Sample: All Data Dataset: Corrective Self Explanation - 2006 (CL)
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) KC(Default) KC Category(Default) School Class
1712O8eu session1 2007-02-27 15:23:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-1y) strategic 1 BUG add 6 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:23:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-1y) strategic 2 BUG add +6 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:24:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-1y) strategic 3 OK mt -1y condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:24:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-y) strategic 1 OK subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:25:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-1y) strategic 4 OK mt -1y condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:25:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-y) strategic 2 OK subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:26:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-y) strategic 3 OK divide -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:26:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6/-1 = (8+(-y))/-1 strategic 1 OK rf -6/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:26:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = (8+(-y))/-1 strategic 1 OK rf (8+(-y))/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:27:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8+(-y) strategic 4 OK subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:27:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-8 = 8+(-y)-8 strategic 1 OK clt -6-8 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:27:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -14 = 8+(-y)-8 strategic 1 OK clt 8+(-y)-8 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:27:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -14 = -y strategic 1 OK divide -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:27:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -14/-1 = -y/-1 strategic 1 OK rf -14/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:27:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 14 = -y/-1 strategic 1 OK rf -y/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:31:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y) = 0 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:31:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)+8 = 0+8 left 1 OK left (-6y) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:31:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = 0+8 right 1 OK right 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:31:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = 8 strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:31:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = 8/-6 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:31:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 8/-6 right 1 OK right 8/-6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:32:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 8/-6 strategic 1 OK rf 8/-6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:32:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 4/-3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:32:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 4/-3 strategic 1 OK rf 4/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:32:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 8/-6 strategic 2 OK rf 8/-6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:32:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 4/-3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:33:46.0 HINT HINT ES_02 ES_02-6 EG40 y = 4/-3 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:33:48.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:33:51.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 4/-3 strategic 3 OK rf 4/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG 4/3 4/3
Check the sign of your answer. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 4/-3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 4/-3 strategic 4 BUG rds y = 4/-3 strategic Simplify the fraction 4/-3. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 4/-3 strategic 5 BUG rds y = 4/-3 strategic Simplify the fraction 4/-3. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 4/-3 strategic 6 OK rf 4/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG -4/-3 -4/-3
Check the sign of your answer. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:44.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT -4/-3 In the above expression you have 4/-3. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:52.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -3 into 4. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:34:55.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type -4/3. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK - 4/3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:38:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = y/-6+3 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:38:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-3 = y/-6+3-3 strategic 1 OK clt -3-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:38:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/-6+3-3 strategic 1 OK clt y/-6+3-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:38:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/-6 strategic 1 OK multiply -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:38:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*(-6) = y/-6*(-6) strategic 1 OK rf y/-6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:38:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*(-6) = y/-6*(-6) strategic 2 OK mt -6*(-6) condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:38:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 36 = y/-6*(-6) strategic 1 OK mt y/-6*(-6) condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:39:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8+(-7) = 6 strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:39:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8+(-7)+7 = 6+7 strategic 1 OK clt y/8+(-7)+7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:39:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8 = 6+7 strategic 1 OK clt 6+7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:39:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8 = 13 strategic 1 OK multiply 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:39:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8*8 = 13*8 strategic 1 OK mt y/8*8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:39:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 13*8 strategic 1 OK mt 13*8 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:42:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = x/-4+1 strategic 1 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:42:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-1 = x/-4+1-1 left 1 OK left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:42:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = x/-4+1-1 right 1 OK right x/-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:42:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = x/-4 strategic 1 OK multiply -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:42:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*(-4) = x/-4*(-4) left 1 OK left -28 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:42:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -28 = x/-4*(-4) right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:43:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = -7+(y/-5) strategic 1 OK add 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:43:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+7 = -7+(y/-5)+7 left 1 OK left 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:43:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -7+(y/-5)+7 right 1 OK right y/-5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:43:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-5 strategic 1 OK multiply -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:43:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*(-5) = y/-5*(-5) left 1 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:43:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-5*(-5) right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session1 2007-02-27 15:45:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = 7/x strategic 1 BUG multiply 7 To remove 7/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:18:11.0 HINT HINT ES_02 ES_02-9 EG44 7 = 7/x strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:18:12.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 7/x is 7 divided by x. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:18:15.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:18:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = 7/x strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:18:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x = 7/x*x strategic 1 ERROR rds 7x = 7/x*x strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:18:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x = 7/x*x strategic 2 OK mt 7/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:18:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x = 7 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:19:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x/7 = 7/7 strategic 1 OK rf 7x/7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:19:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 7/7 strategic 1 OK rf 7/7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:19:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = 8/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:19:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2x = 8/x*x strategic 1 OK mt 8/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:19:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2x = 8 strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:19:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2x/2 = 8/2 strategic 1 OK rf 2x/2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:19:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 8/2 strategic 1 OK rf 8/2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:20:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -8 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:20:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y*y = -8y strategic 1 OK mt 2/y*y condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:20:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -8y strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:20:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-8 = -8y/-8 strategic 1 OK rf 2/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:20:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1/4 = -8y/-8 strategic 1 OK rf -8y/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/y = -1 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/y*y = -1y left 1 OK left 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = -1y right 1 OK right -1y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = -1y strategic 1 OK divide -1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/-1 = -1y/-1 left 1 OK left 3/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/-1 = -1y/-1 right 1 OK right y condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = -1y strategic 2 OK divide -1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/-1 = -1y/-1 left 2 OK left - 3/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/1 = -1y/-1 right 1 OK right y condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:22:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/1 = y strategic 1 OK rf -3/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:23:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:23:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -8/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:23:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y = -8/y*y left 1 OK left 9y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:23:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y = -8/y*y right 1 OK right -8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:23:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y = -8 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:23:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y/9 = -8/9 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1712O8eu session2 2007-02-28 15:23:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -8/9 right 1 OK right - 8/9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
1715wreA session0 2007-03-21 13:03:58.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 6y+(-2) = 2 strategic 1 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 6y+(-2)+2 = 2+2 strategic 1 OK clt 6y+(-2)+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 6y = 2+2 strategic 1 OK clt 2+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:12.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 6y = 4 strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:35.0 HINT HINT ES_02orig ES_02-5 EG40 6y/6 = 4/6 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:38.0 HINT HINT ES_02orig ES_02-5 EG40 6y/6 = 4/6 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:39.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 6y/6 = 4/6 strategic 3 OK rf 6y/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:04:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 y = 4/6 strategic 1 OK rf 4/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:05:34.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x+(-9) = -2 strategic 1 OK add 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:05:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x+(-9)+9 = -2+9 left 1 OK left -7x condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:05:58.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x = -2+9 right 1 OK right 7 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:06:03.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x = 7 strategic 1 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session0 2007-03-21 13:06:13.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x = 7 strategic 2 OK divide -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:49:32.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x/-7 = 7/-7 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:49:39.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 x = 7/-7 right 1 ERROR right 0 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:49:48.0 HINT HINT ES_02orig ES_02-6 EG40 x = 7/-7 strategic 1 INITIAL_HINT condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:49:58.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in 7/-7 on the right. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:50:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 x = 7/-7 right 2 OK right 7/-7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:50:19.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 x = 7/-7 strategic 2 OK rf 7/-7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:50:22.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 1 ERROR 0 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:50:25.0 HINT HINT ES_02orig ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT 0 In the above expression you have 7/-7. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:50:47.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 3 OK -1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:52:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 0 = x/-7+(-3) strategic 1 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:52:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 0+3 = x/-7+(-3)+3 strategic 1 OK clt 0+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:52:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = x/-7+(-3)+3 strategic 1 OK clt x/-7+(-3)+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:52:26.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = x/-7 strategic 1 BUG multiply 7 Multiplying by 7 will leave -x. It is better to multiply by -7, because that will leave x. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:52:43.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = x/-7 strategic 2 OK multiply -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:52:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3*(-7) = x/-7*(-7) strategic 1 OK mt 3*(-7) condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:52:50.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -21 = x/-7*(-7) strategic 1 OK mt x/-7*(-7) condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:53:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = x/-2+4 strategic 1 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:53:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3-4 = x/-2+4-4 strategic 1 OK clt 3-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:53:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = x/-2+4-4 strategic 1 OK clt x/-2+4-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:53:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = x/-2 strategic 1 OK multiply -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:53:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1*(-2) = x/-2*(-2) strategic 1 OK mt -1*(-2) condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:53:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 2 = x/-2*(-2) strategic 1 OK mt x/-2*(-2) condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:54:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 10+y/4 = 4 strategic 1 OK subtract 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:55:04.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 10+y/4-10 = 4-10 right 1 OK right -6 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:55:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 10+y/4-10 = -6 left 1 OK left y/4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:55:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/4 = -6 strategic 1 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:55:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/4*4 = -6*4 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:55:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = -6*4 right 1 OK right -24 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:56:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 5 = y/8+(-3) strategic 1 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:56:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 5+3 = y/8+(-3)+3 left 1 OK left 8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:56:40.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 8 = y/8+(-3)+3 right 1 OK right y/8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:56:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 8 = y/8 strategic 1 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:56:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 8*8 = y/8*8 left 1 OK left 64 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:56:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 64 = y/8*8 right 1 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:57:39.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/y = 7 strategic 1 BUG multiply 4 To remove 4/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 4/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:58:43.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/y = 7 strategic 2 ERROR multiply y/4 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:58:43.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/y = 7 strategic 3 ERROR multiply 3 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:59:08.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/y = 7 strategic 4 ERROR multiply 4/y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 13:59:15.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/y = 7 strategic 5 ERROR multiply y/4 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:00:49.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/y = 7 strategic 6 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:00:53.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/y*y = 7y strategic 1 OK mt 4/y*y condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:01:13.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4 = 7y strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:01:22.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4 = 7y strategic 2 BUG subtract 7 In 7y, y is multiplied by 7. How do you undo multiplication? BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:01:32.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4 = 7y strategic 3 OK divide 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:01:35.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4/7 = 7y/7 strategic 1 OK rf 7y/7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:02:15.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = -3/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:02:18.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6x = -3/x*x strategic 1 OK mt -3/x*x condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:02:39.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6x = -3 strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:02:50.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6x/6 = -3/6 strategic 1 OK rf 6x/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:02:50.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 x = -3/6 strategic 1 OK rf -3/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:03:53.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9/y = -3 strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:04:01.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9/y*y = -3y strategic 1 ERROR rf -9/y*y = -3y strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:04:08.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9/y*y = -3y strategic 2 OK mt -9/y*y condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:04:25.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9 = -3y strategic 1 OK divide -3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:04:33.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9/-3 = -3y/-3 strategic 1 OK rf -9/-3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:04:33.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3 = -3y/-3 strategic 1 OK rf -3y/-3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:05:24.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/x = -1 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:05:32.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/x*x = -1x left 1 OK left 9 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:05:39.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9 = -1x right 1 OK right -1x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:05:45.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9 = -1x strategic 1 BUG add 1 In -1x, x is multiplied by -1. How do you undo multiplication? BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:06:07.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9 = -1x strategic 2 OK divide -1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:06:15.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/-1 = -1x/-1 left 1 OK left -9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:06:21.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9 = -1x/-1 right 1 OK right x condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:06:59.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/x = -8 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:07:04.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/x*x = -8x left 1 OK left 3 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:07:09.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3 = -8x right 1 OK right -8x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:07:25.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3 = -8x strategic 1 OK divide -8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:07:36.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/-8 = -8x/-8 left 1 OK left 3/-8 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:07:43.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/-8 = -8x/-8 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:07:56.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/-8 = x strategic 1 OK rf 3/-8 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:08:02.0 HINT HINT ES_02orig ES_02-10 EG44 3/-8 = x strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:08:04.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:08:08.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:08:17.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/-8 = x strategic 3 OK rf 3/-8 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1715wreA session1 2007-04-10 14:09:18.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 1 OK -0.375 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--4--es02or
1718mRDB session0 2007-02-20 15:31:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = 10x+(-4) strategic 1 ERROR distribute -9 = 10x+(-4) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:31:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = 10x+(-4) strategic 2 OK rds -9 = 10x+(-4) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:31:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = 10x-4 strategic 1 ERROR subtract -10 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:31:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = 10x-4 strategic 2 OK subtract -4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:32:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9-(-4) = 10x-4-(-4) strategic 1 OK divide 10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:32:43.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-9-(-4))/10 = (10x-4-(-4))/10 strategic 1 ERROR rf (-9-(-4))/10 = (10x-4-(-4))/10 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:32:46.0 HINT HINT ES_02c ES_02-5 EG40 (-9-(-4))/10 = (10x-4-(-4))/10 strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:32:46.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:32:49.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-9-(-4))/10 = (10x-4-(-4))/10 strategic 3 OK rds (-9-(-4))/10 = (10x-4-(-4))/10 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:32:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-9+4)/10 = (10x-4+4)/10 strategic 1 ERROR rf (-9+4)/10 = (10x-4+4)/10 strategic condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:01.0 HINT HINT ES_02c ES_02-5 EG40 (-9+4)/10 = (10x-4+4)/10 strategic 2 INITIAL_HINT condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:02.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-9+4)/10 = (10x-4+4)/10 strategic 3 OK clt -9+4 condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:16.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5/10 = (10x-4+4)/10 strategic 1 BUG mt -5/10 = (10x-4+4)/10 strategic Simplify the fraction -5/10. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5/10 = (10x-4+4)/10 strategic 2 OK clt 10x-4+4 condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:29.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5/10 = 10x/10 strategic 1 OK rf -5/10 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1/2 = 10x/10 strategic 1 OK rf 10x/10 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:33:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 0 = 7y+3 strategic 1 ERROR clt 0 = 7y+3 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 0 = 7y+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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 0 = 7y+3 strategic 3 OK subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 0-3 = 7y+3-3 strategic 1 OK divide 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (0-3)/7 = (7y+3-3)/7 strategic 1 OK clt 0-3 condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3/7 = (7y+3-3)/7 strategic 1 OK clt 7y+3-3 condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3/7 = 7y/7 strategic 1 BUG clt -3/7 = 7y/7 strategic Simplify the fraction 7y/7. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:28.0 HINT HINT ES_02c ES_02-5 EG40 -3/7 = 7y/7 strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:29.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:34:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3/7 = 7y/7 strategic 3 OK rf 7y/7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y+(-6) = -3 strategic 1 ERROR distribute -3y+(-6) = -3 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y+(-6) = -3 strategic 2 ERROR subtract 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:16.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y+(-6) = -3 strategic 3 BUG subtract -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y+(-6) = -3 strategic 4 ERROR add 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:23.0 HINT HINT ES_02c ES_02-5 EG40 -3y+(-6) = -3 strategic 5 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:24.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y+(-6) = -3 strategic 6 OK rds -3y+(-6) = -3 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6 = -3 strategic 1 ERROR subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:37.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6 = -3 strategic 2 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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6 = -3 strategic 3 OK add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6 = -3 strategic 4 OK add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6+6 = -3+6 strategic 1 ERROR rds -3y-6+6 = -3+6 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:35:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6+6 = -3+6 strategic 2 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6+6 = -3+6 strategic 3 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6+6-3 = -3+6-3 strategic 1 ERROR distribute -3y-6+6-3 = -3+6-3 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:24.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6+6 = -3+6 strategic 4 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:27.0 HINT HINT ES_02c ES_02-5 EG40 -3y-6+6 = -3+6 strategic 5 INITIAL_HINT condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:28.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y-6+6 = -3+6 strategic 6 OK clt -3y-6+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y = -3+6 strategic 1 OK clt -3+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:37.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y = 3 strategic 1 ERROR distribute -3y = 3 strategic condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:43.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y = 3 strategic 2 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:46.0 HINT HINT ES_02c ES_02-5 EG40 -3y = 3 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:47.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE -3y is -3 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:50.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -3. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y = 3 strategic 4 OK divide -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3y/-3 = 3/-3 strategic 1 OK rf -3y/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:36:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = 3/-3 strategic 1 OK rf 3/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:37:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+1 = -10 strategic 1 ERROR distribute 5y+1 = -10 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:37:37.0 HINT HINT ES_02c ES_02-5 EG40 5y+1 = -10 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:37:38.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:37:43.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:37:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+1 = -10 strategic 3 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:01.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+1-1 = -10-1 strategic 1 BUG divide -10 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+1-1 = -10-1 strategic 2 BUG subtract 10 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+1-1 = -10-1 strategic 3 BUG add 10 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:22.0 HINT HINT ES_02c ES_02-5 EG40 5y+1-1 = -10-1 strategic 4 INITIAL_HINT condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:23.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+1-1 = -10-1 strategic 5 OK clt 5y+1-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y = -10-1 strategic 1 OK clt -10-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y = -11 strategic 1 ERROR clt 5y = -11 strategic condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:36.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y = -11 strategic 2 ERROR rds 5y = -11 strategic condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:40.0 HINT HINT ES_02c ES_02-5 EG40 5y = -11 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:41.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE 5y is 5 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:44.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by 5. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:48.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y = -11 strategic 4 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:38:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y/5 = -11/5 strategic 1 OK rf 5y/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9 = -4+4x strategic 1 OK add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9+4 = -4+4x+4 strategic 1 OK clt 9+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 13 = -4+4x+4 strategic 1 OK clt -4+4x+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 13 = 4x strategic 1 ERROR add 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 13 = 4x strategic 2 BUG subtract 4 In 4x, x is multiplied by 4. How do you undo multiplication? BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:34.0 CYCLE CYCLE ES_02c ES_02-5 EG40 13 = 4x strategic 3 ERROR add 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:36.0 HINT HINT ES_02c ES_02-5 EG40 13 = 4x strategic 4 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:37.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 4x is 4 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:40.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by 4. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 13 = 4x strategic 5 OK divide 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 13/4 = 4x/4 strategic 1 BUG clt 13/4 = 4x/4 strategic Simplify the fraction 4x/4. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:39:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 13/4 = 4x/4 strategic 2 OK rf 4x/4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -7+(-2y) strategic 1 OK rds -1 = -7+(-2y) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:16.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -7-2y strategic 1 ERROR add 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -7-2y strategic 2 ERROR subtract 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:27.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -7-2y strategic 3 ERROR subtract -2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:30.0 HINT HINT ES_02c ES_02-5 EG40 -1 = -7-2y strategic 4 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:31.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:34.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:40:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -7-2y strategic 5 OK add 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:41:01.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1+7 = -7-2y+7 strategic 1 BUG subtract 2 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:41:05.0 HINT HINT ES_02c ES_02-5 EG40 -1+7 = -7-2y+7 strategic 2 INITIAL_HINT condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:41:06.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:41:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1+7 = -7-2y+7 strategic 3 OK clt -1+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:41:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6 = -7-2y+7 strategic 1 OK clt -7-2y+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:41:57.0 HINT HINT ES_02c ES_02-5 EG40 6 = -2y strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:41:58.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE -2y is -2 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:42:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6 = -2y strategic 2 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 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:42:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6 = -2y strategic 3 OK divide -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:42:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6/-2 = -2y/-2 strategic 1 OK rf 6/-2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:42:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -2y/-2 strategic 1 OK rf -2y/-2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y+6 = -4 strategic 1 ERROR add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y+6 = -4 strategic 2 BUG subtract -4 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:29.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y+6 = -4 strategic 3 ERROR rds -5y+6 = -4 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y+6 = -4 strategic 4 ERROR clt -5y+6 = -4 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:35.0 HINT HINT ES_02c ES_02-5 EG40 -5y+6 = -4 strategic 5 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:36.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:39.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 6 from both sides of the equation to eliminate the constant value of 6 (6 - 6 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y+6 = -4 strategic 6 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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y+6 = -4 strategic 7 OK subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y+6-6 = -4-6 strategic 1 OK clt -5y+6-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:43:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -4-6 strategic 1 OK clt -4-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:05.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -10 strategic 1 ERROR divide 10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -10 strategic 2 ERROR subtract 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:16.0 HINT HINT ES_02c ES_02-5 EG40 -5y = -10 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:17.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE -5y is -5 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -10 strategic 4 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 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -10 strategic 5 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y/-5 = -10/-5 strategic 1 OK rf -5y/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:44:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = -10/-5 strategic 1 OK rf -10/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7+(-5y) = 4 strategic 1 OK rds 7+(-5y) = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-5y = 4 strategic 1 BUG add 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:42.0 HINT HINT ES_02c ES_02-5 EG40 7-5y+4 = 4+4 strategic 1 INITIAL_HINT condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:43.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-5y+4 = 4+4 strategic 2 OK clt 7-5y+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 11-5y = 4+4 strategic 1 OK clt 4+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 11-5y = 8 strategic 1 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:58.0 HINT HINT ES_02c ES_02-5 EG40 11-5y-8 = 8-8 strategic 1 INITIAL_HINT condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:45:58.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 11-5y-8 = 8-8 strategic 2 OK clt 11-5y-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3-5y = 8-8 strategic 1 OK clt 8-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:07.0 HINT HINT ES_02c ES_02-5 EG40 3-5y = 0 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:08.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:11.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3-5y = 0 strategic 2 OK subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3-5y-3 = 0-3 strategic 1 BUG subtract 3 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:58.0 HINT HINT ES_02c ES_02-5 EG40 3-5y-3 = 0-3 strategic 2 INITIAL_HINT condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:46:59.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:47:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3-5y-3 = 0-3 strategic 3 OK clt 3-5y-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session0 2007-02-20 15:47:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = 0-3 strategic 1 OK clt 0-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:17:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7+(-5y) = 4 strategic 1 OK rds 7+(-5y) = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-5y = 4 strategic 1 ERROR subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:03.0 HINT HINT ES_02c ES_02-5 EG40 7-5y = 4 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:04.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:07.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-5y = 4 strategic 3 OK subtract 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-5y-7 = 4-7 strategic 1 OK clt 7-5y-7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = 4-7 strategic 1 OK clt 4-7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -3 strategic 1 ERROR subtract 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:39.0 HINT HINT ES_02c ES_02-5 EG40 -5y = -3 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:40.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE -5y is -5 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:18:49.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -3 strategic 3 BUG subtract -5 In -5y, y is multiplied by -5. How do you undo multiplication? BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -3 strategic 4 ERROR add -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -3 strategic 5 ERROR subtract 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = -3 strategic 6 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y/-5 = -3/-5 strategic 1 OK rf -5y/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = -3/-5 strategic 1 OK rf -3/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x+8 = 2 strategic 1 ERROR rds -5x+8 = 2 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:56.0 HINT HINT ES_02c ES_02-5 EG40 -5x+8 = 2 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:19:57.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:00.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:04.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x+8 = 2 strategic 3 OK subtract 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x+8-8 = 2-8 strategic 1 OK clt -5x+8-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x = 2-8 strategic 1 OK clt 2-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x = -6 strategic 1 BUG divide 5 In this equation, x is multiplied by -5. Dividing by 5 leaves -x, so you still need to remove the negative sign. It is better to divide by -5, since that would leave x. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:25.0 HINT HINT ES_02c ES_02-5 EG40 -5x = -6 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:26.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE -5x is -5 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x = -6 strategic 3 BUG divide 5 In this equation, x is multiplied by -5. Dividing by 5 leaves -x, so you still need to remove the negative sign. It is better to divide by -5, since that would leave x. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:20:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x = -6 strategic 4 BUG subtract -5 In -5x, x is multiplied by -5. How do you undo multiplication? BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:22:26.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x = -6 strategic 5 BUG subtract -5 In -5x, x is multiplied by -5. How do you undo multiplication? BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:22:30.0 HINT HINT ES_02c ES_02-5 EG40 -5x = -6 strategic 6 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:22:31.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE -5x is -5 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:22:36.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x = -6 strategic 7 BUG divide 5 In this equation, x is multiplied by -5. Dividing by 5 leaves -x, so you still need to remove the negative sign. It is better to divide by -5, since that would leave x. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:22:40.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x/5 = -6/5 strategic 1 BUG divide -5 Simplify the fraction -5x/5. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:22:48.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x = -6 strategic 8 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5x/-5 = -6/-5 strategic 1 OK rf -5x/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = -6/-5 strategic 1 OK rf -6/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:26.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -3y+(-4) strategic 1 OK rds -3 = -3y+(-4) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -3y-4 strategic 1 ERROR clt -3 = -3y-4 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -3y-4 strategic 2 ERROR subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -3y-4 strategic 3 OK divide -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:51.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3/-3 = (-3y-4)/-3 strategic 1 OK rf -3/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:23:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = (-3y-4)/-3 strategic 1 OK rf (-3y-4)/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:25:49.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = -(-3y-4)/3 strategic 1 ERROR rf 1 = -(-3y-4)/3 strategic condition 3 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:25:52.0 HINT HINT ES_02c ES_02-5 EG40 1 = -(-3y-4)/3 strategic 2 INITIAL_HINT condition 3 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:25:56.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE In -(-3y-4)/3, -[-3y-4] is divided by 3. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:25:59.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by 3. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = -(-3y-4)/3 strategic 3 OK multiply 3 condition 3 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1*3 = -(-3y-4)/3*3 strategic 1 ERROR clt 1*3 = -(-3y-4)/3*3 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1*3 = -(-3y-4)/3*3 strategic 2 OK mt 1*3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = -(-3y-4)/3*3 strategic 1 OK mt -(-3y-4)/3*3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = -3(-3y-4)/3 strategic 1 OK rf -3(-3y-4)/3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = -(-3y-4) strategic 1 ERROR rds 3 = -(-3y-4) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:32.0 HINT HINT ES_02c ES_02-5 EG40 3 = -(-3y-4) strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:32.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE In the expression -[-3y-4], (-3y-4) is preceded by -1. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:35.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Distribute -1 over (-3y-4). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:40.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = -(-3y-4) strategic 3 OK distribute -(-3y-4) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = -1*(-3)*y+1*4 strategic 1 OK mt -1*(-3)*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:26:57.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 3y+1*4 strategic 1 OK mt 1*4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 3y+4 strategic 1 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:19.0 HINT HINT ES_02c ES_02-5 EG40 3 = 3y+4 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:19.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 5 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:23.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 6 HINT_LEVEL_CHANGE You can subtract 4 from both sides of the equation to eliminate the constant value of 4 (4 - 4 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 3y+4 strategic 3 OK subtract 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3-4 = 3y+4-4 strategic 1 OK clt 3-4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:34.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = 3y+4-4 strategic 1 OK clt 3y+4-4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = 3y strategic 1 BUG subtract 3 In 3y, y is multiplied by 3. How do you undo multiplication? BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = 3y strategic 2 ERROR subtract 1 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:46.0 HINT HINT ES_02c ES_02-5 EG40 -1 = 3y strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:47.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 7 HINT_LEVEL_CHANGE 3y is 3 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:51.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = 3y strategic 4 OK divide 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:27:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1/3 = 3y/3 strategic 1 OK rf 3y/3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:20.0 HINT HINT ES_02c ES_02-5 EG40 -8+6x = -5 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:20.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:24.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8+6x = -5 strategic 2 OK add 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:34.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8+6x+8 = -5+8 strategic 1 OK clt -8+6x+8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:34.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6x = -5+8 strategic 1 OK clt -5+8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:40.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6x = 3 strategic 1 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:44.0 HINT HINT ES_02c ES_02-5 EG40 6x = 3 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:44.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE 6x is 6 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:48.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6x = 3 strategic 3 OK divide 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6x/6 = 3/6 strategic 1 OK rf 6x/6 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:29:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = 3/6 strategic 1 OK rf 3/6 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:30:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9x+3 = 6 strategic 1 ERROR distribute 9x+3 = 6 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:31:03.0 HINT HINT ES_02c ES_02-5 EG40 9x+3 = 6 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:31:04.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:31:07.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:31:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9x+3 = 6 strategic 3 OK subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:31:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9x+3-3 = 6-3 strategic 1 OK clt 9x+3-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:31:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9x = 6-3 strategic 1 OK clt 6-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:31:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9x = 3 strategic 1 OK divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:32:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9x/9 = 3/9 strategic 1 OK rf 9x/9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:32:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = 3/9 strategic 1 OK rf 3/9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:32:52.0 HINT HINT ES_02c ES_02-5 EG40 7x+3 = 0 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:32:53.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:32:57.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:33:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x+3 = 0 strategic 2 OK subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:33:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x+3-3 = 0-3 strategic 1 OK clt 7x+3-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:33:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x = 0-3 strategic 1 OK clt 0-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:33:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x = -3 strategic 1 OK divide 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:33:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x/7 = -3/7 strategic 1 OK rf 7x/7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:33:45.0 CYCLE CYCLE ES_02c ES_02-5 EG40 10 = 9+(-3x) strategic 1 ERROR distribute 10 = 9+(-3x) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:33:48.0 CYCLE CYCLE ES_02c ES_02-5 EG40 10 = 9+(-3x) strategic 2 OK rds 10 = 9+(-3x) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:34:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 10 = 9-3x strategic 1 OK subtract 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:34:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 10-9 = 9-3x-9 strategic 1 OK clt 10-9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:34:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = 9-3x-9 strategic 1 OK clt 9-3x-9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:34:24.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = -3x strategic 1 BUG divide 3 In this equation, x is multiplied by -3. Dividing by 3 leaves -x, so you still need to remove the negative sign. It is better to divide by -3, since that would leave x. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:34:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = -3x strategic 2 OK divide -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:34:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1/-3 = -3x/-3 strategic 1 OK rf 1/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:34:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1/3 = -3x/-3 strategic 1 OK rf -3x/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:35:17.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x+10 = 7 strategic 1 ERROR distribute 5x+10 = 7 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:35:21.0 HINT HINT ES_02c ES_02-5 EG40 5x+10 = 7 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:35:22.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:35:25.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 10 from both sides of the equation to eliminate the constant value of 10 (10 - 10 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:35:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x+10 = 7 strategic 3 OK subtract 10 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:35:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x+10-10 = 7-10 strategic 1 OK clt 5x+10-10 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:35:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x = 7-10 strategic 1 OK clt 7-10 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:36:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x = -3 strategic 1 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session1 2007-02-28 15:36:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x/5 = -3/5 strategic 1 OK rf 5x/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:02.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -7+7x = -6 strategic 1 ERROR distribute -7+7x = -6 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:08.0 HINT HINT ES_02c ES_02-6 EG40 -7+7x = -6 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:09.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:12.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -7+7x = -6 strategic 3 OK add 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -7+7x+7 = -6+7 right 1 ERROR right 13 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -7+7x+7 = -6+7 left 1 OK left -7+7x+7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:40.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -7+7x+7 = -6+7 right 2 OK right -6+7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:49.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -7+7x+7 = -6+7 strategic 1 OK clt -7+7x+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms2R1 strategic 1 OK +7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:54.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 1 BUG +7x +7x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +7x, is not one of the constant terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:20:57.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 2 BUG 7 Be sure to select both the term and the negative sign in front of it. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:01.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x1R1 strategic 1 OK +7x condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:05.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 3 OK -7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:07.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:12.0 CYCLE CYCLE ES_02c ES_02-6 EG40 xR2 strategic 1 OK 7x condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 OK 7x condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7x = -6+7 strategic 1 OK clt -6+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 ERROR 0 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 ERROR x condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 4 ERROR 7 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:25.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT 7 Simplify the expression [-6]+[7]. HINT 1 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:27.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:30.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Adding [-6]+[7] yields 1. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 6 OK 1 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:42.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7x = 1 strategic 1 OK divide 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:45.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7x/7 = 1/7 right 1 ERROR right 0 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7x/7 = 1/7 right 2 OK right 1/7 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:21:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7x/7 = 1/7 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:22:26.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4+5y = -9 strategic 1 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:22:29.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 right 1 BUG right 9/5 You are dividing a negative by a positive. The result should be negative. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:22:39.0 HINT HINT ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:22:39.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in (4+5y)/5 on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:22:54.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 left 1 ERROR left 4+5y/5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:23:16.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 left 2 ERROR left 4+5y/+5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:23:38.0 HINT HINT ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 strategic 2 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:23:39.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Type in (4+5y)/5 on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:23:56.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 left 3 OK left (4+5y)/5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:24:15.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 right 2 OK right -9/5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:24:18.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 strategic 3 ERROR clt (4+5y)/5 = -9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:24:22.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 strategic 4 ERROR clt (4+5y)/5 = -9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:24:29.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 strategic 5 ERROR rf (4+5y)/5 = -9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:01.0 HINT HINT ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 strategic 6 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:02.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Distribute on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:06.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (4+5y)/5 = -9/5 strategic 7 OK distribute (4+5y)/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:09.0 CYCLE CYCLE ES_02c ES_02-6 EG40 di-expr strategic 1 OK 1/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:12.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row1-1-term1 strategic 1 OK +5y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:14.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row1-1-term0 strategic 1 OK 4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term1 strategic 1 ERROR 5y(-/5) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term1 strategic 2 OK 5y(1/5) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:25:51.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term0 strategic 1 OK 4(1/5) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:26:11.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 ERROR 9y*1/5 condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:26:16.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT 9y*1/5 What is the final result of the terms once distributed? Perform addition on the individual distributed terms. HINT 1 condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:26:17.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Performing the addition results in [1/5]*[4]+[1/5]*[5y]. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:26:27.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 ERROR 5y condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:26:57.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT 5y Performing the addition results in [1/5]*[4]+[1/5]*[5y]. HINT 2 condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:27:15.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 5 OK 1/5*4+1/5*5y condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:27:19.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1/5*4+1/5*5y = -9/5 strategic 1 ERROR clt 1/5*4+1/5*5y = -9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:27:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1/5*4+1/5*5y = -9/5 strategic 2 ERROR distribute 1/5*4+1/5*5y = -9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:27:29.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1/5*4+1/5*5y = -9/5 strategic 3 ERROR rf 1/5*4+1/5*5y = -9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:01.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1/5*4+1/5*5y = -9/5 strategic 4 OK mt 1/5*5y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:05.0 HINT HINT ES_02c ES_02-6 EG40 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:06.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE What is 1 times 5 times y? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:10.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Type 5y. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:12.0 CYCLE CYCLE ES_02c ES_02-6 EG40 pm-r-num-node strategic 2 OK 5y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 pm-r-den-node strategic 1 ERROR 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:22.0 HINT HINT ES_02c ES_02-6 EG40 pm-r-den-node strategic 2 INITIAL_HINT 1 You need to multiply the denominators together. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:27.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE What is 5 times 1 times 1? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:29.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE Type 5. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:32.0 CYCLE CYCLE ES_02c ES_02-6 EG40 pm-r-den-node strategic 3 OK 5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:29:38.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 6 OK y condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:01.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1/5*4+y = -9/5 strategic 1 OK mt 1/5*4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:06.0 CYCLE CYCLE ES_02c ES_02-6 EG40 pm-r-num-node strategic 3 OK 4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:08.0 CYCLE CYCLE ES_02c ES_02-6 EG40 pm-r-den-node strategic 4 OK 5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:11.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 7 OK 4/5 condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:18.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/5+y = -9/5 strategic 1 ERROR rf 4/5+y = -9/5 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:26.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/5+y = -9/5 strategic 2 ERROR clt 4/5+y = -9/5 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:35.0 HINT HINT ES_02c ES_02-6 EG40 4/5+y = -9/5 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:36.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 9 HINT_LEVEL_CHANGE 4/5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 4/5 (make it zero)? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:40.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 10 HINT_LEVEL_CHANGE You can subtract 4/5 from both sides of the equation to eliminate the constant value of 4/5 (4/5 - 4/5 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/5+y = -9/5 strategic 4 OK subtract 4/5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:30:56.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/5+y-4/5 = -9/5-4/5 right 1 BUG right 1 1 is equal to 9/5 minus 4/5. You need to calculate -9/5 minus 4/5. BUG condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:31:00.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/5+y-4/5 = -9/5-4/5 right 2 ERROR right 5/9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:31:02.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/5+y-4/5 = -9/5-4/5 right 3 ERROR right 4/9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:31:08.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/5+y-4/5 = -9/5-4/5 left 1 OK left y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:31:13.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -9/5-4/5 right 1 ERROR right -5/9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session2 2007-03-06 15:31:18.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -9/5-4/5 right 2 ERROR right -4/9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:18.0 HINT HINT ES_02c ES_02-6 EG40 y = -9/5-4/5 strategic 1 INITIAL_HINT condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:19.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in -9/5-4/5 on the right. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:30.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -9/5-4/5 right 1 OK right -9/5-4/5 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:38.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -9/5-4/5 strategic 2 ERROR rf y = -9/5-4/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:42.0 HINT HINT ES_02c ES_02-6 EG40 y = -9/5-4/5 strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:42.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:45.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -9/5-4/5 strategic 4 OK clt -9/5-4/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:52.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-num-node strategic 1 ERROR -9/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:54.0 HINT HINT ES_02c ES_02-6 EG40 clt-r-num-node strategic 2 INITIAL_HINT -9/5 You need to subtract the numerators. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:56.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE What is -9 minus 4? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:21:59.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type -9-4. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:06.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-num-node strategic 3 OK -13 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:21.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-den-node strategic 1 ERROR -10 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:23.0 HINT HINT ES_02c ES_02-6 EG40 clt-r-den-node strategic 2 INITIAL_HINT -10 Since you are subtracting, leave the denominator the same. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:24.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Type 5. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:26.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-den-node strategic 3 OK 5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:33.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 condition 3 combine-like-terms-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:34.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Type (-9-4)/5. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:22:45.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 ERROR -9-4/5 condition 3 combine-like-terms-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:23:11.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 OK (-9-4)/5 condition 3 combine-like-terms-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:23:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = (-9-4)/5 strategic 1 BUG rf y = (-9-4)/5 strategic You already solved the equation. y is [-9-4]/5. BUG condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:23:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = (-9-4)/5 strategic 2 BUG rds y = (-9-4)/5 strategic You already solved the equation. y is [-9-4]/5. BUG condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:23:28.0 HINT HINT ES_02c ES_02-6 EG40 y = (-9-4)/5 strategic 3 INITIAL_HINT condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:23:29.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:23:32.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = (-9-4)/5 strategic 4 OK clt -9-4 condition 3 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:24:24.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 4 OK -13 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:26:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10 = -5y+5 strategic 1 OK subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:26:33.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10-5 = -5y+5-5 right 1 OK right -5y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:26:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10-5 = -5y left 1 OK left -15 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:26:54.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15 = -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 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:26:58.0 HINT HINT ES_02c ES_02-6 EG40 -15 = -5y strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:26:59.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -5y is -5 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:05.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15 = -5y strategic 3 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:08.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15/-5 = -5y/-5 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:24.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15/-5 = y left 1 BUG left -3 You are dividing a negative by a negative. The result should be positive. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:32.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15/-5 = y left 2 OK left -15/-5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:35.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15/-5 = y strategic 1 OK rf -15/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:39.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have -15/-5. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:40.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -5 into -15. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:52.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15/-5 = y strategic 2 BUG divide -5 Simplify the fraction -15/-5. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:55.0 HINT HINT ES_02c ES_02-6 EG40 -15/-5 = y strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:27:56.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:28:00.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -15/-5 = y strategic 4 OK rf -15/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:28:07.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT In the above expression you have -15/-5. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:28:11.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE To simplify, divide -5 into -15. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:28:14.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Type 3. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:28:18.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 OK 3 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:28:57.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9+(-8x) = -8 strategic 1 ERROR distribute -9+(-8x) = -8 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:28:59.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9+(-8x) = -8 strategic 2 OK rds -9+(-8x) = -8 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:29:26.0 HINT HINT ES_02c ES_02-6 EG40 -9-8x = -8 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:29:26.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:29:30.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:29:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9-8x = -8 strategic 2 OK add 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:29:40.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9-8x+9 = -8+9 right 1 OK right 1 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:29:51.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9-8x+9 = 1 left 1 BUG left 8x You forgot the negative sign. BUG condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:29:56.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9-8x+9 = 1 left 2 OK left -8x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:02.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -8x = 1 strategic 1 BUG subtract 1 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:08.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -8x = 1 strategic 2 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:12.0 HINT HINT ES_02c ES_02-6 EG40 -8x = 1 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:13.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -8x is -8 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -8x = 1 strategic 4 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:21.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -8x/-8 = 1/-8 right 1 BUG right 1 You haven't performed any operations. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:28.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -8x/-8 = 1/-8 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:35.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = 1/-8 right 1 OK right 1/-8 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = 1/-8 strategic 1 OK rf 1/-8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:43.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 1/-8. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:44.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE To simplify, divide -8 into 1. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:47.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Type -1/8. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:30:54.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 OK -1/8 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:31:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1+(-3x) = -8 strategic 1 OK rds 1+(-3x) = -8 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:06.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1-3x = -8 strategic 1 ERROR subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:10.0 HINT HINT ES_02c ES_02-6 EG40 1-3x = -8 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:11.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:15.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1-3x = -8 strategic 3 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:22.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1-3x-1 = -8-1 right 1 OK right -9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:34.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1-3x-1 = -9 left 1 OK left -3x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:47.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -3x = -9 strategic 1 BUG subtract -3 In -3x, x is multiplied by -3. How do you undo multiplication? BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:52.0 HINT HINT ES_02c ES_02-6 EG40 -3x = -9 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:52.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -3x is -3 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:32:56.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -3x = -9 strategic 3 OK divide -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:05.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -3x/-3 = -9/-3 right 1 BUG right -9/3 You are dividing a negative by a negative. The result should be positive. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:09.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -3x/-3 = -9/-3 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:11.0 HINT HINT ES_02c ES_02-6 EG40 x = -9/-3 strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:11.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type in -9/-3 on the right. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = -9/-3 right 1 OK right -9/-3 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:21.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = -9/-3 strategic 2 OK rf -9/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 BUG -9/3 -9/3
Check the sign of your answer. BUG condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:31.0 HINT HINT ES_02c ES_02-6 EG40 x = -9/-3 strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:31.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = -9/-3 strategic 4 OK rf -9/-3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:38.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT In the above expression you have -9/-3. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:38.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE To simplify, divide -3 into -9. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:42.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE Type 3. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:33:43.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 OK 3 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:07.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1 = -8+3y strategic 1 ERROR distribute 1 = -8+3y strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:10.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1 = -8+3y strategic 2 ERROR rds 1 = -8+3y strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:13.0 HINT HINT ES_02c ES_02-6 EG40 1 = -8+3y strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:13.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:17.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:22.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1 = -8+3y strategic 4 OK add 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1+8 = -8+3y+8 left 1 OK left 9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:41.0 CYCLE CYCLE ES_02c ES_02-6 EG40 9 = -8+3y+8 right 1 OK right 3y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:46.0 CYCLE CYCLE ES_02c ES_02-6 EG40 9 = 3y strategic 1 OK divide 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:50.0 CYCLE CYCLE ES_02c ES_02-6 EG40 9/3 = 3y/3 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:35:51.0 CYCLE CYCLE ES_02c ES_02-6 EG40 9/3 = y left 1 OK left 3 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:37:22.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3 = 3y+(-1) strategic 1 OK rds 3 = 3y+(-1) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:37:40.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3 = 3y-1 strategic 1 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:37:44.0 HINT HINT ES_02c ES_02-6 EG40 3 = 3y-1 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:37:44.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:37:47.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3 = 3y-1 strategic 3 OK subtract -1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:38:35.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3-(-1) = 3y-1-(-1) left 1 BUG left -4 You need to calculate 3 minus -1, not -1 minus 3. BUG condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:38:46.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3-(-1) = 3y-1-(-1) left 2 BUG left 2 2 is equal to 3 plus -1. You need to calculate 3 minus -1. BUG condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:38:49.0 HINT HINT ES_02c ES_02-6 EG40 3-(-1) = 3y-1-(-1) strategic 1 INITIAL_HINT condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:38:49.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Type in 3-(-1) on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:38:58.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3-(-1) = 3y-1-(-1) left 3 OK left 3-(-1) condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:02.0 HINT HINT ES_02c ES_02-6 EG40 3+1 = 3y-1-(-1) strategic 1 INITIAL_HINT condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:03.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 3y-1-(-1) on the right. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3+1 = 3y-1-(-1) right 1 OK right 3y-1-(-1) condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:24.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3+1 = 3y-1+1 strategic 1 OK clt 3+1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:27.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 OK 4 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:27.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4 = 3y-1+1 strategic 1 OK clt 3y-1+1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:33.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms2R1 strategic 1 OK +1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:35.0 CYCLE CYCLE ES_02c 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:38.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 1 OK -1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y1R1 strategic 2 OK 3y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:42.0 CYCLE CYCLE ES_02c ES_02-6 EG40 yR2 strategic 1 OK 3y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:44.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:50.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 OK 3y condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:54.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4 = 3y strategic 1 OK divide 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:39:57.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/3 = 3y/3 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:40:01.0 CYCLE CYCLE ES_02c ES_02-6 EG40 4/3 = y left 1 OK left 4/3 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:41:21.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9 = 9+(-5x) strategic 1 OK rds -9 = 9+(-5x) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:41:29.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9 = 9-5x strategic 1 ERROR subtract -5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:41:37.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9 = 9-5x strategic 2 OK subtract -5x condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:41:56.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9-(-5x) = 9-5x-(-5x) left 1 OK left -9-(-5x) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:11.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9+5x = 9-5x-(-5x) right 1 OK right 9-5x-(-5x) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:13.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9+5x = 9-5x+5x strategic 1 OK clt 9-5x+5x condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:16.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 1 BUG +5x +5x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5x, is not one of the constant terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:19.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 2 BUG +5x +5x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5x, is not one of the constant terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 3 BUG +5x +5x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5x, is not one of the constant terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:22.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 4 BUG +5x +5x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +5x, is not one of the constant terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x2R1 strategic 1 OK +5x condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:24.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 5 BUG 5x 5x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 5x, is not one of the constant terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:26.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x1R1 strategic 1 BUG 5x Be sure to select both the term and the negative sign in front of it. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:27.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x1R1 strategic 2 OK -5x condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:29.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant terms1R1 strategic 6 OK 9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:31.0 CYCLE CYCLE ES_02c ES_02-6 EG40 constant termsR2 strategic 1 OK 9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:34.0 CYCLE CYCLE ES_02c ES_02-6 EG40 xR2 strategic 1 ERROR x condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 xR2 strategic 2 ERROR -5x condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 xR2 strategic 3 ERROR -5x5x condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:39.0 HINT HINT ES_02c ES_02-6 EG40 xR2 strategic 4 INITIAL_HINT -5x5x In the group above, -5x and 5x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:43.0 CYCLE CYCLE ES_02c ES_02-6 EG40 xR2 strategic 5 ERROR 5x condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 xR2 strategic 6 ERROR 10x condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:50.0 HINT HINT ES_02c ES_02-6 EG40 xR2 strategic 7 INITIAL_HINT 10x In the group above, -5x and 5x are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:50.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE The coefficients in [-5x]+[+5x] are -5 and 5. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:54.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Combining the like terms -5x and 5x results in 0 HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:55.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 BUG 0 0
Perhaps you should fill in all the x terms above. BUG condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:42:57.0 CYCLE CYCLE ES_02c ES_02-6 EG40 xR2 strategic 8 OK 0 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:01.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 OK 9 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:08.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9+5x = 9 strategic 1 ERROR clt -9+5x = 9 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:12.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9+5x = 9 strategic 2 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:15.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 right 1 OK right 9/5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:19.0 HINT HINT ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:19.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in (-9+5x)/5 on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:27.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 left 1 ERROR left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session3 2007-03-07 15:43:38.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 left 2 BUG left -9+5x You haven't performed any operations. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:15:40.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 left 1 OK left (-9+5x)/5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:15:49.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 strategic 1 ERROR rf (-9+5x)/5 = 9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:11.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 strategic 2 ERROR clt (-9+5x)/5 = 9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:18.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 strategic 3 ERROR rf (-9+5x)/5 = 9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:21.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 strategic 4 ERROR rds (-9+5x)/5 = 9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:23.0 HINT HINT ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 strategic 5 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:23.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Distribute on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:29.0 CYCLE CYCLE ES_02c ES_02-6 EG40 (-9+5x)/5 = 9/5 strategic 6 OK distribute (-9+5x)/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:32.0 CYCLE CYCLE ES_02c ES_02-6 EG40 di-expr strategic 1 OK 1/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row1-1-term1 strategic 1 OK +5x condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:38.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row1-1-term0 strategic 1 OK -9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:46.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term0 strategic 1 OK -9(1/5) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:50.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term1 strategic 1 OK x condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:16:52.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 ERROR x condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:05.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 OK -9*1/5+x condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:06.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9*1/5+x = 9/5 strategic 1 OK unnec-elems -9*1/5+x=9/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:16.0 HINT HINT ES_02c ES_02-6 EG40 -9/5+x = 9/5 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:17.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE -9/5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -9/5 (make it zero)? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:20.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE You can add 9/5 to both sides of the equation to eliminate the constant value of -9/5 (-9/5 + 9/5 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:32.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9/5+x = 9/5 strategic 2 OK add 9/5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9/5+x+9/5 = 9/5+9/5 left 1 OK left x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:41.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = 9/5+9/5 right 1 BUG right 9/5 You haven't performed any operations. BUG condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:17:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = 9/5+9/5 right 2 OK right 9/5+9/5 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:04.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = 9/5+9/5 strategic 1 ERROR rf x = 9/5+9/5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:14.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = 9/5+9/5 strategic 2 BUG subtract 9/5 You can place the expression in a more simplified form by combining like terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:25.0 HINT HINT ES_02c ES_02-6 EG40 x = 9/5+9/5 strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:25.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:28.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = 9/5+9/5 strategic 4 OK clt 9/5+9/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:31.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-num-node strategic 1 ERROR 0 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:32.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-den-node strategic 1 ERROR 0 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:42.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-num-node strategic 2 ERROR 9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-num-node strategic 3 ERROR 9/5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:48.0 HINT HINT ES_02c ES_02-6 EG40 clt-r-num-node strategic 4 INITIAL_HINT 9/5 You need to add the numerators. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:50.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE What is 9 plus 9? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-num-node strategic 5 OK 18 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:55.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-den-node strategic 2 ERROR 10 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:18:56.0 CYCLE CYCLE ES_02c ES_02-6 EG40 clt-r-den-node strategic 3 OK 5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session4 2007-03-13 14:19:00.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 OK 18/5 condition 3 combine-like-terms-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:06.0 CYCLE CYCLE ES_02c ES_02-7 EG41 8+y/5 = 6 strategic 1 ERROR distribute 8+y/5 = 6 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:11.0 HINT HINT ES_02c ES_02-7 EG41 8+y/5 = 6 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:13.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:17.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 8+y/5 = 6 strategic 3 OK subtract 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 8+y/5-8 = 6-8 strategic 1 OK clt 8+y/5-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:50.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/5 = 6-8 strategic 1 OK clt 6-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:14:57.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/5 = -2 strategic 1 BUG divide 5 To remove the coefficient of y/5, you need to divide by 1/5 or multiply by 5. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:01.0 HINT HINT ES_02c ES_02-7 EG41 y/5 = -2 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:02.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In y/5, y is divided by 5. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:02.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 5. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:08.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/5 = -2 strategic 3 OK multiply 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:11.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/5*5 = -2*5 strategic 1 ERROR clt y/5*5 = -2*5 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/5*5 = -2*5 strategic 2 OK mt y/5*5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = -2*5 strategic 1 OK mt -2*5 condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:15:54.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/-8+(-1) = -4 strategic 1 BUG multiply 8 Simplify the fraction x/-8. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:01.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/-8+(-1) = -4 strategic 2 OK rf x/-8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8+(-1) = -4 strategic 1 ERROR distribute -x/8+(-1) = -4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:12.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8+(-1) = -4 strategic 2 ERROR multiply 8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:26.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8+(-1) = -4 strategic 3 OK subtract -1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:32.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8+(-1)-(-1) = -4-(-1) strategic 1 OK clt -x/8+(-1)-(-1) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:32.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8 = -4-(-1) strategic 1 OK clt -4-(-1) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:37.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8 = -3 strategic 1 OK multiply 8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:16:40.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8*8 = -3*8 strategic 1 ERROR clt -x/8*8 = -3*8 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:09.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8*8 = -3*8 strategic 2 ERROR clt -x/8*8 = -3*8 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:14.0 HINT HINT ES_02c ES_02-7 EG41 -x/8*8 = -3*8 strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:15.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/8*8 = -3*8 strategic 4 OK mt -x/8*8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8x/8 = -3*8 strategic 1 OK mt -3*8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8x/8 = -24 strategic 1 OK multiply 8 condition 3 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:38.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8x/8*8 = -24*8 strategic 1 OK mt -8x/8*8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:38.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -64x/8 = -24*8 strategic 1 OK mt -24*8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:50.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -64x/8 = -192 strategic 1 OK multiply 8 condition 3 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:57.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -64x/8*8 = -192*8 strategic 1 OK mt -64x/8*8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:17:57.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -512x/8 = -192*8 strategic 1 OK mt -192*8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:03.0 HINT HINT ES_02c ES_02-7 EG41 -512x/8 = -1536 strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:04.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:08.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -512x/8 = -1536 strategic 2 OK rf -512x/8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:15.0 HINT HINT ES_02c ES_02-7 EG41 -64x = -1536 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:17.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE -64x is -64 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:20.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -64. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -64x = -1536 strategic 2 OK divide -64 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:29.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -64x/-64 = -1536/-64 strategic 1 OK rf -64x/-64 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:30.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x = -1536/-64 strategic 1 OK rf -1536/-64 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:53.0 CYCLE CYCLE ES_02c ES_02-7 EG41 2+(x/-7) = -6 strategic 1 BUG rds 2+(x/-7) = -6 strategic Simplify the fraction x/-7. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:18:59.0 CYCLE CYCLE ES_02c ES_02-7 EG41 2+(x/-7) = -6 strategic 2 BUG distribute 2+(x/-7) = -6 strategic Simplify the fraction x/-7. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:10.0 CYCLE CYCLE ES_02c ES_02-7 EG41 2+(x/-7) = -6 strategic 3 OK subtract 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 2+(x/-7)-2 = -6-2 strategic 1 OK clt 2+(x/-7)-2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/-7 = -6-2 strategic 1 OK clt -6-2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:18.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/-7 = -8 strategic 1 OK rf x/-7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/7 = -8 strategic 1 OK multiply 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:29.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/7*7 = -8*7 strategic 1 OK mt -x/7*7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:30.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7x/7 = -8*7 strategic 1 OK mt -8*7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7x/7 = -56 strategic 1 BUG distribute -7x/7 = -56 strategic Simplify the fraction -7x/7. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7x/7 = -56 strategic 2 BUG divide 7 Simplify the fraction -7x/7. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:53.0 HINT HINT ES_02c ES_02-7 EG41 -7x/7 = -56 strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:54.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:19:58.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7x/7 = -56 strategic 4 OK rf -7x/7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:20:06.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x = -56 strategic 1 ERROR rds -x = -56 strategic condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:20:09.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x = -56 strategic 2 ERROR distribute -x = -56 strategic condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:20:11.0 HINT HINT ES_02c ES_02-7 EG41 -x = -56 strategic 3 INITIAL_HINT condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:20:12.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:20:19.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x = -56 strategic 4 OK divide -1 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:20:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -x/-1 = -56/-1 strategic 1 OK rf -x/-1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:20:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x = -56/-1 strategic 1 OK rf -56/-1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:25:54.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2+2 = -3 strategic 1 ERROR distribute x/2+2 = -3 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:25:57.0 HINT HINT ES_02c ES_02-8 EG41 x/2+2 = -3 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:25:58.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:26:01.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:29:34.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2+2 = -3 strategic 3 OK subtract 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:29:39.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2+2-2 = -3-2 right 1 OK right -5 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:29:43.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2+2-2 = -5 left 1 ERROR left x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:30:11.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2+2-2 = -5 left 2 ERROR left 0 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:30:17.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2+2-2 = -5 left 3 OK left x/2 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:30:22.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2 = -5 strategic 1 OK multiply 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:30:25.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2*2 = -5*2 right 1 OK right -10 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:30:29.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/2*2 = -10 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:31:05.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(y/-4) strategic 1 OK rf y/-4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:31:09.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 1 ERROR y condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:31:29.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 2 ERROR y/-2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:31:33.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 3 ERROR y condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:31:38.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 4 BUG y/4 y/4
Check the sign of your answer. BUG condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:31:45.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 5 OK y/-4 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:00.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(y/-4) strategic 2 BUG distribute -1 = -9+(y/-4) strategic Simplify the fraction y/-4. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:07.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(y/-4) strategic 3 BUG rds -1 = -9+(y/-4) strategic Simplify the fraction y/-4. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:16.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(y/-4) strategic 4 BUG rds -1 = -9+(y/-4) strategic Simplify the fraction y/-4. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:20.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(y/-4) strategic 5 OK rf y/-4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:22.0 HINT HINT ES_02c ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT In the above expression you have y/-4. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:23.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -4 into y. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:27.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type -y/4. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:34.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(y/-4) strategic 6 OK rf y/-4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:40.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 7 OK -y/4 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:43.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(-y/4) strategic 1 ERROR distribute -1 = -9+(-y/4) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:32:57.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(-y/4) strategic 2 BUG divide 9 You want to isolate -y/4 by removing -9 from the right side. 9 is subtracted from -y/4. What is the opposite of subtraction? BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:34:14.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = -9+(-y/4) strategic 3 OK subtract -9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:34:23.0 HINT HINT ES_02c ES_02-8 EG41 -1-(-9) = -9+(-y/4)-(-9) strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:34:24.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Type in -1-(-9) on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:34:36.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9+(-y/4)-(-9) = -1-(-9) right 1 OK right -1-(-9) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:35:36.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9+(-y/4)-(-9) = -1+9 left 1 BUG left -8 You need to calculate -1 minus -9, not -9 minus -1. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:35:43.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9+(-y/4)-(-9) = -1+9 left 2 BUG left -1-(-9) Just subtract -9 from -1. You can simplify in the next step. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:35:47.0 HINT HINT ES_02c ES_02-8 EG41 -9+(-y/4)-(-9) = -1+9 strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:35:47.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Type in -9+(-y/4)-(-9) on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:36:04.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9+(-y/4)-(-9) = -1+9 left 3 ERROR left -9+(-y/4)-9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:36:14.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9+(-y/4)-(-9) = -1+9 left 4 OK left -9+(-y/4)-(-9) condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:40:58.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9-y/4+9 = -1+9 strategic 1 ERROR rf -9-y/4+9 = -1+9 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:02.0 HINT HINT ES_02c ES_02-8 EG41 -9-y/4+9 = -1+9 strategic 2 INITIAL_HINT condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:02.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:08.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9-y/4+9 = -1+9 strategic 3 OK clt -9-y/4+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:11.0 CYCLE CYCLE ES_02c ES_02-8 EG41 constant terms2R1 strategic 1 OK +9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:13.0 CYCLE CYCLE ES_02c ES_02-8 EG41 constant terms1R1 strategic 1 BUG -y/4 -y/4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -y/4, is not one of the constant terms. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:16.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y1R1 strategic 1 OK -y/4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:18.0 CYCLE CYCLE ES_02c ES_02-8 EG41 constant terms1R1 strategic 2 OK -9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:20.0 CYCLE CYCLE ES_02c ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:24.0 CYCLE CYCLE ES_02c ES_02-8 EG41 yR2 strategic 1 ERROR y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:29.0 CYCLE CYCLE ES_02c ES_02-8 EG41 yR2 strategic 2 OK -y/4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:34.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 8 OK -y/4 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:34.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -y/4 = -1+9 strategic 1 OK clt -1+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:41:38.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 9 OK 8 condition 3 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:19.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -y/4 = 8 strategic 1 ERROR divide 4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:26.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -y/4 = 8 strategic 2 OK multiply 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:32.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -y/4*4 = 8*4 right 1 OK right 32 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:37.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -y/4*4 = 32 left 1 ERROR left 8 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:40.0 HINT HINT ES_02c ES_02-8 EG41 -y/4*4 = 32 strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:41.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE Type in -y/4*4 on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:48.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -y/4*4 = 32 left 2 OK left -y/4*4 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:42:52.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -y/4*4 = 32 strategic 2 OK mt -y/4*4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:01.0 CYCLE CYCLE ES_02c ES_02-8 EG41 pm-r-num-node strategic 1 ERROR y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:04.0 HINT HINT ES_02c ES_02-8 EG41 pm-r-num-node strategic 2 INITIAL_HINT y You need to multiply the numerators together. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:05.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE What is -y times 4? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:08.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE Type -4y. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:11.0 CYCLE CYCLE ES_02c ES_02-8 EG41 pm-r-num-node strategic 3 OK -4y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:21.0 HINT HINT ES_02c ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:22.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 9 HINT_LEVEL_CHANGE What is 4 times 1? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:24.0 CYCLE CYCLE ES_02c ES_02-8 EG41 pm-r-den-node strategic 2 OK 4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:27.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 10 ERROR y condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:32.0 CYCLE CYCLE ES_02c ES_02-8 EG41 FinalAnswer strategic 11 OK -4y/4 condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:43:57.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -4y/4 = 32 strategic 1 OK rf -4y/4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:02.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:03.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row1-N-y strategic 1 OK y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:05.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row1-N-constant factors strategic 2 OK -4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:07.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1/[4] condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:11.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row1-D-y strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:15.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row2constant factors strategic 1 OK 4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:17.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row2y strategic 1 ERROR y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:20.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row2y strategic 2 ERROR 1y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:24.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row2y strategic 3 ERROR y condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:30.0 CYCLE CYCLE ES_02c ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:32.0 HINT HINT ES_02c ES_02-8 EG41 row3-N-constant factors strategic 2 INITIAL_HINT 2 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
1718mRDB session6 2007-03-14 14:44:33.0 HINT HINT ES_02c ES_02-8 EG41 null strategic 10 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--5--es02c
171AYrrZ session0 2007-03-07 17:45:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 5+(-2x) strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:45:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 5+(-2x) strategic 2 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:45:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-5 = 5+(-2x)-5 strategic 1 OK clt 2-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:45:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 5+(-2x)-5 strategic 1 OK clt 5+(-2x)-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:45:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -2x strategic 1 BUG divide -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:46:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -2x strategic 2 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:46:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/-2 = -2x/-2 strategic 1 OK rf -3/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:46:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/2 = -2x/-2 strategic 1 OK rf -2x/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:47:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+(-5x) = -9 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:47:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+(-5x)-10 = -9-10 strategic 1 OK clt 10+(-5x)-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:47:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5x = -9-10 strategic 1 OK clt -9-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:47:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5x = -19 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:47:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5x/-5 = -19/-5 strategic 1 OK rf -5x/-5 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:47:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -19/-5 strategic 1 OK rf -19/-5 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:48:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y+4 = 5 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:48:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y+4-4 = 5-4 strategic 1 OK clt -3y+4-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:48:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = 5-4 strategic 1 OK clt 5-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:48:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = 1 strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:48:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y/-3 = 1/-3 strategic 1 OK rf -3y/-3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:48:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 1/-3 strategic 1 OK rf 1/-3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:52:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+(-2y) = -4 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:53:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+(-2y)-6 = -4-6 left 1 OK left -2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:53:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y = -4-6 right 1 OK right -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:53:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y = -10 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:53:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = -10/-2 left 1 ERROR left 58 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:53:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = -10/-2 right 1 OK right 5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:53:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = 5 left 1 ERROR left 5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:53:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = 5 left 2 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:54:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+(-2y) = -5 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:54:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+(-2y)-5 = -5-5 left 1 OK left -2y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:54:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y = -5-5 right 1 OK right -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:54:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y = -10 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:54:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = -10/-2 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:54:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = -10/-2 right 1 OK right 5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:55:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+(-8x) = 10 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:55:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+(-8x)+6 = 10+6 left 1 OK left -8x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:55:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = 10+6 right 1 OK right 16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:55:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = 16 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:55:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = 16/-8 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:55:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 16/-8 right 1 OK right -2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:56:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9+9 = 1 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:57:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9+9-9 = 1-9 strategic 1 OK clt y/-9+9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:57:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = 1-9 strategic 1 OK clt 1-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:57:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = -8 strategic 1 BUG divide -9 To remove the coefficient of y/-9, you need to divide by 1/-9 or multiply by -9. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:57:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = -8 strategic 2 OK multiply -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:57:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9*(-9) = -8*(-9) strategic 1 OK mt y/-9*(-9) condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:57:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -8*(-9) strategic 1 OK mt -8*(-9) condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:58:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/7+6 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:58:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7-6 = x/7+6-6 strategic 1 OK clt 7-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:58:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = x/7+6-6 strategic 1 OK clt x/7+6-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:58:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = x/7 strategic 1 OK multiply 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:58:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*7 = x/7*7 strategic 1 OK mt 1*7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session0 2007-03-07 17:58:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/7*7 strategic 1 OK mt x/7*7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:32:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = 4+(y/-7) strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:32:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-4 = 4+(y/-7)-4 left 1 OK left -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:32:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = 4+(y/-7)-4 right 1 OK right y/-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:32:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = y/-7 strategic 1 OK multiply -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:33:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*(-7) = y/-7*(-7) left 1 OK left 84 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:33:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 84 = y/-7*(-7) right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:33:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+(-10) = -2 strategic 1 OK add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:33:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+(-10)+10 = -2+10 left 1 OK left y/5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:33:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5 = -2+10 right 1 OK right 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:33:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5 = 8 strategic 1 OK multiply 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:34:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = 8*5 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:34:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 8*5 right 1 OK right 40 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:35:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -7/x strategic 1 BUG multiply -7 To remove -7/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -7/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:35:56.0 HINT HINT ES_02 ES_02-9 EG44 -8 = -7/x strategic 2 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:35:56.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -7/x is -7 divided by x. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:36:00.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:36:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -7/x strategic 3 ERROR divide x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:36:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -7/x strategic 4 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:36:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = -7/x*x strategic 1 OK mt -7/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:36:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = -7 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:36:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x/-8 = -7/-8 strategic 1 OK rf -8x/-8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:36:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -7/-8 strategic 1 OK rf -7/-8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:37:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -9/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:37:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y = -9/y*y strategic 1 OK mt -1y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:37:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -y = -9/y*y strategic 1 OK mt -9/y*y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:37:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -y = -9 strategic 1 OK divide -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:37:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -y/-1 = -9/-1 strategic 1 BUG mt -y/-1 = -9/-1 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:37:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -y/-1 = -9/-1 strategic 2 BUG rds -y/-1 = -9/-1 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:37:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -y/-1 = -9/-1 strategic 3 BUG multiply 1 Simplify the fraction -y/-1. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:38:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -y/-1*1 = -9/-1*1 strategic 1 OK unnec-elems -y/-1*1=-9/-1*1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:38:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -y/-1 = -9/-1 strategic 4 OK rf -y/-1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:38:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -9/-1 strategic 1 OK rf -9/-1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:39:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x = 2 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:39:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x*x = 2x strategic 1 OK mt -6/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:39:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 2x strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:39:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/2 = 2x/2 strategic 1 OK rf -6/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:39:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 2x/2 strategic 1 OK rf 2x/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:43:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -6/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:43:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -6/y*y left 1 OK left -2y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:43:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -6/y*y right 1 OK right -6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:43:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -6 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:43:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -6/-2 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:43:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -6/-2 right 1 OK right 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:43:44.0 HINT HINT ES_02 ES_02-10 EG44 y = 3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:44:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x = 9 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:44:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x*x = 9x left 1 OK left 7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:44:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 9x right 1 OK right 9x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:44:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 9x strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:44:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/9 = 9x/9 left 1 OK left 7/9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171AYrrZ session1 2007-03-08 15:44:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/9 = 9x/9 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171BOkHk session1 2007-03-22 16:53:19.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10x+4 = 5 strategic 1 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171BOkHk session1 2007-03-22 16:53:24.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10x+4-4 = 5-4 strategic 1 ERROR rf -10x+4-4 = 5-4 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171BOkHk session1 2007-03-22 16:53:32.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10x+4-4 = 5-4 strategic 2 OK clt -10x+4-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171BOkHk session1 2007-03-22 16:53:32.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10x = 5-4 strategic 1 OK clt 5-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171BOkHk session1 2007-03-22 16:53:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10x = 1 strategic 1 OK divide -10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171BOkHk session1 2007-03-22 16:53:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10x/-10 = 1/-10 strategic 1 OK rf -10x/-10 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171BOkHk session1 2007-03-22 16:53:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 x = 1/-10 strategic 1 OK rf 1/-10 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171E3Ky1 session0 2007-03-22 16:40:29.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+3 = -5 strategic 1 ERROR clt 5y+3 = -5 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:40:40.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+3 = -5 strategic 2 ERROR mt 5y+3 = -5 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:46:54.0 HINT HINT ES_02c ES_02-5 EG40 5y+3 = -5 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:46:55.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:46:58.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:47:05.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+3 = -5 strategic 4 OK subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:47:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y+3-3 = -5-3 strategic 1 OK clt 5y+3-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:47:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y = -5-3 strategic 1 OK clt -5-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:47:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y = -8 strategic 1 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:47:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5y/5 = -8/5 strategic 1 OK rf 5y/5 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:47:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = -8/5 strategic 1 BUG rf y = -8/5 strategic You already solved the equation. y is -8/5. BUG condition 3 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:47:46.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -2+(-8y) strategic 1 OK rds -3 = -2+(-8y) strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -2-8y 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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -2-8y strategic 2 OK add 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:17.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3+2 = -2-8y+2 strategic 1 OK clt -3+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:17.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -2-8y+2 strategic 1 OK clt -2-8y+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -8y strategic 1 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:29.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1/-8 = -8y/-8 strategic 1 OK rf -1/-8 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:29.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1/8 = -8y/-8 strategic 1 OK rf -8y/-8 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:41.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7+(-8x) = 5 strategic 1 OK rds 7+(-8x) = 5 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:45.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-8x = 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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-8x = 5 strategic 2 OK subtract 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:56.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7-8x-7 = 5-7 strategic 1 OK clt 7-8x-7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:50:56.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8x = 5-7 strategic 1 OK clt 5-7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:51:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8x = -2 strategic 1 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:51:04.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8x/-8 = -2/-8 strategic 1 OK rf -8x/-8 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:51:04.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = -2/-8 strategic 1 OK rf -2/-8 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:51:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+6x = -8 strategic 1 ERROR subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:51:58.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+6x = -8 strategic 2 ERROR add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:05.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+6x = -8 strategic 3 OK subtract -7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+6x-(-7) = -8-(-7) strategic 1 ERROR mt -7+6x-(-7) = -8-(-7) strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+6x-(-7) = -8-(-7) strategic 2 ERROR rf -7+6x-(-7) = -8-(-7) strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+6x-(-7) = -8-(-7) strategic 3 OK rds -7+6x-(-7) = -8-(-7) strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+6x+7 = -8+7 strategic 1 OK clt -7+6x+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6x = -8+7 strategic 1 OK clt -8+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6x = -1 strategic 1 OK divide 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6x/6 = -1/6 strategic 1 OK rf 6x/6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:36.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1y+(-7) = 9 strategic 1 OK rds -1y+(-7) = 9 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1y-7 = 9 strategic 1 BUG add -1 Put the expression in its simplest form by performing multiplication on the left side to remove '1' coefficients. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1y-7 = 9 strategic 2 OK multiply -1 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:52:57.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-1y-7)*(-1) = 9*(-1) strategic 1 ERROR rds (-1y-7)*(-1) = 9*(-1) strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:02.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-1y-7)*(-1) = 9*(-1) strategic 2 OK mt 9*(-1) condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-1y-7)*(-1) = -9 strategic 1 OK mt (-1y-7)*(-1) condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -(-y-7) = -9 strategic 1 ERROR mt -(-y-7) = -9 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:17.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -(-y-7) = -9 strategic 2 ERROR rds -(-y-7) = -9 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:22.0 HINT HINT ES_02c ES_02-5 EG40 -(-y-7) = -9 strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:23.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE In the expression -[-y-7], (-y-7) is preceded by -1. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:27.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Distribute -1 over (-y-7). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -(-y-7) = -9 strategic 4 OK distribute -(-y-7) condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1*(-y)+1*7 = -9 strategic 1 OK mt -1*(-y) condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y+1*7 = -9 strategic 1 OK mt 1*7 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:46.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y+7 = -9 strategic 1 BUG divide 7 You want to isolate y by removing 7 from the left side. 7 is added to y. What is the opposite of addition? BUG condition 3 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:51.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y+7 = -9 strategic 2 ERROR divide 1 condition 3 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:56.0 HINT HINT ES_02c ES_02-5 EG40 y+7 = -9 strategic 3 INITIAL_HINT condition 3 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:53:56.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:54:00.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:54:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y+7 = -9 strategic 4 OK subtract 7 condition 3 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:54:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y+7-7 = -9-7 strategic 1 OK clt y+7-7 condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:54:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = -9-7 strategic 1 OK clt -9-7 condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5+(-6y) = 10 strategic 1 OK rds -5+(-6y) = 10 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5-6y = 10 strategic 1 ERROR subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:29.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5-6y = 10 strategic 2 ERROR add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:35.0 HINT HINT ES_02c ES_02-5 EG40 -5-6y = 10 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:35.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:42.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5-6y = 10 strategic 4 OK subtract -5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:48.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5-6y-(-5) = 10-(-5) strategic 1 ERROR mt -5-6y-(-5) = 10-(-5) strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5-6y-(-5) = 10-(-5) strategic 2 OK clt -5-6y-(-5) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:55:58.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y = 10-(-5) strategic 1 OK clt 10-(-5) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:02.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y = 15 strategic 1 OK divide -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:05.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y/-6 = 15/-6 strategic 1 OK rf -6y/-6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:05.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = 15/-6 strategic 1 OK rf 15/-6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2 = 4x+(-7) strategic 1 OK rds 2 = 4x+(-7) strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2 = 4x-7 strategic 1 ERROR subtract 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:37.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2 = 4x-7 strategic 2 ERROR add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:43.0 HINT HINT ES_02c ES_02-5 EG40 2 = 4x-7 strategic 3 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:44.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:50.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2 = 4x-7 strategic 4 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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:56:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2 = 4x-7 strategic 5 OK subtract -7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:57:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2-(-7) = 4x-7-(-7) strategic 1 OK clt 2-(-7) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session0 2007-03-22 16:57:01.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9 = 4x-7-(-7) strategic 1 OK clt 4x-7-(-7) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:29:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9 = 4x strategic 1 OK divide 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:29:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9/4 = 4x/4 strategic 1 OK rf 4x/4 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:29:41.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9/4 = x strategic 1 BUG rf 9/4 = x strategic You already solved the equation. x is 9/4. BUG condition 3 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:17.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y+(-7) = -5 strategic 1 ERROR clt -6y+(-7) = -5 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y+(-7) = -5 strategic 2 OK rds -6y+(-7) = -5 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y-7 = -5 strategic 1 ERROR subtract -6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:35.0 HINT HINT ES_02c ES_02-5 EG40 -6y-7 = -5 strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:35.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:39.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:46.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y+(-7) = -5 strategic 3 OK rds -6y+(-7) = -5 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:49.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y-7 = -5 strategic 3 OK add 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y-7+7 = -5+7 strategic 1 OK clt -6y-7+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:30:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y = -5+7 strategic 1 OK clt -5+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:31:01.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y = 2 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 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:31:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y = 2 strategic 2 OK divide -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:31:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6y/-6 = 2/-6 strategic 1 OK rf -6y/-6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:31:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = 2/-6 strategic 1 OK rf 2/-6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:32:49.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6 = -10y+1 strategic 1 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:32:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6-1 = -10y+1-1 strategic 1 OK clt 6-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:32:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5 = -10y+1-1 strategic 1 OK clt -10y+1-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:32:58.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5 = -10y strategic 1 OK divide -10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5/-10 = -10y/-10 strategic 1 OK rf 5/-10 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:01.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1/2 = -10y/-10 strategic 1 OK rf -10y/-10 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2x+(-4) = -3 strategic 1 OK rds 2x+(-4) = -3 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2x-4 = -3 strategic 1 OK add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2x-4+4 = -3+4 strategic 1 OK clt 2x-4+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2x = -3+4 strategic 1 OK clt -3+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2x = 1 strategic 1 OK divide 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:33:40.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2x/2 = 1/2 strategic 1 OK rf 2x/2 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:34:11.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3x+4 = 5 strategic 1 OK subtract 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:34:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3x+4-4 = 5-4 strategic 1 OK clt -3x+4-4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:34:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3x = 5-4 strategic 1 OK clt 5-4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:34:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3x = 1 strategic 1 OK divide -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:34:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3x/-3 = 1/-3 strategic 1 OK rf -3x/-3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:34:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = 1/-3 strategic 1 OK rf 1/-3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:40:49.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1+(-8y) = -9 strategic 1 OK rds -1+(-8y) = -9 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:40:56.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1-8y = -9 strategic 1 BUG add -1 To remove -1 from the left side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:41:04.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1-8y = -9 strategic 2 OK add 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:41:10.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1-8y+1 = -9+1 right 1 OK right -8 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:41:15.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1-8y+1 = -8 left 1 OK left -8y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:41:26.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -8y = -8 strategic 1 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:41:31.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -8y/-8 = -8/-8 left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:41:35.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -8/-8 right 1 ERROR right 0 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:41:37.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -8/-8 right 2 OK right 1 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:50:40.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = -3+(y/-6) strategic 1 BUG rds 4 = -3+(y/-6) strategic Simplify the fraction y/-6. BUG condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:50:46.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = -3+(y/-6) strategic 2 OK rf y/-6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:50:54.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = -3+(y/-6) strategic 3 OK rf y/-6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = -3+(-y/6) strategic 1 ERROR multiply -3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = -3+(-y/6) strategic 2 ERROR divide -3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:26.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = -3+(-y/6) strategic 3 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 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:32.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = -3+(-y/6) strategic 4 OK add 3 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:37.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4+3 = -3+(-y/6)+3 strategic 1 OK clt 4+3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:38.0 CYCLE CYCLE ES_02c ES_02-7 EG41 7 = -3+(-y/6)+3 strategic 1 OK clt -3+(-y/6)+3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 7 = -y/6 strategic 1 OK multiply 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:45.0 CYCLE CYCLE ES_02c ES_02-7 EG41 7*6 = -y/6*6 strategic 1 ERROR rf 7*6 = -y/6*6 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:50.0 CYCLE CYCLE ES_02c ES_02-7 EG41 7*6 = -y/6*6 strategic 2 ERROR rds 7*6 = -y/6*6 strategic condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:55.0 CYCLE CYCLE ES_02c ES_02-7 EG41 7*6 = -y/6*6 strategic 3 OK mt 7*6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:51:55.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42 = -y/6*6 strategic 1 OK mt -y/6*6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:12.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42 = -6y/6 strategic 1 BUG divide 6 Simplify the fraction -6y/6. BUG condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:16.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42 = -6y/6 strategic 2 OK rf -6y/6 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42 = -y strategic 1 ERROR multiply 1 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42*1 = -y*1 strategic 1 OK unnec-elems 42*1=-y*1 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42 = -y strategic 2 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 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:44.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42 = -y strategic 3 OK divide -1 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:48.0 CYCLE CYCLE ES_02c ES_02-7 EG41 42/-1 = -y/-1 strategic 1 OK rf 42/-1 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:52:48.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -42 = -y/-1 strategic 1 OK rf -y/-1 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:54:37.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7 = 1+x/7 strategic 1 BUG multiply 1 To remove the you need to multiply. Erase your last step and then multiply both sides by 7. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:54:44.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7*1 = (1+x/7)*1 strategic 1 OK unnec-elems -7*1=(1+x/7)*1 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:54:52.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7 = 1+x/7 strategic 2 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:54:55.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7-1 = 1+x/7-1 strategic 1 OK clt -7-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:54:55.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8 = 1+x/7-1 strategic 1 OK clt 1+x/7-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:55:03.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8 = x/7 strategic 1 OK multiply 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:55:06.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8*7 = x/7*7 strategic 1 OK mt -8*7 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:55:06.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -56 = x/7*7 strategic 1 OK mt x/7*7 condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:55:13.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -56 = x strategic 1 BUG divide -1 You already solved the equation. x is -56. BUG condition 3 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:57:04.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2+7 = -9 strategic 1 OK subtract 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:57:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2+7-7 = -9-7 strategic 1 OK clt y/-2+7-7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:57:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2 = -9-7 strategic 1 OK clt -9-7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:57:11.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2 = -16 strategic 1 OK multiply -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:57:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2*(-2) = -16*(-2) strategic 1 OK mt y/-2*(-2) condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171E3Ky1 session1 2007-03-30 16:57:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = -16*(-2) strategic 1 OK mt -16*(-2) condition 3 goldenvalleyselfexplanation-27051 171fN40L--7--es02c
171FrTcd session0 2007-03-22 16:40:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+6x = -4 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:40:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+6x-5 = -4-5 strategic 1 OK clt 5+6x-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:40:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = -4-5 strategic 1 OK clt -4-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:40:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = -9 strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:40:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = -9/6 strategic 1 BUG rds 6x/6 = -9/6 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:41:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = -9/6 strategic 2 OK rf 6x/6 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:41:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -9/6 strategic 1 OK rf -9/6 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:41:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x+9 = 5 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:41:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x+9-9 = 5-9 strategic 1 OK clt -2x+9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:41:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x = 5-9 strategic 1 OK clt 5-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:41:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x = -4 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:42:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x/-2 = -4/-2 strategic 1 OK rf -2x/-2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:42:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -4/-2 strategic 1 OK rf -4/-2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:42:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = 5y+5 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:42:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-5 = 5y+5-5 strategic 1 OK clt 7-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:42:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 5y+5-5 strategic 1 OK clt 5y+5-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:42:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 5y strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session0 2007-03-22 16:42:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = 5y/5 strategic 1 OK rf 5y/5 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:35:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -1+(-2x) strategic 1 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:35:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+1 = -1+(-2x)+1 left 1 OK left 5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:36:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -1+(-2x)+1 right 1 OK right -2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:36:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -2x strategic 1 ERROR rds 5 = -2x strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:36:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -2x strategic 2 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:36:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/-2 = -2x/-2 left 1 BUG left 2.5 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:36:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/-2 = -2x/-2 left 2 OK left -2.5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:37:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2.5 = -2x/-2 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:37:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+(-4y) = -9 strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:37:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+(-4y)+5 = -9+5 left 1 OK left -4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:37:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y = -9+5 right 1 OK right -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:37:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y = -4 strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:38:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y/-4 = -4/-4 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:38:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = -4/-4 right 1 OK right 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:40:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -4x+5 strategic 1 BUG subtract -5 To remove 5 from the right side, you can subtract a positive from it. Erase your last step and subtract 5 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:40:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -4x+5 strategic 2 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:40:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-5 = -4x+5-5 left 1 OK left -11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:40:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -4x+5-5 right 1 OK right -4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:41:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -4x strategic 1 BUG divide -11 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:41:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -4x strategic 2 ERROR distribute -11 = -4x strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:42:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -4x strategic 3 ERROR rf -11 = -4x strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:42:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -4x strategic 4 BUG divide -11 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:42:32.0 HINT HINT ES_02 ES_02-6 EG40 -11 = -4x strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:42:34.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -4x is -4 times x. How do you undo multiplication? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:42:38.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -4. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:42:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -4x+5 strategic 3 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:42:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-5 = -4x+5-5 left 2 OK left -11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:43:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -4x+5-5 right 2 OK right -4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:43:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -4x strategic 6 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:44:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = -4x/-4 left 1 ERROR left -7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:44:31.0 HINT HINT ES_02 ES_02-6 EG40 -11/-4 = -4x/-4 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:44:34.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in -11/-4 on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:45:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = -4x/-4 left 2 OK left -11/-4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:45:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = -4x/-4 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:46:15.0 HINT HINT ES_02 ES_02-6 EG40 -11/-4 = x strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:46:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = x strategic 2 BUG rds -11/-4 = x strategic Simplify the fraction -11/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:46:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = x strategic 3 OK rf -11/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:46:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -11/-4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:46:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = x strategic 4 OK rf -11/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:47:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = x strategic 5 OK rf -11/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:47:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -11/-4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:47:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-4 = x strategic 6 OK rf -11/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:47:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 11-4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:48:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 11/4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:49:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+(-10) = 6 strategic 1 OK add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:49:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+(-10)+10 = 6+10 left 1 OK left -9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:49:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = 6+10 right 1 OK right 16 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:50:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = 16 strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:54:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = 16/-9 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:55:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 16/-9 right 1 OK right 16/-9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:55:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 16/-9 strategic 1 OK rf 16/-9 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:55:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 BUG 16/9 16/9
Check the sign of your answer. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171FrTcd session1 2007-04-10 17:55:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -16/9 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171GGmAS session1 2007-03-08 15:36:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 8y+2 strategic 1 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:37:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 8y+2 strategic 2 ERROR add y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:37:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 8y+2 strategic 3 ERROR subtract y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:37:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 8y+2 strategic 4 ERROR subtract 8y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:37:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 8y+2 strategic 5 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:37:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8/8 = (8y+2)/8 strategic 1 BUG rds 8/8 = (8y+2)/8 strategic Simplify the fraction 8/8. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:37:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8/8 = (8y+2)/8 strategic 2 OK rf 8/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:37:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = (8y+2)/8 strategic 1 OK multiply 8 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:38:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1*8 = (8y+2)/8*8 strategic 1 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:38:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1*8 = (8y+2)/8*8 strategic 2 ERROR rf 1*8 = (8y+2)/8*8 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:38:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1*8 = (8y+2)/8*8 strategic 3 ERROR rf 1*8 = (8y+2)/8*8 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:38:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1*8 = (8y+2)/8*8 strategic 4 ERROR rds 1*8 = (8y+2)/8*8 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:38:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1*8 = (8y+2)/8*8 strategic 5 OK mt 1*8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:38:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = (8y+2)/8*8 strategic 1 OK mt (8y+2)/8*8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:38:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1*8 = (8y+2)/8*8 strategic 6 OK distribute (8y+2)/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:01.0 HINT HINT ES_02 ES_02-5 EG40 1*8 = (8y/8+2/8)*8 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:05.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1*8 = (8y/8+2/8)*8 strategic 2 OK mt 1*8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:15.0 HINT HINT ES_02 ES_02-5 EG40 8 = (8y/8+2/8)*8 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:16.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = (8y/8+2/8)*8 strategic 2 OK rf 2/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:27.0 HINT HINT ES_02 ES_02-5 EG40 8 = (8y/8+1/4)*8 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:28.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = (8y/8+1/4)*8 strategic 2 OK rf 8y/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = (y+1/4)*8 strategic 1 ERROR rds 8 = (y+1/4)*8 strategic condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = (y+1/4)*8 strategic 2 ERROR mt 8 = (y+1/4)*8 strategic condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = (y+1/4)*8 strategic 3 OK distribute (y+1/4)*8 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:53.0 HINT HINT ES_02 ES_02-5 EG40 8 = y*8+1/4*8 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:54.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:39:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+1/4*8 strategic 2 OK mt 1/4*8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+8/4 strategic 1 BUG mt 8 = y*8+8/4 strategic Simplify the fraction 8/4. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+8/4 strategic 2 OK rf 8/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+8/4 strategic 3 OK rf 8/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+2 strategic 1 ERROR distribute 8 = y*8+2 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+2 strategic 2 ERROR rf 8 = y*8+2 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+2 strategic 3 ERROR mt 8 = y*8+2 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+2 strategic 4 ERROR clt 8 = y*8+2 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+2 strategic 5 BUG add 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:40:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+2 strategic 6 ERROR multiply y condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = y*8+2 strategic 7 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-2 = y*8+2-2 strategic 1 ERROR distribute 8-2 = y*8+2-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:21.0 HINT HINT ES_02 ES_02-5 EG40 8-2 = y*8+2-2 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:22.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-2 = y*8+2-2 strategic 3 OK clt 8-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = y*8+2-2 strategic 1 OK clt y*8+2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = y*8 strategic 1 ERROR mt 6 = y*8 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:41:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = y*8 strategic 2 ERROR distribute 6 = y*8 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = y*8 strategic 3 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = y*8 strategic 4 BUG multiply 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:12.0 HINT HINT ES_02 ES_02-5 EG40 6 = y*8 strategic 5 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:13.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 6 HINT_LEVEL_CHANGE y*8 is 8 times y. How do you undo multiplication? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:18.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 7 HINT_LEVEL_CHANGE What can you do to both sides to get the y by itself? HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:19.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 8 HINT_LEVEL_CHANGE y*8 is 8 times y. How do you undo multiplication? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:23.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 9 HINT_LEVEL_CHANGE Divide both sides by 8. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = y*8 strategic 6 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:33.0 HINT HINT ES_02 ES_02-5 EG40 6/8 = y*8/8 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:34.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 10 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/8 = y*8/8 strategic 2 OK rf 6/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:43:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/4 = y*8/8 strategic 1 OK rf y*8/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:44:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8+(-6x) strategic 1 ERROR clt 4 = -8+(-6x) strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:44:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8+(-6x) strategic 2 ERROR rf 4 = -8+(-6x) strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:44:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8+(-6x) strategic 3 ERROR distribute 4 = -8+(-6x) strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:44:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8+(-6x) strategic 4 OK rds 4 = -8+(-6x) strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:44:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8-6x strategic 1 ERROR clt 4 = -8-6x strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:44:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8-6x strategic 2 ERROR clt 4 = -8-6x strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:44:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8-6x strategic 3 ERROR subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:45:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8-6x strategic 4 ERROR divide 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:45:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8-6x strategic 5 BUG divide 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:45:59.0 HINT HINT ES_02 ES_02-5 EG40 4 = -8-6x strategic 6 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:00.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:03.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8-6x strategic 7 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:18.0 HINT HINT ES_02 ES_02-5 EG40 4+8 = -8-6x+8 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:19.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4+8 = -8-6x+8 strategic 2 OK clt 4+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -8-6x+8 strategic 1 OK clt -8-6x+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:31.0 HINT HINT ES_02 ES_02-5 EG40 12 = -6x strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:32.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE -6x is -6 times x. How do you undo multiplication? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:35.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -6. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -6x strategic 2 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/-6 = -6x/-6 strategic 1 BUG rds 12/-6 = -6x/-6 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/-6 = -6x/-6 strategic 2 OK rf 12/-6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session1 2007-03-08 15:46:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -6x/-6 strategic 1 OK rf -6x/-6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:36:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+(-2y) = 2 strategic 1 ERROR clt 6+(-2y) = 2 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:36:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+(-2y) = 2 strategic 2 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:36:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+(-2y)-6 = 2-6 strategic 1 OK clt 6+(-2y)-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:36:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y = 2-6 strategic 1 OK clt 2-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:36:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y = -4 strategic 1 ERROR divide 2y condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:36:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y = -4 strategic 2 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:37:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y = -4 strategic 3 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:37:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y/-2 = -4/-2 strategic 1 OK rf -2y/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:37:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -4/-2 strategic 1 OK rf -4/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:37:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+6x = 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 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:37:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+6x = 2 strategic 2 ERROR clt -3+6x = 2 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:38:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+6x = 2 strategic 3 OK subtract -3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:38:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+6x-(-3) = 2-(-3) strategic 1 OK clt -3+6x-(-3) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:38:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 2-(-3) strategic 1 OK clt 2-(-3) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:38:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 5 strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:38:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 5/6 strategic 1 BUG mt 6x/6 = 5/6 strategic Simplify the fraction 6x/6. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:38:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 5/6 strategic 2 OK rf 6x/6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:39:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -8x+10 strategic 1 OK subtract 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:39:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-10 = -8x+10-10 strategic 1 OK clt 1-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:39:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -8x+10-10 strategic 1 OK clt -8x+10-10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:39:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -8x strategic 1 BUG divide -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:39:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -8x strategic 2 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:39:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -8x strategic 3 ERROR divide 8x condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:39:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -8x strategic 4 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9/-8 = -8x/-8 strategic 1 OK rf -9/-8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9/8 = -8x/-8 strategic 1 OK rf -8x/-8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10 = -5+(-9y) strategic 1 OK subtract -5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10-(-5) = -5+(-9y)-(-5) strategic 1 OK clt -10-(-5) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -5+(-9y)-(-5) strategic 1 OK clt -5+(-9y)-(-5) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -9y strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/-9 = -9y/-9 strategic 1 OK rf -5/-9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:40:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/9 = -9y/-9 strategic 1 OK rf -9y/-9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:41:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = -4x+1 strategic 1 ERROR add -4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:41:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = -4x+1 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 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:41:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = -4x+1 strategic 3 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-1 = -4x+1-1 strategic 1 OK clt 9-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = -4x+1-1 strategic 1 OK clt -4x+1-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = -4x strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8/-4 = -4x/-4 strategic 1 BUG mt 8/-4 = -4x/-4 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8/-4 = -4x/-4 strategic 2 OK rf 8/-4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -4x/-4 strategic 1 OK rf -4x/-4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y+8 = -10 strategic 1 OK subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y+8-8 = -10-8 strategic 1 ERROR mt 3y+8-8 = -10-8 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y+8-8 = -10-8 strategic 2 OK clt 3y+8-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = -10-8 strategic 1 OK clt -10-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:42:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = -18 strategic 1 BUG divide -18 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:43:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = -18 strategic 2 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:43:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y/3 = -18/3 strategic 1 OK rf 3y/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:43:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -18/3 strategic 1 OK rf -18/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:43:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1+(-1x) = -3 strategic 1 OK subtract -1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:43:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1+(-1x)-(-1) = -3-(-1) strategic 1 OK clt -1+(-1x)-(-1) condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:43:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1x = -3-(-1) strategic 1 OK clt -3-(-1) condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:43:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1x = -2 strategic 1 OK divide -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:44:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1x/-1 = -2/-1 strategic 1 OK rf -1x/-1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:44:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -2/-1 strategic 1 OK rf -2/-1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 6y+(-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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 6y+(-6) strategic 2 OK subtract -6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-(-6) = 6y+(-6)-(-6) strategic 1 OK clt -8-(-6) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 6y+(-6)-(-6) strategic 1 OK clt 6y+(-6)-(-6) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 6y strategic 1 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 6y strategic 2 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/6 = 6y/6 strategic 1 OK rf -2/6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/3 = 6y/6 strategic 1 OK rf 6y/6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+4x = 2 strategic 1 OK subtract -2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+4x-(-2) = 2-(-2) strategic 1 OK clt -2+4x-(-2) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:45:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = 2-(-2) strategic 1 OK clt 2-(-2) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = 4 strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = 4/4 strategic 1 OK rf 4x/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 4/4 strategic 1 OK rf 4/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = -3y+2 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-2 = -3y+2-2 strategic 1 OK clt 8-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -3y+2-2 strategic 1 OK clt -3y+2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -3y strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-3 = -3y/-3 strategic 1 OK rf 6/-3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:46:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -3y/-3 strategic 1 OK rf -3y/-3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:50:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 1 ERROR subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:50:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x-3 = -3-3 left 1 ERROR left 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:50:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x-3 = -3-3 left 2 ERROR left x condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:51:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x-3 = -3-3 left 3 BUG left -3 You haven't performed any operations. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:51:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 2 ERROR add 3x condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:51:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 3 ERROR clt 6+3x = -3 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:51:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 4 ERROR add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:53:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 5 BUG subtract -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:54:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 6 ERROR subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:54:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 7 BUG add -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:54:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 8 ERROR add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:54:28.0 HINT HINT ES_02 ES_02-6 EG40 6+3x = -3 strategic 9 INITIAL_HINT condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:54:29.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:54:32.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 6 from both sides of the equation to eliminate the constant value of 6 (6 - 6 = 0). HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:54:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x = -3 strategic 10 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x-6 = -3-6 left 1 ERROR left -8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+3x-6 = -3-6 right 1 ERROR right -8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 left 1 OK left -3-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 1 BUG right -9 Just subtract 6 from -3. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 2 BUG right 3 3 is equal to -3 plus 6. You need to calculate -3 minus 6. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 3 BUG right 9 You need to calculate -3 minus 6, not 6 minus -3. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 4 BUG right -9 Just subtract 6 from -3. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 5 BUG right -3 -3 is equal to 3 minus 6. You need to calculate -3 minus 6. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:55:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 6 BUG right -3+-6 Just subtract 6 from -3. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 7 BUG right -3-6 Just subtract 6 from -3. You can simplify in the next step. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 8 BUG right 3 3 is equal to -3 plus 6. You need to calculate -3 minus 6. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:16.0 HINT HINT ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:17.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 6+3x-6 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 right 9 OK right 6+3x-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 2 ERROR rf -3-6 = 6+3x-6 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 3 ERROR mt -3-6 = 6+3x-6 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:56:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 4 BUG add -6 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 5 BUG add 6 Since 6 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 6 from both sides. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 6 BUG add -3 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 7 OK clt -3-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -3-6 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 8 OK clt 6+3x-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 BUG -3-6 -3-6
Perhaps you should fill in all the x terms above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 BUG -9 -9
Perhaps you should fill in all the x terms above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:57:58.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 3 INITIAL_HINT -9 From the original equation at the top, select 3x and drag it to the x box above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:58:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 OK 3x condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:58:15.0 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 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:58:28.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT 6 From the original equation at the top, select 6 and drag it to the constant terms box above. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:58:50.0 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 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:58:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 BUG 6 6
Perhaps you should fill in all the constant terms above. BUG condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:58:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 BUG -3-6 -3-6
Perhaps you should fill in all the constant terms above. BUG condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:59:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG 6+3x 6+3x
Perhaps you should fill in all the constant terms above. BUG condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:59:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 9 OK clt -3-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:59:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -3-6 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:59:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-6 = 6+3x-6 strategic 10 OK clt -3-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:59:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -9 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session2 2007-03-14 16:59:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 6+3x-6 strategic 1 OK clt 6+3x-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 6+3x-6 strategic 1 OK clt 6+3x-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 BUG 6 6
Perhaps you should fill in all the x terms above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 BUG -3-6 -3-6
Perhaps you should fill in all the x terms above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 BUG 9 9
Perhaps you should fill in all the x terms above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:36.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 4 INITIAL_HINT 9 From the original equation at the top, select 3x and drag it to the x box above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:38.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 5 INITIAL_HINT 9 From the original equation at the top, select 3x and drag it to the x box above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:39.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 6 INITIAL_HINT 9 From the original equation at the top, select 3x and drag it to the x box above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 7 OK 3x condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:44.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 6 and drag it to the constant terms box above. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:45.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select 6 and drag it to the constant terms box above. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:46.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT From the original equation at the top, select 6 and drag it to the constant terms box above. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:29:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 BUG 6 6
Perhaps you should fill in all the constant terms above. BUG condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:30:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 BUG -6 -6
Perhaps you should fill in all the constant terms above. BUG condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:30:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 6+3x-6 strategic 2 OK clt 6+3x-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:30:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 8 BUG 6 6
Perhaps you should fill in all the x terms above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:30:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 9 OK 3x condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:30:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 6 BUG 6 6
Perhaps you should fill in all the constant terms above. BUG condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:31:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:31:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK +3x condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 7 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 3 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 3x condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 3x strategic 1 ERROR rds -9 = 3x strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 3x strategic 2 BUG add -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 3x strategic 3 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9/3 = 3x/3 left 1 OK left -3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 3x/3 right 1 ERROR right 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:32:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 3x/3 right 2 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:33:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y) = -5 strategic 1 OK subtract -8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:33:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) left 1 ERROR left 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:33:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) left 2 ERROR left -14 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:33:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) left 3 ERROR left 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:33:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) left 4 BUG left -6 You forgot the y. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:33:53.0 HINT HINT ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:33:56.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in -8+(-6y)-(-8) on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) left 5 ERROR left -8+(6y)-8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:16.0 HINT HINT ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:17.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Type in -8+(-6y)-(-8) on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) left 6 BUG left -8+(-6y)-8 -8+[-6y]-8 is equal to -8+[-6y] plus -8. You need to calculate -8+[-6y] minus -8. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:31.0 HINT HINT ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) strategic 3 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:32.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in -8+(-6y)-(-8) on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+(-6y)-(-8) = -5-(-8) left 7 OK left -8+(-6y)-(-8) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-6y+8 = -5-(-8) right 1 BUG right -5-8 -5-8 is equal to -5 plus -8. You need to calculate -5 minus -8. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:34:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-6y+8 = -5-(-8) right 2 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-6y+8 = 3 strategic 1 OK clt -8-6y+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 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 y terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 BUG 6y 6y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6y, is not one of the constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 BUG -6y -6y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6y, is not one of the constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:27.0 HINT HINT ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 INITIAL_HINT -6y This group of entry boxes represent the constant terms. Find a constant term in the expression. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:29.0 HINT HINT ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 INITIAL_HINT -6y This group of entry boxes represent the constant terms. Find a constant term in the expression. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 BUG 6y 6y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6y, is not one of the constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:35:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:36:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:36:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 OK -6y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:36:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 ERROR 8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:36:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 ERROR -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:36:35.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 3 INITIAL_HINT -8 In the group above, you have [-6y]. Type [-6y] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:36:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 4 OK -6y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:36:56.0 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 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:37:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG -8 -8
Perhaps you should fill in all the constant terms above. BUG condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:37:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 6 OK -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:37:41.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT -8 Simplify the expression [-8]+[+8]. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:37:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:37:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -6y condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:37:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = 3 strategic 1 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = 3 strategic 2 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = 3/-6 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-6 right 1 BUG right -2 You need to calculate 3 divided by -6, not -6 divided by 3. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-6 right 2 ERROR right 2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:38.0 HINT HINT ES_02 ES_02-6 EG40 y = 3/-6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:39.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type in 3/-6 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-6 right 3 OK right 3/-6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:38:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-6 strategic 2 OK rf 3/-6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 BUG 3 3
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 ERROR 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 BUG 3 3
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:11.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 4 INITIAL_HINT 3 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:13.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 5 INITIAL_HINT 3 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 6 ERROR -2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 BUG 2/-3 2/-3
Perhaps you should fill in the common factor between the numerator and denominator of [3]/[-6]. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:36.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 INITIAL_HINT 2/-3 Before working on this answer, perhaps try working on the common factor between the numerator and denominator of [3]/[-6]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 BUG 3/-6 3/-6
Perhaps you should fill in the common factor between the numerator and denominator of [3]/[-6]. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:44.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 INITIAL_HINT 3/-6 Before working on this answer, perhaps try working on the common factor between the numerator and denominator of [3]/[-6]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:49.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT Before working on this answer, perhaps try working on the common factor between the numerator and denominator of [3]/[-6]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:50.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 INITIAL_HINT Before working on this answer, perhaps try working on the common factor between the numerator and denominator of [3]/[-6]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:51.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 INITIAL_HINT Before working on this answer, perhaps try working on the common factor between the numerator and denominator of [3]/[-6]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:53.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:39:55.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:41:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = 3 strategic 3 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:41:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = 3/-6 left 2 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:41:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-6 right 4 OK right -3/6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:42:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = -3/6 strategic 1 OK rf -3/6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:42:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 7 OK 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:42:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 5 BUG 1 1
Check the sign of your answer. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:42:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 4 OK 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:42:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 6 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:42:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -1/2 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y+9 = -1 strategic 1 BUG subtract -9 To remove 9 from the left side, you can subtract a positive from it. Erase your last step and subtract 9 from both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y+9 = -1 strategic 2 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y+9-9 = -1-9 left 1 OK left -5y+9-9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y+9-9 = -1-9 right 1 OK right -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y+9-9 = -10 strategic 1 OK clt -5y+9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 5y Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -5y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 BUG 9 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:43:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 ERROR 5 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 ERROR -5 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK -5y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK +9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -5y condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y = -10 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y/-5 = -10/-5 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = -10/-5 right 1 OK right 2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:44:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+2y = 0 strategic 1 OK subtract -3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+2y-(-3) = 0-(-3) left 1 OK left -3+2y-(-3) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+2y+3 = 0-(-3) right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+2y+3 = 3 strategic 1 OK clt -3+2y+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:45.0 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:47.0 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 OK +2y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:45:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 2y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:46:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:46:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 2y condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:46:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y = 3 strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:46:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y/2 = 3/2 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session3 2007-03-15 14:46:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/2 right 1 OK right 3/2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:47:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+(y/-2) = 7 strategic 1 OK subtract -1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:48:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+(y/-2)-(-1) = 7-(-1) strategic 1 OK clt -1+(y/-2)-(-1) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:48:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 7-(-1) strategic 1 OK clt 7-(-1) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:48:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 8 strategic 1 BUG divide -2 To remove the coefficient of y/-2, you need to divide by 1/-2 or multiply by -2. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 8 strategic 2 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 8 strategic 3 BUG rds y/-2 = 8 strategic Simplify the fraction y/-2. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 8 strategic 4 OK rf y/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2 = 8 strategic 1 ERROR mt -y/2 = 8 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2 = 8 strategic 2 ERROR distribute -y/2 = 8 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2 = 8 strategic 3 OK multiply 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2*2 = 8*2 strategic 1 OK mt -y/2*2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:49:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2y/2 = 8*2 strategic 1 OK mt 8*2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:50:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2y/2 = 16 strategic 1 OK multiply 2 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:50:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2y/2*2 = 16*2 strategic 1 OK mt -2y/2*2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:50:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4y/2 = 16*2 strategic 1 OK mt 16*2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:50:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4y/2 = 32 strategic 1 BUG divide 4 Simplify the fraction -4y/2. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:50:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4y/2 = 32 strategic 2 OK rf -4y/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:51:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2y = 32 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:51:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2y/-2 = 32/-2 strategic 1 BUG rds -2y/-2 = 32/-2 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:51:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2y/-2 = 32/-2 strategic 2 BUG mt -2y/-2 = 32/-2 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:51:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2y/-2 = 32/-2 strategic 3 OK rf -2y/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:51:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 32/-2 strategic 1 OK rf 32/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7+(-9) = -4 strategic 1 ERROR subtract x/7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7+(-9) = -4 strategic 2 OK subtract -9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7+(-9)-(-9) = -4-(-9) strategic 1 OK clt x/7+(-9)-(-9) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = -4-(-9) strategic 1 OK clt -4-(-9) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = 5 strategic 1 BUG divide 7 To remove the coefficient of x/7, you need to divide by 1/7 or multiply by 7. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = 5 strategic 2 OK multiply 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7*7 = 5*7 strategic 1 OK mt x/7*7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:52:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 5*7 strategic 1 OK mt 5*7 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:53:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = x/-3+3 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:53:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9-3 = x/-3+3-3 strategic 1 OK clt -9-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:53:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12 = x/-3+3-3 strategic 1 OK clt x/-3+3-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:53:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12 = x/-3 strategic 1 OK multiply -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:53:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*(-3) = x/-3*(-3) strategic 1 OK rf x/-3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:53:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*(-3) = -x/3*(-3) strategic 1 OK mt -12*(-3) condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:53:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 36 = -x/3*(-3) strategic 1 OK mt -x/3*(-3) condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:54:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -5+(x/-8) strategic 1 OK subtract -5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:54:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-(-5) = -5+(x/-8)-(-5) strategic 1 OK clt 9-(-5) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:54:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14 = -5+(x/-8)-(-5) strategic 1 OK clt -5+(x/-8)-(-5) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:54:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14 = x/-8 strategic 1 OK multiply -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:54:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14*(-8) = x/-8*(-8) strategic 1 OK mt 14*(-8) condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:54:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -112 = x/-8*(-8) strategic 1 OK mt x/-8*(-8) condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:55:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = 9+y/2 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:55:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 left 1 OK left -9-9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:55:57.0 HINT HINT ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:55:58.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in 9+y/2-9 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 right 1 ERROR right y+9/2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:09.0 HINT HINT ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:10.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type in 9+y/2-9 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 right 2 ERROR right y+9/2-9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 right 3 OK right 9+y/2-9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 3 ERROR mt -9-9 = 9+y/2-9 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 4 ERROR mt -9-9 = 9+y/2-9 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 5 ERROR rds -9-9 = 9+y/2-9 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 6 ERROR rds -9-9 = 9+y/2-9 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:56:58.0 HINT HINT ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 7 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 8 ERROR rf -9-9 = 9+y/2-9 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 9 ERROR distribute -9-9 = 9+y/2-9 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:17.0 HINT HINT ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 10 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:18.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = 9+y/2-9 strategic 11 OK clt -9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -18 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = 9+y/2-9 strategic 1 OK clt 9+y/2-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y1R1 strategic 1 OK +y/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 yR2 strategic 1 ERROR y condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 yR2 strategic 2 OK y/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:57:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK y/2 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = y/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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = y/2 strategic 2 OK multiply 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*2 = y/2*2 left 1 BUG left 36 You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*2 = y/2*2 left 2 ERROR left 46 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*2 = y/2*2 left 3 ERROR left 56 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*2 = y/2*2 left 4 BUG left 18*2 You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:35.0 HINT HINT ES_02 ES_02-8 EG41 -18*2 = y/2*2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:39.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Type in -18*2 on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*2 = y/2*2 left 5 OK left -36 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -36 = y/2*2 right 1 BUG right y/2 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -36 = y/2*2 right 2 ERROR right 2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:58:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -36 = y/2*2 right 3 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/4 = -4 strategic 1 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/4-7 = -4-7 left 1 OK left 7+x/4-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/4-7 = -4-7 right 1 ERROR right -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/4-7 = -4-7 right 2 OK right -11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/4-7 = -11 strategic 1 OK clt 7+x/4-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK +x/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/4 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = -11 strategic 1 OK multiply 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 15:59:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -11*4 left 1 ERROR left 16 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:00:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -11*4 left 2 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:00:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = -11*4 right 1 OK right -44 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:00:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+x/5 = 0 strategic 1 OK subtract -3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+x/5-(-3) = 0-(-3) left 1 OK left -3+X/5-(-3) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+x/5+3 = 0-(-3) right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+x/5+3 = 3 strategic 1 OK clt -3+x/5+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK +x/5 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK -3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK X/5 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK X/5 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/5 = 3 strategic 1 ERROR mt X/5 = 3 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/5 = 3 strategic 2 OK multiply 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/5*5 = 3*5 left 1 OK left X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X = 3*5 right 1 OK right 15 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:01:55.0 HINT HINT ES_02 ES_02-8 EG41 X = 15 strategic 1 INITIAL_HINT condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 1+(x/-8) 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 1+(x/-8) strategic 2 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-1 = 1+(x/-8)-1 left 1 OK left 2-1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-1 = 1+(x/-8)-1 right 1 OK right 1+(X/-8)-1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-1 = 1-x/8-1 strategic 1 OK clt 2-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = 1-x/8-1 strategic 1 OK clt 1-x/8-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:02:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG 1 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 BUG 1 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG x/8 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 BUG x/8 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 3 BUG x/8 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 4 OK -x/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 3 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK -X/8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -X/8 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -X/8 strategic 1 OK multiply 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*8 = -X/8*8 left 1 OK left 8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -X/8*8 right 1 BUG right X You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -X/8*8 right 2 OK right -x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -x strategic 1 ERROR rf 8 = -x strategic condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:03:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -x strategic 2 ERROR rds 8 = -x strategic condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:04:03.0 HINT HINT ES_02 ES_02-8 EG41 8 = -x strategic 3 INITIAL_HINT condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:04:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -x strategic 4 OK multiply -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:04:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*(-1) = -x*(-1) left 1 OK left -8 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:04:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = -x*(-1) right 1 OK right x condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:04:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-6) = -8 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:04:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-6)-4 = -8-4 left 1 OK left 4+(y/-6)-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:04:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-y/6-4 = -8-4 right 1 BUG right 4 4 is equal to 8 minus 4. You need to calculate -8 minus 4. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-y/6-4 = -8-4 right 2 OK right -12 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-y/6-4 = -12 strategic 1 OK clt 4-y/6-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y1R1 strategic 1 BUG y/6 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y1R1 strategic 2 OK -y/6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG 4 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 BUG 4 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 3 OK 4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 yR2 strategic 1 OK -y/6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/6 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6 = -12 strategic 1 OK multiply 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6*6 = -12*6 left 1 BUG left y You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6*6 = -12*6 left 2 ERROR left 36 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6*6 = -12*6 left 3 OK left -y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:05:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -12*6 right 1 ERROR right 36 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -12*6 right 2 ERROR right -36 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -12*6 right 3 OK right -72 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -72 strategic 1 BUG divide -72 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -72 strategic 2 OK multiply -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y*(-1) = -72*(-1) left 1 OK left y condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -72*(-1) right 1 OK right 72 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -1+(x/-9) strategic 1 OK subtract -1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:06:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4-(-1) = -1+(x/-9)-(-1) left 1 OK left -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = -1+(x/-9)-(-1) right 1 OK right -1+(x/-9)-(-1) condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = -1-x/9+1 strategic 1 OK clt -1-x/9+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK -x/9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG 1 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 3 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 constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK -x/9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -x/9 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = -x/9 strategic 1 OK multiply 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*9 = -x/9*9 left 1 OK left -27 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = -x/9*9 right 1 ERROR right -81 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:07:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = -x/9*9 right 2 OK right -x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:08:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = -x strategic 1 OK multiply -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:08:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27*(-1) = -x*(-1) left 1 BUG left -27 You are multiplying a negative by a negative. The result should be positive. BUG condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:08:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27*(-1) = -x*(-1) left 2 OK left 27 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GGmAS session4 2007-03-16 16:08:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 27 = -x*(-1) right 1 OK right x condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171RGE86--6--es02
171GbOxs session0 2007-03-06 17:51:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = 5+2y strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:51:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-5 = 5+2y-5 strategic 1 OK clt 6-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:51:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 5+2y-5 strategic 1 OK clt 5+2y-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:51:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 2y strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:51:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/2 = 2y/2 strategic 1 BUG distribute 1/2 = 2y/2 strategic Simplify the fraction 2y/2. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:52:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/2 = 2y/2 strategic 2 BUG rds 1/2 = 2y/2 strategic Simplify the fraction 2y/2. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:52:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/2 = 2y/2 strategic 3 OK rf 2y/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:56:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 9y+9 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:56:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = 9y+9-9 left 1 BUG left 17 You need to calculate -8 minus 9, not 9 minus -8. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:56:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = 9y+9-9 right 1 OK right 9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:56:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = 9y left 1 BUG left 1 1 is equal to -8 plus 9. You need to calculate -8 minus 9. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:56:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = 9y left 2 ERROR left 18 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:57:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = 9y left 3 BUG left 17 You need to calculate -8 minus 9, not 9 minus -8. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:57:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = 9y left 4 OK left -8-9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session0 2007-03-06 17:57:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = 9y strategic 1 OK clt -8-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:32:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:32:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:33:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 17 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:33:19.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT 17 Simplify the expression [-8]+[-9]. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:33:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -17 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:33:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17 = 9y strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:33:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17/9 = 9y/9 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:33:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17/9 = y left 1 OK left -17/9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:34:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17/9 = y strategic 1 BUG rf -17/9 = y strategic You already solved the equation. y is -17/9. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:34:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+(-3) = -2 strategic 1 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:35:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+(-3) = -2 strategic 2 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:35:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+(-3)+3 = -2+3 left 1 OK left 9x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:35:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -2+3 right 1 OK right -2+3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:35:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -2+3 strategic 1 OK clt -2+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:35:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:35:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = 1 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:35:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = 1/9 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:36:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1/9 right 1 BUG right 9 9 is equal to 1 times 9. You need to calculate 1 divided by 9. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:36:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1/9 right 2 BUG right 1 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:36:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1/9 right 3 OK right 1/9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:36:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9+(-2x) = 3 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:36:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9+(-2x)-9 = 3-9 left 1 OK left -2x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x = 3-9 right 1 OK right 3-9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x = 3-9 strategic 1 OK clt 3-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 6 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -6 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x = -6 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = -6/-2 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -6/-2 right 1 BUG right -2/-6 You need to calculate -6 divided by -2, not -2 divided by -6. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:37:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -6/-2 right 2 ERROR right -4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:38:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -6/-2 right 3 ERROR right 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:38:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -6/-2 right 4 BUG right -3 You are dividing a negative by a negative. The result should be positive. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:38:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -6/-2 right 5 OK right 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:48:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/2 = -8 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:48:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/2-2 = -8-2 strategic 1 OK clt 2+y/2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:48:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = -8-2 strategic 1 OK clt -8-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:49:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = -10 strategic 1 BUG divide 2 To remove the coefficient of y/2, you need to divide by 1/2 or multiply by 2. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:49:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = -10 strategic 2 OK multiply 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:49:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2*2 = -10*2 strategic 1 OK mt y/2*2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:49:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -10*2 strategic 1 OK mt -10*2 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:50:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9+y/3 = -5 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:50:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9+y/3+9 = -5+9 strategic 1 OK clt -9+y/3+9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:50:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/3 = -5+9 strategic 1 OK clt -5+9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:50:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/3 = 4 strategic 1 OK multiply 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:50:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/3*3 = 4*3 strategic 1 OK mt y/3*3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:50:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 4*3 strategic 1 OK mt 4*3 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:50:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = y/-6+(-8) 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:51:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = y/-6+(-8) strategic 2 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:51:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+8 = y/-6+(-8)+8 strategic 1 OK clt 5+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:51:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 13 = y/-6+(-8)+8 strategic 1 OK clt y/-6+(-8)+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:51:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 13 = y/-6 strategic 1 OK multiply -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:51:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 13*(-6) = y/-6*(-6) strategic 1 OK mt 13*(-6) condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:51:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -78 = y/-6*(-6) strategic 1 OK mt y/-6*(-6) condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:56:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7+9 = 3 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:57:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7+9-9 = 3-9 left 1 OK left x/-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:57:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7 = 3-9 right 1 OK right 3-9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:57:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7 = 3-9 strategic 1 OK clt 3-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:57:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7 = 3-9 strategic 2 OK multiply -7 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:57:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7*(-7) = (3-9)*(-7) left 1 OK left x condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:57:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 1 ERROR right 35 condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:57:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 2 ERROR right -35 condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:58:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 3 ERROR right 420 condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:58:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 4 BUG right 42 Just multiply 3-9 by -7. You can simplify in the next step. BUG condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:58:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 5 BUG right -42 You are multiplying a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:58:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 6 ERROR right 3-9*7 condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session1 2007-03-08 17:59:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 7 BUG right (3-9)*7 You are multiplying a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:37:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 1 BUG right 42 Just multiply 3-9 by -7. You can simplify in the next step. BUG condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:38:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) right 2 OK right (3-9)*(-7) condition 1 [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:38:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) strategic 1 BUG unnec-elems x=(3-9)*(-7) Operations inside parentheses should be performed first when possible. You need to add/subtract like terms on the right side. BUG condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:38:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) strategic 2 ERROR mt x = (3-9)*(-7) strategic condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:39:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = (3-9)*(-7) strategic 3 OK clt (3-9) condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:39:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR 6 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:39:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -6 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:39:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = -6*(-7) strategic 1 OK mt -6*(-7) condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session2 2007-03-15 16:39:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 42 condition 1 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:32:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = 1+x/3 strategic 1 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:32:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = 1+x/3-1 left 1 OK left 5-1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:32:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = 1+x/3-1 right 1 ERROR right 1*x/3-1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:32:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = 1+x/3-1 right 2 OK right 1+x/3-1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = 1+x/3-1 strategic 1 OK clt 5-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 4 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = 1+x/3-1 strategic 1 OK clt 1+x/3-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK +x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:33.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 1 INITIAL_HINT In the group above, you have [+x/3]. Type [+x/3] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 2 OK x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:33:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 1-1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK x/3+1-1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:18.0 HINT HINT ES_02 ES_02-8 EG41 4 = x/3+1-1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:19.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/3+1-1 strategic 2 OK clt x/3+1-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 OK x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 3 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 3 OK +1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 3 OK x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:34:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 OK -1+1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK x/3+-1+1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:15.0 HINT HINT ES_02 ES_02-8 EG41 4 = x/3-1+1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:16.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/3-1+1 strategic 2 OK clt x/3-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:23.0 HINT HINT ES_02 ES_02-8 EG41 x1R1 strategic 3 INITIAL_HINT This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:25.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE For example, drag x/3 here. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 4 OK x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:32.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 4 INITIAL_HINT In the group above, you have [x/3]. Type [x/3] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 5 OK x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:45.0 HINT HINT ES_02 ES_02-8 EG41 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 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:35:58.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE From the original equation at the top, select -1 and drag it to the constant terms box above. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:36:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/3-1+1 strategic 3 OK clt x/3-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:36:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 5 OK x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:36:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 6 OK x/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:36:16.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 4 INITIAL_HINT From the original equation at the top, select -1 and drag it to the constant terms box above. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:36:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 4 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:36:41.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 5 INITIAL_HINT From the original equation at the top, select 1 and drag it to the constant terms box above. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:36:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 4 OK +1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:37:00.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 6 INITIAL_HINT Simplify the expression [-1]+[+1]. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:37:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 7 OK -1+1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:37:09.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:37:13.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE Adding [-1]+[+1] yields 0. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:37:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR x/3=0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:37:38.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT x/3=0 Above, you have [x/3]+[-1+1]. Enter x/3 as your result. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:37:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK x/3 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:05.0 HINT HINT ES_02 ES_02-8 EG41 4 = x/3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:07.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE In x/3, x is divided by 3. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:10.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE Multiply both sides by 3. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/3 strategic 2 OK multiply 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*3 = x/3*3 left 1 OK left 4*3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*3 = x/3*3 right 1 OK right x/3*3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*3 = x/3*3 strategic 1 OK mt 4*3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 12 condition 1 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12 = x/3*3 strategic 1 OK mt x/3*3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:44.0 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:46.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 9 HINT_LEVEL_CHANGE What is x times 3? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:51.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 10 HINT_LEVEL_CHANGE Type x*3. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:38:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK x*3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 3*1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:09.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 8 INITIAL_HINT Simplify the above fraction. HINT 1 condition 1 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:10.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 11 HINT_LEVEL_CHANGE Type x*3/3. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK x*3/3 condition 1 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12 = x*3/3 strategic 1 OK rf x*3/3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-x strategic 1 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR 1/[3] condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1/[3] condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-x strategic 1 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:39:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:40:00.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 10 INITIAL_HINT In the above expression you have x*3/3. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:40:03.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 12 HINT_LEVEL_CHANGE To simplify, divide 3 into x*3. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:40:06.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 13 HINT_LEVEL_CHANGE Type x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:40:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:42:11.0 HINT HINT ES_02 ES_02-9 EG44 -8/x = 9 strategic 1 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:42:12.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -8/x is -8 divided by x. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:42:15.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:42:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x = 9 strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:42:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x*x = 9x strategic 1 OK mt -8/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:42:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 9x strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:42:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/9 = 9x/9 strategic 1 OK rf 9x/9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:43:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/x = -7 strategic 1 BUG multiply -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:43:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/x = -7 strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:43:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/x*x = -7x strategic 1 OK mt -4/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:43:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -7x strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:43:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/-7 = -7x/-7 strategic 1 OK rf -4/-7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:43:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/7 = -7x/-7 strategic 1 OK rf -7x/-7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = 2 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x*x = 2x strategic 1 OK mt -9/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 2x strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/2 = 2x/2 strategic 1 OK rf 2x/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -2 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = -2x strategic 1 OK mt 8/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -2x strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-2 = -2x/-2 strategic 1 OK rf 8/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:44:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -2x/-2 strategic 1 OK rf -2x/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:45:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/x = -9 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:45:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/x*x = -9x strategic 1 OK mt -7/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:45:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -9x strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:45:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/-9 = -9x/-9 strategic 1 OK rf -7/-9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:45:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/9 = -9x/-9 strategic 1 OK rf -9x/-9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6 = -7/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = -7/x*x left 1 OK left -6x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = -7/x*x right 1 OK right -7/x*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = -7/x*x strategic 1 OK mt -7/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR 7x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:47.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 INITIAL_HINT 7 You need to multiply the numerators together. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:48.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE What is -7 times x? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:47:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 OK -7*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:01.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Type -7x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR -x*1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG . .
Perhaps you should fill in the denominator above first. BUG condition 1 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK x*1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:28.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT . Simplify the above fraction. HINT 1 condition 1 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:29.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type -7x/x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -7x/x condition 1 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:52.0 HINT HINT ES_02 ES_02-10 EG44 -6x = -7x/x strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:52.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:48:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = -7x/x strategic 2 OK rf -7x/x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-x strategic 1 ERROR 1/[x] condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-x strategic 2 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-x strategic 1 OK 1/[x] condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 ERROR -7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2x strategic 1 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-x strategic 1 ERROR x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:41.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT x 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:42.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK -7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:55.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT In the above expression you have -7x/x. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:49:56.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE To simplify, divide x into -7x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:00.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 7 HINT_LEVEL_CHANGE Type -7. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK -7 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = -7 strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x/-6 = -7/-6 left 1 OK left -6x/-6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x/-6 = -7/-6 right 1 OK right -7/-6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x/-6 = -7/-6 strategic 1 OK rf -6x/-6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1/[-6] condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-x strategic 3 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 BUG 6 6
Check the sign of your answer. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 5 OK -6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 ERROR -6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 6 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:50:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-x strategic 3 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-x strategic 4 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:08.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT In the above expression you have -6x/-6. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:09.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 8 HINT_LEVEL_CHANGE To simplify, divide -6 into -6x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:13.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 9 HINT_LEVEL_CHANGE Type x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -7/-6 strategic 1 OK rf -7/-6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG -7/6 -7/6
Check the sign of your answer. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 OK 7/6 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:51:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x = 7 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = 7x left 1 OK left -8/x*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = 7x right 1 ERROR right 37x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = 7x right 2 OK right 7x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = 7x strategic 1 OK mt -8/x*x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -8x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x*1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:35.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 condition 1 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:37.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Type -8x/x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -8x/x condition 1 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/x = 7x strategic 1 OK rf -8x/x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-x strategic 1 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-x strategic 1 OK 1/[x] condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:52:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 ERROR 8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2x strategic 1 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2x strategic 2 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-x strategic 1 ERROR x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:32.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT In the above expression you have -8x/x. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:33.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide x into -8x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:36.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type -8. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = 7x strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/7 = 7x/7 left 1 OK left -8/7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/7 = 7x/7 right 1 OK right 7x/7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:53:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/7 = 7x/7 strategic 1 OK rf 7x/7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-x strategic 2 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1/[7] condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2x strategic 3 ERROR x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2x strategic 4 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-x strategic 3 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:25.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT In the above expression you have 7x/7. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:27.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE To simplify, divide 7 into 7x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:31.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Type x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--7--es02
171GbOxs session3 2007-03-16 16:54:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02
171HyaCo session0 2007-02-21 17:42:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+6y = -2 strategic 1 OK add -1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:43:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+6y+(-1) = -2+(-1) strategic 1 OK clt 1+6y+(-1) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:43:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = -2+(-1) strategic 1 OK clt -2+(-1) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:43:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = -3 strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:43:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y/6 = -3/6 strategic 1 OK rf 6y/6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:43:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -3/6 strategic 1 OK rf -3/6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:45:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+(-8y) = 1 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 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:45:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+(-8y) = 1 strategic 2 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+(-8y)+6 = 1+6 left 1 OK left -8y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y = 1+6 right 1 OK right 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y = 7 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 7/-8 left 1 OK left -8y/-8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 7/-8 right 1 BUG right 7/8 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 7/-8 right 2 OK right 7/-8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 7/-8 strategic 1 OK rf -8y/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 1/[-8] condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:46:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK -8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 1 BUG y y
Perhaps you should fill in the denominator of the y factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 1 OK y condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 8y condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -8y condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 1y condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 1 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:47:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 7/-8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:48:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 2 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:48:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 3 BUG rds y = 7/-8 strategic Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:48:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 4 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:48:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK 7/-8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:48:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 5 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:48:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 6 BUG divide 7 Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 7 BUG distribute y = 7/-8 strategic Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 8 BUG divide -8 Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 9 BUG rds y = 7/-8 strategic Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 10 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 7/-8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 11 BUG divide 7 Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 12 BUG rds y = 7/-8 strategic Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 13 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 7/-8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:49:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 14 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:50:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK 7/-8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:50:08.0 HINT HINT ES_02 ES_02-6 EG40 y = 7/-8 strategic 15 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:50:12.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:50:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 16 BUG rds y = 7/-8 strategic Simplify the fraction 7/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:50:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 7/-8 strategic 17 OK rf 7/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:50:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 BUG 7/8 7/8
Check the sign of your answer. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:50:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK -7/8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 2+(y/-9) strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-2 = 2+(y/-9)-2 strategic 1 BUG subtract -5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-2 = 2+(y/-9)-2 strategic 2 BUG distribute -3-2 = 2+(y/-9)-2 strategic Simplify the fraction y/-9. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-2 = 2+(y/-9)-2 strategic 3 BUG rds -3-2 = 2+(y/-9)-2 strategic Simplify the fraction y/-9. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-2 = 2+(y/-9)-2 strategic 4 OK clt -3-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = 2+(y/-9)-2 strategic 1 OK clt 2+(y/-9)-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = y/-9 strategic 1 OK rf y/-9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:52:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = -y/9 strategic 1 ERROR rf -5 = -y/9 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:53:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = -y/9 strategic 2 OK multiply 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:53:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*9 = -y/9*9 strategic 1 OK mt -5*9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:53:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y/9*9 strategic 1 OK mt -y/9*9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:53:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -9y/9 strategic 1 OK rf -9y/9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:53:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 1 BUG divide -45 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:53:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 2 ERROR divide y condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:53:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 3 ERROR rds -45 = -y strategic condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:54:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 4 ERROR distribute -45 = -y strategic condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:54:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 5 ERROR clt -45 = -y strategic condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:54:17.0 HINT HINT ES_02 ES_02-7 EG41 -45 = -y strategic 6 INITIAL_HINT condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:54:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 7 ERROR add 45 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:54:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 8 ERROR subtract 45 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:54:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 9 BUG add -45 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:54:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 10 BUG subtract -45 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 11 ERROR add 45 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 12 ERROR clt -45 = -y strategic condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:22.0 HINT HINT ES_02 ES_02-7 EG41 -45 = -y strategic 13 INITIAL_HINT condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:23.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:27.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 14 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 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = -y strategic 15 OK divide -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45/-1 = -y/-1 strategic 1 OK rf -45/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:55:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y/-1 strategic 1 OK rf -y/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:56:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/4+5 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:56:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8-5 = x/4+5-5 strategic 1 OK clt 8-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:56:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = x/4+5-5 strategic 1 OK clt x/4+5-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:56:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = x/4 strategic 1 OK multiply 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:56:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*4 = x/4*4 strategic 1 OK mt 3*4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session0 2007-02-21 17:56:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = x/4*4 strategic 1 OK mt x/4*4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:25:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-8) = -1 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:25:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-8)-2 = -1-2 left 1 OK left y/-8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8 = -1-2 right 1 OK right -3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8 = -3 strategic 1 OK multiply -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8*(-8) = -3*(-8) left 1 ERROR left -8y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8*(-8) = -3*(-8) left 2 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -3*(-8) right 1 OK right 24 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = y/5+9 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-9 = y/5+9-9 left 1 OK left -18 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = y/5+9-9 right 1 ERROR right 0 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:26:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = y/5+9-9 right 2 OK right y/5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = y/5 strategic 1 OK multiply 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*5 = y/5*5 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*5 = y left 1 BUG left 90 You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18*5 = y left 2 OK left -90 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/3+6 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0-6 = y/3+6-6 left 1 OK left -6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = y/3+6-6 right 1 OK right y/3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = y/3 strategic 1 OK multiply 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*3 = y/3*3 left 1 OK left -18 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:27:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = y/3*3 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:28:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 1 BUG multiply 3 To remove 3/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 3/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 2 ERROR mt 3/x = -1 strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 3 BUG multiply 3 To remove 3/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 3/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 4 ERROR multiply 3/x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 5 ERROR multiply x/3 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 6 ERROR multiply 3/x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:50.0 HINT HINT ES_02 ES_02-9 EG44 3/x = -1 strategic 7 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:53.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 3/x is 3 divided by x. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:29:58.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 8 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x*x = -1x strategic 1 OK mt 3/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = -1x strategic 1 OK mt -1x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:16.0 HINT HINT ES_02 ES_02-9 EG44 3 = -x strategic 1 INITIAL_HINT condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = -x strategic 2 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = -x strategic 3 OK add x condition 1 [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3+x = -x+x strategic 1 OK clt -x+x condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3+x = 0 strategic 1 OK subtract 3 condition 1 [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}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3+x-3 = 0-3 strategic 1 OK clt 3+x-3 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:30:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 0-3 strategic 1 OK clt 0-3 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = 9/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4x = 9/x*x strategic 1 OK mt 9/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4x = 9 strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4x/4 = 9/4 strategic 1 OK rf 4x/4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x = 7 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x*x = 7x strategic 1 OK mt 9/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 7x strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:31:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/7 = 7x/7 strategic 1 OK rf 7x/7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:33:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9/x = -7 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:33:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9/x*x = -7x left 1 ERROR left 9x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:33:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9/x*x = -7x left 2 OK left 9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:33:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -7x right 1 OK right -7x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:33:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -7x strategic 1 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:33:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -7x strategic 2 ERROR divide x condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:33:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -7x strategic 3 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:34:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9/-7 = -7x/-7 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:34:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9/-7 = x left 1 OK left -1.285714 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y = -5 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -5y left 1 ERROR left -8y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -5y left 2 OK left -8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -5y right 1 OK right -5y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -5y strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-5 = -5y/-5 left 1 OK left 1.6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1.6 = -5y/-5 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:35:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 4/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:36:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 4/x*x left 1 OK left 7x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:36:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 4/x*x right 1 OK right 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:36:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 4 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:36:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/7 = 7x/7 left 1 OK left 0.571428571 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:36:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 0.57142857 = 7x/7 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:36:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/y = -7 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/y*y = -7y left 1 OK left -6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6 = -7y right 1 OK right -7y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6 = -7y strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/-7 = -7y/-7 left 1 OK left 0.85714285 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 0.85714286 = -7y/-7 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1 = -2/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x = -2/x*x left 1 OK left -1x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x = -2/x*x right 1 OK right -2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x = -2 strategic 1 OK divide -1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x/-1 = -2/-1 left 1 OK left x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171HyaCo session1 2007-02-22 15:37:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -2/-1 right 1 OK right 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
171J2Zhn session0 2007-03-16 16:51:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -1x+(-4) strategic 1 BUG subtract 3 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:51:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -1x+(-4) strategic 2 BUG multiply 3 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:51:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -1x+(-4) strategic 3 BUG add 3 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:51:41.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -1x+(-4) strategic 4 BUG multiply -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:51:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -1x+(-4) strategic 5 BUG divide 4 You want to isolate -1x by removing -4 from the right side. 4 is subtracted from -1x. What is the opposite of subtraction? BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:53:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -1x+(-4) strategic 6 OK mt -1x condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:53:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -x+(-4) strategic 1 ERROR multiply 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:54:24.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -x+(-4) strategic 2 ERROR subtract 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:54:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -x+(-4) strategic 3 ERROR add 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:54:48.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -x+(-4) strategic 4 OK add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:55:04.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3+4 = -x+(-4)+4 strategic 1 OK clt -3+4 condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:55:04.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = -x+(-4)+4 strategic 1 OK clt -x+(-4)+4 condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:55:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = -x strategic 1 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:55:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1 = -x strategic 2 OK divide -1 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:55:42.0 CYCLE CYCLE ES_02c ES_02-5 EG40 1/-1 = -x/-1 strategic 1 OK rf 1/-1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:55:42.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -x/-1 strategic 1 OK rf -x/-1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:56:01.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2 = -2+(-4x) strategic 1 OK rds 2 = -2+(-4x) strategic condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:56:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2 = -2-4x strategic 1 OK add 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:56:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2+2 = -2-4x+2 strategic 1 OK clt 2+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:56:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4 = -2-4x+2 strategic 1 OK clt -2-4x+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:56:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4 = -4x strategic 1 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:56:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4/-4 = -4x/-4 strategic 1 OK rf 4/-4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:56:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -1 = -4x/-4 strategic 1 OK rf -4x/-4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:57:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4x+(-7) = -2 strategic 1 OK rds 4x+(-7) = -2 strategic condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:57:16.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4x-7 = -2 strategic 1 OK add 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:57:20.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4x-7+7 = -2+7 strategic 1 ERROR rds 4x-7+7 = -2+7 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:57:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4x-7+7 = -2+7 strategic 2 OK clt 4x-7+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:57:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4x = -2+7 strategic 1 OK clt -2+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:57:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4x = 5 strategic 1 OK divide 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171J2Zhn session0 2007-03-16 16:57:37.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4x/4 = 5/4 strategic 1 OK rf 4x/4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171N6L94 session0 2007-02-15 17:29:11.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y+(-6) = -2 strategic 1 ERROR mt 9y+(-6) = -2 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:29:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y+(-6) = -2 strategic 2 ERROR distribute 9y+(-6) = -2 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:29:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y+(-6) = -2 strategic 3 OK rds 9y+(-6) = -2 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:29:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 1 ERROR rds 9y-6 = -2 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:29:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 2 ERROR mt 9y-6 = -2 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:29:38.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 3 ERROR distribute 9y-6 = -2 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:29:41.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 4 ERROR mt 9y-6 = -2 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:29:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 5 ERROR clt 9y-6 = -2 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:30:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 6 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:30:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 7 ERROR subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:31:03.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6 = -2 strategic 8 OK add 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:31:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y-6+6 = -2+6 strategic 1 OK clt 9y-6+6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:31:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y = -2+6 strategic 1 OK clt -2+6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:31:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y = 4 strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:31:31.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y/9 = 4/9 strategic 1 BUG rds 9y/9 = 4/9 strategic Simplify the fraction 9y/9. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:31:36.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y/9 = 4/9 strategic 2 OK rf 9y/9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:33:16.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x+(-2) = 7 strategic 1 ERROR distribute 4x+(-2) = 7 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:33:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x+(-2) = 7 strategic 2 ERROR clt 4x+(-2) = 7 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:33:28.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x+(-2) = 7 strategic 3 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:33:32.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x+(-2)+2 = 7+2 strategic 1 OK clt 4x+(-2)+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:33:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x = 7+2 strategic 1 OK clt 7+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:33:37.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x = 9 strategic 1 OK divide 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:33:39.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x/4 = 9/4 strategic 1 OK rf 4x/4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:34:03.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6 = 8+7y strategic 1 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:34:07.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6-8 = 8+7y-8 strategic 1 OK clt -6-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:34:07.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 8+7y-8 strategic 1 OK clt 8+7y-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:34:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 7y strategic 1 ERROR divide 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:34:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 7y strategic 2 OK divide 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:37:28.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14/7 = 7y/7 strategic 1 OK rf -14/7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:37:28.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -2 = 7y/7 strategic 1 OK rf 7y/7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:38:00.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+(-2y) = -6 strategic 1 BUG add 2 Since 2 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 2 from both sides. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:38:34.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+(-2y) = -6 strategic 2 BUG add 2 Since 2 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 2 from both sides. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:38:48.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+(-2y) = -6 strategic 3 OK subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:38:54.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+(-2y)-2 = -6-2 strategic 1 OK clt 2+(-2y)-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:38:54.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -2y = -6-2 strategic 1 OK clt -6-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:38:59.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -2y = -8 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 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:39:10.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -2y = -8 strategic 2 OK divide -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:39:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -2y/-2 = -8/-2 strategic 1 OK rf -2y/-2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:39:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 y = -8/-2 strategic 1 OK rf -8/-2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:39:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9 = -3+(-8y) strategic 1 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:41:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9+3 = -3+(-8y)+3 strategic 1 OK clt 9+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:41:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 12 = -3+(-8y)+3 strategic 1 OK clt -3+(-8y)+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:41:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 12 = -8y strategic 1 OK divide -8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:41:21.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 12/-8 = -8y/-8 strategic 1 OK rf 12/-8 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:41:21.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3/2 = -8y/-8 strategic 1 OK rf -8y/-8 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:42:47.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 5 = -7+(-4x) strategic 1 OK add 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:42:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 5+7 = -7+(-4x)+7 strategic 1 OK clt 5+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:42:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 12 = -7+(-4x)+7 strategic 1 OK clt -7+(-4x)+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:42:58.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 12 = -4x strategic 1 OK divide -4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:43:04.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 12/-4 = -4x/-4 strategic 1 OK rf 12/-4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:43:04.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3 = -4x/-4 strategic 1 OK rf -4x/-4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:46:41.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y+(-1) = -6 strategic 1 ERROR subtract +6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:46:47.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y+(-1) = -6 strategic 2 ERROR clt 6y+(-1) = -6 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:46:57.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y+(-1) = -6 strategic 3 ERROR add 6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:47:03.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y+(-1) = -6 strategic 4 ERROR add 13 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:47:07.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y+(-1) = -6 strategic 5 OK add 1 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:47:49.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y+(-1)+1 = -6+1 left 1 OK left 6y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:47:53.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y = -6+1 right 1 OK right -5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:47:57.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y = -5 strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:48:04.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 6y/6 = -5/6 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:48:31.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = -5/6 right 1 OK right -5/6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:49:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4 = y/-7+5 strategic 1 BUG multiply 4 Simplify the fraction y/-7. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:50:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4 = y/-7+5 strategic 2 OK subtract 5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:50:35.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4-5 = y/-7+5-5 strategic 1 OK clt -4-5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:50:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = y/-7+5-5 strategic 1 OK clt y/-7+5-5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:50:41.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = y/-7 strategic 1 OK multiply -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:50:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9*(-7) = y/-7*(-7) strategic 1 OK rf y/-7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:50:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9*(-7) = -y/7*(-7) strategic 1 OK mt -9*(-7) condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:50:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 63 = -y/7*(-7) strategic 1 OK mt -y/7*(-7) condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:51:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6+(-9) = 2 strategic 1 OK add 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:51:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6+(-9)+9 = 2+9 strategic 1 OK clt y/6+(-9)+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:51:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6 = 2+9 strategic 1 OK clt 2+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:51:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6 = 11 strategic 1 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:51:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6*6 = 11*6 strategic 1 ERROR rf y/6*6 = 11*6 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:51:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6*6 = 11*6 strategic 2 OK mt y/6*6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:51:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = 11*6 strategic 1 OK mt 11*6 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:52:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 1 = y/6+(-6) strategic 1 OK add 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:52:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 1+6 = y/6+(-6)+6 left 1 OK left 7 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:52:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7 = y/6+(-6)+6 right 1 OK right y/6 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:52:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7 = y/6 strategic 1 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:53:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7*6 = y/6*6 left 1 OK left 42 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:53:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 42 = y/6*6 right 1 OK right 6y/6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:53:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 42 = 6y/6 strategic 1 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:53:40.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 42*6 = 6y/6*6 left 1 OK left 42*6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:53:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 42*6 = 6y/6*6 right 1 BUG right 6y/36 6y/36 is equal to 6y/6 divided by 6. You need to calculate 6y/6 times 6. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:54:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 42*6 = 6y/6*6 right 2 OK right 6y/6*6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:54:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 42*6 = 6y/6*6 strategic 1 OK mt 42*6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:54:48.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 ERROR 252+ condition 4 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:54:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 OK 252 condition 4 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:54:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 252 = 6y/6*6 strategic 1 OK mt 6y/6*6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-num-node strategic 1 OK 36y condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-den-node strategic 1 OK 6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 OK 36y/6 condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 252 = 36y/6 strategic 1 OK rf 36y/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:28.0 HINT HINT ES_02orig ES_02-8 EG41 row1-N-y strategic 1 INITIAL_HINT This entry box represent the y factor of the numerator. Find the y factor in the numerator of the expression 36y/6. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:29.0 HINT HINT ES_02orig ES_02-8 EG41 row1-N-y strategic 2 INITIAL_HINT This entry box represent the y factor of the numerator. Find the y factor in the numerator of the expression 36y/6. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:30.0 HINT HINT ES_02orig ES_02-8 EG41 row1-N-y strategic 3 INITIAL_HINT This entry box represent the y factor of the numerator. Find the y factor in the numerator of the expression 36y/6. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:30.0 HINT HINT ES_02orig ES_02-8 EG41 row1-N-y strategic 4 INITIAL_HINT This entry box represent the y factor of the numerator. Find the y factor in the numerator of the expression 36y/6. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:41.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Drag y here. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-y strategic 5 OK y condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-constant factors strategic 1 OK 36 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:55:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1/[6] condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2constant factors strategic 1 OK 6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:05.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2y strategic 1 BUG y y
Perhaps you should fill in the denominator of the y factors above. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-y strategic 1 OK y condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 1 OK 6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR y condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-y strategic 1 BUG y y
Perhaps you should fill in the denominator of the y factors above. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 4 BUG y y
Perhaps you should fill in the answers above. BUG condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171N6L94 session0 2007-02-15 17:56:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 252 = 36y/6 strategic 2 BUG divide 252 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171TLtxe session0 2007-03-08 17:53:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10 = -5x+6 strategic 1 BUG add 6 Since 6 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 6 from both sides. BUG condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:53:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10 = -5x+6 strategic 2 OK subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:53:42.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10-6 = -5x+6-6 strategic 1 ERROR rds -10-6 = -5x+6-6 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:53:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10-6 = -5x+6-6 strategic 2 ERROR rf -10-6 = -5x+6-6 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:54:24.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10-6 = -5x+6-6 strategic 3 ERROR distribute -10-6 = -5x+6-6 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:54:42.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10-6 = -5x+6-6 strategic 4 ERROR rds -10-6 = -5x+6-6 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:54:56.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10-6 = -5x+6-6 strategic 5 OK clt -10-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:54:57.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16 = -5x+6-6 strategic 1 OK clt -5x+6-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:55:06.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16 = -5x strategic 1 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:55:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16/-5 = -5x/-5 strategic 1 BUG clt -16/-5 = -5x/-5 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:55:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16/-5 = -5x/-5 strategic 2 BUG rds -16/-5 = -5x/-5 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:55:37.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16/-5 = -5x/-5 strategic 3 OK rf -16/-5 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:55:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 16/5 = -5x/-5 strategic 1 OK rf -5x/-5 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:56:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5+3y = 7 strategic 1 OK add 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:56:27.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5+3y+5 = 7+5 strategic 1 OK clt -5+3y+5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:56:27.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3y = 7+5 strategic 1 OK clt 7+5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:56:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3y = 12 strategic 1 ERROR clt 3y = 12 strategic condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:56:50.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3y = 12 strategic 2 OK divide 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3y/3 = 12/3 strategic 1 OK rf 3y/3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = 12/3 strategic 1 OK rf 12/3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 8y+5 = -5 strategic 1 OK subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 8y+5-5 = -5-5 strategic 1 OK clt 8y+5-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 8y = -5-5 strategic 1 OK clt -5-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 8y = -10 strategic 1 OK divide 8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:50.0 CYCLE CYCLE ES_02c ES_02-5 EG40 8y/8 = -10/8 strategic 1 OK rf 8y/8 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171TLtxe session0 2007-03-08 17:57:50.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = -10/8 strategic 1 OK rf -10/8 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
171WlKrs session0 2007-02-27 13:51:49.0 HINT HINT ES_02orig ES_02-5 EG40 2 = -10+(-8y) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:51:50.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:51:56.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE What action can you perform to remove the double signs in -10+[-8y]? HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:51:57.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:52:48.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2 = -10+(-8y) strategic 2 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:53:22.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2-10 = -10+(-8y)-10 strategic 1 OK divide -8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:53:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 (2-10)/-8 = (-10+(-8y)-10)/-8 strategic 1 BUG multiply 8 Multiplying by 8 will leave -y. It is better to multiply by -8, because that will leave y. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:54:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 (2-10)/-8*8 = (-10+(-8y)-10)/-8*8 strategic 1 BUG multiply -8 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:54:28.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 (2-10)/-8*8*(-8) = (-10+(-8y)-10)/-8*8*(-8) strategic 1 BUG subtract 65 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:54:32.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 (2-10)/-8*8*(-8)-65 = (-10+(-8y)-10)/-8*8*(-8)-65 strategic 1 OK rds (2-10)/-8*8*(-8)-65 = (-10+(-8y)-10)/-8*8*(-8)-65 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:54:34.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 (2-10)/-8*8*(-8)-65 = (-10-8y-10)/-8*8*(-8)-65 strategic 1 ERROR rds (2-10)/-8*8*(-8)-65 = (-10-8y-10)/-8*8*(-8)-65 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171WlKrs session0 2007-02-27 13:54:36.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 (2-10)/-8*8*(-8)-65 = (-10-8y-10)/-8*8*(-8)-65 strategic 2 ERROR rds (2-10)/-8*8*(-8)-65 = (-10-8y-10)/-8*8*(-8)-65 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--4--es02or
171gx4sn session0 2007-03-22 16:33:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+3y = 0 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:33:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+3y-2 = 0-2 strategic 1 ERROR rds 2+3y-2 = 0-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:33:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+3y-2 = 0-2 strategic 2 ERROR distribute 2+3y-2 = 0-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:33:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+3y-2 = 0-2 strategic 3 ERROR distribute 2+3y-2 = 0-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:34:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+3y-2 = 0-2 strategic 4 OK clt 2+3y-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:34:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = 0-2 strategic 1 OK clt 0-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:34:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = -2 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:34:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y/3 = -2/3 strategic 1 BUG rds 3y/3 = -2/3 strategic Simplify the fraction 3y/3. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:34:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y/3 = -2/3 strategic 2 OK rf 3y/3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:36:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+(-7x) = -7 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:36:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+(-7x)-3 = -7-3 left 1 OK left -7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:36:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = -7-3 right 1 BUG right 10 You need to calculate -7 minus 3, not 3 minus -7. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:36:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = -7-3 right 2 OK right -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:36:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = -10 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:36:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = -10/-7 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:37:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -10/-7 right 1 ERROR right 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:37:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -10/-7 right 2 ERROR right 1.42 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:37:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -10/-7 right 3 ERROR right 1.4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:37:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -10/-7 right 4 ERROR right 1.42 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -10/-7 right 5 OK right 1.428 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:17.0 HINT HINT ES_02 ES_02-6 EG40 x = 1.42857143 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 2 BUG rds x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 3 BUG distribute x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 4 BUG clt x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 5 BUG rds x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 6 BUG clt x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 7 BUG rds x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 8 BUG distribute x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:38:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1.42857143 strategic 9 BUG rf x = 1.42857143 strategic You already solved the equation. x is 1.4286. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/6 = 8 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/6-2 = 8-2 strategic 1 OK clt 2+x/6-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6 = 8-2 strategic 1 OK clt 8-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6 = 6 strategic 1 OK divide 1/6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (x/6)/(1/6) = 6/(1/6) strategic 1 OK rf (x/6)/(1/6) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 6/(1/6) strategic 1 OK rf 6/(1/6) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 6*6 strategic 1 OK mt 6*6 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = 9+(x/-7) strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:40:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7-9 = 9+(x/-7)-9 strategic 1 BUG rds 7-9 = 9+(x/-7)-9 strategic Simplify the fraction x/-7. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7-9 = 9+(x/-7)-9 strategic 2 OK clt 7-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = 9+(x/-7)-9 strategic 1 OK clt 9+(x/-7)-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/-7 strategic 1 BUG divide 1/7 In this equation, x is multiplied by 1/-7. Dividing by 1/7 leaves -x, so you still need to remove the negative sign. It is better to divide by 1/-7, since that would leave x. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/-7 strategic 2 OK divide -1/7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2/(-1/7) = (x/-7)/(-1/7) strategic 1 OK rf x/-7 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2/(-1/7) = (-x/7)/(-1/7) strategic 1 OK rf -2/(-1/7) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*(-7) = (-x/7)/(-1/7) strategic 1 OK rf (-x/7)/(-1/7) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:41:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*(-7) = x strategic 1 OK mt -2*(-7) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:54:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/9 = 2 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:55:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/9-4 = 2-4 left 1 ERROR left y/4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:55:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/9-4 = 2-4 left 2 OK left y/9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:55:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = 2-4 right 1 OK right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:55:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 1 BUG divide 9 To remove the coefficient of y/9, you need to divide by 1/9 or multiply by 9. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:55:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 2 OK divide 1/9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:55:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/9)/(1/9) = -2/(1/9) left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:55:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -2/(1/9) right 1 ERROR right -4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:56:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -2/(1/9) right 2 ERROR right 1.81 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session0 2007-03-22 16:56:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -2/(1/9) right 3 ERROR right -1.81 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 1 ERROR rf y/9 = -2 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 2 ERROR rf y/9 = -2 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 3 ERROR mt y/9 = -2 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 4 ERROR distribute y/9 = -2 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 5 ERROR rds y/9 = -2 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 6 ERROR rds y/9 = -2 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 7 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 8 BUG divide 9 To remove the coefficient of y/9, you need to divide by 1/9 or multiply by 9. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -2 strategic 9 OK multiply 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9*9 = -2*9 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:33:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -2*9 right 1 BUG right 18 You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:34:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -2*9 right 2 OK right -18 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:34:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = x/-4+(-1) strategic 1 OK multiply -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:34:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*(-4) = (x/-4+(-1))*(-4) left 1 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:34:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 1 ERROR right 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:34:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 2 ERROR right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:34:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 3 ERROR right 4x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:34:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 4 ERROR right -4x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:35:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 5 ERROR right 4*x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:35:22.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:35:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 6 ERROR right 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:35:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 7 ERROR right -4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:35:34.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 2 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:35:35.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in (x/-4+(-1))*(-4) on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:35:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 8 ERROR right x/-4+(-1)*-4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:36:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 9 ERROR right x/-4+(-1)*(-4) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:36:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 10 OK right (x/-4+(-1))*(-4) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:36:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 3 BUG unnec-elems 0=(x/-4+(-1))*(-4) Simplify the fraction x/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:37:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = x/-4+(-1) strategic 2 BUG divide -4 To remove the coefficient of x/-4, you need to divide by 1/-4 or multiply by -4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:37:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = x/-4+(-1) strategic 3 OK multiply -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:37:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*(-4) = (x/-4+(-1))*(-4) left 2 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:37:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 11 ERROR right x/-4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:37:36.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 4 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:37:36.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type in (x/-4+(-1))*(-4) on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 12 OK right (x/-4+(-1))*(-4) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 5 BUG unnec-elems 0=(x/-4+(-1))*(-4) Simplify the fraction x/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 6 OK rf x/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 7 OK rf x/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR x/-4*1/4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR x/-4*-1/4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:38:58.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT x/-4*-1/4 In the above expression you have x/-4. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:39:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR x/-4*(-1/4) condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:39:30.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT x/-4*(-1/4) In the above expression you have x/-4. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:39:32.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -4 into x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:39:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR -4/x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:39:46.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Type -x/4. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:39:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR x/4- condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:39:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK -x/4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:40:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (-x/4+(-1))*(-4) strategic 1 ERROR unnec-elems 0=(-x/4+(-1))*(-4) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:40:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = x/-4+(-1) strategic 4 OK multiply -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:40:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*(-4) = (x/-4+(-1))*(-4) left 3 OK left 0 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:40:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 13 ERROR right 1x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:40:52.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 8 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:40:56.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE Type in (x/-4+(-1))*(-4) on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:41:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) right 14 OK right (x/-4+(-1))*(-4) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:41:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 9 BUG unnec-elems 0=(x/-4+(-1))*(-4) Simplify the fraction x/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:41:49.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 10 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:41:51.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:41:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4+(-1))*(-4) strategic 11 OK rds 0 = (x/-4+(-1))*(-4) strategic condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:41:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 1 BUG rds 0 = (x/-4-1)*(-4) strategic Simplify the fraction x/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 2 BUG mt 0 = (x/-4-1)*(-4) strategic Simplify the fraction x/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:07.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:08.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:11.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 4 BUG divide -1 Simplify the fraction x/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 5 BUG rds 0 = (x/-4-1)*(-4) strategic Simplify the fraction x/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 6 OK rf x/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:34.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 9 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 7 BUG divide -1/4 To remove the coefficient of [x/-4-1]*[-4], you need to divide by -4 or multiply by -1/4. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:42:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4) strategic 8 OK divide -4/1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:43:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0/(-4/1) = (x/-4-1)*(-4)/(-4/1) left 1 OK left 0 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:43:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) right 1 ERROR right 4/-1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:43:21.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:43:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) right 2 ERROR right -4/1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:43:31.0 HINT HINT ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:43:31.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 10 HINT_LEVEL_CHANGE Type in (x/-4-1)*(-4)/(-4/1) on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:44:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) right 3 OK right (x/-4-1)*(-4)/(-4/1) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:44:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 3 OK unnec-elems 0=(x/-4-1)*(-4)/(-4/1) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:44:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 4 BUG rds 0 = (x/-4-1)*(-4)/(-4/1) strategic Simplify the fraction (x/-4-1)*(-4)/[-4/1]. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:44:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 5 OK distribute (x/-4-1)*(-4) condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:44:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 6 BUG clt 0 = (x/-4-1)*(-4)/(-4/1) strategic Simplify the fraction (x/-4-1)*(-4)/[-4/1]. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:44:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 7 BUG mt 0 = (x/-4-1)*(-4)/(-4/1) strategic Simplify the fraction (x/-4-1)*(-4)/[-4/1]. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:44:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (x/-4-1)*(-4)/(-4/1) strategic 8 OK rf (x/-4-1)*(-4)/(-4/1) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:45:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:45:08.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 11 INITIAL_HINT x In the above expression you have (x/-4-1)*(-4)/(-4/1). Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:45:10.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 11 HINT_LEVEL_CHANGE To simplify, divide -4/1 into (x/-4-1)*(-4). HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:45:19.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 12 HINT_LEVEL_CHANGE Type (-x/4-1). HINT 3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:45:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR (-x/4-1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:45:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK -x/4-1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:45:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -x/4-1 strategic 1 ERROR clt 0 = -x/4-1 strategic condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -x/4-1 strategic 2 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 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -x/4-1 strategic 3 OK add 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+1 = -x/4-1+1 left 1 OK left 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 right 1 ERROR right x/-1-2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 right 2 ERROR right x/-41-2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 right 3 BUG right x/-4-2 x/-4-2 is equal to -x/4-1 minus 1. You need to calculate -x/4-1 plus 1. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:55.0 HINT HINT ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:46:55.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 13 HINT_LEVEL_CHANGE Type in -x/4-1+1 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 right 4 OK right -x/4-1+1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 2 OK clt -x/4-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 3 OK clt -x/4-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 4 BUG add 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:24.0 HINT HINT ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:25.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 14 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 6 OK clt -x/4-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:36.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select -x/4 and drag it to the x box above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:47:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG x/4 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:48:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 BUG x/4 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:48:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:14.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 2 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:14.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 3 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:14.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 4 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:14.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 5 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:14.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 6 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:14.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 7 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 7 ERROR rds 1 = -x/4-1+1 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4-1+1 strategic 8 OK clt -x/4-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 4 OK -x/4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 5 BUG -x/4 -x/4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -x/4, is not one of the x terms. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:35.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 8 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:35.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 9 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:35.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 10 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:35.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 11 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:35.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 12 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:35.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 13 INITIAL_HINT In the group above, you have [-x/4]. Type [-x/4] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:50:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK -x/4 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:51:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4 strategic 1 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:51:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -x/4 strategic 2 OK divide 1/4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:51:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1/(1/4) = (-x/4)/(1/4) right 1 BUG right x You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:51:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1/(1/4) = (-x/4)/(1/4) left 1 BUG left x You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:02.0 HINT HINT ES_02 ES_02-8 EG41 1/(1/4) = (-x/4)/(1/4) strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:03.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 15 HINT_LEVEL_CHANGE Type in 1/(1/4) on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1/(1/4) = (-x/4)/(1/4) left 2 OK left 1/(1/4) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1/(1/4) = (-x/4)/(1/4) right 2 BUG right x/1 You are dividing a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1/(1/4) = (-x/4)/(1/4) right 3 OK right -x/1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:30.0 HINT HINT ES_02 ES_02-8 EG41 1/(1/4) = -x/1 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:54.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 16 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:52:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1/(1/4) = -x/1 strategic 2 OK rf 1/(1/4) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*4 = -x/1 strategic 1 OK unnec-elems 1*4=-x/1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*4 = -x/1 strategic 2 OK rf -x/1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:05.0 HINT HINT ES_02 ES_02-8 EG41 row1-N-x strategic 1 INITIAL_HINT This entry box represent the x factor of the numerator. Find the x factor in the numerator of the expression -x/1. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK -1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-x strategic 2 OK x condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1/[1] condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:18.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 17 HINT_LEVEL_CHANGE Drag x here. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:27.0 HINT HINT ES_02 ES_02-8 EG41 row1-D-x strategic 1 INITIAL_HINT This entry box represent the x factor of the denominator. Find the x factor in the denominator of the expression -x/1. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:30.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 18 HINT_LEVEL_CHANGE Because there are no x factors in the denominator of -x/1, you must double-click to enter a 1 here. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 BUG 1 1
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 BUG 1 1
Check the sign of your answer. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK -1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:53:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-x strategic 1 BUG -1 -1
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:54:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-x strategic 2 OK x condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:54:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:54:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 1 BUG -1 -1
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:54:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 2 BUG xz xz
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:54:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 3 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:54:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 4 BUG -1x -1x
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:54:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 5 BUG x/1 x/1
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:55:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 BUG x x
Perhaps you should fill in the answers above. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:55:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 6 BUG 10 10
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:55:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 7 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:12.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-x strategic 8 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:13.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-x strategic 9 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:13.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-x strategic 10 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:13.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-x strategic 11 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:13.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-x strategic 12 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:14.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-x strategic 13 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-x strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:22.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-x strategic 14 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 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-x strategic 15 OK 1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:26.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 17 INITIAL_HINT x In the above expression you have -x/1. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 18 OK x/-1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*4 = x/-1 strategic 1 OK mt 1*4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 OK 4 condition 1 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:56:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/-1 strategic 1 OK rf x/-1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:57:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/-1 strategic 2 OK rf x/-1 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session1 2007-03-30 16:57:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 20 BUG x x
Check the sign of your answer. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:24:41.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT x In the above expression you have x/-1. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:24:49.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -1 into x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:25:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:25:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = -x strategic 1 OK divide -1 condition 1 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:25:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4/-1 = -x/-1 left 1 OK left -4 condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:25:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -x/-1 right 1 OK right x condition 1 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:25:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/-10+5 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:25:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-5 = x/-10+5-5 left 1 OK left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10+5-5 right 1 OK right x/-10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10 strategic 1 BUG divide 1/10 In this equation, x is multiplied by 1/-10. Dividing by 1/10 leaves -x, so you still need to remove the negative sign. It is better to divide by 1/-10, since that would leave x. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10 strategic 2 BUG multiply 1/10 Simplify the fraction x/-10. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:29.0 HINT HINT ES_02 ES_02-8 EG41 -1 = x/-10 strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:30.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/-10+5 strategic 2 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-5 = x/-10+5-5 left 2 OK left -1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10+5-5 right 2 OK right x/-10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:26:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10 strategic 4 BUG divide -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10 strategic 1 BUG divide -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10 strategic 2 BUG multiply -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-10 strategic 3 OK divide -1/10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1/(-1/10) = (x/-10)/(-1/10) right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1/(-1/10) = x left 1 BUG left 1/10 1/10 is equal to -1 times -1/10. You need to calculate -1 divided by -1/10. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1/(-1/10) = x left 2 ERROR left -1/10 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:45.0 HINT HINT ES_02 ES_02-8 EG41 -1/(-1/10) = x strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:29:47.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in -1/(-1/10) on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:30:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1/(-1/10) = x left 3 OK left -1/(-1/10) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:30:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1/(-1/10) = x strategic 2 BUG rds -1/(-1/10) = x strategic Simplify the fraction -1/[-1/10]. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:30:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1/(-1/10) = x strategic 3 OK rf -1/(-1/10) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:30:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*(-10) = x strategic 1 OK mt -1*(-10) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:30:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 10 condition 1 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:31:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7+1 = 7 strategic 1 BUG multiply -1/10 Simplify the fraction y/-7. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:31:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7+1 = 7 strategic 2 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:31:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7+1-1 = 7-1 left 1 OK left y/-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:31:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7 = 7-1 right 1 OK right 6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:31:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7 = 6 strategic 1 BUG divide -1/4 Simplify the fraction y/-7. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:31:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7 = 6 strategic 2 BUG divide 1/7 In this equation, y is multiplied by 1/-7. Dividing by 1/7 leaves -y, so you still need to remove the negative sign. It is better to divide by 1/-7, since that would leave y. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:32:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7 = 6 strategic 3 OK divide -1/7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/-7)/(-1/7) = 6/(-1/7) left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:32:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) right 1 ERROR right 18 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) right 2 ERROR right 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) right 3 ERROR right 4.22 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) right 4 ERROR right 4.23 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:12.0 HINT HINT ES_02 ES_02-8 EG41 y = 6/(-1/7) strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:13.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in 6/(-1/7) on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) right 5 OK right 6/(-1/7) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:32.0 HINT HINT ES_02 ES_02-8 EG41 y = 6/(-1/7) strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:33.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) strategic 3 BUG rds y = 6/(-1/7) strategic Simplify the fraction 6/[-1/7]. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7 = 6 strategic 4 OK divide -1/7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:33:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/-7)/(-1/7) = 6/(-1/7) left 2 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:34:05.0 HINT HINT ES_02 ES_02-8 EG41 y = 6/(-1/7) strategic 4 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:34:07.0 HINT HINT ES_02 ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Type in 6/(-1/7) on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:34:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) right 6 OK right 6/(-1/7) condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:34:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6/(-1/7) strategic 5 OK rf 6/(-1/7) condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:34:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 6*(-7) strategic 1 OK mt 6*(-7) condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:34:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -42 condition 1 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:37:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -9/y strategic 1 ERROR divide 1/10 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:38:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -9/y strategic 2 ERROR multiply 1/10 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:38:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -9/y strategic 3 BUG divide 9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:38:47.0 HINT HINT ES_02 ES_02-9 EG44 9 = -9/y strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:38:48.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -9/y is -9 divided by y. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:38:53.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:38:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -9/y strategic 5 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y = -9/y*y strategic 1 OK mt -9/y*y condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y = -9 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y/9 = -9/9 strategic 1 BUG rds 9y/9 = -9/9 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y/9 = -9/9 strategic 2 OK rf 9y/9 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -9/9 strategic 1 OK rf -9/9 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 3 strategic 1 BUG multiply 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 3 strategic 2 ERROR divide y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 3 strategic 3 ERROR divide y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:56.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 3 strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:39:57.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 9/y is 9 divided by y. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 3 strategic 5 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y*y = 3y strategic 1 ERROR rf 9/y*y = 3y strategic condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y*y = 3y strategic 2 OK mt 9/y*y condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 3y strategic 1 BUG divide 9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 3y strategic 2 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/3 = 3y/3 strategic 1 BUG rds 9/3 = 3y/3 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/3 = 3y/3 strategic 2 OK rf 9/3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 3y/3 strategic 1 OK rf 3y/3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x = 5 strategic 1 BUG multiply 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:40:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x = 5 strategic 2 ERROR divide x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x = 5 strategic 3 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x*x = 5x strategic 1 ERROR rf -2/x*x = 5x strategic condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x*x = 5x strategic 2 OK mt -2/x*x condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 5x strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/5 = 5x/5 strategic 1 OK rf 5x/5 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x = 6 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x*x = 6x strategic 1 OK mt 9/x*x condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 6x strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/6 = 6x/6 strategic 1 OK rf 9/6 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:41:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/2 = 6x/6 strategic 1 OK rf 6x/6 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/y = 10 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/y*y = 10y strategic 1 ERROR rf -9/y*y = 10y strategic condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/y*y = 10y strategic 2 OK mt -9/y*y condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 10y strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/10 = 10y/10 strategic 1 OK rf 10y/10 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -9/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4y = -9/y*y strategic 1 OK mt -9/y*y condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4y = -9 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:42:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4y = -9 strategic 2 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:43:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4y/-4 = -9/-4 strategic 1 OK rf -4y/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:43:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -9/-4 strategic 1 OK rf -9/-4 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 3/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 3/y*y left 1 OK left 3y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 3/y*y right 1 ERROR right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 3/y*y right 2 OK right 3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 3 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 3/3 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = 3/3 right 1 OK right 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = -6/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:47:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -6/x*x left 1 OK left -7x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:48:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -6/x*x right 1 BUG right 6 You are multiplying a negative by a positive. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:48:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -6/x*x right 2 OK right -6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:48:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -6 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:48:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/-7 = -6/-7 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:48:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -6/-7 right 1 ERROR right .85 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:48:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -6/-7 right 2 ERROR right .854 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:00.0 HINT HINT ES_02 ES_02-10 EG44 x = -6/-7 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:01.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Type in -6/-7 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -6/-7 right 3 OK right -6/-7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -6/-7 strategic 2 OK rf -6/-7 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:21.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have -6/-7. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:22.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -7 into -6. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:26.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type 6/7. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171fN40L--7--es02
171gx4sn session2 2007-04-10 17:49:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 6/7 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02
171jQdWL session0 2007-03-07 17:42:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 4+9y strategic 1 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171jQdWL session0 2007-03-07 17:42:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1-4 = 4+9y-4 strategic 1 ERROR mt 1-4 = 4+9y-4 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171jQdWL session0 2007-03-07 17:43:05.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1-4 = 4+9y-4 strategic 2 OK clt 1-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171jQdWL session0 2007-03-07 17:43:05.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3 = 4+9y-4 strategic 1 OK clt 4+9y-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171jQdWL session0 2007-03-07 17:43:11.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3 = 9y strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171jQdWL session0 2007-03-07 17:43:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3/9 = 9y/9 strategic 1 BUG clt -3/9 = 9y/9 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171jQdWL session0 2007-03-07 17:43:31.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3/9 = 9y/9 strategic 2 OK rf -3/9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171jQdWL session0 2007-03-07 17:43:31.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/3 = 9y/9 strategic 1 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--6--es02b
171lYmSb session0 2007-02-21 17:43:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8 = -5y+8 strategic 1 OK subtract 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:43:17.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8-8 = -5y+8-8 strategic 1 ERROR rds -8-8 = -5y+8-8 strategic condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:51:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -8-8 = -5y+8-8 strategic 2 OK clt -8-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:51:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16 = -5y+8-8 strategic 1 OK clt -5y+8-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:51:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16 = -5y strategic 1 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:51:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16/-5 = -5y/-5 strategic 1 BUG clt -16/-5 = -5y/-5 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:52:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16/-5 = -5y/-5 strategic 2 BUG rds -16/-5 = -5y/-5 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:52:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -16/-5 = -5y/-5 strategic 3 OK rf -16/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session0 2007-02-21 17:52:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 16/5 = -5y/-5 strategic 1 OK rf -5y/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:30:52.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1+(-1y) = -8 strategic 1 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:31:00.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1+(-1y)-1 = -8-1 left 1 OK left -1y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:31:03.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1y = -8-1 right 1 OK right -9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:31:10.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1y = -9 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:31:19.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1y = -9 strategic 2 OK divide -1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:31:22.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1y/-1 = -9/-1 left 1 OK left y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:31:34.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -9/-1 right 1 OK right 9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:32:02.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -4x+(-2) = -3 strategic 1 OK add 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:32:08.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -4x+(-2)+2 = -3+2 left 1 OK left -4x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:32:12.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -4x = -3+2 right 1 OK right -1 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:32:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -4x = -1 strategic 1 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:32:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -4x/-4 = -1/-4 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:32:40.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = -1/-4 right 1 ERROR right -5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:33:07.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = -1/-4 right 2 BUG right -.25 You are dividing a negative by a negative. The result should be positive. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:33:12.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = -1/-4 right 3 OK right .25 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:35:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/6+(-6) = 1 strategic 1 OK add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:35:31.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/6+(-6)+6 = 1+6 strategic 1 OK clt x/6+(-6)+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:35:31.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/6 = 1+6 strategic 1 OK clt 1+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:35:42.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/6 = 7 strategic 1 OK multiply 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:35:51.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/6*6 = 7*6 strategic 1 OK mt x/6*6 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:35:51.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x = 7*6 strategic 1 OK mt 7*6 condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:36:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4+(y/-5) = 0 strategic 1 OK subtract 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:36:30.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4+(y/-5)-4 = 0-4 strategic 1 OK clt 4+(y/-5)-4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:36:30.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-5 = 0-4 strategic 1 OK clt 0-4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:36:38.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-5 = -4 strategic 1 OK multiply -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:36:42.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-5*(-5) = -4*(-5) strategic 1 OK mt y/-5*(-5) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:36:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = -4*(-5) strategic 1 OK mt -4*(-5) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:38:13.0 CYCLE CYCLE ES_02c ES_02-8 EG41 1 = -5+(y/-3) strategic 1 OK add 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:38:21.0 CYCLE CYCLE ES_02c ES_02-8 EG41 1+5 = -5+(y/-3)+5 left 1 OK left 6 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:38:32.0 CYCLE CYCLE ES_02c ES_02-8 EG41 6 = -5+(y/-3)+5 right 1 OK right Y/-3 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:38:42.0 CYCLE CYCLE ES_02c ES_02-8 EG41 6 = Y/-3 strategic 1 OK multiply -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:38:47.0 CYCLE CYCLE ES_02c ES_02-8 EG41 6*(-3) = Y/-3*(-3) left 1 OK left -18 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:38:50.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -18 = Y/-3*(-3) right 1 OK right Y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:39:19.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -5+(x/-6) = -5 strategic 1 OK add 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:39:27.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -5+(x/-6)+5 = -5+5 left 1 OK left X/-6 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:39:33.0 CYCLE CYCLE ES_02c ES_02-8 EG41 X/-6 = -5+5 right 1 OK right 0 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:39:39.0 CYCLE CYCLE ES_02c ES_02-8 EG41 X/-6 = 0 strategic 1 OK multiply -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:39:43.0 CYCLE CYCLE ES_02c ES_02-8 EG41 X/-6*(-6) = 0*(-6) left 1 OK left X condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:39:46.0 CYCLE CYCLE ES_02c ES_02-8 EG41 X = 0*(-6) right 1 OK right 0 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:45:39.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8 = -2/y strategic 1 ERROR multiply 2 condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:45:47.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8 = -2/y strategic 2 BUG multiply -2 To remove -2/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -2/y. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session1 2007-02-22 15:46:00.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8 = -2/y strategic 3 ERROR multiply -2/Y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:38:54.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8 = -2/y strategic 1 BUG multiply -2 To remove -2/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -2/y. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:39:55.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8 = -2/y strategic 2 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:40:01.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8y = -2/y*y strategic 1 OK mt -2/y*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:40:07.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8y = -2 strategic 1 OK divide 8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:40:16.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8y/8 = -2/8 strategic 1 OK rf 8y/8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:40:16.0 CYCLE CYCLE ES_02c ES_02-9 EG44 y = -2/8 strategic 1 OK rf -2/8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:43:34.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6/y = -7 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:43:37.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6/y*y = -7y strategic 1 OK mt 6/y*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:43:44.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6 = -7y strategic 1 OK divide -7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:43:52.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6/-7 = -7y/-7 strategic 1 OK rf 6/-7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:43:52.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -6/7 = -7y/-7 strategic 1 OK rf -7y/-7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:44:47.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -4/y = 1 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:44:54.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -4/y*y = 1y strategic 1 OK mt -4/y*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:44:54.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -4 = 1y strategic 1 OK mt 1y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:55:35.0 CYCLE CYCLE ES_02c ES_02-10 EG44 9 = 9/y strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:55:52.0 CYCLE CYCLE ES_02c ES_02-10 EG44 9y = 9/y*y left 1 OK left 9y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:55:58.0 CYCLE CYCLE ES_02c ES_02-10 EG44 9y = 9/y*y right 1 OK right 9 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 9y = 9 strategic 1 OK divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:06.0 CYCLE CYCLE ES_02c ES_02-10 EG44 9y/9 = 9/9 left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:08.0 CYCLE CYCLE ES_02c ES_02-10 EG44 y = 9/9 right 1 OK right 1 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:28.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3 = 8/x strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:33.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3x = 8/x*x left 1 OK left 3x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:39.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3x = 8/x*x right 1 ERROR right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3x = 8/x*x right 2 OK right 8 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:49.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3x = 8 strategic 1 OK divide 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:56:52.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3x/3 = 8/3 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171lYmSb session2 2007-02-28 17:57:06.0 CYCLE CYCLE ES_02c ES_02-10 EG44 x = 8/3 right 1 OK right 8/3 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
171qw87d session0 2007-03-22 16:43:28.0 HINT HINT ES_02b ES_02-5 EG40 -9 = -9+8x strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:43:29.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:43:33.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:43:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9 = -9+8x strategic 2 OK add 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:43:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9+9 = -9+8x+9 strategic 1 OK clt -9+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:43:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -9+8x+9 strategic 1 OK clt -9+8x+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:01.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = 8x strategic 1 ERROR distribute 0 = 8x strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:07.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = 8x strategic 2 ERROR rf 0 = 8x strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:12.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = 8x strategic 3 ERROR rds 0 = 8x strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:15.0 HINT HINT ES_02b ES_02-5 EG40 0 = 8x strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:16.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE 8x is 8 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:20.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 8. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:27.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = 8x strategic 5 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:34.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0/8 = 8x/8 strategic 1 OK rf 0/8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:44:34.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = 8x/8 strategic 1 OK rf 8x/8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y+(-4) = -3 strategic 1 ERROR add 5 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:24.0 HINT HINT ES_02b ES_02-5 EG40 -5y+(-4) = -3 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:25.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:29.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y+(-4) = -3 strategic 3 OK rds -5y+(-4) = -3 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y-4 = -3 strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y-4+4 = -3+4 strategic 1 ERROR mt -5y-4+4 = -3+4 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y-4+4 = -3+4 strategic 2 OK clt -5y-4+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:45:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y = -3+4 strategic 1 OK clt -3+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:04.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y = 1 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 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:14.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y = 1 strategic 2 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:32.0 HINT HINT ES_02b ES_02-5 EG40 -5y = 1 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:33.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE -5y is -5 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:41.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Divide both sides by -5. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y = 1 strategic 4 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y/-5 = 1/-5 strategic 1 OK rf -5y/-5 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:46:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = 1/-5 strategic 1 OK rf 1/-5 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:47:09.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 7x+(-2) strategic 1 OK rds 10 = 7x+(-2) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:26.0 HINT HINT ES_02b ES_02-5 EG40 10 = 7x-2 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:27.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:31.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 7x-2 strategic 2 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:45.0 HINT HINT ES_02b ES_02-5 EG40 10+2 = 7x-2+2 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:45.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:49.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10+2 = 7x-2+2 strategic 2 OK clt 10+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:48:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12 = 7x-2+2 strategic 1 OK clt 7x-2+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:05.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12 = 7x strategic 1 ERROR divide -12 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12 = 7x strategic 2 ERROR divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:17.0 HINT HINT ES_02b ES_02-5 EG40 12 = 7x strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:17.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE 7x is 7 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:21.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by 7. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:25.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12 = 7x strategic 4 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12/7 = 7x/7 strategic 1 OK rf 7x/7 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:49:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2+(-3x) = -2 strategic 1 OK rds -2+(-3x) = -2 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2-3x = -2 strategic 1 ERROR add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:30.0 HINT HINT ES_02b ES_02-5 EG40 -2-3x = -2 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:31.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:35.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2-3x = -2 strategic 3 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:49.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2-3x+2 = -2+2 strategic 1 OK clt -2-3x+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:49.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3x = -2+2 strategic 1 OK clt -2+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:50:58.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3x = 0 strategic 1 BUG divide 3 In this equation, x is multiplied by -3. Dividing by 3 leaves -x, so you still need to remove the negative sign. It is better to divide by -3, since that would leave x. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:51:19.0 HINT HINT ES_02b ES_02-5 EG40 -3x = 0 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:51:20.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE -3x is -3 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:51:26.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -3. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:51:31.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3x = 0 strategic 3 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:51:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3x/-3 = 0/-3 strategic 1 BUG rds -3x/-3 = 0/-3 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:51:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3x/-3 = 0/-3 strategic 2 OK rf -3x/-3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:51:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 x = 0/-3 strategic 1 OK rf 0/-3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:52:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = 9+8x strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:52:34.0 HINT HINT ES_02b ES_02-5 EG40 4 = 9+8x strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:52:34.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:52:38.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:01.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = 9+8x strategic 3 BUG subtract -9 To remove 9 from the right side, you can subtract a positive from it. Erase your last step and subtract 9 from both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:04.0 HINT HINT ES_02b ES_02-5 EG40 4 = 9+8x strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:05.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:08.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:15.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = 9+8x strategic 5 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4-9 = 9+8x-9 strategic 1 OK clt 4-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = 9+8x-9 strategic 1 OK clt 9+8x-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:25.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = 8x strategic 1 ERROR divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:32.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = 8x strategic 2 ERROR divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:37.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = 8x strategic 3 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:53:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5/8 = 8x/8 strategic 1 OK rf 8x/8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:08.0 HINT HINT ES_02b ES_02-5 EG40 -6 = -9+2y strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:09.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:14.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -6 = -9+2y strategic 2 OK add 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:26.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -6+9 = -9+2y+9 strategic 1 OK clt -6+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:26.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3 = -9+2y+9 strategic 1 OK clt -9+2y+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:34.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3 = 2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:54:37.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3/2 = 2y/2 strategic 1 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:02.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = 2y+4 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:13.0 HINT HINT ES_02b ES_02-5 EG40 5 = 2y+4 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:13.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:24.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 4 from both sides of the equation to eliminate the constant value of 4 (4 - 4 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:34.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = 2y+4 strategic 3 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5-4 = 2y+4-4 strategic 1 OK clt 5-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 2y+4-4 strategic 1 OK clt 2y+4-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:55:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1/2 = 2y/2 strategic 1 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:56:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x+(-6) = 6 strategic 1 OK rds 4x+(-6) = 6 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:56:59.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x+(-6) = 6 strategic 2 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:57:02.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x+(-6)+6 = 6+6 strategic 1 OK clt 4x+(-6)+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session0 2007-03-22 16:57:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x = 6+6 strategic 1 OK clt 6+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:43:52.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x = 12 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x/4 = 12/4 strategic 1 OK rf 4x/4 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 x = 12/4 strategic 1 OK rf 12/4 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:25.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2 = -6y+2 strategic 1 ERROR clt 2 = -6y+2 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:28.0 HINT HINT ES_02b ES_02-5 EG40 2 = -6y+2 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:29.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:32.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2 = -6y+2 strategic 3 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2-2 = -6y+2-2 strategic 1 OK clt 2-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -6y+2-2 strategic 1 OK clt -6y+2-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:44:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -6y strategic 1 BUG divide 6 In this equation, y is multiplied by -6. Dividing by 6 leaves -y, so you still need to remove the negative sign. It is better to divide by -6, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:08.0 HINT HINT ES_02b ES_02-5 EG40 0 = -6y strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:09.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE -6y is -6 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:18.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -6. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -6y strategic 3 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:31.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0/-6 = -6y/-6 strategic 1 BUG rds 0/-6 = -6y/-6 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0/-6 = -6y/-6 strategic 2 OK rf 0/-6 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -6y/-6 strategic 1 OK rf -6y/-6 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:45:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8 = -1x+(-3) strategic 1 OK rds 8 = -1x+(-3) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8 = -1x-3 strategic 1 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:14.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8 = -1x-3 strategic 2 OK subtract -3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8-(-3) = -1x-3-(-3) strategic 1 OK clt 8-(-3) condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 11 = -1x-3-(-3) strategic 1 OK clt -1x-3-(-3) condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 11 = -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:29.0 CYCLE CYCLE ES_02b ES_02-5 EG40 11 = -1x strategic 2 BUG divide 11 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 11 = -1x strategic 3 OK divide -1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 11/-1 = -1x/-1 strategic 1 OK rf 11/-1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:46:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -11 = -1x/-1 strategic 1 OK rf -1x/-1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 3+(-4x) strategic 1 OK rds 10 = 3+(-4x) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:29.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 3-4x strategic 1 ERROR subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:35.0 HINT HINT ES_02b ES_02-5 EG40 10 = 3-4x strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:35.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:44.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:52.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 3-4x strategic 3 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10-3 = 3-4x-3 strategic 1 OK clt 10-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:47:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7 = 3-4x-3 strategic 1 OK clt 3-4x-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:48:05.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7 = -4x strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:48:10.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7/-4 = -4x/-4 strategic 1 OK rf 7/-4 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:48:10.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/4 = -4x/-4 strategic 1 OK rf -4x/-4 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:50:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2 = -5x+1 strategic 1 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 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:50:55.0 HINT HINT ES_02b ES_02-5 EG40 -2 = -5x+1 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:50:56.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:51:00.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:51:11.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2 = -5x+1 strategic 3 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:51:16.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2-1 = -5x+1-1 strategic 1 OK clt -2-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:51:16.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3 = -5x+1-1 strategic 1 OK clt -5x+1-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:51:27.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3 = -5x strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:51:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3/-5 = -5x/-5 strategic 1 OK rf -3/-5 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:51:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3/5 = -5x/-5 strategic 1 OK rf -5x/-5 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = -4+(-10x) strategic 1 OK rds 9 = -4+(-10x) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = -4-10x strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9+4 = -4-10x+4 strategic 1 OK clt 9+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 13 = -4-10x+4 strategic 1 OK clt -4-10x+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:30.0 CYCLE CYCLE ES_02b ES_02-5 EG40 13 = -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 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:43.0 CYCLE CYCLE ES_02b ES_02-5 EG40 13 = -10x strategic 2 OK divide -10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 13/-10 = -10x/-10 strategic 1 OK rf 13/-10 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:52:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -13/10 = -10x/-10 strategic 1 OK rf -10x/-10 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:53:18.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 9y+2 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:53:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1-2 = 9y+2-2 strategic 1 OK clt 1-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:53:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1 = 9y+2-2 strategic 1 OK clt 9y+2-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:53:36.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1 = 9y strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session1 2007-03-30 16:53:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/9 = 9y/9 strategic 1 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:28:43.0 HINT HINT ES_02b ES_02-6 EG40 -8 = 1+8x strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:28:44.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:28:47.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:28:56.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8 = 1+8x strategic 2 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 left 1 ERROR left -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:10.0 HINT HINT ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 left 2 BUG left -7 -7 is equal to -8 plus 1. You need to calculate -8 minus 1. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 left 3 ERROR left -1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:46.0 HINT HINT ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:46.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in -8-1 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 left 4 OK left -8-1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:29:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 right 1 ERROR right x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:09.0 HINT HINT ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 strategic 3 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:10.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type in 1+8x-1 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 right 2 OK right 1+8x-1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8-1 = 1+8x-1 strategic 4 OK clt -8-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:32.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Simplify the expression [-8]+[-1]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:33.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:37.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Adding [-8]+[-1] yields -9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK -9 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9 = 1+8x-1 strategic 1 OK clt 1+8x-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:45.0 HINT HINT ES_02b ES_02-6 EG40 x1R1 strategic 1 INITIAL_HINT This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:46.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE For example, drag 8x here. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:53.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 1 OK 8x condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:30:56.0 HINT HINT ES_02b 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 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 2 BUG 1 1
Perhaps you should fill in all the constant terms above. BUG condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 3 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK 8x condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9 = 8x strategic 1 ERROR clt -9 = 8x strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9 = 8x strategic 2 ERROR divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9 = 8x strategic 3 ERROR divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:48.0 HINT HINT ES_02b ES_02-6 EG40 -9 = 8x strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:49.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE 8x is 8 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:52.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 9 HINT_LEVEL_CHANGE Divide both sides by 8. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:31:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9 = 8x strategic 5 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8x/8 = -9/8 left 1 OK left 1x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:11.0 HINT HINT ES_02b ES_02-6 EG40 1x = -9/8 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:12.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 10 HINT_LEVEL_CHANGE Type in -9/8 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:19.0 HINT HINT ES_02b ES_02-6 EG40 1x = -9/8 strategic 2 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:20.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 11 HINT_LEVEL_CHANGE Type in -9/8 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:25.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1x = -9/8 right 1 OK right -9/8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1x = -9/8 strategic 3 OK unnec-elems 1x=-9/8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:50.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y+(-10) = -4 strategic 1 ERROR distribute 4y+(-10) = -4 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y+(-10) = -4 strategic 2 OK rds 4y+(-10) = -4 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:32:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y-10 = -4 strategic 1 ERROR clt 4y-10 = -4 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:04.0 HINT HINT ES_02b ES_02-6 EG40 4y-10 = -4 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:04.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:08.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 10 to both sides of the equation to eliminate the constant value of -10 (-10 + 10 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:17.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y-10 = -4 strategic 3 OK add 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:24.0 HINT HINT ES_02b ES_02-6 EG40 4y-10+10 = -4+10 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y-10+10 = -4+10 left 1 ERROR left 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:37.0 HINT HINT ES_02b ES_02-6 EG40 4y-10+10 = -4+10 strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:37.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 4y-10+10 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:33:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y-10+10 = -4+10 left 2 OK left 4y-10+10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:04.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y-10+10 = -4+10 right 1 OK right 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y-10+10 = 6 strategic 1 OK clt 4y-10+10 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 1 OK 4y condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK 4y condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:46.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y = 6 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4y/4 = 6/4 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:34:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 6/4 right 1 ERROR right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:01.0 HINT HINT ES_02b ES_02-6 EG40 y = 6/4 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:01.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type in 6/4 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 6/4 right 2 OK right 6/4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 6/4 strategic 2 OK rf 6/4 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 1 ERROR 6 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 2 ERROR 4 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:22.0 HINT HINT ES_02b ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:23.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 6 and denominator 4? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:29.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE 2 will go into both 6 and 4 and is the most appropriate common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 4 OK 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:48.0 HINT HINT ES_02b ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [6]/[4] is 2. This set of entry boxes represent the simplified form of [6]/[4]. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:49.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:50.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 6, by 2, the common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:35:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:02.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 3 ERROR 6 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:12.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 4 OK 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 1 OK 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 ERROR 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:27.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK 3/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:46.0 CYCLE CYCLE ES_02b ES_02-6 EG40 5 = -1x+(-5) strategic 1 OK rds 5 = -1x+(-5) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 5 = -1x-5 strategic 1 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:57.0 HINT HINT ES_02b ES_02-6 EG40 5 = -1x-5 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:36:58.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:01.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 5 to both sides of the equation to eliminate the constant value of -5 (-5 + 5 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 5 = -1x-5 strategic 3 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:12.0 CYCLE CYCLE ES_02b ES_02-6 EG40 5+5 = -1x-5+5 left 1 OK left 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 10 = -1x-5+5 right 1 BUG right x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 10 = -1x-5+5 right 2 OK right -x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 10 = -x strategic 1 ERROR distribute 10 = -x strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:37.0 HINT HINT ES_02b ES_02-6 EG40 10 = -x strategic 2 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:38.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:42.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:46.0 CYCLE CYCLE ES_02b ES_02-6 EG40 10 = -x strategic 3 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 10/-1 = -x/-1 left 1 BUG left 10 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:37:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 10/-1 = -x/-1 left 2 OK left -10 condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:00.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10 = -x/-1 right 1 OK right x condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:02.0 HINT HINT ES_02b ES_02-6 EG40 -10 = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:04.0 HINT HINT ES_02b ES_02-6 EG40 -10 = x strategic 2 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7 = 5+(-4x) strategic 1 OK rds 7 = 5+(-4x) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:27.0 HINT HINT ES_02b ES_02-6 EG40 7 = 5-4x strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:28.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:31.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7 = 5-4x strategic 2 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7-5 = 5-4x-5 left 1 OK left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = 5-4x-5 right 1 ERROR right x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:38:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = 5-4x-5 right 2 ERROR right -x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = 5-4x-5 right 3 ERROR right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:07.0 HINT HINT ES_02b ES_02-6 EG40 2 = 5-4x-5 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:09.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 5-4x-5 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = 5-4x-5 right 4 OK right 5-4x-5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = 5-4x-5 strategic 2 OK clt 5-4x-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 1 BUG 5 5
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 2 BUG 4x 4x
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 3 BUG x x
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:49.0 HINT HINT ES_02b ES_02-6 EG40 xR2 strategic 4 INITIAL_HINT x From the original equation at the top, select -4x and drag it to the x box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:39:54.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 5 OK -4x condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:00.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 BUG 5 5
Perhaps you should fill in all the constant terms above. BUG condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:02.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 2 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK -4x condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = -4x strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-4 = -4x/-4 left 1 BUG left -2 You need to calculate 2 divided by -4, not -4 divided by 2. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-4 = -4x/-4 left 2 BUG left 2 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:27.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-4 = -4x/-4 left 3 OK left 2/-4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-4 = -4x/-4 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-4 = x strategic 1 OK rf 2/-4 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:54.0 HINT HINT ES_02b ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT 2 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:55.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 2 and denominator -4? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:40:58.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE -2 will go into both 2 and -4 and is the most appropriate common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:41:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 3 OK -2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:41:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 1 OK -1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:41:10.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 1 OK 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:41:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK -1/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:41:52.0 HINT HINT ES_02b ES_02-6 EG40 -9y+8 = 0 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:41:53.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:41:57.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:04.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y+8 = 0 strategic 2 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:09.0 HINT HINT ES_02b ES_02-6 EG40 -9y+8-8 = 0-8 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:10.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in -9y+8-8 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y+8-8 = 0-8 left 1 OK left -9y+8-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:40.0 HINT HINT ES_02b ES_02-6 EG40 -9y+8-8 = 0-8 strategic 2 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:41.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type in 0-8 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y+8-8 = 0-8 right 1 OK right 0-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y+8-8 = 0-8 strategic 3 OK unnec-elems -9y+8-8=0-8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y+8-8 = -8 strategic 1 OK clt -9y+8-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 1 OK -9y condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:56.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:42:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK -9y condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y = -8 strategic 1 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 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:11.0 HINT HINT ES_02b ES_02-6 EG40 -9y = -8 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:12.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE -9y is -9 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:16.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y = -8 strategic 3 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9y/-9 = -8/-9 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -8/-9 right 1 OK right -8/-9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -8/-9 strategic 1 OK rf -8/-9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:38.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT In the above expression you have -8/-9. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:39.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE To simplify, divide -9 into -8. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:46.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE Type 8/9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:43:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK 8/9 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:08.0 HINT HINT ES_02b ES_02-6 EG40 7+2x = -2 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:09.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:13.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7+2x = -2 strategic 2 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:32.0 HINT HINT ES_02b ES_02-6 EG40 7+2x-7 = -2-7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:33.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 7+2x-7 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7+2x-7 = -2-7 left 1 OK left 7+2x-7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:44:54.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7+2x-7 = -2-7 right 1 BUG right -5 -5 is equal to 2 minus 7. You need to calculate -2 minus 7. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7+2x-7 = -2-7 right 2 BUG right 5 5 is equal to -2 plus 7. You need to calculate -2 minus 7. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7+2x-7 = -2-7 right 3 OK right -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7+2x-7 = -9 strategic 1 OK clt 7+2x-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:17.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 1 BUG 7 7
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 2 OK 2x condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:27.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK 2x condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:39.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2x = -9 strategic 1 ERROR divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:44.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2x = -9 strategic 2 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2x/2 = -9/2 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:45:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -9/2 right 1 OK right -9/2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:46:02.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -9/2 strategic 1 BUG rf x = -9/2 strategic You already solved the equation. x is -9/2. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:46:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y+(-7) = 7 strategic 1 ERROR rf -2y+(-7) = 7 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:46:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y+(-7) = 7 strategic 2 OK rds -2y+(-7) = 7 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:46:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y-7 = 7 strategic 1 BUG subtract 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:46:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y-7 = 7 strategic 2 ERROR subtract -2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:01.0 HINT HINT ES_02b ES_02-6 EG40 -2y-7 = 7 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:02.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:06.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y-7 = 7 strategic 4 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y-7+7 = 7+7 left 1 BUG left -2y-7 You haven't performed any operations. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y-7+7 = 7+7 left 2 OK left -2y-7+7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y-7+7 = 7+7 right 1 OK right 14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y-7+7 = 14 strategic 1 OK clt -2y-7+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:50.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 1 BUG 2y 2y
Perhaps you should fill in all the y terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:47:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 2 BUG 2 2
Perhaps you should fill in all the y terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:48:01.0 HINT HINT ES_02b ES_02-6 EG40 yR2 strategic 3 INITIAL_HINT 2 From the original equation at the top, select -2y and drag it to the y box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:48:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 4 OK -2y condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:48:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:48:10.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK -2y condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:48:17.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y = 14 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:48:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2y/-2 = 14/-2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 14/-2 right 1 ERROR right 12 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:04.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 14/-2 right 2 ERROR right -12 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:07.0 HINT HINT ES_02b ES_02-6 EG40 y = 14/-2 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:08.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 14/-2 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 14/-2 right 3 OK right 14/-2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 14/-2 strategic 2 OK rf 14/-2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:27.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 BUG 14/2 14/2
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK -14/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:36.0 HINT HINT ES_02b ES_02-6 EG40 y = -14/2 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:37.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -14/2 strategic 2 OK rf -14/2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:45.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT In the above expression you have -14/2. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:46.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE To simplify, divide 2 into -14. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:49:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 5 ERROR 6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:50:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 6 ERROR -6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:50:07.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT -6 To simplify, divide 2 into -14. HINT 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:50:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 8 ERROR 2/-14 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:50:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 9 OK -7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:50:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1 = -6+(-7y) strategic 1 OK rds 1 = -6+(-7y) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:10.0 HINT HINT ES_02b ES_02-6 EG40 1 = -6-7y strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:11.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:15.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1 = -6-7y strategic 2 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:25.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1+6 = -6-7y+6 left 1 OK left 7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7 = -6-7y+6 right 1 OK right -6-7y+6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:36.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7 = -6-7y+6 strategic 1 OK clt -6-7y+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 1 OK -7y condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:46.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:50.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK -7y condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:51:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7 = -7y strategic 1 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:01.0 HINT HINT ES_02b ES_02-6 EG40 7 = -7y strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:01.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -7y is -7 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:05.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -7. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:10.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7 = -7y strategic 3 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7/-7 = -7y/-7 left 1 ERROR left 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:24.0 HINT HINT ES_02b ES_02-6 EG40 7/-7 = -7y/-7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:25.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Type in 7/-7 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:36.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7/-7 = -7y/-7 left 2 OK left 7/-7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:39.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7/-7 = -7y/-7 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7/-7 = y strategic 1 OK rf 7/-7 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:45.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT In the above expression you have 7/-7. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:46.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE To simplify, divide -7 into 7. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:50.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE Type -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:53.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 ERROR -14 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:52:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 4 OK -1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = 3x+1 strategic 1 ERROR subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = 3x+1 strategic 2 ERROR add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:25.0 HINT HINT ES_02b ES_02-6 EG40 -3 = 3x+1 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:26.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:29.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = 3x+1 strategic 4 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-1 = 3x+1-1 left 1 BUG left -2 -2 is equal to -3 plus 1. You need to calculate -3 minus 1. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-1 = 3x+1-1 left 2 BUG left 2 2 is equal to 3 minus 1. You need to calculate -3 minus 1. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:54.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-1 = 3x+1-1 left 3 BUG left -2 -2 is equal to -3 plus 1. You need to calculate -3 minus 1. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:57.0 HINT HINT ES_02b ES_02-6 EG40 -3-1 = 3x+1-1 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:53:58.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in -3-1 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-1 = 3x+1-1 left 4 OK left -3-1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-1 = 3x+1-1 right 1 OK right 3x+1-1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-1 = 3x+1-1 strategic 2 OK clt -3-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:24.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Simplify the expression [-3]+[-1]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:24.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:28.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Adding [-3]+[-1] yields -4. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK -4 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4 = 3x+1-1 strategic 1 OK clt 3x+1-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 1 OK 3x condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK 3x condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:54:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4 = 3x strategic 1 ERROR divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:01.0 HINT HINT ES_02b ES_02-6 EG40 -4 = 3x strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:02.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE 3x is 3 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:05.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE Divide both sides by 3. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:10.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4 = 3x strategic 3 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4/3 = 3x/3 left 1 ERROR left 1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4/3 = 3x/3 left 2 OK left -4/3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4/3 = 3x/3 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7+(-6x) = -6 strategic 1 OK rds 7+(-6x) = -6 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7-6x = -6 strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:55:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7-6x-7 = -6-7 left 1 OK left 7-6x-7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7-6x-7 = -6-7 right 1 BUG right 1 1 is equal to -6 plus 7. You need to calculate -6 minus 7. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:09.0 HINT HINT ES_02b ES_02-6 EG40 7-6x-7 = -6-7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:12.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in -6-7 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7-6x-7 = -6-7 right 2 OK right -6-7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:23.0 CYCLE CYCLE ES_02b ES_02-6 EG40 7-6x-7 = -6-7 strategic 2 OK clt 7-6x-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 1 OK -6x condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK -6x condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6x = -6-7 strategic 1 OK clt -6-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK -6-7 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:56:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6x = -6-7 strategic 2 OK clt -6-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:02.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Simplify the expression [-6]+[-7]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:03.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:07.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Adding [-6]+[-7] yields -13. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 4 OK -13 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6x = -13 strategic 1 ERROR divide x condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:28.0 HINT HINT ES_02b ES_02-6 EG40 -6x = -13 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:29.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE -6x is -6 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session2 2007-04-10 17:57:33.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -6. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:19:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6x = -13 strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:19:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6x/-6 = -13/-6 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:20:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -13/-6 right 1 OK right -13/-6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:20:47.0 HINT HINT ES_02b ES_02-6 EG40 x = -13/-6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:20:48.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:20:52.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:20:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -13/-6 strategic 2 BUG rds x = -13/-6 strategic Simplify the fraction -13/-6. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:21:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -13/-6 strategic 3 OK rf -13/-6 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:21:09.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 ERROR 13-6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:21:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK 13/6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:22:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+(-5x) = 9 strategic 1 OK rds -1+(-5x) = 9 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:22:37.0 HINT HINT ES_02b ES_02-6 EG40 -1-5x = 9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:22:38.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:22:42.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:22:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x = 9 strategic 2 BUG add -1 To remove -1 from the left side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:22:57.0 HINT HINT ES_02b ES_02-6 EG40 -1-5x = 9 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:22:58.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:23:02.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:23:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x = 9 strategic 4 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:23:49.0 HINT HINT ES_02b ES_02-6 EG40 -1-5x+1 = 9+1 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:23:49.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Type in -1-5x+1 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:08.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x+1 = 9+1 left 1 OK left -1-5x+1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x+1 = 9+1 right 1 OK right 10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:15.0 HINT HINT ES_02b ES_02-6 EG40 -1-5x+1 = 10 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:16.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x+1 = 10 strategic 2 OK clt -1-5x+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 1 BUG -1 -1
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 2 BUG 5x 5x
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:48.0 HINT HINT ES_02b ES_02-6 EG40 xR2 strategic 3 INITIAL_HINT 5x From the original equation at the top, select -5x and drag it to the x box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:24:56.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 4 BUG 5 5
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:25:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 5 BUG 6x 6x
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:25:10.0 HINT HINT ES_02b ES_02-6 EG40 xR2 strategic 6 INITIAL_HINT 6x From the original equation at the top, select -5x and drag it to the x box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:25:24.0 HINT HINT ES_02b ES_02-6 EG40 xR2 strategic 7 INITIAL_HINT 6x From the original equation at the top, select -5x and drag it to the x box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:25:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 8 BUG 1 1
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:25:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 9 BUG -1 -1
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:25:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 10 BUG -1-5x -1-5x
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:25:53.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 BUG 0 0
Perhaps you should fill in all the x terms above. BUG condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:26:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 11 BUG -1 -1
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:26:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 12 BUG 5 5
Perhaps you should fill in all the x terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:27:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x+1 = 10 strategic 3 ERROR mt -1-5x+1 = 10 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:27:54.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x+1 = 10 strategic 4 OK clt -1-5x+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:29:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-5x+1 = 10 strategic 5 OK clt -1-5x+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:29:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 2 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:29:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 13 OK -5x condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:29:46.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK -5x condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5x = 10 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5x/-5 = 10/-5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = 10/-5 right 1 BUG right 2 You are dividing a positive by a negative. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:08.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = 10/-5 right 2 OK right -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+9x = -9 strategic 1 ERROR clt -1+9x = -9 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:28.0 HINT HINT ES_02b ES_02-6 EG40 -1+9x = -9 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:29.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:32.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+9x = -9 strategic 3 BUG add -1 To remove -1 from the left side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:52.0 HINT HINT ES_02b ES_02-6 EG40 -1+9x = -9 strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:53.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:30:56.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+9x = -9 strategic 5 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+9x+1 = -9+1 left 1 OK left -1+9x+1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:25.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+9x+1 = -9+1 right 1 OK right -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+9x+1 = -8 strategic 1 OK clt -1+9x+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 xR2 strategic 1 OK 9x condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:39.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK 9x condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:31:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9x = -8 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:32:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9x/9 = -8/9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:32:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -8/9 right 1 ERROR right 1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:32:07.0 HINT HINT ES_02b ES_02-6 EG40 x = -8/9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:32:10.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Type in -8/9 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:32:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -8/9 right 2 OK right -8/9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:32:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1 = 8+(-9y) strategic 1 OK rds 1 = 8+(-9y) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:02.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1 = 8-9y strategic 1 ERROR clt 1 = 8-9y strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:09.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1 = 8-9y strategic 2 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:13.0 HINT HINT ES_02b ES_02-6 EG40 1 = 8-9y strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:14.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:26.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1 = 8-9y strategic 4 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:39.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1-8 = 8-9y-8 left 1 OK left 1-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1-8 = 8-9y-8 right 1 ERROR right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:48.0 HINT HINT ES_02b ES_02-6 EG40 1-8 = 8-9y-8 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:33:49.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 8-9y-8 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:00.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1-8 = 8-9y-8 right 2 OK right 8-9y-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1-8 = 8-9y-8 strategic 2 OK clt 1-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:10.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Simplify the expression [1]+[-8]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:12.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:19.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Adding [1]+[-8] yields -7. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 ERROR 1+ condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 ERROR 1+(-8)-7 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:34:55.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT 1+(-8)-7 Adding [1]+[-8] yields -7. HINT 3 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 5 OK -7 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7 = 8-9y-8 strategic 1 OK clt 8-9y-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 1 BUG 9y 9y
Perhaps you should fill in all the y terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:24.0 HINT HINT ES_02b ES_02-6 EG40 yR2 strategic 2 INITIAL_HINT 9y From the original equation at the top, select -9y and drag it to the y box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:26.0 HINT HINT ES_02b ES_02-6 EG40 yR2 strategic 3 INITIAL_HINT 9y From the original equation at the top, select -9y and drag it to the y box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:26.0 HINT HINT ES_02b ES_02-6 EG40 yR2 strategic 4 INITIAL_HINT 9y From the original equation at the top, select -9y and drag it to the y box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:27.0 HINT HINT ES_02b ES_02-6 EG40 yR2 strategic 5 INITIAL_HINT 9y From the original equation at the top, select -9y and drag it to the y box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:27.0 HINT HINT ES_02b ES_02-6 EG40 yR2 strategic 6 INITIAL_HINT 9y From the original equation at the top, select -9y and drag it to the y box above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 7 BUG 1 1
Perhaps you should fill in all the y terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:35:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 8 BUG y y
Perhaps you should fill in all the y terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 9 BUG -9yu -9yu
Perhaps you should fill in all the y terms above. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:09.0 CYCLE CYCLE ES_02b ES_02-6 EG40 yR2 strategic 10 OK -9y condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 6 OK -9y condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -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 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:25.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7 = -9y strategic 2 ERROR divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:27.0 HINT HINT ES_02b ES_02-6 EG40 -7 = -9y strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:28.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE -9y is -9 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:31.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE Divide both sides by -9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:39.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7 = -9y strategic 4 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7/-9 = -9y/-9 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:48.0 HINT HINT ES_02b ES_02-6 EG40 -7/-9 = y strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:49.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE Type in -7/-9 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:36:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7/-9 = y left 1 OK left -7/-9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:37:02.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7/-9 = y strategic 2 OK rf -7/-9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:37:08.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT In the above expression you have -7/-9. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:37:08.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 9 HINT_LEVEL_CHANGE To simplify, divide -9 into -7. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:37:12.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 10 HINT_LEVEL_CHANGE Type 7/9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:37:17.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 8 OK 7/9 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:39:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10+(-9) = 5 strategic 1 OK rds x/10+(-9) = 5 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:39:49.0 HINT HINT ES_02b ES_02-7 EG41 x/10-9 = 5 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:39:50.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:39:54.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10-9 = 5 strategic 2 OK add 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10-9+9 = 5+9 strategic 1 OK clt x/10-9+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10 = 5+9 strategic 1 OK clt 5+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:17.0 HINT HINT ES_02b ES_02-7 EG41 x/10 = 14 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:18.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In x/10, x is divided by 10. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:22.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 10. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10 = 14 strategic 2 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10*10 = 14*10 strategic 1 OK mt x/10*10 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:40:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 14*10 strategic 1 OK mt 14*10 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9+(-6) = 0 strategic 1 OK rf x/-9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9+(-6) = 0 strategic 2 OK rds x/-9+(-6) = 0 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:26.0 HINT HINT ES_02b ES_02-7 EG41 x/-9-6 = 0 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:26.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:32.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9-6 = 0 strategic 2 OK rf x/-9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:45.0 HINT HINT ES_02b ES_02-7 EG41 -x/9-6 = 0 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:41:48.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:42:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9-6 = 0 strategic 2 OK add 6 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:42:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9-6+6 = 0+6 strategic 1 OK clt -x/9-6+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:42:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = 0+6 strategic 1 OK clt 0+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:42:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = 6 strategic 1 ERROR mt -x/9 = 6 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:42:22.0 HINT HINT ES_02b ES_02-7 EG41 -x/9 = 6 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:42:23.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:42:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:43:49.0 HINT HINT ES_02b ES_02-7 EG41 -x/9 = 6 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:43:50.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:43:55.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:44:00.0 HINT HINT ES_02b ES_02-7 EG41 -x/9 = 6 strategic 4 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = 6 strategic 5 ERROR rf -x/9 = 6 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:11.0 HINT HINT ES_02b ES_02-7 EG41 -x/9 = 6 strategic 6 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:12.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:16.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 10 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = 6 strategic 7 ERROR multiply -1/9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:32.0 HINT HINT ES_02b ES_02-7 EG41 -x/9 = 6 strategic 8 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:33.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 11 HINT_LEVEL_CHANGE In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:37.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 12 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:45:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = 6 strategic 9 ERROR mt -x/9 = 6 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = 6 strategic 10 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9*9 = 6*9 strategic 1 OK mt -x/9*9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9x/9 = 6*9 strategic 1 OK mt 6*9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:15.0 HINT HINT ES_02b ES_02-7 EG41 -9x/9 = 54 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:16.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 13 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9x/9 = 54 strategic 2 OK rf -9x/9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x = 54 strategic 1 ERROR rds -x = 54 strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:31.0 HINT HINT ES_02b ES_02-7 EG41 -x = 54 strategic 2 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:31.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 14 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:34.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 15 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x = 54 strategic 3 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:52.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/-1 = 54/-1 strategic 1 OK rf -x/-1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:46:52.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 54/-1 strategic 1 OK rf 54/-1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:47:24.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+(x/-2) = -6 strategic 1 BUG rds -3+(x/-2) = -6 strategic Simplify the fraction x/-2. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:47:31.0 HINT HINT ES_02b ES_02-7 EG41 -3+(x/-2) = -6 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:47:32.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:47:36.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:47:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+(x/-2) = -6 strategic 3 OK rf x/-2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+(-x/2) = -6 strategic 1 OK rds -3+(-x/2) = -6 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:05.0 HINT HINT ES_02b ES_02-7 EG41 -3-x/2 = -6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:06.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:10.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3-x/2 = -6 strategic 2 OK add 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3-x/2+3 = -6+3 strategic 1 OK clt -3-x/2+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/2 = -6+3 strategic 1 OK clt -6+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/2 = -3 strategic 1 ERROR rf -x/2 = -3 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:28.0 HINT HINT ES_02b ES_02-7 EG41 -x/2 = -3 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:30.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In -x/2, x is multiplied by -1/2. How do you change the -1/2 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:34.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Multiplying something by its reciprocal changes it into 1. Multiply both sides by -2/1, which is the same as mulitplying by -2. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/2 = -3 strategic 3 OK multiply -2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/2*(-2/1) = -3*(-2/1) strategic 1 OK mt -x/2*(-2/1) condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:48:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -3*(-2/1) strategic 1 OK mt -3*(-2/1) condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 6/1 strategic 1 OK rf 6/1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:22.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -5+(x/-8) strategic 1 BUG rds 7 = -5+(x/-8) strategic Simplify the fraction x/-8. BUG condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:33.0 HINT HINT ES_02b ES_02-7 EG41 7 = -5+(x/-8) strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:35.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:38.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -5+(x/-8) strategic 3 OK rf x/-8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:47.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -5+(-x/8) strategic 1 OK rds 7 = -5+(-x/8) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:49:59.0 HINT HINT ES_02b ES_02-7 EG41 7 = -5-x/8 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:00.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:03.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE You can add 5 to both sides of the equation to eliminate the constant value of -5 (-5 + 5 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -5-x/8 strategic 2 OK add 5 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7+5 = -5-x/8+5 strategic 1 OK clt 7+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 12 = -5-x/8+5 strategic 1 OK clt -5-x/8+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:18.0 CYCLE CYCLE ES_02b ES_02-7 EG41 12 = -x/8 strategic 1 ERROR rf 12 = -x/8 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 12 = -x/8 strategic 2 ERROR mt 12 = -x/8 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 12 = -x/8 strategic 3 ERROR divide 8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:41.0 HINT HINT ES_02b ES_02-7 EG41 12 = -x/8 strategic 4 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:42.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In -x/8, x is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:50:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 12 = -x/8 strategic 5 OK multiply -8 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 12*(-8/1) = -x/8*(-8/1) strategic 1 ERROR clt 12*(-8/1) = -x/8*(-8/1) strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 12*(-8/1) = -x/8*(-8/1) strategic 2 OK mt 12*(-8/1) condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:21.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -96/1 = -x/8*(-8/1) strategic 1 OK mt -x/8*(-8/1) condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -96/1 = x strategic 1 OK rf -96/1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+(x/-9) = 1 strategic 1 OK rf x/-9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+(-x/9) = 1 strategic 1 OK rds 5+(-x/9) = 1 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:57.0 HINT HINT ES_02b ES_02-7 EG41 5-x/9 = 1 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:51:57.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:01.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-x/9 = 1 strategic 2 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:20.0 HINT HINT ES_02b ES_02-7 EG41 5-x/9 = 1 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:20.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:25.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-x/9 = 1 strategic 4 OK subtract 5 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-x/9-5 = 1-5 strategic 1 OK clt 5-x/9-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = 1-5 strategic 1 OK clt 1-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:46.0 HINT HINT ES_02b ES_02-7 EG41 -x/9 = -4 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:47.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:52:54.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9 = -4 strategic 2 OK multiply -9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9*(-9/1) = -4*(-9/1) strategic 1 OK mt -x/9*(-9/1) condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -4*(-9/1) strategic 1 OK mt -4*(-9/1) condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 36/1 strategic 1 OK rf 36/1 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-3) = 2 strategic 1 OK rds y/7+(-3) = 2 strategic condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7-3 = 2 strategic 1 ERROR rf y/7-3 = 2 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:46.0 HINT HINT ES_02b ES_02-7 EG41 y/7-3 = 2 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:47.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:53:50.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:54:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7-3 = 2 strategic 3 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7-3+3 = 2+3 strategic 1 OK clt y/7-3+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = 2+3 strategic 1 OK clt 2+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:25.0 HINT HINT ES_02b ES_02-7 EG41 y/7 = 5 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:26.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In y/7, y is divided by 7. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:30.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 7. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = 5 strategic 2 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7*7 = 5*7 strategic 1 OK mt y/7*7 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:46.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 5*7 strategic 1 OK mt 5*7 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:55:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -6+y/9 strategic 1 ERROR rf 7 = -6+y/9 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -6+y/9 strategic 2 ERROR clt 7 = -6+y/9 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:07.0 HINT HINT ES_02b ES_02-7 EG41 7 = -6+y/9 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:08.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:17.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -6+y/9 strategic 4 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7+6 = -6+y/9+6 strategic 1 OK clt 7+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 13 = -6+y/9+6 strategic 1 OK clt -6+y/9+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:40.0 HINT HINT ES_02b ES_02-7 EG41 13 = y/9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:40.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In y/9, y is divided by 9. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:43.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 13 = y/9 strategic 2 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 13*9 = y/9*9 strategic 1 OK mt 13*9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171qw87d session3 2007-04-17 17:56:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 117 = y/9*9 strategic 1 OK mt y/9*9 condition 2 goldenvalleyselfexplanation-27051 171fN40L--7--es02b
171s6dHT session0 2007-03-22 16:35:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3+8x = 7 strategic 1 BUG add 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:36:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3+8x = 7 strategic 2 BUG subtract 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:36:10.0 HINT HINT ES_02b ES_02-5 EG40 -3+8x = 7 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:36:12.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:36:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3+8x = 7 strategic 4 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:36:43.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3+8x+3 = 7+3 strategic 1 OK clt -3+8x+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:36:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x = 7+3 strategic 1 OK clt 7+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:36:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x = 10 strategic 1 BUG subtract 10 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:37:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x = 10 strategic 2 BUG subtract 8 In 8x, x is multiplied by 8. How do you undo multiplication? BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:37:43.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x = 10 strategic 3 ERROR divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:37:52.0 HINT HINT ES_02b ES_02-5 EG40 8x = 10 strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:37:53.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE 8x is 8 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:37:57.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Divide both sides by 8. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:38:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x = 10 strategic 5 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:38:09.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x/8 = 10/8 strategic 1 OK rf 8x/8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:38:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 x = 10/8 strategic 1 OK rf 10/8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:38:18.0 CYCLE CYCLE ES_02b ES_02-5 EG40 x = 5/4 strategic 1 BUG rf x = 5/4 strategic You already solved the equation. x is 5/4. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:38:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1+(-9x) strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:38:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1+(-9x) strategic 2 ERROR subtract 9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:01.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1+(-9x) strategic 3 ERROR add 9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:04.0 HINT HINT ES_02b ES_02-5 EG40 4 = -1+(-9x) strategic 4 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:05.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1+(-9x) strategic 5 OK rds 4 = -1+(-9x) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1-9x strategic 1 ERROR add 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:34.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1-9x strategic 2 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:43.0 HINT HINT ES_02b ES_02-5 EG40 4-4 = -1-9x-4 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:46.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1-9x strategic 3 ERROR clt 4 = -1-9x strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:54.0 HINT HINT ES_02b ES_02-5 EG40 4 = -1-9x strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:55.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:39:58.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:40:11.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -1-9x strategic 5 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:40:16.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4+1 = -1-9x+1 strategic 1 OK clt -1-9x+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:40:24.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4+1 = -9x strategic 1 BUG subtract 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:40:32.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4+1 = -9x strategic 2 OK clt 4+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:40:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = -9x strategic 1 ERROR subtract 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:40:49.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = -9x strategic 2 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:40:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5-5 = -9x-5 strategic 1 BUG add 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:41:06.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = -9x strategic 3 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:41:12.0 HINT HINT ES_02b ES_02-5 EG40 5 = -9x strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:41:13.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 5 HINT_LEVEL_CHANGE -9x is -9 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:41:16.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:41:25.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = -9x strategic 5 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:41:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5/-9 = -9x/-9 strategic 1 OK rf -9x/-9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:41:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5/-9 = x strategic 1 OK rf 5/-9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:42:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5+(-10y) = 4 strategic 1 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:42:34.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5+(-10y)+5 = 4+5 strategic 1 OK clt -5+(-10y)+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:42:41.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10y = 4+5 strategic 1 OK clt 4+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:42:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10y = 9 strategic 1 BUG subtract 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:43:12.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10y = 9 strategic 2 BUG add 10 In -10y, y is multiplied by -10. How do you undo multiplication? BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:43:35.0 HINT HINT ES_02b ES_02-5 EG40 -10y = 9 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:43:37.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -10y is -10 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:43:41.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -10. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:43:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10y = 9 strategic 4 OK divide -10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:43:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10y/-10 = 9/-10 strategic 1 OK rf -10y/-10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:43:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = 9/-10 strategic 1 OK rf 9/-10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:44:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = 5+10x strategic 1 ERROR subtract 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:44:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = 5+10x strategic 2 BUG subtract 9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:44:43.0 HINT HINT ES_02b ES_02-5 EG40 9 = 5+10x strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:44:44.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:44:47.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:44:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = 5+10x strategic 4 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9-5 = 5+10x-5 strategic 1 OK clt 5+10x-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9-5 = 10x strategic 1 OK clt 9-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:29.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = 10x strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = 10x strategic 2 BUG subtract 10 In 10x, x is multiplied by 10. How do you undo multiplication? BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:45.0 HINT HINT ES_02b ES_02-5 EG40 4 = 10x strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:46.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE 10x is 10 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:49.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by 10. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:45:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = 10x strategic 4 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:46:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4/10 = 10x/10 strategic 1 OK rf 10x/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:46:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4/10 = x strategic 1 OK rf 4/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:46:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = 3+(-3x) strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:46:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9-3 = 3+(-3x)-3 strategic 1 OK clt 3+(-3x)-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:01.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9-3 = -3x strategic 1 OK clt 9-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6 = -3x strategic 1 BUG add 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6 = -3x strategic 2 BUG subtract 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:24.0 HINT HINT ES_02b ES_02-5 EG40 6 = -3x strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:25.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -3x is -3 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:32.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -3. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:37.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6 = -3x strategic 4 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6/-3 = -3x/-3 strategic 1 OK rf -3x/-3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:47:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6/-3 = x strategic 1 OK rf 6/-3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:05.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = 4y+7 strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:10.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5-7 = 4y+7-7 strategic 1 OK clt 4y+7-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:14.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5-7 = 4y strategic 1 OK clt 5-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2 = 4y strategic 1 ERROR add 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2 = 4y strategic 2 BUG subtract 4 In 4y, y is multiplied by 4. How do you undo multiplication? BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:51.0 HINT HINT ES_02b ES_02-5 EG40 -2 = 4y strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:52.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE 4y is 4 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:55.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by 4. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:48:59.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2 = 4y strategic 4 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:49:07.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2/4 = 4y/4 strategic 1 OK rf 4y/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:49:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -2/4 = y strategic 1 OK rf -2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:06.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y+(-7) = 2 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:12.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y+(-7)+7 = 2+7 strategic 1 OK clt -5y+(-7)+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y = 2+7 strategic 1 OK clt 2+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y = 9 strategic 1 BUG subtract 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:44.0 HINT HINT ES_02b ES_02-5 EG40 -5y = 9 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:45.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -5y is -5 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:49.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -5. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:50:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y = 9 strategic 3 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:01.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5y/-5 = 9/-5 strategic 1 OK rf -5y/-5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:04.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = 9/-5 strategic 1 OK rf 9/-5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:24.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -4+(-6y) = 1 strategic 1 BUG subtract 1 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:31.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -4+(-6y) = 1 strategic 2 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:37.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -4+(-6y)+4 = 1+4 strategic 1 OK clt -4+(-6y)+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -6y = 1+4 strategic 1 OK clt 1+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -6y = 5 strategic 1 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:52.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -6y = 5 strategic 2 BUG divide 6 In this equation, y is multiplied by -6. Dividing by 6 leaves -y, so you still need to remove the negative sign. It is better to divide by -6, since that would leave y. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:57.0 HINT HINT ES_02b ES_02-5 EG40 -6y = 5 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:51:58.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -6y is -6 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:02.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Divide both sides by -6. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:07.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -6y = 5 strategic 4 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:12.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -6y/-6 = 5/-6 strategic 1 OK rf -6y/-6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:15.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = 5/-6 strategic 1 OK rf 5/-6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = -2x+(-4) strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5+4 = -2x+(-4)+4 strategic 1 OK clt -2x+(-4)+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5+4 = -2x strategic 1 OK clt 5+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:52.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = -2x strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9/-2 = -2x/-2 strategic 1 OK rf -2x/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:52:59.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9/-2 = x strategic 1 OK rf 9/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:53:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2 = -6+(-5x) strategic 1 BUG subtract 2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:53:30.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2 = -6+(-5x) strategic 2 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:53:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2+6 = -6+(-5x)+6 strategic 1 OK clt -6+(-5x)+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:53:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2+6 = -5x strategic 1 OK clt 2+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:53:43.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8 = -5x strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:53:48.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8/-5 = -5x/-5 strategic 1 OK rf -5x/-5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:53:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8/-5 = x strategic 1 OK rf 8/-5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:54:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5 = 2y+(-2) strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:54:18.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5+2 = 2y+(-2)+2 strategic 1 OK clt 2y+(-2)+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:54:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5+2 = 2y strategic 1 OK clt 5+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:54:25.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7 = 2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:54:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7/2 = 2y/2 strategic 1 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session0 2007-03-22 16:54:30.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7/2 = y strategic 1 BUG rf 7/2 = y strategic You already solved the equation. y is 7/2. BUG condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:28:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+(-7y) = -4 strategic 1 ERROR clt -1+(-7y) = -4 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+(-7y) = -4 strategic 2 ERROR add 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:17.0 HINT HINT ES_02b ES_02-6 EG40 -1+(-7y) = -4 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:18.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:23.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+(-7y) = -4 strategic 4 OK rds -1+(-7y) = -4 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-7y = -4 strategic 1 ERROR add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-7y = -4 strategic 2 ERROR add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:45.0 HINT HINT ES_02b ES_02-6 EG40 -1-7y = -4 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:47.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:49.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:29:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-7y = -4 strategic 4 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:30:12.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4+1 = -1-7y+1 left 1 OK left -3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:30:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = -1-7y+1 right 1 OK right -7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:30:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = -7y strategic 1 ERROR add 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:30:34.0 HINT HINT ES_02b ES_02-6 EG40 -3 = -7y strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:30:35.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE -7y is -7 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:30:40.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -7. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:30:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = -7y strategic 3 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:31:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = -7y/-7 left 1 OK left -3/-7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:31:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = -7y/-7 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:31:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 1 BUG rds -3/-7 = y strategic Simplify the fraction -3/-7. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:31:23.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 2 OK rf -3/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:31:50.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 ERROR -10 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:31:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK -3/-7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:32:08.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 3 OK rf -3/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:32:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK -3/-7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:32:30.0 HINT HINT ES_02b ES_02-6 EG40 -3/-7 = y strategic 4 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:32:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 5 OK rf -3/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:32:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 4 OK -3/-7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:32:59.0 HINT HINT ES_02b ES_02-6 EG40 -3/-7 = y strategic 6 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:00.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:03.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 7 OK rf -3/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 5 OK -3/-7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:44.0 HINT HINT ES_02b ES_02-6 EG40 -3/-7 = y strategic 8 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:46.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:50.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 9 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:33:57.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 10 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:34:00.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 11 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:34:04.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 9 OK rf -3/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:34:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 6 BUG -3/7 -3/7
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:34:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 7 OK -3/-7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:34:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 10 BUG rds -3/-7 = y strategic Simplify the fraction -3/-7. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:34:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 11 OK rf -3/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:35:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 8 OK -3/-7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:35:10.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-7 = y strategic 12 OK rf -3/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:35:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 9 ERROR -10 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:35:24.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 10 INITIAL_HINT -10 In the above expression you have -3/-7. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:35:30.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 12 HINT_LEVEL_CHANGE To simplify, divide -7 into -3. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:35:35.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 13 HINT_LEVEL_CHANGE Type 3/7. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:35:44.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 11 OK 3/7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:21.0 HINT HINT ES_02b ES_02-7 EG41 -4 = 6+(y/-2) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:22.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:25.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = 6+(y/-2) strategic 2 OK rf y/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:39.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = 6+(-y/2) strategic 1 OK rds -4 = 6+(-y/2) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = 6+(y/-2) strategic 3 BUG rds -4 = 6+(y/-2) strategic Simplify the fraction y/-2. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = 6+(y/-2) strategic 4 OK rf y/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:38:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = 6+(-y/2) strategic 2 OK rds -4 = 6+(-y/2) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:08.0 HINT HINT ES_02b ES_02-7 EG41 -4 = 6-y/2 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:09.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:13.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE You can subtract 6 from both sides of the equation to eliminate the constant value of 6 (6 - 6 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:21.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = 6-y/2 strategic 2 OK subtract 6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:28.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4-6 = 6-y/2-6 strategic 1 OK clt 6-y/2-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4-6 = -y/2 strategic 1 OK clt -4-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:41.0 HINT HINT ES_02b ES_02-7 EG41 -10 = -y/2 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:43.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In -y/2, y is multiplied by -1/2. How do you change the -1/2 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:39:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Multiplying something by its reciprocal changes it into 1. Multiply both sides by -2/1, which is the same as mulitplying by -2. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10 = -y/2 strategic 2 ERROR mt -10 = -y/2 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:11.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10 = -y/2 strategic 3 OK multiply 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10*2 = -y/2*2 strategic 1 OK mt -y/2*2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10*2 = -2y/2 strategic 1 OK mt -10*2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:27.0 HINT HINT ES_02b ES_02-7 EG41 -20 = -2y/2 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:27.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:33.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -20 = -2y/2 strategic 2 OK rf -2y/2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -20 = -y strategic 1 ERROR add 20 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:47.0 HINT HINT ES_02b ES_02-7 EG41 -20 = -y strategic 2 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:49.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:40:52.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:41:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -20 = -y strategic 3 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:41:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -20/-1 = -y/-1 strategic 1 OK rf -y/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:41:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -20/-1 = y strategic 1 BUG rds -20/-1 = y strategic Simplify the fraction -20/-1. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:41:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -20/-1 = y strategic 2 OK rf -20/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:04.0 HINT HINT ES_02b ES_02-7 EG41 -1 = y/8+1 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:05.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:09.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1 = y/8+1 strategic 2 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:22.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1-1 = y/8+1-1 strategic 1 OK clt y/8+1-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1-1 = y/8 strategic 1 OK clt -1-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:31.0 HINT HINT ES_02b ES_02-7 EG41 -2 = y/8 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:32.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In y/8, y is divided by 8. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:36.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 8. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2 = y/8 strategic 2 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2*8 = y/8*8 strategic 1 OK mt y/8*8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:42:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2*8 = y strategic 1 OK mt -2*8 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:43:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7+x/8 = -4 strategic 1 ERROR add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:43:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7+x/8 = -4 strategic 2 ERROR subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:43:45.0 HINT HINT ES_02b ES_02-7 EG41 7+x/8 = -4 strategic 3 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:43:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:43:49.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:43:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7+x/8 = -4 strategic 4 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7+x/8-7 = -4-7 strategic 1 OK clt 7+x/8-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8 = -4-7 strategic 1 OK clt -4-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:18.0 HINT HINT ES_02b ES_02-7 EG41 x/8 = -11 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:20.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In x/8, x is divided by 8. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:23.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 8. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:28.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8 = -11 strategic 2 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8*8 = -11*8 strategic 1 OK mt x/8*8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:44:35.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -11*8 strategic 1 OK mt -11*8 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:45:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = 1+(y/-4) strategic 1 BUG rds 5 = 1+(y/-4) strategic Simplify the fraction y/-4. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:45:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = 1+(y/-4) strategic 2 OK rf y/-4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:45:11.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = 1+(-y/4) strategic 1 OK rds 5 = 1+(-y/4) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:45:45.0 HINT HINT ES_02b ES_02-7 EG41 5 = 1-y/4 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:45:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:45:49.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:45:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = 1-y/4 strategic 2 OK subtract 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-1 = 1-y/4-1 strategic 1 OK clt 1-y/4-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-1 = -y/4 strategic 1 OK clt 5-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:11.0 CYCLE CYCLE ES_02b ES_02-7 EG41 4 = -y/4 strategic 1 OK multiply 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 4*4 = -y/4*4 strategic 1 OK mt 4*4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 16 = -y/4*4 strategic 1 OK mt -y/4*4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:27.0 HINT HINT ES_02b ES_02-7 EG41 16 = -4y/4 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:28.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:33.0 CYCLE CYCLE ES_02b ES_02-7 EG41 16 = -4y/4 strategic 2 OK rf -4y/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:41.0 HINT HINT ES_02b ES_02-7 EG41 16 = -y strategic 1 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:42.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:52.0 CYCLE CYCLE ES_02b ES_02-7 EG41 16 = -y strategic 2 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 16/-1 = -y/-1 strategic 1 OK rf 16/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:46:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -y/-1 strategic 1 OK rf -y/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:18.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8+(x/-10) = -7 strategic 1 OK rf x/-10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8+(-x/10) = -7 strategic 1 OK rds 8+(-x/10) = -7 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:38.0 HINT HINT ES_02b ES_02-7 EG41 8-x/10 = -7 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:39.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:47.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8-x/10 = -7 strategic 2 OK subtract 8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8-x/10-8 = -7-8 strategic 1 OK clt 8-x/10-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:47:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/10 = -7-8 strategic 1 OK clt -7-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:11.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/10 = -15 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/10*10 = -15*10 strategic 1 OK mt -x/10*10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10x/10 = -15*10 strategic 1 OK mt -15*10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10x/10 = -150 strategic 1 OK rf -10x/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x = -150 strategic 1 ERROR multiply 1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x*1 = -150*1 strategic 1 OK unnec-elems -x*1=-150*1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:42.0 HINT HINT ES_02b ES_02-7 EG41 -10x/10 = -150 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:44.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:49.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10x/10 = -150 strategic 3 OK rf -10x/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:54.0 HINT HINT ES_02b ES_02-7 EG41 -x = -150 strategic 2 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:55.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:48:58.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x = -150 strategic 3 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/-1 = -150/-1 strategic 1 OK rf -x/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:10.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -150/-1 strategic 1 OK rf -150/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:35.0 HINT HINT ES_02b ES_02-7 EG41 -2 = x/10+(-6) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:37.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2 = x/10+(-6) strategic 2 OK rds -2 = x/10+(-6) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:47.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2 = x/10-6 strategic 1 ERROR rf -2 = x/10-6 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:52.0 HINT HINT ES_02b ES_02-7 EG41 -2 = x/10-6 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:53.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:49:57.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2 = x/10-6 strategic 3 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2+6 = x/10-6+6 strategic 1 OK clt -2+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 4 = x/10-6+6 strategic 1 OK clt x/10-6+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 4 = x/10 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 4*10 = x/10*10 strategic 1 OK mt 4*10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 40 = x/10*10 strategic 1 OK mt x/10*10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:49.0 HINT HINT ES_02b ES_02-7 EG41 2+x/6 = 9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:50.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:50:53.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2+x/6 = 9 strategic 2 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2+x/6-2 = 9-2 strategic 1 OK clt 2+x/6-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/6 = 9-2 strategic 1 OK clt 9-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/6 = 7 strategic 1 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/6*6 = 7*6 strategic 1 OK mt x/6*6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 7*6 strategic 1 OK mt 7*6 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:45.0 HINT HINT ES_02b ES_02-7 EG41 -2 = x/8+3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:46.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:50.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:51:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2 = x/8+3 strategic 2 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2-3 = x/8+3-3 strategic 1 OK clt -2-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5 = x/8+3-3 strategic 1 OK clt x/8+3-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5 = x/8 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5*8 = x/8*8 strategic 1 OK mt -5*8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -40 = x/8*8 strategic 1 OK mt x/8*8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:33.0 HINT HINT ES_02b ES_02-7 EG41 y/-10+(-4) = 6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:34.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/-10+(-4) = 6 strategic 2 OK rds y/-10+(-4) = 6 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:39.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/-10-4 = 6 strategic 1 OK rf y/-10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:44.0 HINT HINT ES_02b ES_02-7 EG41 -y/10-4 = 6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:45.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:49.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:52:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/10-4 = 6 strategic 2 OK add 4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/10-4+4 = 6+4 strategic 1 OK clt -y/10-4+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/10 = 6+4 strategic 1 OK clt 6+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/10 = 10 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/10*10 = 10*10 strategic 1 OK mt -y/10*10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10y/10 = 10*10 strategic 1 OK mt 10*10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:20.0 HINT HINT ES_02b ES_02-7 EG41 -10y/10 = 100 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:21.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10y/10 = 100 strategic 2 OK rf -10y/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:32.0 HINT HINT ES_02b ES_02-7 EG41 -y = 100 strategic 1 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:33.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:34.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:39.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y = 100 strategic 2 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/-1 = 100/-1 strategic 1 OK rf -y/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:53:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 100/-1 strategic 1 OK rf 100/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:54:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8+(y/-8) = 0 strategic 1 BUG rds -8+(y/-8) = 0 strategic Simplify the fraction y/-8. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:54:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8+(y/-8) = 0 strategic 2 OK rf y/-8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:54:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8+(-y/8) = 0 strategic 1 OK rds -8+(-y/8) = 0 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:54:29.0 HINT HINT ES_02b ES_02-7 EG41 -8-y/8 = 0 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:54:30.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:54:38.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:54:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8-y/8 = 0 strategic 2 OK add 8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8-y/8+8 = 0+8 strategic 1 OK clt -8-y/8+8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/8 = 0+8 strategic 1 OK clt 0+8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:09.0 HINT HINT ES_02b ES_02-7 EG41 -y/8 = 8 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:10.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In -y/8, y is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:13.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/8 = 8 strategic 2 OK multiply -8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/8*(-8/1) = 8*(-8/1) strategic 1 OK mt -y/8*(-8/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 8*(-8/1) strategic 1 OK mt 8*(-8/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -64/1 strategic 1 BUG rds y = -64/1 strategic Simplify the fraction -64/1. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:55:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -64/1 strategic 2 OK rf -64/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9+(y/-6) = 6 strategic 1 BUG rds -9+(y/-6) = 6 strategic Simplify the fraction y/-6. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9+(y/-6) = 6 strategic 2 OK rf y/-6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:18.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9+(-y/6) = 6 strategic 1 OK rds -9+(-y/6) = 6 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:40.0 HINT HINT ES_02b ES_02-7 EG41 -9-y/6 = 6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:41.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:44.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9-y/6 = 6 strategic 2 OK add 9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9-y/6+9 = 6+9 strategic 1 OK clt -9-y/6+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session1 2007-03-26 16:56:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/6 = 6+9 strategic 1 OK clt 6+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:33:23.0 HINT HINT ES_02b ES_02-7 EG41 -y/6 = 15 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:33:24.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE In -y/6, y is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:33:28.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:33:46.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/6 = 15 strategic 2 OK multiply -6/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:33:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/6*(-6/1) = 15*(-6/1) strategic 1 OK mt -y/6*(-6/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:33:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 15*(-6/1) strategic 1 OK mt 15*(-6/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -90/1 strategic 1 OK rf -90/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:29.0 HINT HINT ES_02b ES_02-7 EG41 -5 = x/-8+7 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:30.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:33.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5 = x/-8+7 strategic 2 OK rf x/-8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:44.0 HINT HINT ES_02b ES_02-7 EG41 -5 = -x/8+7 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:45.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:34:49.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5 = -x/8+7 strategic 2 OK subtract 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5-7 = -x/8+7-7 strategic 1 OK clt -5-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -12 = -x/8+7-7 strategic 1 OK clt -x/8+7-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:13.0 HINT HINT ES_02b ES_02-7 EG41 -12 = -x/8 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:16.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In -x/8, x is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:20.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -12 = -x/8 strategic 2 OK multiply -8/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -12*(-8/1) = -x/8*(-8/1) strategic 1 OK mt -12*(-8/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 96/1 = -x/8*(-8/1) strategic 1 OK mt -x/8*(-8/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 96/1 = x strategic 1 OK rf 96/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:35:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = x/-9+(-6) strategic 1 OK rf x/-9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = -x/9+(-6) strategic 1 OK rds 5 = -x/9+(-6) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:10.0 HINT HINT ES_02b ES_02-7 EG41 5 = -x/9-6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:10.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:14.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = -x/9-6 strategic 2 OK add 6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+6 = -x/9-6+6 strategic 1 OK clt 5+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 11 = -x/9-6+6 strategic 1 OK clt -x/9-6+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:32.0 HINT HINT ES_02b ES_02-7 EG41 11 = -x/9 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:33.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:37.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 11 = -x/9 strategic 2 OK multiply -9/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 11*(-9/1) = -x/9*(-9/1) strategic 1 OK mt 11*(-9/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -99/1 = -x/9*(-9/1) strategic 1 OK mt -x/9*(-9/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:36:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -99/1 = x strategic 1 OK rf -99/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:14.0 HINT HINT ES_02b ES_02-7 EG41 0 = y/6+7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:15.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:19.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0 = y/6+7 strategic 2 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0-7 = y/6+7-7 strategic 1 OK clt 0-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -7 = y/6+7-7 strategic 1 OK clt y/6+7-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:33.0 HINT HINT ES_02b ES_02-7 EG41 -7 = y/6 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:34.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In y/6, y is divided by 6. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:40.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 6. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -7 = y/6 strategic 2 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -7*6 = y/6*6 strategic 1 OK mt -7*6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:37:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -42 = y/6*6 strategic 1 OK mt y/6*6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10+(y/-4) = 4 strategic 1 OK rf y/-4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:10.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10+(-y/4) = 4 strategic 1 OK rds -10+(-y/4) = 4 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:21.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10-y/4 = 4 strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:26.0 HINT HINT ES_02b ES_02-7 EG41 -10-y/4 = 4 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:27.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:31.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 10 to both sides of the equation to eliminate the constant value of -10 (-10 + 10 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:35.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10-y/4 = 4 strategic 3 OK add 10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:39.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10-y/4+10 = 4+10 strategic 1 OK clt -10-y/4+10 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/4 = 4+10 strategic 1 OK clt 4+10 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:42.0 HINT HINT ES_02b ES_02-7 EG41 -y/4 = 14 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:43.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In -y/4, y is multiplied by -1/4. How do you change the -1/4 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:47.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:38:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/4 = 14 strategic 2 OK multiply -4/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:39:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/4*(-4/1) = 14*(-4/1) strategic 1 OK mt -y/4*(-4/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:39:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 14*(-4/1) strategic 1 OK mt 14*(-4/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:39:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -56/1 strategic 1 OK rf -56/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:40:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8 = y/-7+(-2) strategic 1 OK rf y/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:04.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE In -y/4, y is multiplied by -1/4. How do you change the -1/4 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8 = y/-7+(-2) strategic 2 OK rds 8 = y/-7+(-2) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8 = y/-7-2 strategic 1 OK rf y/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:42.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK -y/7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:48.0 HINT HINT ES_02b ES_02-8 EG41 8 = -y/7-2 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:48.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:52.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:41:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8 = -y/7-2 strategic 2 OK add 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:42:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8+2 = -y/7-2+2 left 1 BUG left 6 6 is equal to 8 minus 2. You need to calculate 8 plus 2. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:42:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8+2 = -y/7-2+2 left 2 OK left 10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:42:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10 = -y/7-2+2 right 1 OK right -y/7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:42:28.0 HINT HINT ES_02b ES_02-8 EG41 10 = -y/7 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:42:29.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE In -y/7, y is multiplied by -1/7. How do you change the -1/7 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:42:33.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:42:42.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10 = -y/7 strategic 2 OK multiply -7/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:43:20.0 HINT HINT ES_02b ES_02-8 EG41 10*(-7/1) = -y/7*(-7/1) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:43:24.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE Type in 10*(-7/1) on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:43:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10*(-7/1) = -y/7*(-7/1) left 1 OK left 10*(-7/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:43:46.0 HINT HINT ES_02b ES_02-8 EG41 10*(-7/1) = -y/7*(-7/1) strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:43:47.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE Type in -y/7*(-7/1) on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:13.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10*(-7/1) = -y/7*(-7/1) right 1 BUG right y/7*(-7/1) You are multiplying a negative by a negative. The result should be positive. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10*(-7/1) = -y/7*(-7/1) right 2 OK right -y/7*(-7/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:28.0 HINT HINT ES_02b ES_02-8 EG41 10*(-7/1) = -y/7*(-7/1) strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:29.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10*(-7/1) = -y/7*(-7/1) strategic 4 OK mt 10*(-7/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-num-node strategic 1 ERROR 70 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:47.0 HINT HINT ES_02b ES_02-8 EG41 pm-r-num-node strategic 2 INITIAL_HINT 70 You need to multiply the numerators together. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:44:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-num-node strategic 3 OK -70 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-den-node strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 2 OK -70 condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -70 = -y/7*(-7/1) strategic 1 OK mt -y/7*(-7/1) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:11.0 HINT HINT ES_02b ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT You need to multiply the numerators together. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:13.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 9 HINT_LEVEL_CHANGE What is -y times -7? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:17.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 10 HINT_LEVEL_CHANGE Type 7y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-num-node strategic 5 OK 7y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-den-node strategic 2 OK 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:33.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 3 OK 7y/7 condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:38.0 HINT HINT ES_02b ES_02-8 EG41 -70 = 7y/7 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -70 = 7y/7 strategic 2 BUG rds -70 = 7y/7 strategic Simplify the fraction 7y/7. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -70 = 7y/7 strategic 3 OK rf 7y/7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:53.0 HINT HINT ES_02b ES_02-8 EG41 row1-N-y strategic 1 INITIAL_HINT This entry box represent the y factor of the numerator. Find the y factor in the numerator of the expression 7y/7. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:45:55.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 11 HINT_LEVEL_CHANGE Drag y here. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-y strategic 2 OK y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:05.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 12 HINT_LEVEL_CHANGE This entry box represent the y factor of the numerator. Find the y factor in the numerator of the expression 7y/7. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:07.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 13 HINT_LEVEL_CHANGE Drag y here. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:10.0 HINT HINT ES_02b ES_02-8 EG41 row1-D-y strategic 1 INITIAL_HINT This entry box represent the y factor of the denominator. Find the y factor in the denominator of the expression 7y/7. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:11.0 HINT HINT ES_02b ES_02-8 EG41 row1-D-y strategic 2 INITIAL_HINT This entry box represent the y factor of the denominator. Find the y factor in the denominator of the expression 7y/7. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:12.0 HINT HINT ES_02b ES_02-8 EG41 row1-D-y strategic 3 INITIAL_HINT This entry box represent the y factor of the denominator. Find the y factor in the denominator of the expression 7y/7. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:14.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 14 HINT_LEVEL_CHANGE Because there are no y factors in the denominator of 7y/7, you must double-click to enter a 1 here. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR 1/[7] condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 2 OK 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:27.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1/[7] condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:32.0 HINT HINT ES_02b ES_02-8 EG41 row1-D-y strategic 4 INITIAL_HINT Because there are no y factors in the denominator of 7y/7, you must double-click to enter a 1 here. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:51.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 15 HINT_LEVEL_CHANGE Because there are no y factors in the denominator of 7y/7, you must double-click to enter a 1 here. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:46:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -70 = 7y/7 strategic 4 OK rf 7y/7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 3 ERROR y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-y strategic 3 OK y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:07.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 4 OK 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-y strategic 5 ERROR 1/[7] condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:11.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-constant factors strategic 2 OK 1/[7] condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:12.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-y strategic 6 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:17.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2constant factors strategic 1 OK 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2y strategic 1 ERROR 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2y strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:38.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-y strategic 1 ERROR 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-y strategic 2 ERROR 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:45.0 HINT HINT ES_02b ES_02-8 EG41 row3-N-y strategic 3 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:49.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 16 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:47:55.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 17 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, y, by 1, the common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:48:00.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 18 HINT_LEVEL_CHANGE Type y. HINT 4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:48:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-y strategic 4 OK y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:48:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:48:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-y strategic 1 ERROR 7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:48:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-y strategic 2 ERROR y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171s6dHT session2 2007-03-30 16:48:29.0 HINT HINT ES_02b 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
171x4JPM session0 2007-04-10 17:26:57.0 HINT HINT ES_02orig ES_02-5 EG40 -3+9y = -6 strategic 1 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:26:59.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:27:02.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:27:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3+9y = -6 strategic 2 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:27:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3+9y+3 = -6+3 strategic 1 OK clt -3+9y+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:27:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y = -6+3 strategic 1 OK clt -6+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:27:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y = -3 strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:27:40.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9y/9 = -3/9 strategic 1 OK rf 9y/9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:27:40.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 y = -3/9 strategic 1 OK rf -3/9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:28:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7y+(-3) = -7 strategic 1 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:28:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7y+(-3)+3 = -7+3 strategic 1 OK clt 7y+(-3)+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:28:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7y = -7+3 strategic 1 OK clt -7+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:28:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7y = -4 strategic 1 OK divide 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:28:37.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7y/7 = -4/7 strategic 1 OK rf 7y/7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8 = 5x+10 strategic 1 ERROR add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:07.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8 = 5x+10 strategic 2 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8 = 5x+10 strategic 3 ERROR subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:21.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8 = 5x+10 strategic 4 OK subtract 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:26.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8-10 = 5x+10-10 strategic 1 OK clt -8-10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:26.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x+10-10 strategic 1 OK clt 5x+10-10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:34.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 1 ERROR divide 18 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:40.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 2 ERROR rf -18 = 5x strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:29:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 3 ERROR divide 18 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:30:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 4 ERROR subtract 18 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:30:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 5 ERROR multiply 18 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:30:16.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 6 ERROR divide 18 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:30:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 7 ERROR add 18 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:30:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18 = 5x strategic 8 OK divide 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:30:36.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -18/5 = 5x/5 strategic 1 OK rf 5x/5 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:31:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 1 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:31:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 2 ERROR subtract 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:31:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 3 ERROR add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:31:27.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x+3 = -3+3 strategic 1 OK clt -10+4x+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:31:27.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7+4x = -3+3 strategic 1 OK clt -3+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:31:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7+4x = 0 strategic 1 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:31:38.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7+4x = 0 strategic 2 BUG divide 7 You want to isolate 4x by removing -7 from the left side. 7 is subtracted from 4x. What is the opposite of subtraction? BUG condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7+4x = 0 strategic 3 ERROR multiply 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 4 ERROR multiply 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 5 ERROR divide 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 6 BUG divide 10 You want to isolate 4x by removing -10 from the left side. 10 is subtracted from 4x. What is the opposite of subtraction? BUG condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:32.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 7 ERROR multiply 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:38.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x = -3 strategic 9 OK add 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+4x+10 = -3+10 strategic 1 OK clt -10+4x+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x = -3+10 strategic 1 OK clt -3+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:32:59.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x = 7 strategic 1 OK divide 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:33:03.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x/4 = 7/4 strategic 1 BUG clt 4x/4 = 7/4 strategic Simplify the fraction 4x/4. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:33:18.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x/4 = 7/4 strategic 2 OK rf 4x/4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:33:43.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 1 ERROR subtract 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:33:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 2 ERROR divide 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:33:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 3 ERROR multiply 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:33:59.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1*1 = (10+(-9x))*1 strategic 1 OK unnec-elems -1*1=(10+(-9x))*1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:34:06.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 4 ERROR subtract 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:34:11.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 5 ERROR add 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:34:28.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 6 ERROR subtract 9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:34:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 7 BUG divide 10 You want to isolate -9x by removing 10 from the right side. 10 is added to -9x. What is the opposite of addition? BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:34:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1/10 = (10+(-9x))/10 strategic 1 ERROR subtract 10 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:34:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 8 ERROR subtract 9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 10+(-9x) strategic 9 OK subtract 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1-10 = 10+(-9x)-10 strategic 1 OK clt -1-10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = 10+(-9x)-10 strategic 1 OK clt 10+(-9x)-10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 1 ERROR divide 11 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:18.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11/11 = -9x/11 strategic 1 OK rf -11/11 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:27.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 2 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 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 3 ERROR divide 11 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:38.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 4 ERROR multiply 11 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:45.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 5 ERROR subtract 11 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 6 ERROR subtract 11 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:35:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 7 ERROR add 11 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:03.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 8 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 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11 = -9x strategic 9 OK divide -9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -11/-9 = -9x/-9 strategic 1 OK rf -11/-9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 11/9 = -9x/-9 strategic 1 OK rf -9x/-9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:43.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3 = 6+3x strategic 1 ERROR subtract 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:50.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3 = 6+3x strategic 2 OK subtract 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-6 = 6+3x-6 strategic 1 OK clt -3-6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:36:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 6+3x-6 strategic 1 OK clt 6+3x-6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:37:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 3x strategic 1 ERROR subtract 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:37:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 3x strategic 2 BUG subtract 3 In 3x, x is multiplied by 3. How do you undo multiplication? BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:37:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 3x strategic 3 BUG subtract -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:37:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 3x strategic 4 ERROR subtract 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:37:50.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 3x strategic 5 ERROR subtract -3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:37:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 3x strategic 6 ERROR multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:38:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9 = 3x strategic 7 OK divide 3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:38:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9/3 = 3x/3 strategic 1 OK rf -9/3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:38:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3 = 3x/3 strategic 1 OK rf 3x/3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:38:47.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9+4x = 6 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:38:53.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9+4x = 6 strategic 2 BUG subtract 6 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:39:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9+4x = 6 strategic 3 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:39:12.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9+4x = 6 strategic 4 OK add 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:39:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9+4x+9 = 6+9 strategic 1 OK clt -9+4x+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:39:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x = 6+9 strategic 1 OK clt 6+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:39:22.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x = 15 strategic 1 OK divide 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:39:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4x/4 = 15/4 strategic 1 OK rf 4x/4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+3x = -3 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+3x = -3 strategic 2 ERROR subtract 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+3x = -3 strategic 3 OK subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:31.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+3x-2 = -3-2 strategic 1 OK clt 2+3x-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:31.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3x = -3-2 strategic 1 OK clt -3-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:37.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3x = -5 strategic 1 OK divide 3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:39.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3x/3 = -5/3 strategic 1 OK rf 3x/3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:40:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+9x = -1 strategic 1 OK subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:41:00.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2+9x-2 = -1-2 strategic 1 OK clt 2+9x-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:41:00.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9x = -1-2 strategic 1 OK clt -1-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:41:04.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9x = -3 strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:41:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9x/9 = -3/9 strategic 1 OK rf 9x/9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:41:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 x = -3/9 strategic 1 OK rf -3/9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:42:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10 = 10+(-7x) strategic 1 OK subtract 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:42:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10-10 = 10+(-7x)-10 strategic 1 OK clt -10-10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:42:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -20 = 10+(-7x)-10 strategic 1 OK clt 10+(-7x)-10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:42:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -20 = -7x strategic 1 ERROR divide 20 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:00.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -20 = -7x strategic 2 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 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:06.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -20 = -7x strategic 3 OK divide -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:11.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -20/-7 = -7x/-7 strategic 1 OK rf -20/-7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:12.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 20/7 = -7x/-7 strategic 1 OK rf -7x/-7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:27.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6 = -5x+(-9) strategic 1 ERROR subtract 6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:37.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6 = -5x+(-9) 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6 = -5x+(-9) strategic 3 OK add 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6+9 = -5x+(-9)+9 strategic 1 OK clt -6+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = -5x+(-9)+9 strategic 1 OK clt -5x+(-9)+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:43:59.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = -5x strategic 1 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:04.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = -5x strategic 2 BUG divide 5 In this equation, x is multiplied by -5. Dividing by 5 leaves -x, so you still need to remove the negative sign. It is better to divide by -5, since that would leave x. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:12.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = -5x strategic 3 OK divide -5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:17.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3/-5 = -5x/-5 strategic 1 OK rf 3/-5 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:18.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3/5 = -5x/-5 strategic 1 OK rf -5x/-5 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:31.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 5 = 6y+(-2) strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 5 = 6y+(-2) strategic 2 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 5 = 6y+(-2) strategic 3 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:54.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 5+2 = 6y+(-2)+2 strategic 1 OK clt 5+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7 = 6y+(-2)+2 strategic 1 OK clt 6y+(-2)+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:44:59.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7 = 6y strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:45:01.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7/6 = 6y/6 strategic 1 OK rf 6y/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:45:21.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9y+4 = 4 strategic 1 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:45:26.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9y+4-4 = 4-4 strategic 1 OK clt -9y+4-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:45:26.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9y = 4-4 strategic 1 OK clt 4-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:45:30.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9y = 0 strategic 1 OK divide -9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:45:35.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9y/-9 = 0/-9 strategic 1 OK rf -9y/-9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:45:35.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 y = 0/-9 strategic 1 OK rf 0/-9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:46:17.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y) = 2 strategic 1 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:46:34.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y)+2 = 2+2 right 1 OK right 4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:46:45.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y)+2 = 4 left 1 ERROR left -4y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:46:54.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:47:01.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y) = 2 strategic 3 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:47:07.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y)+2 = 2+2 right 2 OK right 4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:47:23.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y)+2 = 4 left 2 ERROR left -8y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:47:34.0 HINT HINT ES_02orig ES_02-6 EG40 -2+(-6y)+2 = 4 strategic 1 INITIAL_HINT condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:47:41.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in -2+(-6y)+2 on the left. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:48:09.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y)+2 = 4 left 3 OK left -2+(-6y)+2 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:48:39.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 4 strategic 1 BUG divide 2 You want to isolate -6y by removing -2 from the left side. 2 is subtracted from -6y. What is the opposite of subtraction? BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:50:41.0 HINT HINT ES_02orig ES_02-6 EG40 -2+(-6y) = 2 strategic 4 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:50:45.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:50:52.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+(-6y) = 2 strategic 5 OK rds -2+(-6y) = 2 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:50:55.0 HINT HINT ES_02orig ES_02-6 EG40 -2-6y = 2 strategic 1 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:50:58.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:51:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y = 2 strategic 2 BUG subtract 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:51:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y = 2 strategic 3 OK subtract -2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:51:26.0 HINT HINT ES_02orig ES_02-6 EG40 -2-6y-(-2) = 2-(-2) strategic 1 INITIAL_HINT condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:51:27.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type in -2-6y-(-2) on the left. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:09.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y-(-2) = 2-(-2) left 1 OK left -2-6y-(-2) condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 2-(-2) right 1 BUG right 0 0 is equal to 2 plus -2. You need to calculate 2 minus -2. BUG condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:19.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 2-(-2) right 2 OK right 4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:23.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 4 strategic 2 ERROR rds -2-6y+2 = 4 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:27.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 4 strategic 3 ERROR rf -2-6y+2 = 4 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:37.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 4 strategic 4 ERROR distribute -2-6y+2 = 4 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:42.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 4 strategic 5 ERROR mt -2-6y+2 = 4 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:46.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 4 strategic 6 OK clt -2-6y+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:52:57.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2-6y+2 = 4 strategic 7 OK clt -2-6y+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:02.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms2R1 strategic 1 OK +2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y1R1 strategic 1 OK -6y condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:29.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 1 OK -2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:38.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 yR2 strategic 1 OK -6y condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:40.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:46.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 1 OK -6y condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:51.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y = 4 strategic 1 OK divide -6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:53:59.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y/-6 = 4/-6 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:02.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 4/-6 right 1 ERROR right 2 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:21.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 4/-6 right 2 ERROR right 3 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:38.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 4/-6 right 3 OK right 4/-6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:46.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 4/-6 strategic 1 OK rf 4/-6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:51.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 2 ERROR 7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:57.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 3 ERROR 8 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:54:57.0 HINT HINT ES_02orig ES_02-6 EG40 row2constant factors strategic 4 INITIAL_HINT 8 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:00.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 5 ERROR 9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:02.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 6 ERROR 4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:05.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 7 ERROR 5 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:06.0 HINT HINT ES_02orig ES_02-6 EG40 row2constant factors strategic 8 INITIAL_HINT 5 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 9 ERROR 6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:22.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y = 4 strategic 2 OK divide -6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:25.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y/-6 = 4/-6 left 2 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:37.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 4/-6 right 4 OK right -4/6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:44.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = -4/6 strategic 1 BUG rds y = -4/6 strategic Simplify the fraction -4/6. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:50.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = -4/6 strategic 2 OK rf -4/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:53.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 10 ERROR 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:55:56.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 11 OK 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:04.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-N-constant factors strategic 1 BUG 2 2
Check the sign of your answer. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:07.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-D-constant factors strategic 1 OK 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:10.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 2 BUG 2/3 2/3
Perhaps you should fill in the answers above. BUG condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:16.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-N-constant factors strategic 2 OK -2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 3 OK -2/3 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:52.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1+x/5 = 8 strategic 1 OK subtract -1 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1+x/5-(-1) = 8-(-1) strategic 1 OK clt -1+x/5-(-1) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:56:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 8-(-1) strategic 1 OK clt 8-(-1) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:57:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 1 BUG divide 5 To remove the coefficient of x/5, you need to divide by 1/5 or multiply by 5. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:57:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 2 BUG divide 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:57:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 3 ERROR rf x/5 = 9 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session0 2007-04-10 17:57:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 4 ERROR rds x/5 = 9 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 1 ERROR mt x/5 = 9 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 2 ERROR rf x/5 = 9 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 3 ERROR rds x/5 = 9 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 4 BUG divide 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:35.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 5 BUG divide 5 To remove the coefficient of x/5, you need to divide by 1/5 or multiply by 5. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5 = 9 strategic 6 OK multiply 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/5*5 = 9*5 strategic 1 OK mt x/5*5 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:21:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = 9*5 strategic 1 OK mt 9*5 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:22:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -8 = y/4+(-2) strategic 1 BUG subtract -8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:22:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -8 = y/4+(-2) strategic 2 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:22:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -8*4 = (y/4+(-2))*4 strategic 1 OK mt -8*4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:23:06.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 1 ERROR add -2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:23:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 2 ERROR divide 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:23:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 3 BUG divide -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:23:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 4 ERROR subtract -2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:23:41.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 5 ERROR add -2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:23:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 6 BUG multiply -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:23:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 7 BUG divide -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 8 ERROR rf -32 = (y/4+(-2))*4 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:06.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 9 ERROR rf -32 = (y/4+(-2))*4 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4+(-2))*4 strategic 10 OK rds -32 = (y/4+(-2))*4 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 1 BUG add -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 2 BUG subtract -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 3 ERROR multiply 32 condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:48.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 4 BUG divide -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 5 ERROR divide 32 condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:24:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 6 ERROR rf -32 = (y/4-2)*4 strategic condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 7 ERROR clt -32 = (y/4-2)*4 strategic condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:07.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = (y/4-2)*4 strategic 8 OK distribute (y/4-2)*4 condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y/4*4-2*4 strategic 1 ERROR rf -32 = y/4*4-2*4 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y/4*4-2*4 strategic 2 ERROR distribute -32 = y/4*4-2*4 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:19.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y/4*4-2*4 strategic 3 ERROR rf -32 = y/4*4-2*4 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y/4*4-2*4 strategic 4 OK mt 2*4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y/4*4-8 strategic 1 OK mt y/4*4 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 1 ERROR mt -32 = y-8 strategic condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:37.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 2 ERROR clt -32 = y-8 strategic condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 3 ERROR mt -32 = y-8 strategic condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:50.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 4 ERROR rf -32 = y-8 strategic condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 5 ERROR rf -32 = y-8 strategic condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:25:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 6 ERROR rds -32 = y-8 strategic condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:26:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 7 ERROR distribute -32 = y-8 strategic condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:26:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 8 BUG subtract -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:26:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y-8 strategic 9 OK subtract -8 condition 4 [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}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:26:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32-(-8) = y-8-(-8) strategic 1 OK clt -32-(-8) condition 4 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:26:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -24 = y-8-(-8) strategic 1 OK clt y-8-(-8) condition 4 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:31:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/10+9 = 1 strategic 1 OK subtract 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:31:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/10+9-9 = 1-9 strategic 1 OK clt y/10+9-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:31:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/10 = 1-9 strategic 1 OK clt 1-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:33:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/10 = -8 strategic 1 BUG divide 10 To remove the coefficient of y/10, you need to divide by 1/10 or multiply by 10. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:33:41.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/10 = -8 strategic 2 OK multiply 10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:33:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/10*10 = -8*10 strategic 1 OK mt y/10*10 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:33:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = -8*10 strategic 1 OK mt -8*10 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:34:13.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/8+(-8) = 1 strategic 1 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:34:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/8+(-8)+8 = 1+8 strategic 1 OK clt y/8+(-8)+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:34:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/8 = 1+8 strategic 1 OK clt 1+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:34:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/8 = 9 strategic 1 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:34:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/8*8 = 9*8 strategic 1 OK mt y/8*8 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:34:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = 9*8 strategic 1 OK mt 9*8 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:36:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = x/-3+(-9) strategic 1 BUG add 2 Simplify the fraction x/-3. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:36:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = x/-3+(-9) strategic 2 OK rf x/-3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:36:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 1 ERROR add 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:36:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 2 ERROR subtract 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:36:41.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 3 BUG add -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:36:52.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 4 BUG subtract -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:36:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 5 ERROR multiply 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:37:05.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 6 BUG multiply -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:37:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 7 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:37:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 8 ERROR divide 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 9 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:08.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 10 ERROR distribute -2 = -x/3+(-9) strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3+(-9) strategic 11 OK rds -2 = -x/3+(-9) strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 1 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 2 ERROR multiply 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:26.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 3 BUG subtract -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 4 BUG add -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 5 BUG subtract -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:48.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 6 BUG multiply -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:41:53.0 HINT HINT ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 7 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:07.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:23.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/3-9 strategic 8 OK subtract -9 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2-(-9) = -x/3-9-(-9) strategic 1 OK clt -2-(-9) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3-9-(-9) strategic 1 OK clt -x/3-9-(-9) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 1 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:44.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 2 ERROR divide 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:52.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 3 BUG add 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:42:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 4 ERROR distribute 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:43:00.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 5 ERROR rds 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:43:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 6 ERROR rf 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:43:08.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 7 ERROR mt 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:43:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 8 BUG subtract 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:43:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 9 BUG add 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session1 2007-04-17 17:43:54.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 10 ERROR subtract -7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:19:26.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 1 ERROR rds 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:19:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 2 ERROR distribute 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:19:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 3 ERROR rf 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:19:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 4 ERROR mt 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:19:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 5 ERROR clt 7 = -x/3 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:19:44.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 6 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:20:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 7 BUG multiply 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:20:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 8 BUG subtract 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:20:45.0 HINT HINT ES_02orig ES_02-7 EG41 7 = -x/3 strategic 9 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:20:47.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE In -x/3, x is multiplied by -1/3. How do you change the -1/3 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:20:53.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:21:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/3 strategic 10 OK multiply -3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:21:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7*(-3/1) = -x/3*(-3/1) strategic 1 OK mt 7*(-3/1) condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:21:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -21/1 = -x/3*(-3/1) strategic 1 OK mt -x/3*(-3/1) condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:21:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -21/1 = x strategic 1 BUG divide 1 Simplify the fraction -21/1. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:21:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -21/1 = x strategic 2 BUG rds -21/1 = x strategic Simplify the fraction -21/1. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:21:43.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -21/1 = x strategic 3 OK rf -21/1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:22:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = y/-7+1 strategic 1 BUG multiply 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:22:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = y/-7+1 strategic 2 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:22:44.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = y/-7+1 strategic 3 BUG subtract -6 Simplify the fraction y/-7. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:00.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = y/-7+1 strategic 4 OK rf y/-7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 1 ERROR distribute 6 = -y/7+1 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 2 ERROR rds 6 = -y/7+1 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 3 ERROR rf 6 = -y/7+1 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 4 ERROR mt 6 = -y/7+1 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:31.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 5 ERROR mt 6 = -y/7+1 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 6 ERROR clt 6 = -y/7+1 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:23:57.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 7 ERROR subtract -6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:24:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 8 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:24:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 9 ERROR divide -6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:24:20.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 10 BUG add 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:25:42.0 HINT HINT ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 11 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:25:48.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:00.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/7+1 strategic 12 OK subtract 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6-1 = -y/7+1-1 strategic 1 OK clt 6-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7+1-1 strategic 1 OK clt -y/7+1-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:19.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 1 ERROR rf 5 = -y/7 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 2 ERROR distribute 5 = -y/7 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 3 ERROR rds 5 = -y/7 strategic condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:37.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 4 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 5 ERROR divide 7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:52.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 6 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:26:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 7 ERROR subtract 7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 8 BUG multiply 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:13.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -y/7 strategic 9 OK multiply 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:19.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5*7 = -y/7*7 strategic 1 OK mt 5*7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:19.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y/7*7 strategic 1 OK mt -y/7*7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:34.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -7y/7 strategic 1 BUG divide 35 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:40.0 HINT HINT ES_02orig ES_02-7 EG41 35 = -7y/7 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:41.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -7y/7 strategic 3 OK rf -7y/7 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:27:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y strategic 1 ERROR rf 35 = -y strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:00.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y strategic 2 ERROR rds 35 = -y strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y strategic 3 ERROR rf 35 = -y strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:07.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y strategic 4 ERROR distribute 35 = -y strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:13.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y strategic 5 BUG divide 35 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:24.0 HINT HINT ES_02orig ES_02-7 EG41 35 = -y strategic 6 INITIAL_HINT condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y strategic 7 ERROR subtract -35 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:40.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:45.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:28:55.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35 = -y strategic 8 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:29:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 35/-1 = -y/-1 strategic 1 OK rf 35/-1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:29:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -35 = -y/-1 strategic 1 OK rf -y/-1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:29:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(x/-6) strategic 1 BUG divide -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:30:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(x/-6) strategic 2 BUG rds -3 = 3+(x/-6) strategic Simplify the fraction x/-6. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:30:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(x/-6) strategic 3 BUG rds -3 = 3+(x/-6) strategic Simplify the fraction x/-6. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:30:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(x/-6) strategic 4 OK rf x/-6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:30:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 OK -x/6 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:30:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(-x/6) strategic 1 OK subtract 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:31:10.0 HINT HINT ES_02orig ES_02-8 EG41 -3-3 = 3+(-x/6)-3 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:31:12.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in -3-3 on the left. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:31:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3+(-x/6)-3 left 1 OK left -3-3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:31:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3+(-x/6)-3 right 1 ERROR right 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:31:25.0 HINT HINT ES_02orig ES_02-8 EG41 -3-3 = 3+(-x/6)-3 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:31:26.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type in 3+(-x/6)-3 on the right. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:31:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3+(-x/6)-3 right 2 OK right 3+(-x/6)-3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:35:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 1 ERROR rf -3-3 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:35:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 2 OK clt -3-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:35:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 ERROR 0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:35:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 ERROR 1 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:35:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 4 ERROR 2 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:35:24.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT 2 Simplify the expression [-3]+[-3]. HINT 1 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 6 ERROR (-3) condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 7 OK -3+(-3) condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 3 OK clt 3-x/6-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:29.0 CYCLE CYCLE ES_02orig 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 1 OK 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:33.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:37.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 3 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:44.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 4 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 5 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 6 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:37:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 7 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:18.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 8 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 9 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 1 BUG x/6 x/6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, x/6, is not one of the constant terms. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:33.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 2 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 3 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 4 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:39.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 10 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 4 ERROR rds -3-3 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 5 ERROR distribute -3-3 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 6 ERROR rf -3-3 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:38:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 7 ERROR rf -3-3 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3-3 = 3-x/6-3 strategic 8 OK clt -3-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 8 ERROR 0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:09.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT 0 Simplify the expression [-3]+[-3]. HINT 1 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:11.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:14.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Adding [-3]+[-3] yields -6. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 10 OK -6 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 1 OK clt 3-x/6-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 2 OK 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 11 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:27.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 12 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 2 ERROR mt -6 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 3 OK clt 3-x/6-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 13 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 3 BUG x/6 x/6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, x/6, is not one of the constant terms. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 14 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 15 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 4 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 5 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 6 OK 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:39:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 1 BUG 3 3
Perhaps you should fill in all the constant terms above. BUG condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:40:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 xR2 strategic 1 BUG 3 3
Perhaps you should fill in all the x terms above. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:40:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 16 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:40:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 17 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:41:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(x/-6) strategic 5 OK rf x/-6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:41:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 11 OK -x/6 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:41:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(-x/6) 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:42:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3 = 3+(-x/6) strategic 3 OK add -3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:42:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -3+(-3) = 3+(-x/6)+(-3) left 1 OK left -6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:42:21.0 HINT HINT ES_02orig ES_02-8 EG41 -6 = 3+(-x/6)+(-3) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:42:22.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE Type in 3+(-x/6)+(-3) on the right. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3+(-x/6)+(-3) right 1 OK right 3+(-x/6)+(-3) condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:04.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 4 OK clt 3-x/6-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 18 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 19 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:10.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 7 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 8 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 20 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 21 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 22 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 23 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 24 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 25 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 26 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 27 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 9 OK 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:27.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 5 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:29.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 6 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 7 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 28 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:46.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 29 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:48.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 30 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:50.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 31 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:52.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 32 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:53.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 33 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:53.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 34 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:54.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 35 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:54.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 36 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:55.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 37 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:55.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 38 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:55.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 39 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:55.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 40 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:55.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 41 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:43:57.0 HINT HINT ES_02orig ES_02-8 EG41 x1R1 strategic 42 INITIAL_HINT 3 This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:44:04.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 xR2 strategic 2 BUG x x
Perhaps you should fill in all the x terms above. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 5 ERROR distribute -6 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 6 ERROR rds -6 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 7 ERROR rf -6 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 8 ERROR mt -6 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 9 ERROR mt -6 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:29.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 10 OK clt 3-x/6-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 43 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 44 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 45 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 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 10 BUG x/6 x/6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, x/6, is not one of the constant terms. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:51:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 46 BUG x/6 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:10.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 11 OK clt 3-x/6-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 47 OK -x/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 11 OK 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 8 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 9 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 2 BUG - -
Perhaps you should fill in all the constant terms above. BUG condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 12 ERROR mt -6 = 3-x/6-3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:52:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = 3-x/6-3 strategic 13 OK clt 3-x/6-3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 48 OK -x/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 10 OK -3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 12 OK 3 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 3 OK 0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:30.0 HINT HINT ES_02orig ES_02-8 EG41 xR2 strategic 3 INITIAL_HINT In the group above, you have [-x/6]. Type [-x/6] here. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 xR2 strategic 4 OK -x/6 condition 4 goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:44.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 12 INITIAL_HINT Above, you have [-x/6]+[0]. Enter -x/6 as your result. HINT 1 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
171x4JPM session2 2007-04-19 17:53:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 13 OK -x/6 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171fN40L--7--es02or
2NX7d session0 2007-03-26 10:01:54.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1+2x = 3 strategic 1 OK subtract -1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:02:26.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1+2x-(-1) = 3-(-1) strategic 1 OK clt -1+2x-(-1) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:02:27.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2x = 3-(-1) strategic 1 OK clt 3-(-1) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:02:30.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2x = 4 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:02:36.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2x/2 = 4/2 strategic 1 OK rf 2x/2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:02:36.0 CYCLE CYCLE ES_02b ES_02-5 EG40 x = 4/2 strategic 1 OK rf 4/2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:08:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1 = -7x+(-7) strategic 1 ERROR clt -1 = -7x+(-7) strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:08:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1 = -7x+(-7) strategic 2 OK subtract -7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:09:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1-(-7) = -7x+(-7)-(-7) left 1 OK left 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:09:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6 = -7x+(-7)-(-7) right 1 OK right -7x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:09:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6 = -7x strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:09:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6/-7 = -7x/-7 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:09:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6/-7 = x left 1 OK left -0.8571 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2+(y/-7) = -3 strategic 1 BUG mt -2+(y/-7) = -3 strategic Simplify the fraction y/-7. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2+(y/-7) = -3 strategic 2 OK subtract -2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2+(y/-7)-(-2) = -3-(-2) strategic 1 OK clt -2+(y/-7)-(-2) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/-7 = -3-(-2) strategic 1 OK clt -3-(-2) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/-7 = -1 strategic 1 BUG mt y/-7 = -1 strategic Simplify the fraction y/-7. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:35.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/-7 = -1 strategic 2 OK multiply -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/-7*(-7) = -1*(-7) strategic 1 OK mt y/-7*(-7) condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -1*(-7) strategic 1 OK mt -1*(-7) condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:11:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = 2+(x/-7) strategic 1 BUG multiply 7 Simplify the fraction x/-7. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:12:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = 2+(x/-7) strategic 2 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:12:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3-2 = 2+(x/-7)-2 strategic 1 OK clt 3-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:12:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1 = 2+(x/-7)-2 strategic 1 OK clt 2+(x/-7)-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:12:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1 = x/-7 strategic 1 OK multiply -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:12:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1*(-7) = x/-7*(-7) strategic 1 ERROR clt 1*(-7) = x/-7*(-7) strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:12:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1*(-7) = x/-7*(-7) strategic 2 OK mt 1*(-7) condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:12:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -7 = x/-7*(-7) strategic 1 OK mt x/-7*(-7) condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:13:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4 = 2+y/3 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:13:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4-2 = 2+y/3-2 left 1 OK left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:13:48.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2 = 2+y/3-2 right 1 OK right y/3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:13:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2 = y/3 strategic 1 OK multiply 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:13:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2*3 = y/3*3 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:13:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2*3 = y left 1 OK left 6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:14:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8 = y/7+(-3) strategic 1 OK subtract -3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:14:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8-(-3) = y/7+(-3)-(-3) left 1 OK left 11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:14:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 11 = y/7+(-3)-(-3) right 1 OK right y/7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:14:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 11 = y/7 strategic 1 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:14:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 11*7 = y/7*7 left 1 OK left 77 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:14:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 77 = y/7*7 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:15:46.0 HINT HINT ES_02b ES_02-9 EG44 2 = -3/y strategic 1 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:15:48.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -3/y is -3 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:15:52.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:15:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2 = -3/y strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2y = -3/y*y strategic 1 ERROR clt 2y = -3/y*y strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:09.0 HINT HINT ES_02b ES_02-9 EG44 2y = -3/y*y strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:10.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2y = -3/y*y strategic 3 OK mt -3/y*y condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2y = -3 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:23.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2y/2 = -3/2 strategic 1 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:42.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -4/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:49.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x = -4/x*x strategic 1 OK mt -4/x*x condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x = -4 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x/4 = -4/4 strategic 1 OK rf 4x/4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:16:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 x = -4/4 strategic 1 OK rf -4/4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:17:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 9 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:17:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y*y = 9y strategic 1 OK mt -2/y*y condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:17:18.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = 9y strategic 1 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:17:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = 9y strategic 2 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:17:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/9 = 9y/9 strategic 1 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:18:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -3/x = -1 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:18:33.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -3/x*x = -1x left 1 OK left -3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:18:35.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -3 = -1x right 1 OK right -1x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:18:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -3 = -1x strategic 1 OK divide -1 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:18:44.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -3/-1 = -1x/-1 left 1 OK left 3 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:18:46.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3 = -1x/-1 right 1 OK right x condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:19:00.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4 = 4/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:19:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4x = 4/x*x left 1 OK left -4x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:19:04.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4x = 4/x*x right 1 OK right 4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:19:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4x = 4 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:19:15.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4x/-4 = 4/-4 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2NX7d session0 2007-03-26 10:19:16.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 4/-4 right 1 OK right -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
2n8Nx session0 2007-03-16 16:43:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8 = -7+(-6y) strategic 1 ERROR clt -8 = -7+(-6y) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session0 2007-03-16 16:44:07.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8 = -7+(-6y) strategic 2 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session0 2007-03-16 16:44:19.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8 = -7+(-6y) strategic 3 OK subtract -7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session0 2007-03-16 16:44:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8-(-7) = -7+(-6y)-(-7) strategic 1 OK clt -8-(-7) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session0 2007-03-16 16:44:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1 = -7+(-6y)-(-7) strategic 1 OK clt -7+(-6y)-(-7) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session0 2007-03-16 16:44:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1 = -6y strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session0 2007-03-16 16:44:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/-6 = -6y/-6 strategic 1 OK rf -1/-6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session0 2007-03-16 16:44:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1/6 = -6y/-6 strategic 1 OK rf -6y/-6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:24:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4 = 8+2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:24:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/2 = (8+2y)/2 left 1 OK left 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:24:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 1 ERROR right 8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:24:44.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 2 ERROR right 4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:24:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 3 ERROR right 8/2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:25:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 4 ERROR right 8y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:25:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 5 ERROR right 4y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:25:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 6 ERROR right 8/2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:25:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 7 ERROR right 8y/2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:25:44.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 8 ERROR right 4y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:25:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 9 ERROR right 8/2y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:26:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 10 ERROR right 2y/8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:27:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 11 ERROR right 8+1y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:27:44.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 12 BUG right 8+2y You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:28:02.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 13 ERROR right 8+2y/2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:28:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 14 ERROR right 4y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:28:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = (8+2y)/2 right 15 ERROR right 8y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:29:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4 = 8+2y strategic 2 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:29:20.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4-8 = 8+2y-8 left 1 OK left -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:29:25.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4 = 8+2y-8 right 1 OK right 2y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:29:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4 = 2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:29:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4/2 = 2y/2 left 1 OK left -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:29:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -2 = 2y/2 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:44:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0 = 6+x/4 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:44:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0 = 6+x/4 strategic 2 ERROR subtract x/4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:44:49.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0 = 6+x/4 strategic 3 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0-6 = 6+x/4-6 strategic 1 ERROR rds 0-6 = 6+x/4-6 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0-6 = 6+x/4-6 strategic 2 ERROR rf 0-6 = 6+x/4-6 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0 = 6+x/4 strategic 4 ERROR rf 0 = 6+x/4 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0 = 6+x/4 strategic 5 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 0-6 = 6+x/4-6 strategic 3 OK clt 0-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:28.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = 6+x/4-6 strategic 1 OK clt 6+x/4-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = x/4 strategic 1 ERROR rf -6 = x/4 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = x/4 strategic 2 ERROR rf -6 = x/4 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:45:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = x/4 strategic 3 ERROR distribute -6 = x/4 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:46:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = x/4 strategic 4 OK multiply 4/1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:46:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6*4 = x/4*4 strategic 1 OK mt -6*4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:46:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -24 = x/4*4 strategic 1 OK mt x/4*4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:47:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8+x/7 = 8 strategic 1 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:47:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8+x/7-8 = 8-8 strategic 1 OK clt 8+x/7-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:47:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/7 = 8-8 strategic 1 OK clt 8-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:47:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/7 = 0 strategic 1 OK multiply 7/1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:47:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/7*7 = 0*7 strategic 1 OK mt x/7*7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:47:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 0*7 strategic 1 OK mt 0*7 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:48:22.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = y/9+9 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:48:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3-9 = y/9+9-9 strategic 1 OK clt 3-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:48:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = y/9+9-9 strategic 1 OK clt y/9+9-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:48:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = y/9 strategic 1 OK multiply 9/1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:48:46.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6*9 = y/9*9 strategic 1 OK mt -6*9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:48:46.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -54 = y/9*9 strategic 1 OK mt y/9*9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:53:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5 = 3 strategic 1 OK subtract -5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:53:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5-(-5) = 3-(-5) left 1 ERROR left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:54:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5-(-5) = 3-(-5) left 2 ERROR left 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session2 2007-03-20 16:54:12.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5-(-5) = 3-(-5) left 3 ERROR left -10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:29:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5-(-5) = 3-(-5) left 1 ERROR left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:29:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5-(-5) = 3-(-5) left 2 ERROR left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:29:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5-(-5) = 3-(-5) left 3 ERROR left 1x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:29:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5 = 3 strategic 1 OK subtract -5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:30:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+x/5-(-5) = 3-(-5) left 4 OK left x/5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:30:11.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5 = 3-(-5) right 1 OK right 8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:30:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5 = 8 strategic 1 OK multiply 5/1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:30:27.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5*5 = 8*5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:30:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = 8*5 right 1 OK right 40 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:30:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4 = -4+(x/-3) strategic 1 OK subtract -4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:31:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-(-4) = -4+(x/-3)-(-4) left 1 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:31:10.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0 = -4+(x/-3)-(-4) right 1 BUG right x/3 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:31:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0 = -4+(x/-3)-(-4) right 2 OK right -x/3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:31:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0 = -x/3 strategic 1 OK multiply -3/1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:31:42.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0*(-3/1) = -x/3*(-3/1) left 1 OK left 0 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:31:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0 = -x/3*(-3/1) right 1 OK right x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:32:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-2+(-4) = 8 strategic 1 OK subtract -4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:32:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-2+(-4)-(-4) = 8-(-4) left 1 OK left y/-2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:32:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-2 = 8-(-4) right 1 OK right 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:32:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-2 = 12 strategic 1 OK multiply -2/1 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:32:38.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-2*(-2) = 12*(-2) left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:32:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 12*(-2) right 1 OK right -24 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:34:40.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 1 BUG multiply 3/1 To remove 3/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 3/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:35:01.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 2 ERROR multiply 3/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:35:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 3 BUG multiply 3/1 To remove 3/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 3/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:35:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 4 ERROR multiply 1/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:35:36.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 5 ERROR multiply 1/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:35:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 6 ERROR multiply 1/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:35:57.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 7 ERROR rf -6 = 3/y strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:36:10.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 8 ERROR multiply 1/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:36:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 9 ERROR multiply -1/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:36:31.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 10 ERROR mt -6 = 3/y strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:37:40.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 11 ERROR multiply 1/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:37:56.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 12 ERROR multiply 1 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6*1 = 3/y*1 strategic 1 OK unnec-elems -6*1=3/y*1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:20.0 HINT HINT ES_02b ES_02-9 EG44 -6 = 3/y strategic 13 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:22.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 3/y is 3 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:27.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:34.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = 3/y strategic 14 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:38.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6y = 3/y*y strategic 1 OK mt 3/y*y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6y = 3 strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6y/-6 = 3/-6 strategic 1 OK rf -6y/-6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:38:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 3/-6 strategic 1 OK rf 3/-6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:39:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/x = 10 strategic 1 ERROR multiply 1/-9 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:39:29.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/x = 10 strategic 2 ERROR multiply -1/9 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:39:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/x = 10 strategic 3 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:39:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/x*x = 10x strategic 1 OK mt -9/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:39:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = 10x strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:39:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/10 = 10x/10 strategic 1 OK rf 10x/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:40:10.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:40:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y*y = 2y strategic 1 OK mt -2/y*y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:40:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = 2y strategic 1 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:40:30.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = 2y strategic 2 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:40:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/2 = 2y/2 strategic 1 OK rf -2/2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:40:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -1 = 2y/2 strategic 1 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:40:59.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/y = -3 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:41:01.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/y*y = -3y strategic 1 OK mt -9/y*y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:41:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -3y strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:41:11.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/-3 = -3y/-3 strategic 1 BUG mt -9/-3 = -3y/-3 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:41:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9/-3 = -3y/-3 strategic 2 OK rf -9/-3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:41:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3 = -3y/-3 strategic 1 OK rf -3y/-3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:42:14.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8/y = 5 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:42:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8/y*y = 5y strategic 1 OK mt 8/y*y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:42:23.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = 5y strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:42:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8/5 = 5y/5 strategic 1 OK rf 5y/5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:44:04.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/y = -5 strategic 1 BUG multiply 3 To remove 3/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 3/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:44:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/y = -5 strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:44:18.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/y*y = -5y left 1 ERROR left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:44:22.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/y*y = -5y left 2 OK left 3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:44:27.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3 = -5y right 1 BUG right -5 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:44:54.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3 = -5y right 2 OK right -5y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:44:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3 = -5y strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:45:25.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/-5 = -5y/-5 left 1 OK left 3/-5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:45:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/-5 = -5y/-5 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:45:34.0 HINT HINT ES_02b ES_02-10 EG44 3/-5 = y strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:45:40.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:47:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/-5 = y strategic 2 OK rf 3/-5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:47:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 OK 3/-5 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:47:37.0 HINT HINT ES_02b ES_02-10 EG44 3/-5 = y strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:47:43.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:47:47.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:47:55.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3/-5 = y strategic 4 OK rf 3/-5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:48:02.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 2 BUG 3/5 3/5
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:51:47.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 3 ERROR -6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:51:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 4 ERROR -6/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:51:52.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT -6/2 In the above expression you have 3/-5. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:51:58.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 6 ERROR -5 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:01.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 7 ERROR 5 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 8 ERROR -5/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:12.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT -5/2 In the above expression you have 3/-5. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:19.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE To simplify, divide -5 into 3. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 10 BUG 3/5 3/5
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:33.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 11 ERROR 5/3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:48.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 12 ERROR .06 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:48.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 13 INITIAL_HINT .06 To simplify, divide -5 into 3. HINT 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:52:55.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 14 ERROR 6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:53:04.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 15 BUG .6 .6
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:53:29.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 16 BUG 0.6 0.6
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:53:48.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 17 ERROR -2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:54:05.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 18 INITIAL_HINT -2 To simplify, divide -5 into 3. HINT 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:54:13.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Type -3/5. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:54:24.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 19 OK -3/5 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:54:43.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5 = 2/y strategic 1 ERROR multiply 2/13 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:54:50.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5 = 2/y strategic 2 BUG multiply 2/1 To remove 2/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 2/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:55:01.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5 = 2/y strategic 3 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:55:07.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = 2/y*y left 1 BUG left 5 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:55:15.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = 2/y*y right 1 ERROR right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:55:19.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = 2/y*y right 2 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:55:43.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = 2 left 1 OK left 5y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:55:47.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = 2 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:55:57.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y/5 = 2/5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:56:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = 2/5 right 1 OK right 2/5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:56:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 1 BUG divide -1/5 To remove the coefficient of -5/x, you need to divide by -5 or multiply by -1/5. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session3 2007-03-22 16:56:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 2 ERROR multiply -1/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:28:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 1 BUG divide -1/5 To remove the coefficient of -5/x, you need to divide by -5 or multiply by -1/5. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:28:23.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 2 ERROR multiply -1/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:28:26.0 HINT HINT ES_02b ES_02-10 EG44 -2*(-1/5) = -5/x*(-1/5) strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:28:37.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 3 ERROR multiply -1/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:28:51.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 4 ERROR multiply 1/-5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:28:57.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 5 BUG multiply 1/5 Multiplying by 1/5 will leave -x. It is better to multiply by -1/5, because that will leave x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:29:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 6 ERROR multiply -1/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:29:21.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 7 BUG divide -1/5 To remove the coefficient of -5/x, you need to divide by -5 or multiply by -1/5. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:29:33.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 8 ERROR divide -5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 9 ERROR multiply -x/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:24.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 10 ERROR multiply -1/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:33.0 HINT HINT ES_02b ES_02-10 EG44 -2 = -5/x strategic 11 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:34.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE -5/x is -5 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:39.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:44.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5/x strategic 12 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2x = -5/x*x right 1 OK right -5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:30:56.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2x = -5 left 1 ERROR left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:31:01.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2x = -5 left 2 OK left -2x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:31:07.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2x = -5 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:31:17.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2x/-2 = -5/-2 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:31:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = -5/-2 right 1 OK right -5/-2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:31:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = -5/-2 strategic 1 OK rf -5/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:32:02.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 ERROR -7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:32:05.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT -7 In the above expression you have -5/-2. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:32:08.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -2 into -5. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:32:34.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 3 OK -5/-2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:32:37.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = -5/-2 strategic 2 OK rf -5/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:32:53.0 HINT HINT ES_02b ES_02-10 EG44 x = -5/-2 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:32:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = -5/-2 strategic 4 BUG rds x = -5/-2 strategic Simplify the fraction -5/-2. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:33:07.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = -5/-2 strategic 5 OK rf -5/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:33:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 4 ERROR -7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:33:17.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 5 OK 5/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:33:42.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5 = 5/x strategic 1 ERROR multiply 1/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:33:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5 = 5/x strategic 2 ERROR multiply 1/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:34:00.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5 = 5/x strategic 3 OK multiply x/5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:34:10.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5*(x/5) = 5/x*(x/5) left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:34:15.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 5/x*(x/5) right 1 ERROR right 25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:34:21.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 5/x*(x/5) right 2 ERROR right 5x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:34:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 5/x*(x/5) right 3 ERROR right 25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:34:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 5/x*(x/5) right 4 OK right 1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:35:20.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4/x = -7 strategic 1 ERROR multiply -x/4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:35:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4/x = -7 strategic 2 ERROR multiply x/4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:35:38.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4/x = -7 strategic 3 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:35:43.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4/x*x = -7x left 1 OK left -4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:35:48.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4 = -7x right 1 OK right -7x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:35:54.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4 = -7x strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -4/-7 = -7x/-7 left 1 OK left 4/7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 4/7 = -7x/-7 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/x = -4 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:32.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/x*x = -4x left 1 OK left -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:35.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -4x right 1 OK right -4x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -4x strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:44.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/-4 = -4x/-4 left 1 OK left 2/4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:49.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = -4x/-4 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 1 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:36:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 2 BUG rds 2/4 = x strategic Simplify the fraction 2/4. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:37:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 3 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:37:13.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 OK 2/4 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:37:19.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 4 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:37:21.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 2 BUG 2 2
Perhaps you should fill in the answers above. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:37:34.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 1 ERROR 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:37:37.0 HINT HINT ES_02b 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:37:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 5 BUG divide 2 Simplify the fraction 2/4. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:02.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 6 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:10.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 3 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:15.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 1 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:18.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 3 BUG 2 2
Perhaps you should fill in the answers above. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR -4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR -4x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:31.0 HINT HINT ES_02b ES_02-10 EG44 row3-N-constant factors strategic 4 INITIAL_HINT -4x 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:38.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 7 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:42.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 4 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:44.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 5 ERROR 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:49.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 6 ERROR 4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 7 ERROR 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:38:54.0 HINT HINT ES_02b ES_02-10 EG44 row3-N-constant factors strategic 8 INITIAL_HINT 2/4 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 9 ERROR 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 10 ERROR 4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:09.0 HINT HINT ES_02b ES_02-10 EG44 row3-N-constant factors strategic 11 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:13.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:17.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 2, by 2, the common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:22.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 12 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 2 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:30.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 4 ERROR 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:37.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 5 ERROR 24 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 6 OK 2/4 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:48.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 8 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:50.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 5 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:51.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 13 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 3 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:39:55.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 7 ERROR 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:40:02.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 8 ERROR 4 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:40:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 9 OK 2/4 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:40:22.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 9 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:40:27.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 6 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:40:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 14 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:40:30.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 4 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:43:01.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 10 ERROR 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:43:07.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 11 ERROR 4/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:44:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 12 ERROR 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:44:24.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 13 OK 2/4 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:44:31.0 HINT HINT ES_02b ES_02-10 EG44 2/4 = x strategic 10 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:44:38.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:44:56.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 11 BUG distribute 2/4 = x strategic Simplify the fraction 2/4. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:01.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 12 BUG rds 2/4 = x strategic Simplify the fraction 2/4. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:07.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 13 BUG rds 2/4 = x strategic Simplify the fraction 2/4. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:13.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 14 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:16.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 7 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:17.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 15 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:18.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 5 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:20.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 14 ERROR 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:24.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 15 ERROR 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 16 OK 2/4 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:42.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/4 = x strategic 15 OK rf 2/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:48.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 8 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:49.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 16 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:51.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 6 OK 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:45:58.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 17 ERROR 2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:46:14.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -4x strategic 2 BUG divide -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:46:34.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -4x strategic 3 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:47:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/-4 = -4x/-4 left 2 OK left 1/2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
2n8Nx session4 2007-03-26 16:47:09.0 CYCLE CYCLE ES_02b ES_02-10 EG44 1/2 = -4x/-4 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
3U76g session0 2007-03-27 10:26:18.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 2+(-6y) strategic 1 ERROR add -6 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:26:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 2+(-6y) strategic 2 BUG divide 2 You want to isolate -6y by removing 2 from the right side. 2 is added to -6y. What is the opposite of addition? BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:26:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 2+(-6y) strategic 3 ERROR subtract -6 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:26:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1 = 2+(-6y) strategic 4 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:27:18.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1-2 = 2+(-6y)-2 strategic 1 BUG add -6 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:27:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1-2 = 2+(-6y)-2 strategic 2 OK clt 1-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:27:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1 = 2+(-6y)-2 strategic 1 OK clt 2+(-6y)-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:27:41.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1 = -6y strategic 1 OK divide -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:27:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/-6 = -6y/-6 strategic 1 OK rf -1/-6 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:27:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 1/6 = -6y/-6 strategic 1 OK rf -6y/-6 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:28:18.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x+4 = 5 strategic 1 ERROR clt 4x+4 = 5 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:28:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x+4 = 5 strategic 2 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:06.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x+4-4 = 5-4 strategic 1 OK clt 4x+4-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:06.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x = 5-4 strategic 1 OK clt 5-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x = 1 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4x/4 = 1/4 strategic 1 OK rf 4x/4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:43.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = -4y+(-5) strategic 1 ERROR subtract -4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5-(-4) = -4y+(-5)-(-4) strategic 1 ERROR rf -5-(-4) = -4y+(-5)-(-4) strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = -4y+(-5) strategic 2 ERROR clt -5 = -4y+(-5) strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:29:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = -4y+(-5) strategic 3 ERROR subtract -4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:30:10.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = -4y+(-5) strategic 4 ERROR subtract -4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:30:16.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = -4y+(-5) strategic 5 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:30:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5/-4 = (-4y+(-5))/-4 strategic 1 OK rf -5/-4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:30:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5/4 = (-4y+(-5))/-4 strategic 1 OK rf (-4y+(-5))/-4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:30:27.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5/4 = -(-4y+(-5))/4 strategic 1 ERROR rf 5/4 = -(-4y+(-5))/4 strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:30:32.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5/4 = -(-4y+(-5))/4 strategic 2 OK rds 5/4 = -(-4y+(-5))/4 strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
3U76g session0 2007-03-27 10:30:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5/4 = -(-4y-5)/4 strategic 1 ERROR add -4 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
4l6ZQ session0 2007-03-20 10:00:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = 5+(-4y) strategic 1 ERROR clt 9 = 5+(-4y) strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
4l6ZQ session0 2007-03-20 10:00:46.0 HINT HINT ES_02b ES_02-5 EG40 9 = 5+(-4y) strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
4l6ZQ session0 2007-03-20 10:00:47.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
5NRy5 session0 2007-03-26 10:19:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 9y+(-6) strategic 1 ERROR distribute -7 = 9y+(-6) strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:19:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 9y+(-6) strategic 2 OK subtract -6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:19:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-(-6) = 9y+(-6)-(-6) strategic 1 OK rds -7-(-6) = 9y+(-6)-(-6) strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:19:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+6 = 9y-6+6 strategic 1 OK clt -7+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:19:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 9y-6+6 strategic 1 OK clt 9y-6+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:20:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 9y strategic 1 BUG divide -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:20:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 9y strategic 2 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:20:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/9 = 9y/9 strategic 1 OK rf 9y/9 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:20:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+9x = -2 strategic 1 OK subtract -4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:21:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+9x-(-4) = -2-(-4) strategic 1 OK rds -4+9x-(-4) = -2-(-4) strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:21:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+9x+4 = -2+4 strategic 1 OK clt -4+9x+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:21:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -2+4 strategic 1 OK clt -2+4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:21:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = 2 strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:21:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x/9 = 2/9 strategic 1 OK rf 9x/9 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:21:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x+(-9) = -3 strategic 1 ERROR subtract 3 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:21:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x+(-9) = -3 strategic 2 ERROR subtract 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:22:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x+(-9) = -3 strategic 3 ERROR subtract 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:22:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x+(-9) = -3 strategic 4 OK rds 2x+(-9) = -3 strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:22:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 1 ERROR clt 2x-9 = -3 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:22:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 2 ERROR subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:23:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 3 ERROR subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:23:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 4 ERROR rf 2x-9 = -3 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:23:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 5 ERROR clt 2x-9 = -3 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 6 BUG subtract -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 7 BUG add -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9 = -3 strategic 8 OK subtract -9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9-(-9) = -3-(-9) strategic 1 OK rds 2x-9-(-9) = -3-(-9) strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x-9+9 = -3+9 strategic 1 OK clt 2x-9+9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x = -3+9 strategic 1 OK clt -3+9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x = 6 strategic 1 OK divide 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x/2 = 6/2 strategic 1 OK rf 2x/2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5NRy5 session0 2007-03-26 10:24:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 6/2 strategic 1 OK rf 6/2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
5i6I6 session0 2007-03-20 09:56:18.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 8 = 2x+4 strategic 1 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:56:41.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 8-4 = 2x+4-4 strategic 1 OK clt 8-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:56:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4 = 2x+4-4 strategic 1 OK clt 2x+4-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:56:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4 = 2x strategic 1 ERROR distribute 4 = 2x strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:57:09.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4 = 2x strategic 2 BUG divide 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:57:17.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4 = 2x strategic 3 OK divide 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:57:27.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4/2 = 2x/2 strategic 1 BUG rds 4/2 = 2x/2 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:57:36.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4/2 = 2x/2 strategic 2 BUG rds 4/2 = 2x/2 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:57:43.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4/2 = 2x/2 strategic 3 BUG mt 4/2 = 2x/2 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:58:16.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4/2 = 2x/2 strategic 4 BUG divide 2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:58:22.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4/2 = 2x/2 strategic 5 BUG divide 4 Simplify the fraction 4/2. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:58:34.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4/2 = 2x/2 strategic 6 OK rf 4/2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:58:34.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 2 = 2x/2 strategic 1 OK rf 2x/2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:59:01.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+9x = 0 strategic 1 OK add 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:59:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10+9x+10 = 0+10 strategic 1 OK clt -10+9x+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:59:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9x = 0+10 strategic 1 OK clt 0+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:59:17.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9x = 10 strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:59:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 9x/9 = 10/9 strategic 1 OK rf 9x/9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:59:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 0 = -10+(-5y) strategic 1 ERROR add 5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 09:59:53.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 0 = -10+(-5y) strategic 2 ERROR add -5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:00:03.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 0 = -10+(-5y) strategic 3 BUG add -10 To remove -10 from the right side, you can add a positive to it. Erase your last step and add 10 to both sides. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:00:10.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 0 = -10+(-5y) strategic 4 OK add 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:00:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 0+10 = -10+(-5y)+10 strategic 1 OK clt 0+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:00:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 10 = -10+(-5y)+10 strategic 1 OK clt -10+(-5y)+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:00:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 10 = -5y strategic 1 OK divide -5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:00:28.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 10/-5 = -5y/-5 strategic 1 OK rf 10/-5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:00:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -2 = -5y/-5 strategic 1 OK rf -5y/-5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:01:11.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 10 = 9y+(-3) strategic 1 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:01:18.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 10 = 9y+(-3) strategic 2 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:01:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 10 = 9y+(-3) strategic 3 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:02:02.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 10+3 = 9y+(-3)+3 left 1 OK left 13 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:02:14.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y+(-3)+3 right 1 BUG right 9y+-3 You haven't performed any operations. BUG condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:02:32.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y+(-3)+3 right 2 ERROR right 9y(-3) condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:02:39.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y+(-3)+3 right 3 BUG right 9y+(-3) You haven't performed any operations. BUG condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:02:45.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y+(-3)+3 right 4 OK right 9y+(-3)+3 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:02:53.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y-3+3 strategic 1 OK clt 9y-3+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:01.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y1R1 strategic 1 OK 9y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:04.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:06.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 2 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 3 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y-3+3 strategic 2 OK clt 9y-3+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:14.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 4 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:16.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y1R1 strategic 2 OK 9y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:21.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 5 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:29.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 6 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:30.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 7 BUG 3 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:31.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 8 BUG + +
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:32.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms2R1 strategic 1 OK +3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:34.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 9 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:57.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 yR2 strategic 1 OK 9y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:03:59.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 1 BUG 3 3
Perhaps you should fill in all the constant terms above. BUG condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:04:11.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 2 BUG -3 -3
Perhaps you should fill in all the constant terms above. BUG condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:04:14.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 3 OK -3+3 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:04:24.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 1 OK 9y-0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:04:30.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y-0 strategic 1 OK unnec-elems 13=9y-0 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:04:37.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 9y strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:04:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/9 = 9y/9 left 1 OK left 13/9 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:00.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/9 = 9y/9 right 1 OK right 9y/9 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:04.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/9 = 9y/9 strategic 1 BUG clt 13/9 = 9y/9 strategic Simplify the fraction 9y/9. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:09.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/9 = 9y/9 strategic 2 OK rf 9y/9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:14.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-N-y strategic 1 ERROR 9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:16.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-N-y strategic 2 OK y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:18.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-N-constant factors strategic 1 OK 9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-D-constant factors strategic 1 OK 1/[9] condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:29.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 1 OK 9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:35.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2y strategic 1 BUG h h
Perhaps you should fill in the denominator of the y factors above. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:37.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2y strategic 2 BUG y y
Perhaps you should fill in the denominator of the y factors above. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:43.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-D-y strategic 1 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:47.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/9 = 9y/9 strategic 3 OK rf 9y/9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:53.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-D-y strategic 2 ERROR 1/[9] condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-D-constant factors strategic 2 OK 1/[9] condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:58.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-N-constant factors strategic 2 ERROR y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:05:59.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-N-y strategic 3 OK y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:01.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-D-y strategic 3 ERROR 9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:03.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-N-constant factors strategic 3 OK 9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:10.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2constant factors strategic 2 OK 9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:11.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2y strategic 3 BUG 9 9
Perhaps you should fill in the denominator of the y factors above. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:37.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-N-constant factors strategic 1 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:39.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:52.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2y strategic 4 BUG 0 0
Perhaps you should fill in the denominator of the y factors above. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row2y strategic 5 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:06:57.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-N-y strategic 1 BUG 1 1
Perhaps you should fill in the denominator of the y factors above. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:13.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row1-D-y strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:23.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-N-y strategic 2 OK 1y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:25.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-D-y strategic 1 ERROR 1y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:28.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 row3-D-y strategic 2 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:41.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 2 ERROR 1=y condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:50.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 3 OK 1/1y condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:56.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/9 = 1/1*y strategic 1 OK rf 1/1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:07:59.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 4 OK 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:08:00.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/9 = 1y strategic 1 OK unnec-elems 13/9=1y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = y/-4+(-5) strategic 1 OK add 5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3+5 = y/-4+(-5)+5 strategic 1 OK clt 3+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 8 = y/-4+(-5)+5 strategic 1 OK clt y/-4+(-5)+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 8 = y/-4 strategic 1 OK multiply -4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 8*(-4) = y/-4*(-4) strategic 1 OK mt 8*(-4) condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -32 = y/-4*(-4) strategic 1 OK mt y/-4*(-4) condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:52.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7+2 = 8 strategic 1 OK subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7+2-2 = 8-2 strategic 1 OK clt x/7+2-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:09:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = 8-2 strategic 1 OK clt 8-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:10:06.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = 6 strategic 1 OK multiply 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:10:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7*7 = 6*7 strategic 1 OK mt x/7*7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:10:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = 6*7 strategic 1 OK mt 6*7 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:11:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4 = -5 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 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:11:29.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4 = -5 strategic 2 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:11:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4+8 = -5+8 left 1 OK left -8+x/4+8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:11:49.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4+8 = -5+8 right 1 OK right -5+8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:11:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4+8 = -5+8 strategic 1 OK clt -8+x/4+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:11:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 1 OK +x/4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 1 OK +8 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 2 BUG 8 Be sure to select both the term and the negative sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:11.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 xR2 strategic 1 OK x/4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:28.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 1 BUG 8 8
Perhaps you should fill in all the constant terms above. BUG condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 2 BUG -8 -8
Perhaps you should fill in all the constant terms above. BUG condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:12:57.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 3 OK -8+8 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:13:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 OK x/4+0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:13:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = -5+8 strategic 1 OK unnec-elems x/4+0=-5+8 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:13:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = -5+8 strategic 2 OK clt -5+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:13:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 ERROR 0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:13:44.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 OK 3 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:13:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = 3 strategic 1 BUG multiply 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:14:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = 3 strategic 2 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:14:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 3*4 left 1 BUG left x/4+0 You haven't performed any operations. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:14:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 3*4 left 2 ERROR left (x/4+0) condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:14:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 3*4 left 3 ERROR left 0 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:14:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 3*4 left 4 OK left (x/4+0)*4 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:15:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 3*4 right 1 OK right 12 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:15:04.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 12 strategic 1 OK unnec-elems (x/4+0)*4=12 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:15:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4*4 = 12 strategic 1 BUG multiply 4 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:15:27.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4*4 = 12 strategic 2 BUG multiply x/4 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:15:40.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4*4 = 12 strategic 3 BUG multiply 12 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:17:10.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4*4 = 12 strategic 4 BUG multiply x Put the expression in its simplest form by performing multiplication on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:17:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4*4 = 12 strategic 5 OK mt x/4*4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:17:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-num-node strategic 1 OK 4x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:17:57.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:18:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 4 OK 4x/4 condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:19:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4 = 12 strategic 1 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:19:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4*4 = 12*4 left 1 OK left 4x/4*4 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:19:42.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4*4 = 12*4 right 1 ERROR right 12.4 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:19:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4*4 = 12*4 right 2 OK right 12*4 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:19:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4*4 = 12*4 strategic 1 OK mt 4x/4*4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:20:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-num-node strategic 2 ERROR 4x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:20:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-num-node strategic 3 OK 16x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:20:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-den-node strategic 2 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:20:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 5 ERROR 4x/2 condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:20:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 6 OK 4x/1 condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:20:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/1 = 12*4 strategic 1 OK mt 12*4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:20:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 7 OK 48 condition 4 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:21:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/1 = 48 strategic 1 BUG multiply 4 To remove the you need to multiply. Erase your last step and then multiply both sides by 1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:24:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4 = -5 strategic 3 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:05.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4+8 = -5+8 left 2 OK left -8+x/4+8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4+8 = -5+8 right 2 OK right -5+8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8+x/4+8 = -5+8 strategic 2 OK clt -8+x/4+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 2 OK +x/4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:28.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 2 OK +8 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 xR2 strategic 2 OK x/4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 4 OK -8+8 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 8 OK x/4+0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = -5+8 strategic 3 OK unnec-elems x/4+0=-5+8 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = -5+8 strategic 4 OK clt -5+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:25:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 9 OK 3 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:26:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = 3 strategic 3 BUG add 0 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session0 2007-03-20 10:28:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4+0 = 3 strategic 4 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:42:40.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 3*4 right 1 OK right 12 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:43:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 12 left 1 ERROR left 4x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:43:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 12 left 2 ERROR left (4x) condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:43:25.0 HINT HINT ES_02orig ES_02-8 EG41 (x/4+0)*4 = 12 strategic 1 INITIAL_HINT condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:43:35.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in (x/4+0)*4 on the left. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:44:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 12 left 3 OK left (x/4+0)*4 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:44:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 (x/4+0)*4 = 12 strategic 2 OK unnec-elems (x/4+0)*4=12 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:44:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/4*4 = 12 strategic 1 OK mt x/4*4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:44:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-num-node strategic 1 OK 4x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:44:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:44:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 OK 4x/4 condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:44:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4 = 12 strategic 1 BUG multiply 4x/4 Simplify the fraction 4x/4. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4 = 12 strategic 2 OK rf 4x/4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-constant factors strategic 1 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-x strategic 1 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:11.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 1 ERROR 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 2 OK 1/[4] condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-x strategic 1 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2constant factors strategic 1 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2x strategic 1 ERROR 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2x strategic 2 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:45:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:04.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 1 ERROR 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 2 ERROR 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 3 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 1 ERROR x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:29.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 2 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:33.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 ERROR 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:39.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 ERROR 1x/x condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:46:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 4 OK 1x/1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:05.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 1 BUG multiply 121 Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 2 OK rf x/1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-x strategic 2 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-constant factors strategic 2 OK 1/[1] condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-x strategic 2 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:28.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 3 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2constant factors strategic 2 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2x strategic 3 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 3 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:39.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 4 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 3 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:42.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 3 ERROR x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 5 ERROR 1x/x condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:47:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 6 OK 1x/1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:48:23.0 HINT HINT ES_02orig ES_02-8 EG41 x/1 = 12 strategic 3 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:48:38.0 HINT HINT ES_02orig ES_02-8 EG41 x/1 = 12 strategic 4 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:48:40.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions in x/1. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:49:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 5 BUG mt x/1 = 12 strategic Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:49:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 6 BUG multiply 12 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:49:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 7 BUG multiply 1 Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:49:44.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 8 BUG multiply 1x Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:50:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 9 BUG multiply x Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:51:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 10 BUG multiply x/1 Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:51:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 11 BUG distribute x/1 = 12 strategic Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:51:39.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 12 BUG rds x/1 = 12 strategic Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:51:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 13 BUG rds x/1 = 12 strategic Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 14 OK rf x/1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-x strategic 3 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:10.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-constant factors strategic 3 OK 1/[1] condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 5 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-x strategic 3 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2constant factors strategic 3 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2x strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 5 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 5 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 7 OK x/1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 15 BUG divide 10 Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:52:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 16 BUG divide 12 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 17 BUG divide 1 Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4x/4 = 12 strategic 3 OK rf 4x/4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-constant factors strategic 4 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-x strategic 4 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 6 OK 1/[4] condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-x strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2constant factors strategic 4 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2x strategic 5 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 5 ERROR 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:48.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 6 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 6 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 5 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 6 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:53:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 8 ERROR 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:54:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 9 OK x/1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:55:49.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 18 BUG multiply 1 Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:56:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1 = 12 strategic 19 BUG multiply 1 Simplify the fraction x/1. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:56:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1*1 = 12*1 right 1 OK right 12 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:56:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/1*1 = 12 left 1 OK left 1x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:56:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 1x = 12 strategic 1 OK unnec-elems 1x=12 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:56:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 8 = x/-2+4 strategic 1 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:56:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 8-4 = x/-2+4-4 left 1 OK left 4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:57:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4 = x/-2+4-4 right 1 ERROR right 0 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:57:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4 = x/-2+4-4 right 2 OK right x/-2 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:57:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4 = x/-2 strategic 1 BUG multiply 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:57:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4*4 = x/-2*4 left 1 OK left 16 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:57:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 16 = x/-2*4 right 1 ERROR right -8x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:57:49.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4 = x/-2 strategic 2 OK multiply -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:58:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 4*(-2) = x/-2*(-2) left 1 OK left -8 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:58:04.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -8 = x/-2*(-2) right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:58:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-5+(-8) = -7 strategic 1 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:58:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-5+(-8)+8 = -7+8 right 1 OK right 1 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:59:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-5+(-8)+8 = 1 left 1 OK left y/-5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:59:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-5 = 1 strategic 1 OK multiply -5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:59:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-5*(-5) = 1*(-5) right 1 OK right -5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:59:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-5*(-5) = -5 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 11:59:59.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y = 5 strategic 1 BUG multiply -5 To remove -5/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -5/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:00:12.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y*(-5) = 5*(-5) strategic 1 OK mt -5/y*(-5) condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:00:13.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 25/y = 5*(-5) strategic 1 OK mt 5*(-5) condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:00:23.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 25/y = -25 strategic 1 BUG multiply 25 To remove 25/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 25/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:00:34.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 25/y*25 = -25*25 strategic 1 OK mt 25/y*25 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:00:34.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 625/y = -25*25 strategic 1 OK mt -25*25 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:00:45.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y = 5 strategic 2 BUG multiply 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:01:00.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y = 5 strategic 3 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:01:11.0 HINT HINT ES_02orig ES_02-9 EG44 -5/y = 5 strategic 4 INITIAL_HINT condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:01:21.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -5/y is -5 divided by y. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:01:27.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:01:35.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y = 5 strategic 5 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:03:01.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y*y = 5y strategic 1 OK mt -5/y*y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:03:08.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5 = 5y strategic 1 OK divide 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:03:15.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/5 = 5y/5 strategic 1 OK rf -5/5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:03:15.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -1 = 5y/5 strategic 1 OK rf 5y/5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:03:17.0 HINT HINT ES_02orig ES_02-9 EG44 -1 = y strategic 1 INITIAL_HINT condition 4 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:03:55.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = 7/y strategic 1 ERROR divide y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:05:03.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = 7/y strategic 2 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:05:13.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = 7/y strategic 3 ERROR divide 7 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:05:36.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = 7/y strategic 4 BUG multiply 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:05:56.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = 7/y strategic 5 ERROR multiply 77777777777777777777777777777777777777 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:06:04.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = 7/y strategic 6 BUG multiply 7 To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:06:14.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6 = 7/y strategic 7 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:06:21.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6y = 7/y*y strategic 1 OK mt 7/y*y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:06:28.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6y = 7 strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:06:31.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 6y/6 = 7/6 strategic 1 OK rf 6y/6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:07:51.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/x = -6 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:08:00.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/x*x = -6x strategic 1 OK mt -5/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:08:17.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5 = -6x strategic 1 OK divide -6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:08:24.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/-6 = -6x/-6 strategic 1 OK rf -5/-6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:08:25.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/6 = -6x/-6 strategic 1 OK rf -6x/-6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:08:51.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/x = -3 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:08:55.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/x*x = -3x strategic 1 OK mt 8/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:01.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8 = -3x strategic 1 OK divide -3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:06.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/-3 = -3x/-3 strategic 1 BUG rds 8/-3 = -3x/-3 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:17.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/-3 = -3x/-3 strategic 2 OK rf 8/-3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:17.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -8/3 = -3x/-3 strategic 1 OK rf -3x/-3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:40.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -8/x = -2 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:43.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -8/x*x = -2x strategic 1 OK mt -8/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:50.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -8 = -2x strategic 1 OK divide -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:57.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -8/-2 = -2x/-2 strategic 1 OK rf -8/-2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:09:57.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 4 = -2x/-2 strategic 1 OK rf -2x/-2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:10:26.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6/x = -8 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:10:37.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6/x*x = -8x left 1 BUG left -6/x You haven't performed any operations. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:10:46.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6/x*x = -8x left 2 OK left -6/x*x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:10:51.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6/x*x = -8x right 1 OK right -8x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:10:57.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6/x*x = -8x strategic 1 OK mt -6/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:11:03.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 pm-r-num-node strategic 1 OK -6x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:11:07.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 pm-r-den-node strategic 1 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:11:12.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 1 OK -6x/x condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:12:52.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x = -8x strategic 1 BUG multiply -6x Simplify the fraction -6x/x. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:13:04.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x = -8x strategic 2 BUG multiply 6 Simplify the fraction -6x/x. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:13:20.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6/x*x = -8x strategic 2 OK mt -6/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:13:27.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 pm-r-num-node strategic 2 OK -6x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:13:34.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 pm-r-den-node strategic 2 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:13:41.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 2 OK -6x/x condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:13:57.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x = -8x strategic 3 BUG multiply 6 Simplify the fraction -6x/x. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:14:07.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*6 = -8x*6 right 1 OK right -48x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:14:12.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*6 = -48x left 1 ERROR left x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:14:22.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*6 = -48x left 2 ERROR left 0 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:17:34.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x = -8x strategic 4 BUG multiply -6 To remove -6x/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -6x/x. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:17:44.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*(-6) = -8x*(-6) right 1 OK right 48x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:17:55.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*(-6) = 48x left 1 ERROR left -36x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:25:48.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x = -8x strategic 5 BUG divide -8 Simplify the fraction -6x/x. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:26:06.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x = -8x strategic 6 BUG multiply 6 Simplify the fraction -6x/x. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:26:20.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*6 = -8x*6 left 1 ERROR left -36x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:26:51.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*6 = -8x*6 left 2 ERROR left x/x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5i6I6 session1 2007-03-22 12:26:59.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -6x/x*6 = -8x*6 left 3 ERROR left x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
5xp0G session0 2007-02-20 15:34:39.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10 = 2y+(-3) strategic 1 OK subtract -3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:34:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -10-(-3) = 2y+(-3)-(-3) strategic 1 OK clt -10-(-3) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:34:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7 = 2y+(-3)-(-3) strategic 1 OK clt 2y+(-3)-(-3) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7 = 2y strategic 1 ERROR divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:10.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7 = 2y strategic 2 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7 = 2y strategic 3 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/2 = 2y/2 strategic 1 BUG distribute -7/2 = 2y/2 strategic Simplify the fraction 2y/2. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:34.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/2 = 2y/2 strategic 2 BUG divide -14 Simplify the fraction 2y/2. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/2 = 2y/2 strategic 3 BUG divide 2 Simplify the fraction 2y/2. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:49.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/2 = 2y/2 strategic 4 BUG rds -7/2 = 2y/2 strategic Simplify the fraction 2y/2. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:35:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/2 = 2y/2 strategic 5 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:36:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8 = 6+9y strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:36:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8-6 = 6+9y-6 strategic 1 OK clt -8-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:36:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -14 = 6+9y-6 strategic 1 OK clt 6+9y-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:36:30.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -14 = 9y strategic 1 BUG subtract 9 In 9y, y is multiplied by 9. How do you undo multiplication? BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:36:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -14 = 9y strategic 2 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:36:42.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -14/9 = 9y/9 strategic 1 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:01.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = -5y+(-2) strategic 1 OK subtract -2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:05.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10-(-2) = -5y+(-2)-(-2) strategic 1 OK clt 10-(-2) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:05.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12 = -5y+(-2)-(-2) strategic 1 OK clt -5y+(-2)-(-2) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:11.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12 = -5y strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:16.0 CYCLE CYCLE ES_02b ES_02-5 EG40 12/-5 = -5y/-5 strategic 1 OK rf 12/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:16.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -12/5 = -5y/-5 strategic 1 OK rf -5y/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8+(-1y) = 5 strategic 1 OK subtract -8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -8+(-1y)-(-8) = 5-(-8) strategic 1 OK clt -8+(-1y)-(-8) condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1y = 5-(-8) strategic 1 OK clt 5-(-8) condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1y = 13 strategic 1 OK divide -1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1y/-1 = 13/-1 strategic 1 OK mt -1y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:37:58.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -y/-1 = 13/-1 strategic 1 BUG rds -y/-1 = 13/-1 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:38:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -y/-1 = 13/-1 strategic 2 OK rf -y/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session0 2007-02-20 15:38:03.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = 13/-1 strategic 1 OK rf 13/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:22:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4 = -2y+1 strategic 1 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:22:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 4-1 = -2y+1-1 strategic 1 OK clt 4-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:22:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3 = -2y+1-1 strategic 1 OK clt -2y+1-1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:22:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3 = -2y strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:22:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3/-2 = -2y/-2 strategic 1 OK rf 3/-2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:22:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3/2 = -2y/-2 strategic 1 OK rf -2y/-2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:30:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9 = -7+2x strategic 1 OK subtract -7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:30:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9-(-7) = -7+2x-(-7) left 1 BUG left -2 -2 is equal to -9 minus -7. You need to calculate 9 minus -7. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:30:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9-(-7) = -7+2x-(-7) left 2 BUG left 2 2 is equal to 9 plus -7. You need to calculate 9 minus -7. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:31:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9-(-7) = -7+2x-(-7) left 3 OK left 9-(-7) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:31:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = -7+2x-(-7) right 1 ERROR right 7+2x-(-7) condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:32:13.0 HINT HINT ES_02b ES_02-6 EG40 9+7 = -7+2x-(-7) strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:32:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = -7+2x-(-7) right 2 ERROR right -7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:32:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = -7+2x-(-7) right 3 BUG right -7+2x-7 -7+2x-7 is equal to -7+2x plus -7. You need to calculate -7+2x minus -7. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:33:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = -7+2x-(-7) right 4 OK right 2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:33:23.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = 2x strategic 1 BUG subtract 7 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:33:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = 2x strategic 2 BUG add 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:33:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = 2x strategic 3 BUG subtract -7 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:34:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = 2x strategic 4 ERROR rds 9+7 = 2x strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:34:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = 2x strategic 5 BUG subtract -9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:34:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = 2x strategic 6 ERROR distribute 9+7 = 2x strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:34:41.0 HINT HINT ES_02b ES_02-6 EG40 9+7 = 2x strategic 7 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:34:43.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:34:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9+7 = 2x strategic 8 OK clt 9+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:34:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 ERROR 10 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:00.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT 10 Simplify the expression [9]+[7]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:03.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK 16 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 16 = 2x strategic 1 ERROR distribute 16 = 2x strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 16 = 2x strategic 2 BUG divide 2x Dividing anything by itself will leave 1. If you divide 2x by 2, x will be left. Erase your last step and then divide by 2. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 16 = 2x strategic 3 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:44.0 CYCLE CYCLE ES_02b ES_02-6 EG40 16/2 = 2x/2 left 1 OK left 8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:35:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8 = 2x/2 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:36:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7+9y = 9 strategic 1 ERROR divide -9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:36:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7+9y = 9 strategic 2 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 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:37:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7+9y = 9 strategic 3 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:37:12.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7+9y+7 = 9+7 left 1 OK left 9y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:37:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9y = 9+7 right 1 OK right 16 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:37:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9y = 16 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:37:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9y/9 = 16/9 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:37:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = 16/9 right 1 OK right 16/9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5 = 4+(-1y) strategic 1 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5 = 4+(-1y) strategic 2 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:17.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5-4 = 4+(-1y)-4 left 1 ERROR left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5-4 = 4+(-1y)-4 left 2 ERROR left -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5-4 = 4+(-1y)-4 right 1 OK right -1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5-4 = -1y left 1 OK left -5-4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:54.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5-4 = -1y strategic 1 OK clt -5-4 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:38:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 ERROR -2 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:39:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 ERROR 2 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:39:04.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT 2 Simplify the expression [-5]+[-4]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:39:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 4 OK -9 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:39:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9 = -1y strategic 1 OK divide -1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:39:39.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9/-1 = -1y/-1 left 1 BUG left -9 You are dividing a negative by a negative. The result should be positive. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:39:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -9/-1 = -1y/-1 left 2 OK left 9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:39:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 9 = -1y/-1 right 1 OK right y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = -9x+3 strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:10.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-3 = -9x+3-3 left 1 OK left -3-3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:12.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-3 = -9x+3-3 right 1 BUG right 9x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-3 = -9x+3-3 right 2 OK right -9x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3-3 = -9x strategic 1 OK clt -3-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:25.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK -6 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6 = -9x strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6/-9 = -9x/-9 left 1 BUG left -6/9 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6/-9 = -9x/-9 left 2 OK left -6/-9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6/-9 = -9x/-9 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6/-9 = x strategic 1 OK rf -6/-9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:40:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 1 BUG 3 3
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 2 OK -3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:13.0 HINT HINT ES_02b ES_02-6 EG40 row3-N-constant factors strategic 3 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:23.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:29.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -6, by -3, the common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:34.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type 2. HINT 4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 4 OK 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 1 ERROR 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 2 ERROR 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 3 ERROR -1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:47.0 HINT HINT ES_02b ES_02-6 EG40 row3-D-constant factors strategic 4 INITIAL_HINT -1 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:53.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 5 ERROR -9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:55.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:56.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -9, by -3, the common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:41:56.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Type 3. HINT 4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:00.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 6 OK 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:05.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 ERROR 3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:07.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT 3 In the above expression you have -6/-9. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:08.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE To simplify, divide -9 into -6. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:09.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE Type 2/3. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 4 OK 2/3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3y+2 = -5 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3y+2-2 = -5-2 left 1 OK left -3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3y = -5-2 right 1 OK right -5-2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3y = -5-2 strategic 1 OK clt -5-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 ERROR -8 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK -7 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3y = -7 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:42:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3y/-3 = -7/-3 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:43:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -7/-3 right 1 ERROR right -10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:43:36.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -7/-3 right 2 OK right -7/-3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:43:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -7/-3 strategic 1 OK rf -7/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:43:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 OK -7/-3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:43:56.0 HINT HINT ES_02b ES_02-6 EG40 y = -7/-3 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session1 2007-02-27 15:44:00.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -7/-3 strategic 3 OK rf -7/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:18:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK 7/3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:29:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = y/9+(-8) strategic 1 ERROR divide -8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:29:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = y/9+(-8) strategic 2 ERROR mt 2 = y/9+(-8) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:29:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = y/9+(-8) strategic 3 ERROR multiply -8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = y/9+(-8) strategic 4 OK add 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2+8 = y/9+(-8)+8 strategic 1 OK clt 2+8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10 = y/9+(-8)+8 strategic 1 OK clt y/9+(-8)+8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10 = y/9 strategic 1 ERROR rds 10 = y/9 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:24.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10 = y/9 strategic 2 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10*9 = y/9*9 strategic 1 OK mt 10*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 90 = y/9*9 strategic 1 OK mt y/9*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = -2+x/2 strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:30:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+2 = -2+x/2+2 strategic 1 ERROR mt 5+2 = -2+x/2+2 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:31:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+2 = -2+x/2+2 strategic 2 OK clt 5+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:31:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = -2+x/2+2 strategic 1 OK clt -2+x/2+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:31:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 1 ERROR mt 7 = x/2 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:31:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 2 ERROR divide 14 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:31:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 3 ERROR rf 7 = x/2 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:31:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 4 ERROR mt 7 = x/2 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:31:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 5 ERROR clt 7 = x/2 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:32:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 6 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:32:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 7 ERROR divide 2/x condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:32:22.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 8 ERROR distribute 7 = x/2 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:32:52.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 9 ERROR mt 7 = x/2 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:32:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/2 strategic 10 OK multiply 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:33:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7*2 = x/2*2 strategic 1 OK mt 7*2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:33:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14 = x/2*2 strategic 1 OK mt x/2*2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:33:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9 = y/-3+10 strategic 1 BUG subtract -10 To remove 10 from the right side, you can subtract a positive from it. Erase your last step and subtract 10 from both sides. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:33:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9 = y/-3+10 strategic 2 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:33:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9 = y/-3+10 strategic 3 BUG clt 9 = y/-3+10 strategic Simplify the fraction y/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9 = y/-3+10 strategic 4 OK subtract 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9-10 = y/-3+10-10 strategic 1 BUG mt 9-10 = y/-3+10-10 strategic Simplify the fraction y/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9-10 = y/-3+10-10 strategic 2 OK clt 9-10 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1 = y/-3+10-10 strategic 1 OK clt y/-3+10-10 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:35.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1 = y/-3 strategic 1 BUG multiply 1 To remove the you need to multiply. Erase your last step and then multiply both sides by -3. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1*1 = y/-3*1 strategic 1 OK unnec-elems -1*1=y/-3*1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1 = y/-3 strategic 2 OK multiply -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1*(-3) = y/-3*(-3) strategic 1 OK mt -1*(-3) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:34:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = y/-3*(-3) strategic 1 OK mt y/-3*(-3) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:35:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-1) = -1 strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:35:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-1)+1 = -1+1 strategic 1 OK clt y/7+(-1)+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:35:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = -1+1 strategic 1 OK clt -1+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:35:52.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = 0 strategic 1 ERROR multiply -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:35:55.0 HINT HINT ES_02b ES_02-7 EG41 y/7 = 0 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:35:57.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE In y/7, y is divided by 7. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:36:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = 0 strategic 3 BUG divide 7 To remove the coefficient of y/7, you need to divide by 1/7 or multiply by 7. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:36:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = 0 strategic 4 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:36:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7*7 = 0*7 strategic 1 OK mt y/7*7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:36:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 0*7 strategic 1 OK mt 0*7 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+x/6 = -1 strategic 1 ERROR add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+x/6 = -1 strategic 2 ERROR subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+x/6 = -1 strategic 3 ERROR clt -3+x/6 = -1 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+x/6 = -1 strategic 4 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+x/6+3 = -1+3 strategic 1 OK clt -3+x/6+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/6 = -1+3 strategic 1 OK clt -1+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/6 = 2 strategic 1 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/6*6 = 2*6 strategic 1 OK mt x/6*6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:37:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 2*6 strategic 1 OK mt 2*6 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:38:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3+(x/-3) = -1 strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:38:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3+(x/-3)-3 = -1-3 strategic 1 OK clt 3+(x/-3)-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:38:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-3 = -1-3 strategic 1 OK clt -1-3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:38:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-3 = -4 strategic 1 OK multiply -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:38:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-3*(-3) = -4*(-3) strategic 1 OK mt x/-3*(-3) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:38:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -4*(-3) strategic 1 OK mt -4*(-3) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2 = -4+(x/-6) strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:28.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2+4 = -4+(x/-6)+4 left 1 OK left 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = -4+(x/-6)+4 right 1 OK right x/-6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = x/-6 strategic 1 BUG mt 6 = x/-6 strategic Simplify the fraction x/-6. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = x/-6 strategic 2 OK rf x/-6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 ERROR 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 2 ERROR -1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:42:55.0 HINT HINT ES_02b ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT -1 In the above expression you have x/-6. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:05.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -6 into x. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:11.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type -x/6. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 4 OK x/-6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:37.0 HINT HINT ES_02b ES_02-8 EG41 6 = x/-6 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:37.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:41.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:48.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = x/-6 strategic 4 OK rf x/-6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:43:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 5 BUG x/6 x/6
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:44:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 6 ERROR x-/6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:44:20.0 HINT HINT ES_02b ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT x-/6 In the above expression you have x/-6. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:44:23.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE To simplify, divide -6 into x. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:44:27.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE Type -x/6. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:44:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 8 OK -x/6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:44:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = -x/6 strategic 1 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:45:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = -x/6 strategic 2 ERROR divide 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:45:08.0 HINT HINT ES_02b ES_02-8 EG41 6 = -x/6 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:45:08.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE In -x/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:45:12.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:45:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = -x/6 strategic 4 OK multiply -6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session2 2007-02-28 15:45:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6/1) = -x/6*(-6/1) left 1 ERROR left -24 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:23:50.0 HINT HINT ES_02b ES_02-8 EG41 6*(-6/1) = -x/6*(-6/1) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:23:51.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in 6*(-6/1) on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:24:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6/1) = -x/6*(-6/1) left 1 OK left 6*-6/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:24:03.0 HINT HINT ES_02b ES_02-8 EG41 6*(-6)/1 = -x/6*(-6/1) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:24:03.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type in -x/6*(-6/1) on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:24:16.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6)/1 = -x/6*(-6/1) right 1 ERROR right 6*-6/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:24:22.0 HINT HINT ES_02b ES_02-8 EG41 6*(-6)/1 = -x/6*(-6/1) strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:24:23.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Type in -x/6*(-6/1) on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:24:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6)/1 = -x/6*(-6/1) right 2 OK right -x/6*-6/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:25:11.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6)/1 = -x/6*(-6)/1 strategic 1 OK mt -x/6*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:25:17.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6)/1 = -x/6*(-6)/1 strategic 2 OK mt 6*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:25:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 ERROR 1 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:25:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 2 ERROR -1 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:25:25.0 HINT HINT ES_02b ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT -1 Simplify the expression [6]*[-6]. HINT 1 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:25:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6)/1 = -x/6*(-6)/1 strategic 3 OK mt -x/6*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:25:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-num-node strategic 1 ERROR x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-num-node strategic 2 ERROR -6x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-num-node strategic 3 ERROR 6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:06.0 HINT HINT ES_02b ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT 6 You need to multiply the numerators together. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:09.0 HINT HINT ES_02b ES_02-8 EG41 pm-r-num-node strategic 5 INITIAL_HINT 6 You need to multiply the numerators together. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:11.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE What is -x times -6? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:14.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE Type 6x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-num-node strategic 6 OK 6x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-den-node strategic 1 ERROR 6\ condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 pm-r-den-node strategic 2 OK 6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:32.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 4 OK x condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6)/1 = x/1 strategic 1 OK mt 6*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 5 ERROR 1 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:45.0 HINT HINT ES_02b ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT 1 Simplify the expression [6]*[-6]. HINT 1 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:51.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE To simplify this, multiply the numbers together. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:26:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*(-6)/1 = x/1 strategic 2 OK mt 6*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 7 ERROR -24 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 8 ERROR 24 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:09.0 HINT HINT ES_02b ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT 24 Simplify the expression [6]*[-6]. HINT 1 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:10.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE To simplify this, multiply the numbers together. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:13.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE Multiplying [6]*[-6] yields -36. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 10 OK -36 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:39.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36/1 = x/1 strategic 1 BUG divide 1/x Simplify the fraction -36/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36/1 = x/1 strategic 2 BUG rds -36/1 = x/1 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36/1 = x/1 strategic 3 OK rf -36/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 11 BUG 36 36
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 12 OK -36 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:27:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 1 OK rf x/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-x strategic 1 ERROR 1/[1] condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 2 ERROR x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-x strategic 2 OK x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 3 OK 1/[1] condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:31.0 HINT HINT ES_02b ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT Because there are no constant factors in the denominator of x/1, you must double-click in order to enter a 1. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2x strategic 1 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:42.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2x strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-x strategic 1 BUG 1 1
Perhaps you should fill in the denominator of the x factors above. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-x strategic 2 OK x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-x strategic 1 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-x strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:28:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 13 BUG 1 1
Perhaps you should fill in the answers above. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 14 BUG 1/x 1/x
Perhaps you should fill in the answers above. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-x strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 15 OK x/1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 2 OK rf x/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 4 OK 1/[1] condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-x strategic 3 OK x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-x strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2constant factors strategic 3 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2x strategic 3 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-x strategic 3 ERROR 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-x strategic 4 OK x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-x strategic 3 ERROR x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session3 2007-03-06 15:29:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-x strategic 4 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:11:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 1 BUG divide -36 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:12:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 2 BUG divide 1 Simplify the fraction x/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:18.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 3 BUG divide 1 Simplify the fraction x/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 4 OK rf x/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-x strategic 1 ERROR 1/[1] condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:32.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-constant factors strategic 2 OK 1/[1] condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:42.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-N-x strategic 2 OK x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row1-D-x strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row2x strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-x strategic 1 ERROR 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-N-x strategic 2 OK x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:13:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 row3-D-x strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:14:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK x/1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:14:13.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 5 BUG rds -36 = x/1 strategic Simplify the fraction x/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:14:33.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 6 BUG mt -36 = x/1 strategic Simplify the fraction x/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:14:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 7 BUG multiply 1 Simplify the fraction x/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:14:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1 strategic 8 BUG multiply 1 Simplify the fraction x/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:15:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36*1 = x/1*1 left 1 OK left -36 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:15:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -36 = x/1*1 right 1 OK right x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:15:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -10+(y/-8) = 1 strategic 1 OK add 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:15:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -10+(y/-8)+10 = 1+10 left 1 OK left y/-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:15:38.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 1+10 right 1 OK right 11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:15:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 1 OK rf y/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:15:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 BUG y/8 y/8
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 2 OK y/-8 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 2 BUG multiply y/-8 Simplify the fraction y/-8. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:19.0 HINT HINT ES_02b ES_02-8 EG41 y/-8 = 11 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:21.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:24.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 4 BUG rds y/-8 = 11 strategic Simplify the fraction y/-8. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:33.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 5 OK rf y/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 3 BUG y/8 y/8
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 4 ERROR y-/8 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 5 OK y/-8 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:53.0 HINT HINT ES_02b ES_02-8 EG41 y/-8 = 11 strategic 6 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:16:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 7 BUG rds y/-8 = 11 strategic Simplify the fraction y/-8. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:17:17.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 8 BUG divide 8 Simplify the fraction y/-8. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:17:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 9 OK rf y/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:17:33.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 6 BUG y/8 y/8
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:17:57.0 HINT HINT ES_02b ES_02-8 EG41 y/-8 = 11 strategic 10 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:17:58.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:02.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 11 OK rf y/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:13.0 HINT HINT ES_02b ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT In the above expression you have y/-8. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:16.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE To simplify, divide -8 into y. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:20.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE Type -y/8. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 8 OK -y/8 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/8 = 11 strategic 1 ERROR divide 8/y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:18:59.0 HINT HINT ES_02b ES_02-8 EG41 y/-8 = 11 strategic 12 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:01.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:11.0 HINT HINT ES_02b ES_02-8 EG41 y/-8 = 11 strategic 13 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:11.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:15.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 9 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 11 strategic 14 OK rf y/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 9 OK -y/8 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/8 = 11 strategic 2 ERROR rf -y/8 = 11 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/8 = 11 strategic 3 OK multiply -8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:19:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/8*(-8/1) = 11*(-8/1) left 1 OK left y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:20:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 11*(-8/1) right 1 BUG right 88 You are multiplying a positive by a negative. The result should be negative. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:20:18.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 11*(-8/1) right 2 OK right -88 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:20:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 3+(x/-2) = -10 strategic 1 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:20:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 3+(x/-2) = -10 strategic 2 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:21:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 3+(x/-2)-3 = -10-3 left 1 OK left x/-2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:21:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/-2 = -10-3 right 1 OK right -13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:21:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/-2 = -13 strategic 1 OK rf x/-2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:21:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK -x/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:21:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2 = -13 strategic 1 ERROR rf -x/2 = -13 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:21:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2 = -13 strategic 2 BUG multiply -13 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:07.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2 = -13 strategic 3 ERROR multiply x/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:10.0 HINT HINT ES_02b ES_02-8 EG41 -x/2 = -13 strategic 4 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:14.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE In -x/2, x is multiplied by -1/2. How do you change the -1/2 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2 = -13 strategic 5 ERROR multiply 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2 = -13 strategic 6 ERROR mt -x/2 = -13 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2 = -13 strategic 7 ERROR multiply 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:37.0 HINT HINT ES_02b ES_02-8 EG41 -x/2 = -13 strategic 8 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:38.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE In -x/2, x is multiplied by -1/2. How do you change the -1/2 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:41.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Multiplying something by its reciprocal changes it into 1. Multiply both sides by -2/1, which is the same as mulitplying by -2. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:48.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2 = -13 strategic 9 OK multiply -2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:22:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/2*(-2/1) = -13*(-2/1) left 1 OK left x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:23:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = -13*(-2/1) right 1 BUG right -26 You are multiplying a negative by a negative. The result should be positive. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:23:10.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = -13*(-2/1) right 2 OK right 26 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:23:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8+y/9 = -6 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 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:23:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8+y/9 = -6 strategic 2 OK add 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:23:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8+y/9+8 = -6+8 left 1 OK left y/9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:23:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/9 = -6+8 right 1 OK right 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/9 = 2 strategic 1 BUG multiply 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:10.0 HINT HINT ES_02b ES_02-8 EG41 y/9 = 2 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:11.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE In y/9, y is divided by 9. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/9 = 2 strategic 3 BUG divide 9 To remove the coefficient of y/9, you need to divide by 1/9 or multiply by 9. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:36.0 HINT HINT ES_02b ES_02-8 EG41 y/9 = 2 strategic 4 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:37.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE In y/9, y is divided by 9. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:41.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Multiply both sides by 9. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/9 = 2 strategic 5 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/9*9 = 2*9 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:24:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 2*9 right 1 OK right 18 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:25:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-10+9 = -3 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:25:32.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-10+9-9 = -3-9 left 1 OK left y/-10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:25:38.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-10 = -3-9 right 1 OK right -12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-10 = -12 strategic 1 BUG mt y/-10 = -12 strategic Simplify the fraction y/-10. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-10 = -12 strategic 2 OK rf y/-10 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK -y/10 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10 = -12 strategic 1 ERROR multiply 12 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:27.0 HINT HINT ES_02b ES_02-8 EG41 -y/10 = -12 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:28.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE In -y/10, y is multiplied by -1/10. How do you change the -1/10 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:31.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Multiplying something by its reciprocal changes it into 1. Multiply both sides by -10/1, which is the same as mulitplying by -10. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10 = -12 strategic 3 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10*10 = -12*10 left 1 BUG left y You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10*10 = -12*10 left 2 OK left -y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y = -12*10 right 1 OK right -120 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y = -120 strategic 1 ERROR rf -y = -120 strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:26:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y = -120 strategic 2 ERROR rds -y = -120 strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:07.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y = -120 strategic 3 BUG divide -120 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y = -120 strategic 4 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 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:24.0 HINT HINT ES_02b ES_02-8 EG41 -y = -120 strategic 5 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:25.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:29.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10 = -12 strategic 4 ERROR multiply -y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10 = -12 strategic 5 ERROR mt -y/10 = -12 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:27:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10 = -12 strategic 6 ERROR rf -y/10 = -12 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:28:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10 = -12 strategic 7 OK multiply -10 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:28:11.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10*(-10/1) = -12*(-10/1) left 1 BUG left -y You are multiplying a negative by a negative. The result should be positive. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:28:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/10*(-10/1) = -12*(-10/1) left 2 OK left y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:28:16.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = -12*(-10/1) right 1 OK right 120 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:28:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 1 = 8+(x/-6) strategic 1 BUG subtract -8 To remove 8 from the right side, you can subtract a positive from it. Erase your last step and subtract 8 from both sides. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:29:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 1 = 8+(x/-6) strategic 2 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:29:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 1-8 = 8+(x/-6)-8 left 1 BUG left 7 You need to calculate 1 minus 8, not 8 minus 1. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:29:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 1-8 = 8+(x/-6)-8 left 2 ERROR left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:29:29.0 CYCLE CYCLE ES_02b ES_02-8 EG41 1-8 = 8+(x/-6)-8 right 1 OK right x/-6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:29:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 1-8 = x/-6 left 1 BUG left -9 -9 is equal to -1 minus 8. You need to calculate 1 minus 8. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:29:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 1-8 = x/-6 left 2 OK left -7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:02.0 HINT HINT ES_02b ES_02-8 EG41 -7 = x/-6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:03.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7 = x/-6 strategic 2 OK rf x/-6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:16.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK -x/6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:41.0 HINT HINT ES_02b ES_02-8 EG41 -7 = -x/6 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:42.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE In -x/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7 = -x/6 strategic 2 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7*6 = -x/6*6 left 1 ERROR left -49 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:31:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7*6 = -x/6*6 left 2 ERROR left 49 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:32:07.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7*6 = -x/6*6 left 3 OK left -42 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:32:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -42 = -x/6*6 right 1 BUG right x You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:32:23.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -42 = -x/6*6 right 2 OK right -x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:32:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -42 = -x strategic 1 ERROR rf -42 = -x strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:32:39.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -42 = -x strategic 2 BUG divide -42 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:32:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7 = -x/6 strategic 3 ERROR mt -7 = -x/6 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:33:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7 = -x/6 strategic 4 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:33:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7*6 = -x/6*6 left 4 BUG left 42 You are multiplying a negative by a positive. The result should be negative. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:33:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7*6 = -x/6*6 left 5 OK left -42 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:33:13.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -42 = -x/6*6 right 3 OK right -x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:33:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -42 = -x strategic 3 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:33:27.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -42/-1 = -x/-1 left 1 OK left 42 condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:33:29.0 CYCLE CYCLE ES_02b ES_02-8 EG41 42 = -x/-1 right 1 OK right x condition 2 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:34:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8 = -7+x/6 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:34:10.0 CYCLE CYCLE ES_02b ES_02-8 EG41 8+7 = -7+x/6+7 left 1 OK left 15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:34:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 15 = -7+x/6+7 right 1 ERROR right x*6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:34:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 15 = -7+x/6+7 right 2 OK right x/6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:34:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 15 = x/6 strategic 1 ERROR rf 15 = x/6 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:01.0 HINT HINT ES_02b ES_02-8 EG41 15 = x/6 strategic 2 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:01.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE In x/6, x is divided by 6. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 15 = x/6 strategic 3 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 15*6 = x/6*6 left 1 OK left 90 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 90 = x/6*6 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 9 = y/10+3 strategic 1 OK subtract 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 9-3 = y/10+3-3 left 1 OK left 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = y/10+3-3 right 1 OK right y/10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:35:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6 = y/10 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:36:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6*10 = y/10*10 left 1 OK left 60 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:36:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 60 = y/10*10 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session4 2007-03-07 15:38:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 1 ERROR divide 4/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:16:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 1 ERROR divide 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:17:57.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 2 BUG multiply 4 To remove 4/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 4/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:18:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 3 ERROR multiply 4/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:18:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 4 ERROR divide 4/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:19:18.0 HINT HINT ES_02b ES_02-9 EG44 1 = 4/y strategic 5 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:19:20.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 4/y is 4 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:19:26.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:19:34.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE 4/y is 4 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:20:03.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 6 ERROR divide 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:20:36.0 HINT HINT ES_02b ES_02-9 EG44 1 = 4/y strategic 7 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:20:37.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE 4/y is 4 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:20:50.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 5 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:21:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 8 ERROR divide y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:21:14.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1 = 4/y strategic 9 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:21:25.0 CYCLE CYCLE ES_02b ES_02-9 EG44 1y = 4/y*y strategic 1 OK mt 1y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:21:25.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 4/y*y strategic 1 OK mt 4/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:22:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 5 strategic 1 BUG multiply -3 To remove -3/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -3/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:22:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 5 strategic 2 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:22:21.0 HINT HINT ES_02b ES_02-9 EG44 -3/x = 5 strategic 3 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:22:24.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -3/x is -3 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:22:29.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:22:34.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 5 strategic 4 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:22:37.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x*x = 5x strategic 1 OK mt -3/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:23:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 5x strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:24:17.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/5 = 5x/5 strategic 1 BUG divide 5 Simplify the fraction 5x/5. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:24:21.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/5 = 5x/5 strategic 2 OK rf 5x/5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:24:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 1 ERROR divide x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:25:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 2 ERROR multiply -x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:25:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 3 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:25:28.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 4 ERROR divide -3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:25:28.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 5 ERROR divide -3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:26:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 6 ERROR divide -x/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:26:40.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 7 ERROR multiply x/3 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:26:44.0 HINT HINT ES_02b ES_02-9 EG44 -3/x = 8 strategic 8 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:26:50.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -3/x is -3 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:26:53.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:26:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x = 8 strategic 9 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/x*x = 8x strategic 1 OK mt -3/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 8x strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:25.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3/8 = 8x/8 strategic 1 OK rf 8x/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:41.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/x = 2 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:45.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/x*x = 2x strategic 1 ERROR rf 10/x*x = 2x strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:48.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/x*x = 2x strategic 2 OK mt 10/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10 = 2x strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:56.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/2 = 2x/2 strategic 1 OK rf 10/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:27:56.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2x/2 strategic 1 OK rf 2x/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:28:42.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = 8/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:28:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x = 8/x*x strategic 1 OK mt 8/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:28:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x = 8 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:28:55.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x/-9 = 8/-9 strategic 1 OK rf -9x/-9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:28:55.0 CYCLE CYCLE ES_02b ES_02-9 EG44 x = 8/-9 strategic 1 OK rf 8/-9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:29:15.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9/x = -3 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:29:17.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9/x*x = -3x strategic 1 ERROR rf 9/x*x = -3x strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:29:34.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9/x*x = -3x strategic 2 OK mt 9/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:29:38.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9 = -3x strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:29:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9/-3 = -3x/-3 strategic 1 OK rf 9/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
5xp0G session5 2007-03-13 14:29:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = -3x/-3 strategic 1 OK rf -3x/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
6Q42M session0 2007-02-22 15:23:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -1y+(-6) strategic 1 OK rds -6 = -1y+(-6) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:23:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -1y-6 strategic 1 ERROR distribute -6 = -1y-6 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:23:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -1y-6 strategic 2 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:13.0 HINT HINT ES_02 ES_02-5 EG40 -6+6 = -1y-6+6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:13.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6 = -1y-6+6 strategic 2 OK clt -6+6 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -1y-6+6 strategic 1 OK clt -1y-6+6 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -1y strategic 1 OK divide -1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:42.0 HINT HINT ES_02 ES_02-5 EG40 0/-1 = -1y/-1 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:43.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/-1 = -1y/-1 strategic 2 BUG rds 0/-1 = -1y/-1 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/-1 = -1y/-1 strategic 3 OK rf 0/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:24:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -1y/-1 strategic 1 OK rf -1y/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:25:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+(-7x) = -8 strategic 1 OK rds 6+(-7x) = -8 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:25:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-7x = -8 strategic 1 ERROR rf 6-7x = -8 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:25:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-7x = -8 strategic 2 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:25:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-7x-6 = -8-6 strategic 1 ERROR rf 6-7x-6 = -8-6 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:25:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-7x-6 = -8-6 strategic 2 ERROR rds 6-7x-6 = -8-6 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:25:58.0 HINT HINT ES_02 ES_02-5 EG40 6-7x-6 = -8-6 strategic 3 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:25:59.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:26:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-7x-6 = -8-6 strategic 4 OK clt 6-7x-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:26:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x = -8-6 strategic 1 OK clt -8-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:26:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x = -14 strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:26:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x/-7 = -14/-7 strategic 1 OK rf -7x/-7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:26:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -14/-7 strategic 1 OK rf -14/-7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:26:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -3y+(-1) strategic 1 OK rds 1 = -3y+(-1) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:27:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -3y-1 strategic 1 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+1 = -3y-1+1 strategic 1 ERROR distribute 1+1 = -3y-1+1 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:08.0 HINT HINT ES_02 ES_02-5 EG40 1+1 = -3y-1+1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:09.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+1 = -3y-1+1 strategic 3 OK clt 1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -3y-1+1 strategic 1 OK clt -3y-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -3y strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/-3 = -3y/-3 strategic 1 OK rf 2/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:28:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/3 = -3y/-3 strategic 1 OK rf -3y/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:29:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 6x+4 strategic 1 OK subtract 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:29:49.0 HINT HINT ES_02 ES_02-5 EG40 -3-4 = 6x+4-4 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:29:50.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:29:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-4 = 6x+4-4 strategic 2 OK clt -3-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:29:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 6x+4-4 strategic 1 OK clt 6x+4-4 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:29:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 6x strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:30:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/6 = 6x/6 strategic 1 OK rf 6x/6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:34:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+6 = 9 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:34:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+6-6 = 9-6 left 1 OK left -9y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:34:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = 9-6 right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = 3 strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = 3/-9 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-9 right 1 BUG right -3 You need to calculate 3 divided by -9, not -9 divided by 3. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-9 right 2 BUG right 3 You haven't performed any operations. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:18.0 HINT HINT ES_02 ES_02-6 EG40 y = 3/-9 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:21.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in 3/-9 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-9 right 3 OK right 3/-9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 3/-9 strategic 2 OK rf 3/-9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 ERROR 18 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:51.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT 18 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:53.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 3 and denominator -9? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:35:56.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE -3 will go into both 3 and -9 and is the most appropriate common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK -3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR -3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:10.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 INITIAL_HINT -3 The common factor between the numerator and denominator of [3]/[-9] is -3. This set of entry boxes represent the simplified form of [3]/[-9]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:11.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:11.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 3, by -3, the common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:15.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Type -1. HINT 4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 OK -1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:28.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT 3 In the above expression you have 3/-9. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:29.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE To simplify, divide -9 into 3. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:31.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE Type -1/3. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:36:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -1/3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:37:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -6+(y/-3) strategic 1 BUG add 3 Simplify the fraction y/-3. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -6+(y/-3) strategic 2 BUG rds -3 = -6+(y/-3) strategic Simplify the fraction y/-3. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -6+(y/-3) strategic 3 BUG rds -3 = -6+(y/-3) strategic Simplify the fraction y/-3. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -6+(y/-3) strategic 4 OK rf y/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:17.0 HINT HINT ES_02 ES_02-7 EG41 -3 = -6+(-y/3) strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:18.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -6+(-y/3) strategic 2 OK rds -3 = -6+(-y/3) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:23.0 HINT HINT ES_02 ES_02-7 EG41 -3 = -6-y/3 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:24.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE -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 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:27.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -6-y/3 strategic 2 OK add 6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+6 = -6-y/3+6 strategic 1 OK clt -3+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -6-y/3+6 strategic 1 OK clt -6-y/3+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:47.0 HINT HINT ES_02 ES_02-7 EG41 3 = -y/3 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:47.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE In -y/3, y is multiplied by -1/3. How do you change the -1/3 into a 1? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:38:51.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE 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 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -y/3 strategic 2 OK multiply -3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*(-3/1) = -y/3*(-3/1) strategic 1 ERROR rds 3*(-3/1) = -y/3*(-3/1) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*(-3/1) = -y/3*(-3/1) strategic 2 OK rf -3/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*(-3) = -y/3*(-3/1) strategic 1 ERROR rds 3*(-3) = -y/3*(-3/1) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*(-3) = -y/3*(-3/1) strategic 2 OK rf -3/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:21.0 HINT HINT ES_02 ES_02-7 EG41 3*(-3) = -y/3*(-3) strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:22.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*(-3) = -y/3*(-3) strategic 2 OK mt 3*(-3) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:39:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = -y/3*(-3) strategic 1 OK mt -y/3*(-3) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2+2 = 2 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:33.0 HINT HINT ES_02 ES_02-7 EG41 y/2+2-2 = 2-2 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:34.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2+2-2 = 2-2 strategic 2 OK clt y/2+2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = 2-2 strategic 1 OK clt 2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:43.0 HINT HINT ES_02 ES_02-7 EG41 y/2 = 0 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:44.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE In y/2, y is divided by 2. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:49.0 HINT HINT ES_02 ES_02-7 EG41 y/2 = 0 strategic 2 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:52.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In y/2, y is divided by 2. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:40:56.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by 2. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = 0 strategic 3 OK multiply 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:03.0 HINT HINT ES_02 ES_02-7 EG41 y/2*2 = 0*2 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:04.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2*2 = 0*2 strategic 2 OK mt y/2*2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 0*2 strategic 1 OK mt 0*2 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+(x/-8) = 1 strategic 1 OK add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+(x/-8)+10 = 1+10 strategic 1 BUG rds -10+(x/-8)+10 = 1+10 strategic Simplify the fraction x/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:36.0 HINT HINT ES_02 ES_02-7 EG41 -10+(x/-8)+10 = 1+10 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:37.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:41.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+(x/-8)+10 = 1+10 strategic 3 OK rf x/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:47.0 HINT HINT ES_02 ES_02-7 EG41 -10+(-x/8)+10 = 1+10 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:48.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+(-x/8)+10 = 1+10 strategic 2 ERROR rf -10+(-x/8)+10 = 1+10 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:54.0 HINT HINT ES_02 ES_02-7 EG41 -10+(-x/8)+10 = 1+10 strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:41:55.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+(-x/8)+10 = 1+10 strategic 4 OK rds -10+(-x/8)+10 = 1+10 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:03.0 HINT HINT ES_02 ES_02-7 EG41 -10-x/8+10 = 1+10 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:03.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10-x/8+10 = 1+10 strategic 2 OK clt -10-x/8+10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8 = 1+10 strategic 1 OK clt 1+10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8 = 11 strategic 1 OK multiply -8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8*(-8/1) = 11*(-8/1) strategic 1 OK rf -8/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8*(-8) = 11*(-8/1) strategic 1 OK rf -8/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:25.0 HINT HINT ES_02 ES_02-7 EG41 -x/8*(-8) = 11*(-8) strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:26.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8*(-8) = 11*(-8) strategic 2 OK mt -x/8*(-8) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 11*(-8) strategic 1 OK mt 11*(-8) condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8+(-6) = 7 strategic 1 OK rds x/-8+(-6) = 7 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:42:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8-6 = 7 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:03.0 HINT HINT ES_02 ES_02-7 EG41 x/-8-6+6 = 7+6 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:03.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:07.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8-6+6 = 7+6 strategic 2 OK rf x/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:11.0 HINT HINT ES_02 ES_02-7 EG41 -x/8-6+6 = 7+6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:12.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8-6+6 = 7+6 strategic 2 OK clt -x/8-6+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8 = 7+6 strategic 1 OK clt 7+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8 = 13 strategic 1 OK multiply -8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8*(-8/1) = 13*(-8/1) strategic 1 OK rf -8/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8*(-8) = 13*(-8/1) strategic 1 OK mt -x/8*(-8) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 13*(-8/1) strategic 1 OK mt 13*(-8/1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:37.0 HINT HINT ES_02 ES_02-7 EG41 x = -104/1 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:37.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:43:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -104/1 strategic 2 OK rf -104/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2+9 = -1 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2+9-9 = -1-9 strategic 1 ERROR rds x/2+9-9 = -1-9 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:29.0 HINT HINT ES_02 ES_02-7 EG41 x/2+9-9 = -1-9 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:30.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2+9-9 = -1-9 strategic 3 OK clt x/2+9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2 = -1-9 strategic 1 OK clt -1-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2 = -10 strategic 1 OK multiply 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2*2 = -10*2 strategic 1 ERROR rf x/2*2 = -10*2 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2*2 = -10*2 strategic 2 OK mt x/2*2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:44:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -10*2 strategic 1 OK mt -10*2 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/8+(-10) strategic 1 ERROR add 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/8+(-10) strategic 2 OK rds -2 = x/8+(-10) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/8-10 strategic 1 OK add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+10 = x/8-10+10 strategic 1 ERROR rds -2+10 = x/8-10+10 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:41.0 HINT HINT ES_02 ES_02-7 EG41 -2+10 = x/8-10+10 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:42.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+10 = x/8-10+10 strategic 3 OK clt -2+10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/8-10+10 strategic 1 OK clt x/8-10+10 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:47.0 HINT HINT ES_02 ES_02-7 EG41 8 = x/8 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:48.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE In x/8, x is divided by 8. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:52.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Multiply both sides by 8. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:45:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/8 strategic 2 OK multiply 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*8 = x/8*8 strategic 1 ERROR rf 8*8 = x/8*8 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*8 = x/8*8 strategic 2 OK mt 8*8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 64 = x/8*8 strategic 1 OK mt x/8*8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10+(-3) = 8 strategic 1 OK rds x/10+(-3) = 8 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10-3 = 8 strategic 1 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:31.0 HINT HINT ES_02 ES_02-7 EG41 x/10-3+3 = 8+3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:32.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10-3+3 = 8+3 strategic 2 OK clt x/10-3+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10 = 8+3 strategic 1 OK clt 8+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10 = 11 strategic 1 OK multiply 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10*10 = 11*10 strategic 1 OK mt x/10*10 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:46:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 11*10 strategic 1 OK mt 11*10 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:47:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+y/10 = 6 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session0 2007-02-22 15:47:07.0 HINT HINT ES_02 ES_02-7 EG41 3+y/10-3 = 6-3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:05.0 HINT HINT ES_02 ES_02-7 EG41 3+y/10-3 = 6-3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:07.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+y/10-3 = 6-3 strategic 2 OK clt 3+y/10-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10 = 6-3 strategic 1 OK clt 6-3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:14.0 HINT HINT ES_02 ES_02-7 EG41 y/10 = 3 strategic 1 INITIAL_HINT condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:15.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE In y/10, y is divided by 10. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:19.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Multiply both sides by 10. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10 = 3 strategic 2 OK multiply 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10*10 = 3*10 strategic 1 ERROR rf y/10*10 = 3*10 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:29.0 HINT HINT ES_02 ES_02-7 EG41 y/10*10 = 3*10 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:30.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10*10 = 3*10 strategic 3 OK mt y/10*10 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:28:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 3*10 strategic 1 OK mt 3*10 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = y/-8+6 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:17.0 HINT HINT ES_02 ES_02-7 EG41 -9-6 = y/-8+6-6 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:18.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:21.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9-6 = y/-8+6-6 strategic 2 OK rf y/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:28.0 HINT HINT ES_02 ES_02-7 EG41 -9-6 = -y/8+6-6 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:28.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9-6 = -y/8+6-6 strategic 2 OK clt -9-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -15 = -y/8+6-6 strategic 1 OK clt -y/8+6-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:36.0 HINT HINT ES_02 ES_02-7 EG41 -15 = -y/8 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:37.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE In -y/8, y is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:40.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE 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 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -15 = -y/8 strategic 2 OK multiply -8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -15*(-8/1) = -y/8*(-8/1) strategic 1 OK mt -15*(-8/1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:29:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 120/1 = -y/8*(-8/1) strategic 1 OK mt -y/8*(-8/1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:30:00.0 HINT HINT ES_02 ES_02-7 EG41 120/1 = y strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:30:00.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:30:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 120/1 = y strategic 2 OK rf 120/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:30:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8+2 = 0 strategic 1 ERROR multiply 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:30:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8+2 = 0 strategic 2 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:30:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8+2-2 = 0-2 strategic 1 OK clt x/8+2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:30:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8 = 0-2 strategic 1 OK clt 0-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8 = -2 strategic 1 OK multiply 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8*8 = -2*8 strategic 1 OK mt x/8*8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -2*8 strategic 1 OK mt -2*8 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+(y/-10) = -5 strategic 1 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+(y/-10)+1 = -5+1 strategic 1 OK rf y/-10 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+(-y/10)+1 = -5+1 strategic 1 OK clt -1+(-y/10)+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/10 = -5+1 strategic 1 OK clt -5+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/10 = -4 strategic 1 OK multiply -10 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/10*(-10/1) = -4*(-10/1) strategic 1 OK mt -y/10*(-10/1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:31:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -4*(-10/1) strategic 1 OK mt -4*(-10/1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 40/1 strategic 1 OK rf 40/1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/9+1 strategic 1 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:47.0 HINT HINT ES_02 ES_02-7 EG41 -4-1 = x/9+1-1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:48.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4-1 = x/9+1-1 strategic 2 OK clt -4-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = x/9+1-1 strategic 1 OK clt x/9+1-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = x/9 strategic 1 OK multiply 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*9 = x/9*9 strategic 1 OK mt -5*9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:32:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -45 = x/9*9 strategic 1 OK mt x/9*9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:34:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9+(x/-7) = 1 strategic 1 OK add 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:34:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9+(x/-7)+9 = 1+9 right 1 OK right 10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:35:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9+(x/-7)+9 = 10 left 1 OK left x/-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:35:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7 = 10 strategic 1 OK multiply -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:35:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-7*(-7) = 10*(-7) left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:35:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = 10*(-7) right 1 OK right -70 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:36:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = y/7+(-3) strategic 1 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:36:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+3 = y/7+(-3)+3 left 1 OK left -7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:36:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = y/7+(-3)+3 right 1 OK right y/7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:36:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = y/7 strategic 1 BUG divide 7 To remove the coefficient of y/7, you need to divide by 1/7 or multiply by 7. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:36:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = y/7 strategic 2 OK multiply 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:36:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*7 = y/7*7 left 1 OK left -49 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:36:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49 = y/7*7 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 6 strategic 1 BUG multiply 8 To remove 8/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 8/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:08.0 HINT HINT ES_02 ES_02-9 EG44 8/x = 6 strategic 2 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:08.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 8/x is 8 divided by x. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:12.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 6 strategic 3 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:20.0 HINT HINT ES_02 ES_02-9 EG44 8/x*x = 6x strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:21.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = 6x strategic 2 OK mt 8/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = 6x strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/6 = 6x/6 strategic 1 OK rf 8/6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:38:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/3 = 6x/6 strategic 1 OK rf 6x/6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 10/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:08.0 HINT HINT ES_02 ES_02-9 EG44 -2x = 10/x*x strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:10.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = 10/x*x strategic 2 OK mt 10/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = 10 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x/-2 = 10/-2 strategic 1 OK rf -2x/-2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 10/-2 strategic 1 OK rf 10/-2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = 9/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10x = 9/x*x strategic 1 OK mt 9/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10x = 9 strategic 1 OK divide -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10x/-10 = 9/-10 strategic 1 OK rf -10x/-10 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:39:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 9/-10 strategic 1 OK rf 9/-10 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:41:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 8 strategic 1 ERROR multiply -x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:41:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 8 strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:41:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 8x right 1 OK right 8x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:41:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 8x left 1 OK left -9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:41:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = 8x strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:41:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/8 = 8x/8 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:41:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/8 = x left 1 OK left -9/8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y = -6 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y*y = -6y right 1 OK right -6y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y*y = -6y left 1 OK left 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = -6y strategic 1 OK divide -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/-6 = -6y/-6 left 1 OK left -4/6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/6 = -6y/-6 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/6 = y strategic 1 BUG rds -4/6 = y strategic Simplify the fraction -4/6. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/6 = y strategic 2 OK rf -4/6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:35.0 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 above in the constant factors. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:37.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -4 and denominator 6? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:40.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE 2 will go into both -4 and 6 and is the most appropriate common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:53.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 INITIAL_HINT 1 The common factor between the numerator and denominator of [-4]/[6] is 2. This set of entry boxes represent the simplified form of [-4]/[6]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:54.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:54.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -4, by 2, the common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:42:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR -4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 BUG 2 2
Check the sign of your answer. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 OK -2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:09.0 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 [-4]/[6] is 2. This set of entry boxes represent the simplified form of [-4]/[6]. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:10.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:10.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 6, by 2, the common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 ERROR 6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 ERROR -6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:21.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 7 HINT_LEVEL_CHANGE Type 3. HINT 4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 OK 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:25.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have -4/6. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:26.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 8 HINT_LEVEL_CHANGE To simplify, divide 6 into -4. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:29.0 HINT HINT ES_02 ES_02-10 EG44 null strategic 9 HINT_LEVEL_CHANGE Type -2/3. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
6Q42M session1 2007-02-28 17:43:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -2/3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
9605y session0 2007-03-08 17:36:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -4 = 8+7x strategic 1 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:36:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -4-8 = 8+7x-8 strategic 1 OK clt -4-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:36:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -12 = 8+7x-8 strategic 1 OK clt 8+7x-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:36:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -12 = 7x strategic 1 OK divide 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:37:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -12/7 = 7x/7 strategic 1 OK rf 7x/7 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:38:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -5 = 8y+(-2) strategic 1 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:38:40.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -5+2 = 8y+(-2)+2 left 1 OK left -3 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:38:52.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3 = 8y+(-2)+2 right 1 OK right 8y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:39:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3 = 8y strategic 1 BUG divide -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:39:19.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3 = 8y strategic 2 ERROR divide 3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:39:29.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3 = 8y strategic 3 OK divide 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:39:41.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3/8 = 8y/8 left 1 OK left -3/8 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:39:45.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3/8 = 8y/8 right 1 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:40:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6+9 = -6 strategic 1 BUG subtract -9 To remove 9 from the left side, you can subtract a positive from it. Erase your last step and subtract 9 from both sides. BUG condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:40:23.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6+9 = -6 strategic 2 OK subtract 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:40:34.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6+9-9 = -6-9 strategic 1 OK clt y/6+9-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:40:34.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6 = -6-9 strategic 1 OK clt -6-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:40:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6 = -15 strategic 1 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:40:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6*6 = -15*6 strategic 1 OK mt y/6*6 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:40:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = -15*6 strategic 1 OK mt -15*6 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:41:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = y/2+(-6) strategic 1 OK add 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:41:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9+6 = y/2+(-6)+6 strategic 1 OK clt -9+6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:41:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3 = y/2+(-6)+6 strategic 1 OK clt y/2+(-6)+6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:41:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3 = y/2 strategic 1 OK multiply 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:41:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3*2 = y/2*2 strategic 1 OK mt -3*2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:41:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6 = y/2*2 strategic 1 OK mt y/2*2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:42:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 2 = -8+x/7 strategic 1 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:42:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 2+8 = -8+x/7+8 strategic 1 OK clt 2+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:42:31.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 10 = -8+x/7+8 strategic 1 OK clt -8+x/7+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:42:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 10 = x/7 strategic 1 OK multiply 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:42:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 10*7 = x/7*7 strategic 1 OK mt 10*7 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:42:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 70 = x/7*7 strategic 1 OK mt x/7*7 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:42:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 3 = -8+x/10 strategic 1 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:43:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 3+8 = -8+x/10+8 left 1 OK left 11 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:43:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 11 = -8+x/10+8 right 1 OK right x/10 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:43:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 11 = x/10 strategic 1 OK multiply 10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:43:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 11*10 = x/10*10 left 1 OK left 110 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:43:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 110 = x/10*10 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:44:11.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/8+(-7) = 6 strategic 1 OK add 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:44:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/8+(-7)+7 = 6+7 left 1 OK left x/8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:44:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/8 = 6+7 right 1 OK right 13 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:44:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/8 = 13 strategic 1 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:44:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/8*8 = 13*8 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:45:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = 13*8 right 1 OK right 13*8 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:45:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/8 = 13 strategic 2 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:45:11.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/8*8 = 13*8 left 2 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:45:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = 13*8 right 2 OK right 104 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:08.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y = -7 strategic 1 BUG multiply 1/5 Multiplying by 1/5 will leave -y. It is better to multiply by -1/5, because that will leave y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:18.0 HINT HINT ES_02orig ES_02-9 EG44 -5/y = -7 strategic 2 INITIAL_HINT condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:20.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -5/y is -5 divided by y. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:24.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:32.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y = -7 strategic 3 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:36.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/y*y = -7y strategic 1 OK mt -5/y*y condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:50.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5 = -7y strategic 1 OK divide -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:58.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5/-7 = -7y/-7 strategic 1 OK rf -5/-7 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:46:59.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/7 = -7y/-7 strategic 1 OK rf -7y/-7 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:48:13.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 1 = 8/y strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:48:19.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 1y = 8/y*y strategic 1 OK mt 1y condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:48:19.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 y = 8/y*y strategic 1 OK mt 8/y*y condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:50:54.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9 = -4/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:50:56.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9x = -4/x*x strategic 1 OK mt -4/x*x condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:02.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9x = -4 strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:05.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9x/9 = -4/9 strategic 1 OK rf 9x/9 condition 4 goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:24.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -4/x = -5 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:29.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -4/x*x = -5x left 1 OK left -4 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:36.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -4 = -5x right 1 OK right -5x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:46.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -4 = -5x strategic 1 OK divide -5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:53.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -4/-5 = -5x/-5 left 1 OK left 4/5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:51:56.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 4/5 = -5x/-5 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:52:11.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 7 = -2/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:52:20.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 7x = -2/x*x left 1 OK left 7x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:52:22.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 7x = -2/x*x right 1 OK right -2 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:52:28.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 7x = -2 strategic 1 OK divide 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:52:32.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 7x/7 = -2/7 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
9605y session0 2007-03-08 17:52:36.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 x = -2/7 right 1 OK right -2/7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02or
AS5Z5 session0 2007-02-21 17:40:26.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9 = -1x+9 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:40:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9-9 = -1x+9-9 strategic 1 ERROR rds 9-9 = -1x+9-9 strategic condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:41:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9-9 = -1x+9-9 strategic 2 OK clt 9-9 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:41:07.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -1x+9-9 strategic 1 OK clt -1x+9-9 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:41:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -1x strategic 1 OK divide -1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:41:32.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0/-1 = -1x/-1 strategic 1 BUG rds 0/-1 = -1x/-1 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:41:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0/-1 = -1x/-1 strategic 2 OK rf 0/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:41:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -1x/-1 strategic 1 OK rf -1x/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:42:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6 = -4+9y strategic 1 ERROR subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:42:38.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6 = -4+9y strategic 2 OK subtract -4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:42:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 6-(-4) = -4+9y-(-4) strategic 1 OK clt 6-(-4) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:42:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = -4+9y-(-4) strategic 1 OK clt -4+9y-(-4) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:42:52.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 9y strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:42:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10/9 = 9y/9 strategic 1 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:43:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = 3y+9 strategic 1 ERROR distribute 0 = 3y+9 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:43:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = 3y+9 strategic 2 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:43:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0-9 = 3y+9-9 strategic 1 OK clt 0-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:43:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9 = 3y+9-9 strategic 1 OK clt 3y+9-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:43:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9 = 3y strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9/3 = 3y/3 strategic 1 OK rf -9/3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:01.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3 = 3y/3 strategic 1 OK rf 3y/3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:22.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7+5y = -8 strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7+5y-7 = -8-7 strategic 1 OK clt 7+5y-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5y = -8-7 strategic 1 OK clt -8-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5y = -15 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 5y/5 = -15/5 strategic 1 OK rf 5y/5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:44:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = -15/5 strategic 1 OK rf -15/5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:45:10.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -1x+(-3) strategic 1 BUG divide -3 Put the expression in its simplest form by performing multiplication on the right side to remove '1' coefficients. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:45:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0 = -1x+(-3) strategic 2 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:45:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 0+3 = -1x+(-3)+3 strategic 1 OK clt 0+3 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:45:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3 = -1x+(-3)+3 strategic 1 OK clt -1x+(-3)+3 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:45:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3 = -1x strategic 1 OK divide -1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:45:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 3/-1 = -1x/-1 strategic 1 OK rf 3/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:45:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -3 = -1x/-1 strategic 1 OK rf -1x/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:52:36.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3+4x = -2 strategic 1 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:52:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3+4x+3 = -2+3 right 1 OK right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:52:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3+4x+3 = 1 left 1 OK left 4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:53:04.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4x = 1 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:53:09.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4x/4 = 1/4 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:53:12.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = 1/4 right 1 OK right 1/4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:55:52.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = -3+x/3 strategic 1 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:55:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+3 = -3+x/3+3 strategic 1 OK clt 5+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:55:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = -3+x/3+3 strategic 1 OK clt -3+x/3+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:56:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = x/3 strategic 1 ERROR multiply 3/x condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:56:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = x/3 strategic 2 OK multiply (3) condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:56:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8*3 = x/3*3 strategic 1 OK mt 8*3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:56:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 24 = x/3*3 strategic 1 OK mt x/3*3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:56:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+(x/-2) = 5 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:56:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+(x/-2)-5 = 5-5 strategic 1 OK clt 5+(x/-2)-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:56:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-2 = 5-5 strategic 1 OK clt 5-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:57:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-2 = 0 strategic 1 OK multiply -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:57:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-2*(-2) = 0*(-2) strategic 1 OK mt x/-2*(-2) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:57:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 0*(-2) strategic 1 OK mt 0*(-2) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:57:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = 1+y/2 strategic 1 OK add -1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:57:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3+(-1) = 1+y/2+(-1) strategic 1 OK clt 3+(-1) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:57:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = 1+y/2+(-1) strategic 1 OK clt 1+y/2+(-1) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:58:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = y/2 strategic 1 OK multiply 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:58:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2*2 = y/2*2 strategic 1 OK mt 2*2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session0 2007-02-21 17:58:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 4 = y/2*2 strategic 1 OK mt y/2*2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:21:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-3) = 0 strategic 1 OK subtract -3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:22:11.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-3)-(-3) = 0-(-3) left 1 BUG left y/8 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:22:17.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-3)-(-3) = 0-(-3) left 2 OK left y/-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:22:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 0-(-3) right 1 BUG right -3 -3 is equal to 0 plus -3. You need to calculate 0 minus -3. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:22:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 0-(-3) right 2 OK right 3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:22:33.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 3 strategic 1 OK multiply -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:22:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8*(-8) = 3*(-8) right 1 OK right -24 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:23:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8*(-8) = -24 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:23:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8+x/6 = -3 strategic 1 OK add 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:23:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8+x/6+8 = -3+8 left 1 OK left x/6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:23:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/6 = -3+8 right 1 OK right 5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:23:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/6 = 5 strategic 1 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/6*6 = 5*6 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = 5*6 right 1 OK right 30 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10 = -1+y/2 strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 10+1 = -1+y/2+1 left 1 OK left 11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 11 = -1+y/2+1 right 1 OK right y/2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 11 = y/2 strategic 1 OK multiply 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 11*2 = y/2*2 left 1 OK left 22 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:24:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 22 = y/2*2 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:29:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 1 ERROR divide y/7 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:29:11.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 2 BUG multiply 7 To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:29:30.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 3 ERROR divide 7 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:29:49.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 4 BUG multiply (7) To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:30:03.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y*(7) = 2(7) strategic 1 OK unnec-elems 7/y*(7)=2(7) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:30:34.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 5 BUG multiply (7/1) To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:30:41.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y*(7/1) = 2*(7/1) strategic 1 BUG unnec-elems 7/y*(7/1)=2*(7/1) Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:30:59.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y*(7/1) = 2*(7/1) strategic 2 OK mt 7/y*(7/1) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:31:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49/(1y) = 2*(7/1) strategic 1 OK mt 2*(7/1) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:31:49.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49/(1y) = 14/1 strategic 1 BUG multiply 1/49 Simplify the fraction 14/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:32:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49/(1y) = 14/1 strategic 2 BUG multiply 49/1 To remove 49/[1y] from the denominator you need to multiply. Erase your last step and then multiply both sides by 49/[1y]. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:32:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49/(1y) = 14/1 strategic 3 BUG multiply 49/1y Simplify the fraction 14/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:32:41.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49/(1y)*(49/1)*y = 14/1*(49/1)*y strategic 1 OK rf 49/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:32:47.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49/(1y)*49y = 14/1*(49/1)*y strategic 1 OK rf 14/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:32:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49/(1y)*49y = 14*(49/1)*y strategic 1 OK rf 49/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:33:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 6 BUG multiply 7 To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:34:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 7 ERROR multiply 7/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:34:03.0 HINT HINT ES_02b ES_02-9 EG44 7/y*(7/y) = 2*(7/y) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:34:20.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y*(7/y) = 2*(7/y) strategic 2 OK mt 7/y*(7/y) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:34:21.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49*(1/y)^2 = 2*(7/y) strategic 1 OK mt 2*(7/y) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:34:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49*(1/y)^2 = 14/y strategic 1 BUG divide 49 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 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:34:59.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49*(1/y)^2 = 14/y strategic 2 BUG multiply 49 To remove the coefficient of 49*[1/y]^2, you need to divide. Erase your last step and then divide both sides by 49. BUG condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:35:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 49*(1/y)^2 = 14/y strategic 3 BUG divide 49 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 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:35:48.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y = 2 strategic 8 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:36:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y*y = 2y strategic 1 ERROR rf 7/y*y = 2y strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:36:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y*y = 2y strategic 2 ERROR rds 7/y*y = 2y strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:36:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/y*y = 2y strategic 3 OK mt 7/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:36:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7 = 2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:36:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/2 = 2y/2 strategic 1 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:37:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7/y = 9 strategic 1 ERROR multiply -y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:37:05.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7/y = 9 strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:37:11.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7/y*y = 9y strategic 1 OK mt -7/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:37:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7 = 9y strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:37:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7/9 = 9y/9 strategic 1 BUG rds -7/9 = 9y/9 strategic Simplify the fraction 9y/9. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:38:02.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7/9 = 9y/9 strategic 2 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:39:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/x = -1 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:39:08.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/x*x = -1x strategic 1 ERROR rf -2/x*x = -1x strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:39:14.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/x*x = -1x strategic 2 OK mt -2/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:39:14.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = -1x strategic 1 OK mt -1x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:39:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = -x strategic 1 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:39:30.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/-1 = -x/-1 strategic 1 OK rf -2/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:39:30.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2 = -x/-1 strategic 1 OK rf -x/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 4/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5y = 4/y*y strategic 1 OK mt 4/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5y = 4 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5y/5 = 4/5 strategic 1 OK rf 5y/5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:38.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = 5/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y = 5/y*y strategic 1 OK mt 5/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y = 5 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:40:56.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y/8 = 5/8 strategic 1 OK rf 8y/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3 = 6/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:15.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6/x*x left 1 OK left 3x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:19.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6/x*x right 1 BUG right 6/x You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6/x*x right 2 OK right 6/x*x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6/x*x strategic 1 OK mt 6/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:45.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-num-node strategic 1 ERROR 6*1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:55.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-num-node strategic 2 ERROR 6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:44:57.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:45:20.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 OK 6 condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:45:35.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:45:38.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x/3 = 6/3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:45:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 6/3 right 1 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:46:23.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5 = -9/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:46:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = -9/y*y left 1 OK left 5y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:46:38.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = -9/y*y right 1 OK right -9/y*y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:46:41.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = -9/y*y strategic 1 ERROR rf 5y = -9/y*y strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:46:46.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = -9/y*y strategic 2 OK mt -9/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:46:50.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 OK -9 condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:46:57.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y = -9 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:47:00.0 CYCLE CYCLE ES_02b ES_02-10 EG44 5y/5 = -9/5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
AS5Z5 session1 2007-02-22 15:47:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = -9/5 right 1 OK right -9/5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
ATe56 session0 2007-02-21 17:42:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 2+10x strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:43:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 2+10x-2 strategic 1 ERROR distribute -7-2 = 2+10x-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:43:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 2+10x-2 strategic 2 ERROR rf -7-2 = 2+10x-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:43:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 2+10x strategic 2 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 2+10x-2 strategic 3 ERROR rds -7-2 = 2+10x-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 2+10x-2 strategic 4 ERROR distribute -7-2 = 2+10x-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 2+10x-2 strategic 5 ERROR rf -7-2 = 2+10x-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 2+10x-2 strategic 6 ERROR mt -7-2 = 2+10x-2 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 2+10x-2 strategic 7 OK clt 2+10x-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 10x strategic 1 ERROR rf -7-2 = 10x strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 10x strategic 2 ERROR rf -7-2 = 10x strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:44:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-2 = 10x strategic 3 OK clt -7-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:45:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = 10x strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:45:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9/10 = 10x/10 strategic 1 BUG rds -9/10 = 10x/10 strategic Simplify the fraction 10x/10. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:45:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9/10 = 10x/10 strategic 2 BUG rds -9/10 = 10x/10 strategic Simplify the fraction 10x/10. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:45:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9/10 = 10x/10 strategic 3 OK rf 10x/10 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:50:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x+(-8) = 1 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x+(-8)+8 = 1+8 right 1 OK right 9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x+(-8)+8 = 9 left 1 OK left -1x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x = 9 strategic 1 OK divide -1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x/-1 = 9/-1 left 1 OK left x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 9/-1 right 1 OK right -9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+(-4) = -3 strategic 1 BUG add -4 To remove -4 from the left side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+(-4) = -3 strategic 2 OK add 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+(-4)+4 = -3+4 right 1 OK right 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+(-4)+4 = 1 left 1 OK left -4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = 1 strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:51:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x/-4 = 1/-4 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:52:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1/-4 right 1 OK right 1/-4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:52:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 1/-4 strategic 1 OK rf 1/-4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:52:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -1/4 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:54:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-3+(-5) = -6 strategic 1 OK multiply -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:54:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (y/-3+(-5))*(-3) = -6*(-3) strategic 1 OK rf y/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:55:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-y/3+(-5))*(-3) = -6*(-3) strategic 1 ERROR rf (-y/3+(-5))*(-3) = -6*(-3) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:55:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-3+(-5) = -6 strategic 2 OK rds y/-3+(-5) = -6 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:55:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-3-5 = -6 strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:55:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-3-5+5 = -6+5 strategic 1 OK clt y/-3-5+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:55:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-3 = -6+5 strategic 1 OK clt -6+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:55:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-3 = -1 strategic 1 OK multiply -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:56:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-3*(-3) = -1*(-3) strategic 1 OK rf y/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:56:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/3*(-3) = -1*(-3) strategic 1 ERROR clt -y/3*(-3) = -1*(-3) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:56:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/3*(-3) = -1*(-3) strategic 2 OK mt -y/3*(-3) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:56:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -1*(-3) strategic 1 OK mt -1*(-3) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:56:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/5+(-1) 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 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:56:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/5+(-1) strategic 2 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 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/5+(-1) strategic 3 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+1 = x/5+(-1)+1 strategic 1 ERROR rf 2+1 = x/5+(-1)+1 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+1 = x/5+(-1)+1 strategic 2 OK rds 2+1 = x/5+(-1)+1 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+1 = x/5-1+1 strategic 1 ERROR rds 2+1 = x/5-1+1 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+1 = x/5-1+1 strategic 2 OK multiply 5 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (2+1)*5 = (x/5-1+1)*5 strategic 1 OK distribute (2+1)*5 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*5+1*5 = (x/5-1+1)*5 strategic 1 OK distribute (x/5-1+1)*5 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:57:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*5+1*5 = x/5*5-1*5+1*5 strategic 1 ERROR rf 2*5+1*5 = x/5*5-1*5+1*5 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:58:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/5+(-1) strategic 4 OK rds 2 = x/5+(-1) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:58:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/5-1 strategic 1 OK multiply 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session0 2007-02-21 17:58:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*5 = (x/5-1)*5 strategic 1 ERROR rds 2*5 = (x/5-1)*5 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:18:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*5 = (x/5-1)*5 strategic 1 OK distribute (x/5-1)*5 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:18:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*5 = x/5*5-1*5 strategic 1 ERROR distribute 2*5 = x/5*5-1*5 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:18:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*5 = x/5*5-1*5 strategic 2 OK mt 2*5 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:19:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = x/5*5-1*5 strategic 1 OK mt x/5*5 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:19:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = x-1*5 strategic 1 OK mt 1*5 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:19:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = x-5 strategic 1 OK add 5 condition 1 [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}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:19:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10+5 = x-5+5 strategic 1 OK clt 10+5 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:19:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 15 = x-5+5 strategic 1 OK clt x-5+5 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:23:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = y/-6+8 strategic 1 OK subtract 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:23:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9-8 = y/-6+8-8 left 1 OK left 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:23:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/-6+8-8 right 1 ERROR right 4/-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:23:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/-6+8-8 right 2 OK right y/-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:23:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/-6 strategic 1 OK multiply -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:23:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*(-6) = y/-6*(-6) left 1 OK left -6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = y/-6*(-6) right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+(y/-5) = 2 strategic 1 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+(y/-5)+1 = 2+1 right 1 OK right 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+(y/-5)+1 = 3 left 1 OK left y/-5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5 = 3 strategic 1 BUG divide -5 To remove the coefficient of y/-5, you need to divide by 1/-5 or multiply by -5. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/-5)/-5 = 3/-5 left 1 ERROR left 5 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/-5)/-5 = 3/-5 left 2 BUG left y y is equal to y/-5 times -5. You need to calculate y/-5 divided by -5. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:24:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/-5)/-5 = 3/-5 left 3 ERROR left -y condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:25:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5 = 3 strategic 2 BUG multiply 5 Multiplying by 5 will leave -y. It is better to multiply by -5, because that will leave y. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:25:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5 = 3 strategic 3 OK multiply -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:25:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5*(-5) = 3*(-5) left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:25:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 3*(-5) right 1 OK right -15 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:27:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -8 strategic 1 BUG multiply 8 To remove 8/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 8/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:27:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -8 strategic 2 BUG multiply -8 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:27:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -8 strategic 3 ERROR rf 8/y = -8 strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:27:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -8 strategic 4 ERROR rds 8/y = -8 strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:27:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -8 strategic 5 BUG multiply 8 To remove 8/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 8/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:28:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -8 strategic 6 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:28:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y*y = -8y strategic 1 ERROR rds 8/y*y = -8y strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:28:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y*y = -8y strategic 2 OK mt 8/y*y condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:28:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -8y strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:28:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-8 = -8y/-8 strategic 1 OK rf -8y/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:28:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-8 = y strategic 1 OK rf 8/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:29:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -6/x strategic 1 ERROR multiply -x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:29:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -6/x strategic 2 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:29:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x = -6/x*x strategic 1 OK mt -6/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:29:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x = -6 strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:29:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x/-9 = -6/-9 strategic 1 OK rf -9x/-9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:29:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x/-9 = -6/-9 strategic 2 OK rf -9x/-9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:29:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -6/-9 strategic 1 OK rf -6/-9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = 3/y strategic 1 OK multiply -y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1*(y/-1) = 3/y*(y/-1) strategic 1 OK mt -1*(y/-1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 3/y*(y/-1) strategic 1 OK mt 3/y*(y/-1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 3/-1 strategic 1 BUG rds y = 3/-1 strategic Simplify the fraction 3/-1. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 3/-1 strategic 2 OK rf 3/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -7/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x = -7/x*x strategic 1 OK mt -7/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:30:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x = -7 strategic 1 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:31:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x = -7 strategic 2 BUG divide 3 In this equation, x is multiplied by -3. Dividing by 3 leaves -x, so you still need to remove the negative sign. It is better to divide by -3, since that would leave x. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:31:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x = -7 strategic 3 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:31:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x/-3 = -7/-3 strategic 1 OK rf -3x/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:31:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -7/-3 strategic 1 OK rf -7/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:31:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 5/y strategic 1 ERROR multiply -y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:31:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 5/y strategic 2 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:31:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y = 5/y*y strategic 1 ERROR rf -8y = 5/y*y strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y = 5/y*y strategic 2 OK mt 5/y*y condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y = 5 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y/-8 = 5/-8 strategic 1 OK rf -8y/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 5/-8 strategic 1 OK rf 5/-8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -4/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y = -4/y*y strategic 1 ERROR rf -9y = -4/y*y strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y = -4/y*y strategic 2 OK mt -4/y*y condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y = -4 strategic 1 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y = -4 strategic 2 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y/-9 = -4/-9 strategic 1 OK rf -9y/-9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:32:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -4/-9 strategic 1 OK rf -4/-9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:33:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 7/y strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:33:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 7/y*y strategic 1 OK mt 7/y*y condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:33:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 7 strategic 1 OK divide 3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:33:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y/3 = 7/3 strategic 1 OK rf 3y/3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:37:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y = 10 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:37:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 10y right 1 OK right 10y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:37:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 10y left 1 OK left -7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:37:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 10y strategic 1 OK divide 10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:37:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/10 = 10y/10 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:37:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/10 = y left 1 OK left -7/10 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:37:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/10 = y strategic 1 BUG rf -7/10 = y strategic You already solved the equation. y is -7/10. BUG condition 1 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:38:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -2/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:38:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -2/x*x left 1 OK left -2x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:38:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -2/x*x right 1 OK right -2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:38:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -2 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:38:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -2/-2 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
ATe56 session1 2007-02-22 15:38:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -2/-2 right 1 OK right 1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
C35dJ session0 2007-03-27 10:02:00.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = 6+(-4y) strategic 1 OK subtract 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:02:39.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1-6 = 6+(-4y)-6 strategic 1 OK clt -1-6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:02:51.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 1 BUG divide -4y You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:03:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 2 ERROR mt -7 = 6+(-4y)-6 strategic condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:03:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 3 BUG subtract 6 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:04:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 4 BUG add 6 Since 6 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 6 from both sides. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:04:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 5 BUG multiply 6 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:04:30.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 6 ERROR distribute -7 = 6+(-4y)-6 strategic condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:04:38.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 7 ERROR mt -7 = 6+(-4y)-6 strategic condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:04:45.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 6+(-4y)-6 strategic 8 OK clt 6+(-4y)-6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:04:58.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = -4y strategic 1 BUG divide -4y Dividing anything by itself will leave 1. If you divide -4y by -4, y will be left. Erase your last step and then divide by -4. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:05:36.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = -4y strategic 2 OK divide -4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:05:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7/-4 = -4y/-4 strategic 1 OK rf -7/-4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:05:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7/4 = -4y/-4 strategic 1 OK rf -4y/-4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:00.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4 = 6y+1 strategic 1 OK subtract 1 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:07.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 4-1 = 6y+1-1 strategic 1 OK clt 4-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:07.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = 6y+1-1 strategic 1 OK clt 6y+1-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = 6y strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3/6 = 6y/6 strategic 1 OK rf 3/6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 1/2 = 6y/6 strategic 1 OK rf 6y/6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:40.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3x+7 = 0 strategic 1 OK subtract 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:47.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3x+7-7 = 0-7 strategic 1 OK clt -3x+7-7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:48.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3x = 0-7 strategic 1 OK clt 0-7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:06:54.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3x = -7 strategic 1 OK divide -3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:07:01.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3x/-3 = -7/-3 strategic 1 OK rf -3x/-3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:07:01.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 x = -7/-3 strategic 1 OK rf -7/-3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:07:27.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -4 = 4+9x strategic 1 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:07:32.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -4-4 = 4+9x-4 left 1 OK left -8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:07:43.0 HINT HINT ES_02orig ES_02-6 EG40 -8 = 4+9x-4 strategic 1 INITIAL_HINT condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:07:47.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in 4+9x-4 on the right. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:01.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -8 = 4+9x-4 right 1 OK right 4+9x-4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:16.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -4 = 4+9x strategic 2 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -4-4 = 4+9x-4 left 2 OK left -8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:40.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -8 = 4+9x-4 right 2 OK right 4+9x-4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:42.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -8 = 4+9x-4 strategic 2 OK clt 4+9x-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:48.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 x1R1 strategic 1 OK +9x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:51.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms1R1 strategic 1 OK 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:54.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant terms2R1 strategic 1 OK -4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:08:59.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 xR2 strategic 1 OK 9x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:02.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 1 ERROR -2 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:06.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 2 ERROR 2 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:18.0 HINT HINT ES_02orig ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT 2 Simplify the expression [4]+[-4]. HINT 1 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:20.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:27.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Adding [4]+[-4] yields 0. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:31.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 4 ERROR -8 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:41.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 5 ERROR 8 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:43.0 HINT HINT ES_02orig ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT 8 Adding [4]+[-4] yields 0. HINT 3 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:49.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 constant termsR2 strategic 7 OK 0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:09:58.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 1 OK 9x+0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:10:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -8 = 9x+0 strategic 1 OK unnec-elems -8=9x+0 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:10:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -8 = 9x strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:10:24.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -8/9 = 9x/9 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:10:40.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -8/9 = x left 1 OK left -0.888888 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:11:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-6+(-7) = 5 strategic 1 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:11:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-6+(-7) = 5 strategic 2 OK add 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:11:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-6+(-7)+7 = 5+7 strategic 1 OK clt y/-6+(-7)+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:11:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-6 = 5+7 strategic 1 OK clt 5+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:12:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-6 = 12 strategic 1 BUG divide -6 To remove the coefficient of y/-6, you need to divide by 1/-6 or multiply by -6. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:12:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-6 = 12 strategic 2 OK multiply -6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:12:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-6*(-6) = 12*(-6) strategic 1 OK mt y/-6*(-6) condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:12:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = 12*(-6) strategic 1 OK mt 12*(-6) condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:13:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 9+y/6 = -5 strategic 1 OK subtract 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:13:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 9+y/6-9 = -5-9 strategic 1 OK clt 9+y/6-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:13:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6 = -5-9 strategic 1 OK clt -5-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:13:35.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6 = -14 strategic 1 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:13:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/6*6 = -14*6 strategic 1 OK mt y/6*6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:13:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = -14*6 strategic 1 OK mt -14*6 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:15:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-7+(-1) = -6 strategic 1 OK add 1 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:15:28.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-7+(-1)+1 = -6+1 right 1 OK right -5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:15:40.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-7+(-1)+1 = -5 left 1 OK left x/-7 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:15:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-7 = -5 strategic 1 BUG multiply -5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-7 = -5 strategic 2 BUG divide -5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-7 = -5 strategic 3 BUG multiply 5 Simplify the fraction x/-7. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:27.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-7 = -5 strategic 4 OK rf x/-7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:31.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have x/-7. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:36.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -7 into x. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:40.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type -x/7. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 OK -x/7 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:16:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/7 = -5 strategic 1 ERROR multiply 5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:17:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/7 = -5 strategic 2 BUG multiply -5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:17:21.0 HINT HINT ES_02orig ES_02-8 EG41 -x/7 = -5 strategic 3 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:17:26.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE In -x/7, x is multiplied by -1/7. How do you change the -1/7 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:17:29.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:17:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/7 = -5 strategic 4 OK multiply 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:17:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/7*7 = -5*7 right 1 OK right -35 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:18:05.0 HINT HINT ES_02orig ES_02-8 EG41 -x/7*7 = -35 strategic 1 INITIAL_HINT condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:18:08.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE Type in -x/7*7 on the left. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:19:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/7*7 = -35 left 1 OK left -x/7*7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:19:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/7*7 = -35 strategic 2 OK mt -x/7*7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:19:32.0 HINT HINT ES_02orig ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:19:35.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE What is -x times 7? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:19:39.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE Type -7x. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:19:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/7*7 = -35 strategic 3 OK mt -x/7*7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:20:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 BUG 7x 7x
Perhaps you should fill in the numerator above first. BUG condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:20:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-num-node strategic 2 ERROR x*7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:20:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-num-node strategic 3 OK -x*7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:20:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-den-node strategic 1 ERROR 7*7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:20:37.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-den-node strategic 2 ERROR -7*7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:20:48.0 HINT HINT ES_02orig ES_02-8 EG41 pm-r-den-node strategic 3 INITIAL_HINT -7*7 You need to multiply the denominators together. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:20:52.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 8 HINT_LEVEL_CHANGE What is 7 times 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:21:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 pm-r-den-node strategic 4 OK 7*1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:21:09.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT 7x Simplify the above fraction. HINT 1 condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:21:10.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 9 HINT_LEVEL_CHANGE Type -7x/7. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:21:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 5 OK -7x/7 condition 4 perform-mult-r-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -7x/7 = -35 strategic 1 BUG multiply 35 Simplify the fraction -7x/7. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:20.0 HINT HINT ES_02orig ES_02-8 EG41 -7x/7 = -35 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:23.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 10 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:27.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -7x/7 = -35 strategic 3 OK rf -7x/7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-constant factors strategic 1 OK -7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-constant factors strategic 1 OK 1/[7] condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:33.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-N-x strategic 1 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row1-D-x strategic 1 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2constant factors strategic 1 BUG -7 -7
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:49.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2constant factors strategic 2 OK 7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2x strategic 1 ERROR x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 1 BUG 1 1
Perhaps you should fill in the common factor between the numerator and denominator of [x]/[1]. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:22:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:23:13.0 HINT HINT ES_02orig ES_02-8 EG41 row2x strategic 2 INITIAL_HINT x You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:23:15.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 11 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator x and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:23:19.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 12 HINT_LEVEL_CHANGE In x, how many times is x used as a factor? In 1, how many times is x used as a factor? How many x's do they have in common? HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:23:22.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 13 HINT_LEVEL_CHANGE 1 will go into both x and 1 and is the most appropriate common factor. HINT 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:23:44.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 2 BUG 1 1
Check the sign of your answer. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:23:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-constant factors strategic 3 OK -1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:23:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 2 BUG -1 -1
Perhaps you should fill in the common factor between the numerator and denominator of [x]/[1]. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:24:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR -7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:24:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 2 ERROR 7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:24:30.0 HINT HINT ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 3 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:24:42.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 14 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:24:46.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 15 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 7, by 7, the common factor. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:24:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-constant factors strategic 4 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 1 BUG 7x 7x
Perhaps you should fill in the common factor between the numerator and denominator of [x]/[1]. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:10.0 HINT HINT ES_02orig ES_02-8 EG41 row3-D-x strategic 2 INITIAL_HINT 7x Before working on this answer, perhaps try working on the common factor between the numerator and denominator of [x]/[1]. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:21.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 3 BUG 1 1
Perhaps you should fill in the common factor between the numerator and denominator of [x]/[1]. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row2x strategic 3 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-N-x strategic 4 OK x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:44.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 3 ERROR x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:48.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 4 ERROR 1x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:52.0 HINT HINT ES_02orig ES_02-8 EG41 row3-D-x strategic 5 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:55.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 16 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:25:58.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 17 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 1, by 1, the common factor. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:01.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 18 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:05.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 row3-D-x strategic 6 OK 1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:13.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT In the above expression you have -7x/7. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:15.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 19 HINT_LEVEL_CHANGE To simplify, divide 7 into -7x. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:18.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 20 HINT_LEVEL_CHANGE Type -x. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 7 OK -x condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:29.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -35 strategic 1 ERROR rds -x = -35 strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:37.0 HINT HINT ES_02orig ES_02-8 EG41 -x = -35 strategic 2 INITIAL_HINT condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:42.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 21 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:48.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 22 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:26:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -35 strategic 3 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 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:27:02.0 HINT HINT ES_02orig ES_02-8 EG41 -x = -35 strategic 4 INITIAL_HINT condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:27:03.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 23 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:27:06.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 24 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:27:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -35 strategic 5 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:28:10.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -35 strategic 6 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 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:28:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -35 strategic 7 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:28:28.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/-1 = -35/-1 left 1 OK left x condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:28:33.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = -35/-1 right 1 OK right 35 condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7 = 6+x/6 strategic 1 OK subtract 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7-6 = 6+x/6-6 left 1 OK left 1 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 1 = 6+x/6-6 right 1 OK right 6+x/6-6 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 1 = 6+x/6-6 strategic 1 OK clt 6+x/6-6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x1R1 strategic 1 OK +x/6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms1R1 strategic 1 OK 6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant terms2R1 strategic 1 OK -6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:29:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:30:05.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 xR2 strategic 1 OK x/6 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:30:15.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT Above, you have [x/6]+[0]. Enter x/6 as your result. HINT 1 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
C35dJ session0 2007-03-27 10:30:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 OK x/6 condition 4 combine-like-terms-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
CD8Q2 session0 2007-02-22 15:33:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -6+8x strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:33:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+6 = -6+8x+6 strategic 1 OK clt -5+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:33:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -6+8x+6 strategic 1 OK clt -6+8x+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:33:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 8x strategic 1 OK divide 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:33:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/8 = 8x/8 strategic 1 BUG mt 1/8 = 8x/8 strategic Simplify the fraction 8x/8. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:33:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/8 = 8x/8 strategic 2 OK rf 8x/8 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:37:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+4x = -9 strategic 1 OK add 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:37:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+4x+2 = -9+2 left 1 OK left 4x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:37:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x = -9+2 right 1 OK right -7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:38:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x = -7 strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:38:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = -7/4 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:38:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -7/4 right 1 OK right -7/4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:40:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = -6+x/6 strategic 1 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:40:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+6 = -6+x/6+6 strategic 1 OK clt -2+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:40:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = -6+x/6+6 strategic 1 OK clt -6+x/6+6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:40:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = x/6 strategic 1 OK multiply 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:40:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4*6 = x/6*6 strategic 1 OK mt 4*6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:40:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 24 = x/6*6 strategic 1 OK mt x/6*6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:41:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10+(-5) = 8 strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:41:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10+(-5)+5 = 8+5 strategic 1 OK clt y/-10+(-5)+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:41:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10 = 8+5 strategic 1 OK clt 8+5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:41:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10 = 13 strategic 1 OK multiply -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:41:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10*(-10) = 13*(-10) strategic 1 OK mt y/-10*(-10) condition 1 goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:41:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 13*(-10) strategic 1 OK mt 13*(-10) condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:44:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = y/-2+9 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:44:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-9 = y/-2+9-9 left 1 OK left -10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:44:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = y/-2+9-9 right 1 OK right y/-2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:44:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = y/-2 strategic 1 OK multiply -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:45:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*(-2) = y/-2*(-2) right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:45:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*(-2) = y left 1 OK left 20 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:45:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = y/-6+(-10) strategic 1 OK subtract -10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:46:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-(-10) = y/-6+(-10)-(-10) right 1 OK right y/-6 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:46:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-(-10) = y/-6 left 1 OK left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:46:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = y/-6 strategic 1 OK multiply -6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:46:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*(-6) = y/-6*(-6) right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:46:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*(-6) = y left 1 OK left 7*-6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:46:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*(-6) = y strategic 1 ERROR clt 7*(-6) = y strategic condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:46:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*(-6) = y strategic 2 OK mt 7*(-6) condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02
CD8Q2 session0 2007-02-22 15:47:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -42 condition 1 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02
D2MRF session0 2007-02-22 15:29:55.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10 = 6+9y strategic 1 OK subtract 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:30:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10-6 = 6+9y-6 strategic 1 OK clt -10-6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:30:21.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -16 = 6+9y-6 strategic 1 OK clt 6+9y-6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:30:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -16 = 9y strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:30:39.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -16/9 = 9y/9 strategic 1 OK rf 9y/9 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:30:58.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -16/9 = y strategic 1 BUG rf -16/9 = y strategic You already solved the equation. y is -16/9. BUG condition 4 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:31:09.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -16/9 = y strategic 2 BUG divide 9 You already solved the equation. y is -16/9. BUG condition 4 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:32:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 3+5y = 7 strategic 1 OK subtract 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:32:35.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 3+5y-3 = 7-3 left 1 OK left 5y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:32:41.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 5y = 7-3 right 1 OK right 4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:32:47.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 5y = 4 strategic 1 OK divide 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:33:06.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 5y/5 = 4/5 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:33:09.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 4/5 right 1 OK right 4/5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:33:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -10 = -7+(x/-4) strategic 1 OK subtract -7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -10-(-7) = -7+(x/-4)-(-7) strategic 1 OK clt -10-(-7) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3 = -7+(x/-4)-(-7) strategic 1 OK clt -7+(x/-4)-(-7) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3 = x/-4 strategic 1 OK multiply -4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3*(-4) = x/-4*(-4) strategic 1 OK mt -3*(-4) condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 12 = x/-4*(-4) strategic 1 OK mt x/-4*(-4) condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 1 = y/9+9 strategic 1 OK subtract 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 1-9 = y/9+9-9 strategic 1 OK clt 1-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -8 = y/9+9-9 strategic 1 OK clt y/9+9-9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:34:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -8 = y/9 strategic 1 OK multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:35:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -8*9 = y/9*9 strategic 1 OK mt -8*9 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:35:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -72 = y/9*9 strategic 1 OK mt y/9*9 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:35:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 8+(y/-8) = -7 strategic 1 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:35:44.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 8+(y/-8)-8 = -7-8 left 1 OK left y/-8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:36:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-8 = -7-8 right 1 BUG right -1 -1 is equal to 7 minus 8. You need to calculate -7 minus 8. BUG condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:37:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-8 = -7-8 right 2 BUG right 15 You need to calculate -7 minus 8, not 8 minus -7. BUG condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:37:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-8 = -7-8 right 3 OK right -15 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:37:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-8 = -15 strategic 1 OK multiply -8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:37:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-8*(-8) = -15*(-8) left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:38:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = -15*(-8) right 1 BUG right -120 You are multiplying a negative by a negative. The result should be positive. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:38:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = -15*(-8) right 2 OK right 120 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:38:54.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -1+y/4 = 1 strategic 1 OK subtract -1 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:39:05.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -1+y/4-(-1) = 1-(-1) left 1 OK left y/4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:39:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/4 = 1-(-1) right 1 BUG right 0 0 is equal to 1 plus -1. You need to calculate 1 minus -1. BUG condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:39:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/4 = 1-(-1) right 2 OK right 2 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:39:30.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/4 = 2 strategic 1 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:39:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/4*4 = 2*4 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:39:37.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = 2*4 right 1 OK right 8 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:40:05.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7/y = -2 strategic 1 BUG multiply 7 To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:40:20.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7/y = -2 strategic 2 ERROR multiply 1 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:40:29.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7/y*1 = -2*1 strategic 1 OK unnec-elems 7/y*1=-2*1 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:41:00.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7/y = -2 strategic 3 ERROR rds 7/y = -2 strategic condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:41:33.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7/y = -2 strategic 4 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:41:38.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7/y*y = -2y strategic 1 OK mt 7/y*y condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:41:48.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7 = -2y strategic 1 OK divide -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:41:59.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7/-2 = -2y/-2 strategic 1 OK rf 7/-2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:42:00.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -7/2 = -2y/-2 strategic 1 OK rf -2y/-2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:42:26.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 10 = -9/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:42:33.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 10x = -9/x*x strategic 1 OK mt -9/x*x condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:42:38.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 10x = -9 strategic 1 OK divide 10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:42:41.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 10x/10 = -9/10 strategic 1 OK rf 10x/10 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:43:14.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7 = -4/y strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:43:17.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7y = -4/y*y strategic 1 OK mt -4/y*y condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:43:24.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7y = -4 strategic 1 OK divide 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:43:27.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 7y/7 = -4/7 strategic 1 OK rf 7y/7 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:43:53.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2 = -7/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:43:59.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2x = -7/x*x left 1 OK left 2x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:44:05.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2x = -7/x*x right 1 OK right -7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:44:11.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2x = -7 strategic 1 OK divide 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:44:15.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2x/2 = -7/2 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:44:19.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 x = -7/2 right 1 OK right -7/2 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:44:44.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5/x = -2 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:44:49.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5/x*x = -2x left 1 OK left 5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:44:54.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5 = -2x right 1 OK right -2x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:45:01.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5 = -2x strategic 1 OK divide -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:45:07.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5/-2 = -2x/-2 left 1 OK left 5/-2 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:45:10.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5/-2 = -2x/-2 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:45:28.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5/-2 = x strategic 1 OK rf 5/-2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:45:35.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 1 OK 5/-2 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:46:00.0 HINT HINT ES_02orig ES_02-10 EG44 5/-2 = x strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:46:03.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:46:07.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:46:13.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5/-2 = x strategic 3 OK rf 5/-2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session0 2007-02-22 15:46:31.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 2 BUG 5/2 5/2
Check the sign of your answer. BUG condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:21:43.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 1 OK 5/-2 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:21:54.0 HINT HINT ES_02orig ES_02-10 EG44 5/-2 = x strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:21:57.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:22:01.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 5/-2 = x strategic 2 OK rf 5/-2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:22:09.0 HINT HINT ES_02orig ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT In the above expression you have 5/-2. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:22:10.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -2 into 5. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:22:13.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type -5/2. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:22:53.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 3 ERROR 5-/2 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:23:02.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 4 BUG 5/2 5/2
Check the sign of your answer. BUG condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:23:17.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 5 ERROR 5/2- condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:23:17.0 HINT HINT ES_02orig ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT 5/2- Type -5/2. HINT 3 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D2MRF session1 2007-03-07 17:23:33.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 7 OK -5/2 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--6--es02or
D6XHX session0 2007-03-06 14:08:05.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = 5+(-8x) strategic 1 OK subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:08:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = 5+(-8x) strategic 2 OK subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:09:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9-5 = 5+(-8x)-5 strategic 1 OK clt -9-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:09:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -14 = 5+(-8x)-5 strategic 1 OK clt 5+(-8x)-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:09:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -14 = -8x strategic 1 BUG divide 8 In this equation, x is multiplied by -8. Dividing by 8 leaves -x, so you still need to remove the negative sign. It is better to divide by -8, since that would leave x. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:09:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -14 = -8x strategic 2 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:09:43.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -14/-8 = -8x/-8 strategic 1 BUG rds -14/-8 = -8x/-8 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:09:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -14/-8 = -8x/-8 strategic 2 BUG rds -14/-8 = -8x/-8 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:10:01.0 HINT HINT ES_02c ES_02-5 EG40 -14/-8 = -8x/-8 strategic 3 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:10:03.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:10:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -14/-8 = -8x/-8 strategic 4 OK rf -14/-8 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:10:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7/4 = -8x/-8 strategic 1 OK rf -8x/-8 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:10:46.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+(-2y) = 9 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 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:10:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+(-2y) = 9 strategic 2 OK add 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:11:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7+(-2y)+7 = 9+7 strategic 1 OK clt -7+(-2y)+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:11:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y = 9+7 strategic 1 OK clt 9+7 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:11:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y = 16 strategic 1 OK divide -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:11:11.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y/-2 = 16/-2 strategic 1 OK rf -2y/-2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session0 2007-03-06 14:11:11.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = 16/-2 strategic 1 OK rf 16/-2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 13:54:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 0 = 5+(-9y) strategic 1 OK subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 13:55:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 0-5 = 5+(-9y)-5 strategic 1 OK clt 0-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 13:55:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5 = 5+(-9y)-5 strategic 1 OK clt 5+(-9y)-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 13:55:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5 = -9y strategic 1 OK divide -9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 13:55:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5/-9 = -9y/-9 strategic 1 OK rf -5/-9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 13:55:19.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5/9 = -9y/-9 strategic 1 OK rf -9y/-9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:04:19.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -6y+(-1) = -8 strategic 1 OK add 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:04:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -6y+(-1)+1 = -8+1 left 1 OK left -6y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:04:44.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -6y = -8+1 right 1 OK right -7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:04:55.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -6y = -7 strategic 1 OK divide -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:01.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -6y/-6 = -7/-6 left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:22.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -7/-6 right 1 ERROR right -13 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:25.0 HINT HINT ES_02c ES_02-6 EG40 y = -7/-6 strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:28.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in -7/-6 on the right. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:34.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -7/-6 right 2 OK right -7/-6 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:41.0 HINT HINT ES_02c ES_02-6 EG40 y = -7/-6 strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:45.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -7/-6 strategic 3 OK rf -7/-6 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:05:58.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 OK -7/-6 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:06:04.0 CYCLE CYCLE ES_02c ES_02-6 EG40 y = -7/-6 strategic 4 OK rf -7/-6 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:06:37.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 ERROR 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:06:49.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 ERROR 1.6 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:07:13.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 4 ERROR 1.16 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:07:13.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT 1.16 In the above expression you have -7/-6. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:07:16.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -6 into -7. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:07:20.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type 7/6. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session1 2007-03-07 14:07:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 6 OK 7/6 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:46:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7+(-9) = -8 strategic 1 ERROR distribute x/7+(-9) = -8 strategic condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:46:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7+(-9) = -8 strategic 2 ERROR add 8 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:46:31.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7+(-9) = -8 strategic 3 OK add 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:46:40.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7+(-9)+9 = -8+9 strategic 1 OK clt x/7+(-9)+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:46:40.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7 = -8+9 strategic 1 OK clt -8+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:47:08.0 HINT HINT ES_02c ES_02-7 EG41 x/7 = 1 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:47:09.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE In x/7, x is divided by 7. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:47:13.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by 7. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:47:37.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7 = 1 strategic 2 ERROR mt x/7 = 1 strategic condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:47:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7 = 1 strategic 3 OK multiply 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:47:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7*7 = 1*7 strategic 1 OK mt x/7*7 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:47:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x = 1*7 strategic 1 OK mt 1*7 condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:09.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6+y/6 = -4 strategic 1 ERROR add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6+y/6 = -4 strategic 2 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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:22.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6+y/6 = -4 strategic 3 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 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6+y/6 = -4 strategic 4 OK subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:42.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6+y/6-6 = -4-6 strategic 1 OK clt 6+y/6-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:42.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/6 = -4-6 strategic 1 OK clt -4-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:50.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/6 = -10 strategic 1 ERROR multiply 10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:48:56.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/6 = -10 strategic 2 OK multiply 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/6*6 = -10*6 strategic 1 OK mt y/6*6 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = -10*6 strategic 1 OK mt -10*6 condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:25.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8 = -6+y/4 strategic 1 ERROR add 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8 = -6+y/4 strategic 2 OK add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:41.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8+6 = -6+y/4+6 strategic 1 OK clt -8+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:42.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2 = -6+y/4+6 strategic 1 OK clt -6+y/4+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:51.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2 = y/4 strategic 1 BUG divide 4 To remove the coefficient of y/4, you need to divide by 1/4 or multiply by 4. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:49:59.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2 = y/4 strategic 2 OK multiply 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:03.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2*4 = y/4*4 strategic 1 OK mt -2*4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:03.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -8 = y/4*4 strategic 1 OK mt y/4*4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:38.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6+5 = 0 strategic 1 OK subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6+5-5 = 0-5 strategic 1 OK clt y/-6+5-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6 = 0-5 strategic 1 OK clt 0-5 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:48.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6 = -5 strategic 1 BUG multiply 6 Multiplying by 6 will leave -y. It is better to multiply by -6, because that will leave y. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:55.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6 = -5 strategic 2 OK multiply -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:59.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6*(-6) = -5*(-6) strategic 1 OK mt y/-6*(-6) condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:50:59.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = -5*(-6) strategic 1 OK mt -5*(-6) condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:51:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7+(-3) = 8 strategic 1 OK add 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:51:29.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7+(-3)+3 = 8+3 strategic 1 OK clt x/7+(-3)+3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:51:29.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7 = 8+3 strategic 1 OK clt 8+3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:51:35.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7 = 11 strategic 1 OK multiply 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:51:40.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/7*7 = 11*7 strategic 1 OK mt x/7*7 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:51:40.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x = 11*7 strategic 1 OK mt 11*7 condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:52:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4+(y/-2) = 7 strategic 1 OK add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:52:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4+(y/-2)+4 = 7+4 strategic 1 OK clt -4+(y/-2)+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:52:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2 = 7+4 strategic 1 OK clt 7+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:52:33.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2 = 11 strategic 1 OK multiply -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:52:37.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-2*(-2) = 11*(-2) strategic 1 OK mt y/-2*(-2) condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:52:37.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = 11*(-2) strategic 1 OK mt 11*(-2) condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:55:13.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7 = x/8+5 strategic 1 ERROR add 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:55:21.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7 = x/8+5 strategic 2 OK subtract 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:55:33.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7-5 = x/8+5-5 left 1 OK left -12 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:55:41.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -12 = x/8+5-5 right 1 OK right x/8 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:55:48.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -12 = x/8 strategic 1 OK multiply 8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:55:55.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -12*8 = x/8*8 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:56:29.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -12*8 = x left 1 OK left -96 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:56:57.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0 = 7+x/4 strategic 1 OK subtract 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:57:47.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0-7 = 7+x/4-7 left 1 BUG left 7 7 is equal to 0 plus 7. You need to calculate 0 minus 7. BUG condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:57:55.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0-7 = 7+x/4-7 left 2 OK left -7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:58:28.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7 = 7+x/4-7 right 1 OK right x/4 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:58:34.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7 = x/4 strategic 1 OK multiply 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:58:39.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7*4 = x/4*4 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:58:49.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7*4 = x left 1 OK left -28 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:59:34.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-9+(-10) = -8 strategic 1 OK add 10 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:59:42.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-9+(-10)+10 = -8+10 left 1 OK left x/-9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:59:50.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-9 = -8+10 right 1 OK right 2 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:59:55.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-9 = 2 strategic 1 OK multiply -9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 12:59:59.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-9*(-9) = 2*(-9) left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:00:07.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x = 2*(-9) right 1 ERROR right -7 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:00:27.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x = 2*(-9) right 2 OK right -18 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:00:46.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -10 = y/-9+(-10) strategic 1 OK add 10 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:00:50.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -10+10 = y/-9+(-10)+10 left 1 OK left 0 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:00:54.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0 = y/-9+(-10)+10 right 1 ERROR right y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:01:02.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0 = y/-9+(-10)+10 right 2 OK right y/-9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:01:07.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0 = y/-9 strategic 1 BUG multiply 19 Simplify the fraction y/-9. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:01:17.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0 = y/-9 strategic 2 OK multiply -9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:01:26.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0*(-9) = y/-9*(-9) left 1 OK left 0 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:01:28.0 CYCLE CYCLE ES_02c ES_02-8 EG41 0 = y/-9*(-9) right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:05:13.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 1 BUG multiply 6 To remove 6/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 6/x. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:05:26.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 2 BUG multiply 6 To remove 6/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 6/x. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:05:35.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 3 ERROR multiply 6/x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:05:53.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 4 BUG multiply -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:06:07.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 5 BUG multiply 6 To remove 6/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 6/x. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:06:23.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 6 ERROR multiply 6/x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:06:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1*(6/x) = 6/x*(6/x) strategic 1 OK mt -1*(6/x) condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:06:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -6/x = 6/x*(6/x) strategic 1 OK mt 6/x*(6/x) condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:06:48.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 7 BUG multiply -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:07:04.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 8 ERROR multiply 6x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:07:18.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 9 BUG multiply 6 To remove 6/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 6/x. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:07:41.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 10 ERROR multiply x/6 condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:09:20.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 11 ERROR mt -1 = 6/x strategic condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:09:29.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 12 ERROR distribute -1 = 6/x strategic condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:09:33.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 13 ERROR rf -1 = 6/x strategic condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:09:40.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 14 ERROR mt -1 = 6/x strategic condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session2 2007-03-13 13:09:43.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 15 ERROR clt -1 = 6/x strategic condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:13.0 HINT HINT ES_02c ES_02-9 EG44 -1 = 6/x strategic 1 INITIAL_HINT condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:15.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 6/x is 6 divided by x. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:19.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:25.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1 = 6/x strategic 2 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:34.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -1x = 6/x*x strategic 1 OK mt -1x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:34.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -x = 6/x*x strategic 1 OK mt 6/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:43.0 HINT HINT ES_02c ES_02-9 EG44 -x = 6 strategic 1 INITIAL_HINT condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:44.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:48.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:39:53.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -x = 6 strategic 2 OK divide -1 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:40:05.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -x/-1 = 6/-1 strategic 1 BUG distribute -x/-1 = 6/-1 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:40:14.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -x/-1 = 6/-1 strategic 2 OK rf -x/-1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:40:14.0 CYCLE CYCLE ES_02c ES_02-9 EG44 x = 6/-1 strategic 1 OK rf 6/-1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:40:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/x = -4 strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:40:33.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/x*x = -4x strategic 1 ERROR rf -7/x*x = -4x strategic condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:40:41.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/x*x = -4x strategic 2 OK mt -7/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:41:05.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7 = -4x strategic 1 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:41:14.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7 = -4x strategic 2 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:41:19.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/-4 = -4x/-4 strategic 1 OK rf -7/-4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:41:20.0 CYCLE CYCLE ES_02c ES_02-9 EG44 7/4 = -4x/-4 strategic 1 OK rf -4x/-4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:41:52.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -3/x = 7 strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:41:56.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -3/x*x = 7x strategic 1 OK mt -3/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:42:03.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -3 = 7x strategic 1 OK divide 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:42:06.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -3/7 = 7x/7 strategic 1 OK rf 7x/7 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:42:20.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -3 = 7x strategic 2 OK divide 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:42:24.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -3/7 = 7x/7 strategic 2 BUG distribute -3/7 = 7x/7 strategic Simplify the fraction 7x/7. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:42:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -3/7 = 7x/7 strategic 3 OK rf 7x/7 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:47:44.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x = -10 strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:47:58.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x right 1 BUG right 10x You are multiplying a negative by a positive. The result should be negative. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:48:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x right 2 OK right -10x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:48:15.0 HINT HINT ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:48:16.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Type in -9/x*x on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:48:25.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x left 1 OK left -9/x*x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:48:35.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 2 OK mt -9/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:48:44.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:49:17.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 3 OK mt -9/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:49:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 2 ERROR -9/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:49:38.0 HINT HINT ES_02c ES_02-10 EG44 pm-r-num-node strategic 3 INITIAL_HINT -9/x You need to multiply the numerators together. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:49:50.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 4 OK -9*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:49:58.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-den-node strategic 1 ERROR -x*1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:02.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-den-node strategic 2 OK x*1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:11.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE What is -9 times x? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:19.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 1 ERROR -9x condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:22.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type -9x. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:38.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE What is -9 times x? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:41.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Type -9x. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:48.0 HINT HINT ES_02c ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT -9x Simplify the above fraction. HINT 1 condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:51.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE Type -9x/x. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:50:58.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 3 OK -9x/x condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:03.0 HINT HINT ES_02c ES_02-10 EG44 -9x/x = -10x strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:05.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 7 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:09.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9x/x = -10x strategic 2 OK rf -9x/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:20.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-constant factors strategic 1 OK -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:24.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-x strategic 1 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:25.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:26.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-x strategic 1 OK 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:37.0 HINT HINT ES_02c ES_02-10 EG44 row1-D-constant factors strategic 2 INITIAL_HINT 1/[x] This entry box represent the constant factor of the denominator. Find the constant factor in the denominator of the expression -9x/x. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:51:53.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 8 HINT_LEVEL_CHANGE Because there are no constant factors in the denominator of -9x/x, you must double-click to enter a 1 here. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:02.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9x/x = -10x strategic 3 OK rf -9x/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:05.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-constant factors strategic 2 OK -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:09.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-constant factors strategic 3 ERROR 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:10.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-x strategic 2 OK 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:11.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-x strategic 2 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:19.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9x/x = -10x strategic 4 OK rf -9x/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:24.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 1 BUG 9 9
Perhaps you should fill in the numerator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 2 BUG - -
Perhaps you should fill in the numerator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:33.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 3 BUG 9 9
Perhaps you should fill in the numerator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:36.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 4 BUG -9 -9
Perhaps you should fill in the numerator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:43.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 5 BUG -9*x -9*x
Perhaps you should fill in the numerator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:49.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2x strategic 1 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:52:58.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 6 BUG 9*1 9*1
Perhaps you should fill in the numerator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:53:01.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 7 INITIAL_HINT 9*1 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 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:53:24.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-constant factors strategic 4 ERROR -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:53:27.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-constant factors strategic 3 OK -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:53:33.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-x strategic 3 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:53:39.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-x strategic 3 OK 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:59:27.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9x/x = -10x strategic 5 BUG add 10 Simplify the fraction -9x/x. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 12:59:37.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9x/x = -10x strategic 6 BUG add 10 Simplify the fraction -9x/x. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:01:43.0 HINT HINT ES_02c ES_02-10 EG44 -9/x = -10 strategic 1 INITIAL_HINT condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:01:45.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE -9/x is -9 divided by x. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:01:49.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:01:55.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x = -10 strategic 2 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:02:09.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x left 1 ERROR left -9x*x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:02:17.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x left 2 OK left -9/x*x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:02:22.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x right 1 OK right -10x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:02:30.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 1 OK mt -9/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:03:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 1 OK -9*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:03:17.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-den-node strategic 1 OK x*1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:03:26.0 HINT HINT ES_02c ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:03:27.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type -9x/x. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:03:33.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 2 OK -9x/x condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:03:37.0 HINT HINT ES_02c ES_02-10 EG44 -9x/x = -10x strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:03:41.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:04:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9x/x = -10x strategic 2 OK rf -9x/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:03.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 1 BUG -9x -9x
Perhaps you should fill in the numerator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:07.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-constant factors strategic 1 OK -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:08.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-x strategic 1 ERROR x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-x strategic 2 OK 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-x strategic 1 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:46.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 1 BUG x x
Perhaps you should fill in the denominator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:48.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 2 BUG -9 -9
Perhaps you should fill in the denominator of the constant factors above. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:05:52.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 3 INITIAL_HINT -9 Because there are no constant factors in the denominator of -9x/x, you must double-click in order to enter a 1. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:00.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:18.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 4 ERROR -9x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:20.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2x strategic 1 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:27.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-x strategic 1 ERROR x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:30.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT -9x You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:37.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -9 and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:51.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 6 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:06:53.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE 1 will go into both -9 and 1 and is the most appropriate common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session3 2007-03-14 13:07:30.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:14:59.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x = -10 strategic 1 ERROR add 10 condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:02.0 HINT HINT ES_02c ES_02-10 EG44 -9/x = -10 strategic 2 INITIAL_HINT condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:03.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE -9/x is -9 divided by x. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:06.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:12.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x = -10 strategic 3 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:29.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x left 1 OK left -9/x*x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:32.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x right 1 BUG right 10x You are multiplying a negative by a positive. The result should be negative. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:36.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x right 2 OK right -10x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:15:55.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 1 BUG multiply -9 To remove the coefficient of -9/x*x, you need to divide. Erase your last step and then divide both sides by -9. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:16:05.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 2 BUG divide x Put the expression in its simplest form by performing multiplication on the left side. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:16:15.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 3 ERROR rf -9/x*x = -10x strategic condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:16:52.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 4 BUG multiply -9x Put the expression in its simplest form by performing multiplication on the left side. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:06.0 HINT HINT ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 5 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:08.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:19.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 6 BUG multiply 10 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:30.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/x*x = -10x strategic 7 OK mt -9/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:39.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 1 OK -9*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-den-node strategic 1 OK x*1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:51.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 1 OK -9x/x condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:55.0 HINT HINT ES_02c ES_02-10 EG44 -9x/x = -10x strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:17:56.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:00.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9x/x = -10x strategic 2 OK rf -9x/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:09.0 HINT HINT ES_02c ES_02-10 EG44 row1-N-x strategic 1 INITIAL_HINT This entry box represent the x factor of the numerator. Find the x factor in the numerator of the expression -9x/x. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:16.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Drag x here. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:22.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-x strategic 2 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:29.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-constant factors strategic 1 OK -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-x strategic 1 OK 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:36.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:43.0 HINT HINT ES_02c ES_02-10 EG44 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 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:49.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -9 and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:18:58.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 7 HINT_LEVEL_CHANGE 1 will go into both -9 and 1 and is the most appropriate common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 2 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:08.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2x strategic 1 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:16.0 HINT HINT ES_02c ES_02-10 EG44 row3-N-constant factors strategic 2 INITIAL_HINT x The common factor between the numerator and denominator of [-9]/[1] is 1. This set of entry boxes represent the simplified form of [-9]/[1]. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:28.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 8 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:42.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 9 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -9, by 1, the common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:49.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 3 OK -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:53.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-x strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:57.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 10 HINT_LEVEL_CHANGE Type -9. HINT 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:19:59.0 HINT HINT ES_02c ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-9]/[1] is 1. This set of entry boxes represent the simplified form of [-9]/[1]. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:20:04.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 11 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:20:15.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 12 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 1, by 1, the common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:20:18.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 13 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:20:20.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:20:22.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-x strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:20:26.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 2 OK -9 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:02.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9 = -10x strategic 1 BUG add 10 In -10x, x is multiplied by -10. How do you undo multiplication? BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:06.0 HINT HINT ES_02c ES_02-10 EG44 -9 = -10x strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:09.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 14 HINT_LEVEL_CHANGE -10x is -10 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:12.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 15 HINT_LEVEL_CHANGE Divide both sides by -10. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:17.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9 = -10x strategic 3 OK divide -10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:29.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/-10 = -10x/-10 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/-10 = x left 1 ERROR left -10 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:45.0 HINT HINT ES_02c ES_02-10 EG44 -9/-10 = x strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:47.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 16 HINT_LEVEL_CHANGE Type in -9/-10 on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:21:53.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/-10 = x left 2 OK left -9/-10 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:01.0 HINT HINT ES_02c ES_02-10 EG44 -9/-10 = x strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:02.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 17 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:06.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 18 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:10.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9/-10 = x strategic 3 OK rf -9/-10 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:40.0 HINT HINT ES_02c ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT In the above expression you have -9/-10. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:43.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 19 HINT_LEVEL_CHANGE To simplify, divide -10 into -9. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:46.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 20 HINT_LEVEL_CHANGE Type 9/10. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:22:50.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 4 OK 9/10 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:23:54.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/x = -4 strategic 1 ERROR divide x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:23:57.0 HINT HINT ES_02c ES_02-10 EG44 -2/x = -4 strategic 2 INITIAL_HINT condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:23:58.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE -2/x is -2 divided by x. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:01.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:07.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/x = -4 strategic 3 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/x*x = -4x right 1 OK right -4x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:20.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/x*x = -4x left 1 ERROR left -2x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:23.0 HINT HINT ES_02c ES_02-10 EG44 -2/x*x = -4x strategic 1 INITIAL_HINT condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:25.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Type in -2/x*x on the left. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:36.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/x*x = -4x left 2 ERROR left -2x*x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/x*x = -4x left 3 OK left -2/x*x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:48.0 HINT HINT ES_02c ES_02-10 EG44 -2/x*x = -4x strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:49.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:52.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/x*x = -4x strategic 3 OK mt -2/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:24:55.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 1 ERROR 12 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:25:05.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 2 ERROR -2/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:25:11.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 3 OK -2*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:25:34.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-den-node strategic 1 OK x*1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:25:43.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 1 ERROR -2x/1 condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:25:53.0 HINT HINT ES_02c ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT -2x/1 Simplify the above fraction. HINT 1 condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:25:54.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Type -2x/x. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:01.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 3 OK -2x/x condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:21.0 HINT HINT ES_02c ES_02-10 EG44 -2x/x = -4x strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:23.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:27.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2x/x = -4x strategic 2 OK rf -2x/x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:29.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-constant factors strategic 1 OK -2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:30.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-x strategic 1 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-x strategic 1 OK 1/[x] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:34.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:41.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 1 ERROR -2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:46.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT -2 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:47.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 7 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator -2 and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:51.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 8 HINT_LEVEL_CHANGE 1 will go into both -2 and 1 and is the most appropriate common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:57.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 3 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:26:59.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2x strategic 1 ERROR 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:02.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2x strategic 2 OK x condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 1 OK -2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:07.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-x strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:08.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:08.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-x strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:23.0 HINT HINT ES_02c ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT In the above expression you have -2x/x. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:25.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 9 HINT_LEVEL_CHANGE To simplify, divide x into -2x. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:28.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 10 HINT_LEVEL_CHANGE Type -2. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:30.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 5 OK -2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:37.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2 = -4x strategic 1 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:41.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/-4 = -4x/-4 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:27:47.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -2/-4 = x left 1 OK left 2/4 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:22.0 HINT HINT ES_02c ES_02-10 EG44 2/4 = x strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:23.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 11 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:28.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2/4 = x strategic 2 OK rf 2/4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:34.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 4 OK 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:38.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:40.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 4 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:47.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 2 ERROR 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:51.0 HINT HINT ES_02c ES_02-10 EG44 row3-D-constant factors strategic 3 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 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:28:58.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 12 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:29:02.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 13 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 4, by 2, the common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:29:06.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 14 HINT_LEVEL_CHANGE Type 2. HINT 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:29:09.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 4 OK 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:29:16.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 6 OK 1/2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:18.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4 = -2/y strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:23.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y = -2/y*y left 1 OK left -4y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:33.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y = -2/y*y right 1 OK right -2/y*y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:38.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y = -2/y*y strategic 1 ERROR rf -4y = -2/y*y strategic condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:43.0 HINT HINT ES_02c ES_02-10 EG44 -4y = -2/y*y strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:44.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:47.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y = -2/y*y strategic 3 OK mt -2/y*y condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:55.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-num-node strategic 1 OK -2*y condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:30:59.0 CYCLE CYCLE ES_02c ES_02-10 EG44 pm-r-den-node strategic 1 OK y*1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:08.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 1 OK -2y/y condition 3 perform-mult-r-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:35.0 HINT HINT ES_02c ES_02-10 EG44 -4y = -2y/y strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:36.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:40.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y = -2y/y strategic 2 OK rf -2y/y condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:41.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-constant factors strategic 1 OK -2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:43.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-N-y strategic 1 OK y condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:44.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-y strategic 1 OK 1/[y] condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:45.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:51.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:31:59.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2y strategic 1 OK y condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:02.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 1 OK -2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:03.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-y strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-y strategic 1 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:09.0 HINT HINT ES_02c ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT In the above expression you have -2y/y. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:10.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide y into -2y. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:15.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Type -2. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:18.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 3 OK -2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:30.0 HINT HINT ES_02c ES_02-10 EG44 -4y = -2 strategic 1 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:31.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE -4y is -4 times y. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:39.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y = -2 strategic 2 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 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:45.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y/4 = -2/4 left 1 ERROR left -4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:53.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y = -2 strategic 3 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:57.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4y/-4 = -2/-4 left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:32:59.0 CYCLE CYCLE ES_02c ES_02-10 EG44 y = -2/-4 right 1 OK right 2/4 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:33:03.0 CYCLE CYCLE ES_02c ES_02-10 EG44 y = 2/4 strategic 1 OK rf 2/4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:33:09.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 2 ERROR 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:33:11.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 3 OK 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:33:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 2 OK 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:33:14.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 2 OK 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D6XHX session4 2007-03-16 13:33:17.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 4 OK 1/2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02c
D96C5 session0 2007-03-27 10:03:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 9+(-4y) strategic 1 ERROR clt 10 = 9+(-4y) strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:03:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10 = 9+(-4y) strategic 2 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:03:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10-9 = 9+(-4y)-9 strategic 1 OK rds 10-9 = 9+(-4y)-9 strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:04:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 10-9 = 9-4y-9 strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:04:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (10-9)/-4 = (9-4y-9)/-4 strategic 1 OK rf (10-9)/-4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:04:23.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -(10-9)/4 = (9-4y-9)/-4 strategic 1 OK rf (9-4y-9)/-4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:04:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -(10-9)/4 = -(9-4y-9)/4 strategic 1 OK clt 10-9 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:04:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/4 = -(9-4y-9)/4 strategic 1 OK clt 9-4y-9 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:04:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/4 = -(-4y)/4 strategic 1 BUG divide -4 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:04:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/4 = -(-4y)/4 strategic 2 BUG rf -1/4 = -(-4y)/4 strategic You need to perform multiplication before you can simplify fractions. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:05:08.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/4 = -(-4y)/4 strategic 3 BUG divide 4 Put the expression in its simplest form by performing multiplication on the right side. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:05:12.0 HINT HINT ES_02b ES_02-5 EG40 -1/4 = -(-4y)/4 strategic 4 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:05:14.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:05:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/4 = -(-4y)/4 strategic 5 OK mt -(-4y) condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:05:31.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -1/4 = 4y/4 strategic 1 OK rf 4y/4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:07:50.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y+5 = 0 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:07:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y+5-5 = 0-5 left 1 OK left -8y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:07:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y = 0-5 right 1 OK right -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:08:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y = -5 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:08:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y/-8 = -5/-8 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:08:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -5/-8 right 1 OK right .625 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6 = y/10+(-9) strategic 1 OK add 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:21.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6+9 = y/10+(-9)+9 strategic 1 ERROR mt -6+9 = y/10+(-9)+9 strategic condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6+9 = y/10+(-9)+9 strategic 2 OK clt -6+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = y/10+(-9)+9 strategic 1 OK clt y/10+(-9)+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:35.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = y/10 strategic 1 BUG divide 10 To remove the coefficient of y/10, you need to divide by 1/10 or multiply by 10. BUG condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = y/10 strategic 2 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3*10 = y/10*10 strategic 1 OK mt 3*10 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:12:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = y/10*10 strategic 1 OK mt y/10*10 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:13:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8+y/8 = -3 strategic 1 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:13:21.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8+y/8-8 = -3-8 strategic 1 ERROR rds 8+y/8-8 = -3-8 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:13:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8+y/8-8 = -3-8 strategic 2 OK clt 8+y/8-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:13:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/8 = -3-8 strategic 1 OK clt -3-8 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/8 = -11 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/8*8 = -11*8 strategic 1 OK mt y/8*8 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -11*8 strategic 1 OK mt -11*8 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9 = y/8+(-7) strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9+7 = y/8+(-7)+7 strategic 1 OK clt -9+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2 = y/8+(-7)+7 strategic 1 OK clt y/8+(-7)+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2 = y/8 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -2*8 = y/8*8 strategic 1 OK mt -2*8 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:14:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = y/8*8 strategic 1 OK mt y/8*8 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:15:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4+x/7 = -7 strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:15:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4+x/7+4 = -7+4 strategic 1 OK clt -4+x/7+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:15:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/7 = -7+4 strategic 1 OK clt -7+4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:15:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/7 = -3 strategic 1 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:15:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/7*7 = -3*7 strategic 1 OK mt x/7*7 condition 2 goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:15:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -3*7 strategic 1 OK mt -3*7 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:25:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 9 = -10+(y/-3) strategic 1 OK add 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:25:28.0 CYCLE CYCLE ES_02b ES_02-8 EG41 9+10 = -10+(y/-3)+10 left 1 OK left 19 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:25:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 19 = -10+(y/-3)+10 right 1 OK right y/-3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:25:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 19 = y/-3 strategic 1 OK multiply -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:25:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 19*(-3) = y/-3*(-3) right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:26:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 19*(-3) = y left 1 OK left -57 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:26:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4 = 4+y/4 strategic 1 OK add -4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:26:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4+(-4) = 4+y/4+(-4) left 1 OK left -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:26:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8 = 4+y/4+(-4) right 1 OK right y/4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:26:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8 = y/4 strategic 1 OK multiply 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:26:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -8*4 = y/4*4 left 1 OK left -32 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
D96C5 session0 2007-03-27 10:26:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -32 = y/4*4 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02b
GaWjh session0 2007-02-21 17:34:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8 = 3 strategic 1 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:35:15.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 1 ERROR rds -9x+8-8 = 3-8 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:35:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 2 BUG divide 9 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:35:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8 = 3 strategic 2 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:36:22.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 3 BUG subtract -9x You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:36:35.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8 = 3 strategic 3 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:36:42.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 4 ERROR distribute -9x+8-8 = 3-8 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:36:46.0 HINT HINT ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 5 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:36:47.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:37:04.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 6 BUG subtract 8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:37:34.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8 = 3 strategic 4 OK subtract +8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:37:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 7 OK divide -9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:38:06.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 (-9x+8-8)/-9 = (3-8)/-9 strategic 1 OK rf (-9x+8-8)/-9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:38:06.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -(-9x+8-8)/9 = (3-8)/-9 strategic 1 OK rf (3-8)/-9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:38:57.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -(-9x+8-8)/9 = -(3-8)/9 strategic 1 ERROR rf -(-9x+8-8)/9 = -(3-8)/9 strategic condition 4 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:39:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8 = 3 strategic 5 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:39:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x+8-8 = 3-8 strategic 8 OK clt -9x+8-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:39:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x = 3-8 strategic 1 OK clt 3-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:39:59.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x = -5 strategic 1 OK divide -9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:40:06.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -9x/-9 = -5/-9 strategic 1 OK rf -9x/-9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:40:06.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 x = -5/-9 strategic 1 OK rf -5/-9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:43:44.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 7 = 8y+(-6) strategic 1 OK add 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:43:50.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 7+6 = 8y+(-6)+6 left 1 BUG left 7 You haven't performed any operations. BUG condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:44:05.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 7+6 = 8y+(-6)+6 left 2 OK left 13 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:44:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 8y+(-6)+6 right 1 OK right 8y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:44:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13 = 8y strategic 1 OK divide 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:44:38.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/8 = 8y/8 left 1 ERROR left 1 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:44:42.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/8 = 8y/8 right 1 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:44:48.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/8 = y left 1 ERROR left 1.6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:45:10.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 13/8 = y left 2 OK left 1.625 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:46:27.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x+3 = 4 strategic 1 OK subtract 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:46:31.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x+3-3 = 4-3 left 1 ERROR left 3 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:46:38.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x+3-3 = 4-3 left 2 OK left -7x condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:46:40.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x = 4-3 right 1 OK right 1 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:10.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x = 1 strategic 1 OK divide -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:14.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -7x/-7 = 1/-7 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:21.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 x = 1/-7 right 1 OK right 1/-7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:29.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 x = 1/-7 strategic 1 OK rf 1/-7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:46.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 1 ERROR 7 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:48.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 2 ERROR 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:51.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 3 ERROR -1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:51.0 HINT HINT ES_02orig ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT -1 In the above expression you have 1/-7. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:47:58.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 5 ERROR -7 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:48:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 6 BUG 1/7 1/7
Check the sign of your answer. BUG condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:48:17.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 7 OK 1/-7 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:48:25.0 HINT HINT ES_02orig ES_02-6 EG40 x = 1/-7 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:51:45.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 x = 1/-7 strategic 3 OK rf 1/-7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:51:52.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 8 OK -1/7 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:57:44.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 7 = -4y+(-9) strategic 1 OK add +9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:57:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 7+9 = -4y+(-9)+9 left 1 OK left 16 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:58:08.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16 = -4y+(-9)+9 right 1 OK right -4y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:58:15.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16 = -4y strategic 1 OK divide -4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:58:19.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16/-4 = -4y/-4 right 1 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:58:42.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16/-4 = y left 1 ERROR left 12 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session0 2007-02-21 17:58:46.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16/-4 = y left 2 ERROR left -12 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:22:39.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16/-4 = y left 1 ERROR left 12 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:23:15.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16/-4 = y left 2 BUG left -.25 You need to calculate 16 divided by -4, not -4 divided by 16. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:23:33.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 16/-4 = y left 3 OK left -4 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:24:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2 = 2x+(-6) strategic 1 OK add 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:24:26.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -2+6 = 2x+(-6)+6 left 1 OK left 4 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:24:32.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 4 = 2x+(-6)+6 right 1 OK right 2x condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:24:38.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 4 = 2x strategic 1 OK divide 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:24:42.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 4/2 = 2x/2 left 1 OK left 2 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:24:43.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 2 = 2x/2 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:25:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -7+y/9 = -8 strategic 1 OK add 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:25:26.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -7+y/9+7 = -8+7 strategic 1 ERROR distribute -7+y/9+7 = -8+7 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:25:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -7+y/9+7 = -8+7 strategic 2 ERROR rds -7+y/9+7 = -8+7 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:25:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -7+y/9+7 = -8+7 strategic 3 OK clt -7+y/9+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:25:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/9 = -8+7 strategic 1 OK clt -8+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:25:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/9 = -1 strategic 1 OK multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:26:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/9*9 = -1*9 strategic 1 OK mt y/9*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:26:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = -1*9 strategic 1 OK mt -1*9 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:29:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = 4+(y/-9) strategic 1 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:29:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3-4 = 4+(y/-9)-4 strategic 1 OK clt 3-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:29:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = 4+(y/-9)-4 strategic 1 OK clt 4+(y/-9)-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:29:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = y/-9 strategic 1 BUG divide -9 To remove the coefficient of y/-9, you need to divide by 1/-9 or multiply by -9. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:29:55.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = y/-9 strategic 2 BUG divide 9 Simplify the fraction y/-9. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:30:05.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = y/-9 strategic 3 OK rf y/-9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:30:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = -y/9 strategic 1 OK multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:30:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1*9 = -y/9*9 strategic 1 OK mt -1*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:30:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = -y/9*9 strategic 1 OK mt -y/9*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:30:43.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = -9y/9 strategic 1 BUG divide 9 Simplify the fraction -9y/9. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:31:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1 = -y/9 strategic 2 OK multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:31:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -1*9 = -y/9*9 strategic 2 OK mt -1*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:31:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = -y/9*9 strategic 2 OK mt -y/9*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:35:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = -9y/9 strategic 2 OK rf -9y/9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:35:31.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = -y strategic 1 ERROR rds -9 = -y strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:35:48.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = -y strategic 2 OK multiply -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:36:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9*(-1) = -y*(-1) strategic 1 OK mt -9*(-1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:36:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 9 = -y*(-1) strategic 1 OK mt -y*(-1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:36:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4+(x/-6) = -5 strategic 1 OK add 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4+(x/-6)+4 = -5+4 strategic 1 OK clt -4+(x/-6)+4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-6 = -5+4 strategic 1 OK clt -5+4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:07.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-6 = -1 strategic 1 OK rf x/-6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6 = -1 strategic 1 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:21.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6*6 = -1*6 strategic 1 OK mt -x/6*6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:21.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6x/6 = -1*6 strategic 1 OK mt -1*6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:31.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6x/6 = -6 strategic 1 BUG rds -6x/6 = -6 strategic Simplify the fraction -6x/6. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6x/6 = -6 strategic 2 OK rf -6x/6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x = -6 strategic 1 OK multiply -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:54.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x*(-1) = -6*(-1) strategic 1 OK mt -x*(-1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:37:54.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = -6*(-1) strategic 1 OK mt -6*(-1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:39:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/6+(-9) = 2 strategic 1 OK add 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:39:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/6+(-9)+9 = 2+9 left 1 OK left x/6 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:39:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/6 = 2+9 right 1 OK right 11 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:40:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/6 = 11 strategic 1 BUG divide 6 To remove the coefficient of x/6, you need to divide by 1/6 or multiply by 6. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:40:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/6 = 11 strategic 2 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:41:01.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/6*6 = 11*6 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:41:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = 11*6 right 1 OK right 66 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:43:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -2 = -2+y/8 strategic 1 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:43:19.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -2+2 = -2+y/8+2 left 1 OK left 0 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:43:29.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = -2+y/8+2 right 1 OK right y/8 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:43:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = y/8 strategic 1 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:43:39.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0*8 = y/8*8 left 1 OK left 0 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:43:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = y/8*8 right 1 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:44:40.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 1 BUG multiply 2 To remove 2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 2/x. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:44:52.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 2 BUG multiply 2 To remove 2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 2/x. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:45:04.0 HINT HINT ES_02orig ES_02-9 EG44 -10 = 2/x strategic 3 INITIAL_HINT condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:45:10.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 2/x is 2 divided by x. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session1 2007-02-22 15:45:27.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 4 BUG multiply 2 To remove 2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 2/x. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session2 2007-02-28 17:38:11.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 1 BUG multiply 2 To remove 2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 2/x. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session2 2007-02-28 17:39:10.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 2 ERROR rf -10 = 2/x strategic condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session2 2007-02-28 17:39:22.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 3 ERROR add 2 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session2 2007-02-28 17:39:34.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 4 ERROR divide +2 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session3 2007-02-28 17:55:51.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10 = 2/x strategic 5 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session3 2007-02-28 17:55:56.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10x = 2/x*x strategic 1 OK mt 2/x*x condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session3 2007-02-28 17:56:05.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10x = 2 strategic 1 OK divide -10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session3 2007-02-28 17:56:17.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10x/-10 = 2/-10 strategic 1 BUG mt -10x/-10 = 2/-10 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session3 2007-02-28 17:56:26.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10x/-10 = 2/-10 strategic 2 BUG mt -10x/-10 = 2/-10 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session3 2007-02-28 17:56:43.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -10x/-10 = 2/-10 strategic 3 OK rf -10x/-10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session3 2007-02-28 17:56:44.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 x = 2/-10 strategic 1 OK rf 2/-10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:43:02.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8 = 8/x strategic 1 ERROR distribute 8 = 8/x strategic condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:43:18.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8 = 8/x strategic 2 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:43:29.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/8 = (8/x)/8 strategic 1 BUG subtract 36 Simplify the fraction 8/8. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:54:16.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8 = 8/x strategic 3 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:54:20.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8x = 8/x*x strategic 1 OK mt 8/x*x condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:54:25.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8x = 8 strategic 1 OK divide 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:54:38.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8x/8 = 8/8 strategic 1 BUG mt 8x/8 = 8/8 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:54:52.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8x/8 = 8/8 strategic 2 OK rf 8x/8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
GaWjh session4 2007-03-07 17:54:52.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 x = 8/8 strategic 1 OK rf 8/8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:29:28.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -5 = 5x+2 strategic 1 OK subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:00.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -5 = 5x+2 strategic 2 ERROR rds -5 = 5x+2 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -5 = 5x+2 strategic 3 OK subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:11.0 HINT HINT ES_02orig ES_02-5 EG40 -5-2 = 5x+2-2 strategic 1 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:12.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -5-2 = 5x+2-2 strategic 2 OK clt -5-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 5x+2-2 strategic 1 OK clt 5x+2-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 5x strategic 1 OK divide 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:31.0 HINT HINT ES_02orig ES_02-5 EG40 -7/5 = 5x/5 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:31.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:34.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7/5 = 5x/5 strategic 2 OK rf 5x/5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:53.0 HINT HINT ES_02orig ES_02-6 EG40 -10y+(-2) = 3 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:54.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:30:59.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y+(-2) = 3 strategic 2 OK rds -10y+(-2) = 3 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:03.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y-2 = 3 strategic 1 ERROR rf -10y-2 = 3 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:06.0 HINT HINT ES_02orig ES_02-6 EG40 -10y-2 = 3 strategic 2 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:06.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:13.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y-2 = 3 strategic 3 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:18.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y-2+2 = 3+2 left 1 OK left -10y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y = 3+2 right 1 OK right 5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:23.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y = 5 strategic 1 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:30.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y = 5 strategic 2 OK divide -10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:33.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -10y/-10 = 5/-10 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:31:55.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 5/-10 right 1 OK right -0.5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:11.0 HINT HINT ES_02orig ES_02-7 EG41 6 = 8+(x/-2) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:12.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:15.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = 8+(x/-2) strategic 2 OK rf x/-2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:23.0 HINT HINT ES_02orig ES_02-7 EG41 6 = 8+(-x/2) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:24.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = 8+(-x/2) strategic 2 ERROR rf 6 = 8+(-x/2) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = 8+(-x/2) strategic 3 OK rds 6 = 8+(-x/2) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:34.0 HINT HINT ES_02orig ES_02-7 EG41 6 = 8-x/2 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:34.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:38.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = 8-x/2 strategic 2 ERROR multiply 8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:32:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = 8-x/2 strategic 3 ERROR multiply 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = 8-x/2 strategic 4 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:13.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = 8-x/2 strategic 5 OK subtract 8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:16.0 HINT HINT ES_02orig ES_02-7 EG41 6-8 = 8-x/2-8 strategic 1 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:20.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6-8 = 8-x/2-8 strategic 2 ERROR rf 6-8 = 8-x/2-8 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:22.0 HINT HINT ES_02orig ES_02-7 EG41 6-8 = 8-x/2-8 strategic 3 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:23.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6-8 = 8-x/2-8 strategic 4 OK clt 6-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = 8-x/2-8 strategic 1 OK clt 8-x/2-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:31.0 HINT HINT ES_02orig ES_02-7 EG41 -2 = -x/2 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:32.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE In -x/2, x is multiplied by -1/2. How do you change the -1/2 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:35.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE Multiplying something by its reciprocal changes it into 1. Multiply both sides by -2/1, which is the same as mulitplying by -2. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:41.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/2 strategic 2 ERROR mt -2 = -x/2 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:50.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/2 strategic 3 OK multiply 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:53.0 HINT HINT ES_02orig ES_02-7 EG41 -2*2 = -x/2*2 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:55.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2*2 = -x/2*2 strategic 2 OK mt -2*2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:33:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4 = -x/2*2 strategic 1 OK mt -x/2*2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:13.0 HINT HINT ES_02orig ES_02-7 EG41 -2 = 8-x/2-8 strategic 2 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:14.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 10 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = 8-x/2-8 strategic 3 OK clt 8-x/2-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:18.0 HINT HINT ES_02orig ES_02-7 EG41 -2 = -x/2 strategic 4 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:19.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 11 HINT_LEVEL_CHANGE In -x/2, x is multiplied by -1/2. How do you change the -1/2 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:22.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 12 HINT_LEVEL_CHANGE Multiplying something by its reciprocal changes it into 1. Multiply both sides by -2/1, which is the same as mulitplying by -2. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -x/2 strategic 5 OK multiply -2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:35.0 HINT HINT ES_02orig ES_02-7 EG41 -2*(-2/1) = -x/2*(-2/1) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:36.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 13 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2*(-2/1) = -x/2*(-2/1) strategic 2 OK mt -2*(-2/1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:45.0 HINT HINT ES_02orig ES_02-7 EG41 4/1 = -x/2*(-2/1) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:46.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 14 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4/1 = -x/2*(-2/1) strategic 2 OK mt -x/2*(-2/1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:34:57.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4/1 = x strategic 1 OK rf 4/1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:18.0 HINT HINT ES_02orig ES_02-7 EG41 x/-2+(-3) = 3 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:18.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:23.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-2+(-3) = 3 strategic 2 OK rds x/-2+(-3) = 3 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-2-3 = 3 strategic 1 BUG mt x/-2-3 = 3 strategic Simplify the fraction x/-2. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:35.0 HINT HINT ES_02orig ES_02-7 EG41 x/-2-3 = 3 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:36.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:40.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-2-3 = 3 strategic 3 OK rf x/-2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/2-3 = 3 strategic 1 ERROR mt -x/2-3 = 3 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:49.0 HINT HINT ES_02orig ES_02-7 EG41 -x/2-3 = 3 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:50.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:35:53.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/2-3 = 3 strategic 3 OK add 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:06.0 HINT HINT ES_02orig ES_02-7 EG41 -x/2-3+3 = 3+3 strategic 1 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:06.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/2-3+3 = 3+3 strategic 2 OK clt 3+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:15.0 HINT HINT ES_02orig ES_02-7 EG41 -x/2-3+3 = 6 strategic 1 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:15.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/2-3+3 = 6 strategic 2 OK clt -x/2-3+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:21.0 HINT HINT ES_02orig ES_02-7 EG41 -x/2 = 6 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:21.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE In -x/2, x is multiplied by -1/2. How do you change the -1/2 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:25.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE Multiplying something by its reciprocal changes it into 1. Multiply both sides by -2/1, which is the same as mulitplying by -2. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/2 = 6 strategic 2 OK multiply -2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:35.0 HINT HINT ES_02orig ES_02-7 EG41 -x/2*(-2/1) = 6*(-2/1) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:35.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 10 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/2*(-2/1) = 6*(-2/1) strategic 2 OK mt 6*(-2/1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:48.0 HINT HINT ES_02orig ES_02-7 EG41 -x/2*(-2/1) = -12/1 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:49.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 11 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/2*(-2/1) = -12/1 strategic 2 OK mt -x/2*(-2/1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:57.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = -12/1 strategic 1 OK rf -12/1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:36:59.0 HINT HINT ES_02orig ES_02-7 EG41 x = -12 strategic 1 INITIAL_HINT condition 4 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:14.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 10 = y/8+2 strategic 1 ERROR rds 10 = y/8+2 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:18.0 HINT HINT ES_02orig ES_02-7 EG41 10 = y/8+2 strategic 2 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:19.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:23.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:31.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 10 = y/8+2 strategic 3 OK subtract 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:33.0 HINT HINT ES_02orig ES_02-7 EG41 10-2 = y/8+2-2 strategic 1 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:34.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:37.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 10-2 = y/8+2-2 strategic 2 OK clt y/8+2-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:41.0 HINT HINT ES_02orig ES_02-7 EG41 10-2 = y/8 strategic 1 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:42.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:43.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 10-2 = y/8 strategic 2 OK clt 10-2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:47.0 HINT HINT ES_02orig ES_02-7 EG41 8 = y/8 strategic 1 INITIAL_HINT condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:48.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In y/8, y is divided by 8. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:52.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Multiply both sides by 8. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 8 = y/8 strategic 2 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:37:59.0 HINT HINT ES_02orig ES_02-7 EG41 8*8 = y/8*8 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:38:06.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:38:26.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 8*8 = y/8*8 strategic 2 OK mt 8*8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:38:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 64 = y/8*8 strategic 1 OK mt y/8*8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:38:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2+(y/-7) = -6 strategic 1 BUG rds -2+(y/-7) = -6 strategic Simplify the fraction y/-7. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:38:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2+(y/-7) = -6 strategic 2 OK rf y/-7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:38:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2+(y/-7) = -6 strategic 3 OK rf y/-7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2+(-y/7) = -6 strategic 1 ERROR multiply 7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:07.0 HINT HINT ES_02orig ES_02-7 EG41 -2+(-y/7) = -6 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:07.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2+(-y/7) = -6 strategic 3 OK rds -2+(-y/7) = -6 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:14.0 HINT HINT ES_02orig ES_02-7 EG41 -2-y/7 = -6 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:16.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:19.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2-y/7 = -6 strategic 2 OK add 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2-y/7+2 = -6+2 strategic 1 ERROR rf -2-y/7+2 = -6+2 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:37.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2-y/7+2 = -6+2 strategic 2 OK clt -2-y/7+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y/7 = -6+2 strategic 1 OK clt -6+2 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:43.0 HINT HINT ES_02orig ES_02-7 EG41 -y/7 = -4 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:44.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE In -y/7, y is multiplied by -1/7. How do you change the -1/7 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:47.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y/7 = -4 strategic 2 ERROR mt -y/7 = -4 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:39:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y/7 = -4 strategic 3 OK multiply 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:00.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y/7*7 = -4*7 strategic 1 ERROR rf -y/7*7 = -4*7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:02.0 HINT HINT ES_02orig ES_02-7 EG41 -y/7*7 = -4*7 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:03.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y/7*7 = -4*7 strategic 3 OK mt -4*7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y/7*7 = -28 strategic 1 OK mt -y/7*7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:20.0 HINT HINT ES_02orig ES_02-7 EG41 -7y/7 = -28 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:21.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:24.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE Put the equation in its simplest form. HINT 1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -7y/7 = -28 strategic 2 OK rf -7y/7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:35.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y = -28 strategic 1 ERROR rds -y = -28 strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y = -28 strategic 2 ERROR rf -y = -28 strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:42.0 HINT HINT ES_02orig ES_02-7 EG41 -y = -28 strategic 3 INITIAL_HINT condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:43.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE -y is -1 times y. How do you undo multiplication? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:46.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 10 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y = -28 strategic 4 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:58.0 HINT HINT ES_02orig ES_02-7 EG41 -y/-1 = -28/-1 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:40:59.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 11 HINT_LEVEL_CHANGE Move the negative signs out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:02.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 12 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -y/-1 = -28/-1 strategic 2 OK rf -y/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:12.0 HINT HINT ES_02orig ES_02-7 EG41 y = -28/-1 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:13.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 13 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:16.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 14 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = -28/-1 strategic 2 OK rf -28/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:31.0 HINT HINT ES_02orig ES_02-7 EG41 7+(x/-6) = 2 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:32.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7+(x/-6) = 2 strategic 2 BUG mt 7+(x/-6) = 2 strategic Simplify the fraction x/-6. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7+(x/-6) = 2 strategic 3 OK rf x/-6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:48.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7+(-x/6) = 2 strategic 1 OK rds 7+(-x/6) = 2 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:41:55.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7-x/6 = 2 strategic 1 ERROR mt 7-x/6 = 2 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7-x/6 = 2 strategic 2 ERROR multiply 7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:07.0 HINT HINT ES_02orig ES_02-7 EG41 7-x/6 = 2 strategic 3 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:08.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:12.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:19.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7-x/6 = 2 strategic 4 OK subtract 7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7-x/6-7 = 2-7 strategic 1 ERROR rf 7-x/6-7 = 2-7 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:28.0 HINT HINT ES_02orig ES_02-7 EG41 7-x/6-7 = 2-7 strategic 2 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:29.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7-x/6-7 = 2-7 strategic 3 ERROR mt 7-x/6-7 = 2-7 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7-x/6-7 = 2-7 strategic 4 OK clt 2-7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:41.0 HINT HINT ES_02orig ES_02-7 EG41 7-x/6-7 = -5 strategic 1 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:42.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:44.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7-x/6-7 = -5 strategic 2 OK clt 7-x/6-7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:50.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6 = -5 strategic 1 BUG multiply -5 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6 = -5 strategic 2 ERROR add 5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:42:59.0 HINT HINT ES_02orig ES_02-7 EG41 -x/6 = -5 strategic 3 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:00.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE In -x/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:04.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:08.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6 = -5 strategic 4 ERROR mt -x/6 = -5 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:14.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6 = -5 strategic 5 OK multiply -6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6*(-6/1) = -5*(-6/1) strategic 1 OK rf -6/1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:22.0 HINT HINT ES_02orig ES_02-7 EG41 -x/6*(-6) = -5*(-6/1) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:23.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -x/6*(-6) = -5*(-6/1) strategic 2 OK mt -x/6*(-6) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:34.0 HINT HINT ES_02orig ES_02-7 EG41 x = -5*(-6/1) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:34.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = -5*(-6/1) strategic 2 OK mt -5*(-6/1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:43:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = 30/1 strategic 1 OK rf 30/1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6 = x/9+8 strategic 1 ERROR rf -6 = x/9+8 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:03.0 HINT HINT ES_02orig ES_02-7 EG41 -6 = x/9+8 strategic 2 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:04.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:08.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6 = x/9+8 strategic 3 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:21.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6-8 = x/9+8-8 strategic 1 ERROR rf -6-8 = x/9+8-8 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6-8 = x/9+8-8 strategic 2 OK clt x/9+8-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6-8 = x/9 strategic 1 OK clt -6-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -14 = x/9 strategic 1 ERROR subtract 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -14 = x/9 strategic 2 ERROR mt -14 = x/9 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -14 = x/9 strategic 3 OK multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -14*9 = x/9*9 strategic 1 ERROR rf -14*9 = x/9*9 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:44:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -14*9 = x/9*9 strategic 2 ERROR rf -14*9 = x/9*9 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -14*9 = x/9*9 strategic 3 OK mt x/9*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:08.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -14*9 = x strategic 1 OK mt -14*9 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:26.0 HINT HINT ES_02orig ES_02-7 EG41 4 = -5+(x/-5) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:28.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:31.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:34.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4 = -5+(x/-5) strategic 2 OK rf x/-5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4 = -5+(-x/5) strategic 1 ERROR mt 4 = -5+(-x/5) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:41.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4 = -5+(-x/5) strategic 2 OK rds 4 = -5+(-x/5) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4 = -5-x/5 strategic 1 ERROR mt 4 = -5-x/5 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:54.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4 = -5-x/5 strategic 2 ERROR clt 4 = -5-x/5 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:58.0 HINT HINT ES_02orig ES_02-7 EG41 4 = -5-x/5 strategic 3 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:45:58.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:46:02.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE You can add 5 to both sides of the equation to eliminate the constant value of -5 (-5 + 5 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:46:08.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4 = -5-x/5 strategic 4 OK add 5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:46:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4+5 = -5-x/5+5 strategic 1 ERROR mt 4+5 = -5-x/5+5 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:46:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4+5 = -5-x/5+5 strategic 2 ERROR rf 4+5 = -5-x/5+5 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:46:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4+5 = -5-x/5+5 strategic 3 OK clt 4+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:46:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 9 = -5-x/5+5 strategic 1 OK clt -5-x/5+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:46:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 9 = -x/5 strategic 1 OK multiply 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:06.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 9*5 = -x/5*5 strategic 1 OK mt 9*5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 45 = -x/5*5 strategic 1 OK mt -x/5*5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:23.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 45 = -5x/5 strategic 1 BUG add 5 Simplify the fraction -5x/5. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 45 = -5x/5 strategic 2 OK rf -5x/5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 45 = -x strategic 1 ERROR rf 45 = -x strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:42.0 HINT HINT ES_02orig ES_02-7 EG41 45 = -x strategic 2 INITIAL_HINT condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:42.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:46.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 45 = -x strategic 3 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 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:47:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 45 = -x strategic 4 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 45/-1 = -x/-1 strategic 1 OK rf 45/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -45 = -x/-1 strategic 1 OK rf -x/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:34.0 HINT HINT ES_02orig ES_02-7 EG41 -4 = -4+x/9 strategic 1 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:35.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4 = -4+x/9 strategic 2 ERROR rf -4 = -4+x/9 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:52.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4 = -4+x/9 strategic 3 ERROR rds -4 = -4+x/9 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:57.0 HINT HINT ES_02orig ES_02-7 EG41 -4 = -4+x/9 strategic 4 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:48:58.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:03.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4 = -4+x/9 strategic 5 OK add 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4+4 = -4+x/9+4 strategic 1 ERROR rf -4+4 = -4+x/9+4 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:19.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4+4 = -4+x/9+4 strategic 2 ERROR rds -4+4 = -4+x/9+4 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:21.0 HINT HINT ES_02orig ES_02-7 EG41 -4+4 = -4+x/9+4 strategic 3 INITIAL_HINT condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:23.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -4+4 = -4+x/9+4 strategic 4 OK clt -4+4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 0 = -4+x/9+4 strategic 1 OK clt -4+x/9+4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:30.0 HINT HINT ES_02orig ES_02-7 EG41 0 = x/9 strategic 1 INITIAL_HINT condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:31.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE In x/9, x is divided by 9. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:34.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Multiply both sides by 9. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 0 = x/9 strategic 2 OK multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 0*9 = x/9*9 strategic 1 OK mt 0*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:49:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 0 = x/9*9 strategic 1 OK mt x/9*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:08.0 HINT HINT ES_02orig ES_02-7 EG41 -9 = 1+(y/-10) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:09.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:12.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = 1+(y/-10) strategic 2 OK rf y/-10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:27.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = 1+(-y/10) strategic 1 ERROR multiply 10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:40.0 HINT HINT ES_02orig ES_02-7 EG41 -9 = 1+(-y/10) strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:41.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:44.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = 1+(-y/10) strategic 3 OK rds -9 = 1+(-y/10) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:50.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = 1-y/10 strategic 1 ERROR multiply 10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:54.0 HINT HINT ES_02orig ES_02-7 EG41 -9 = 1-y/10 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:55.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:50:59.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9 = 1-y/10 strategic 3 OK subtract 1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:07.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9-1 = 1-y/10-1 strategic 1 ERROR mt -9-1 = 1-y/10-1 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -9-1 = 1-y/10-1 strategic 2 OK clt -9-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -10 = 1-y/10-1 strategic 1 OK clt 1-y/10-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -10 = -y/10 strategic 1 OK multiply -10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -10*(-10/1) = -y/10*(-10/1) strategic 1 OK mt -10*(-10/1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:26.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 100/1 = -y/10*(-10/1) strategic 1 OK mt -y/10*(-10/1) condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 100/1 = y strategic 1 OK rf 100/1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:47.0 HINT HINT ES_02orig ES_02-7 EG41 -3 = y/-5+(-9) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:48.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3 = y/-5+(-9) strategic 2 OK rf y/-5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:51:57.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3 = -y/5+(-9) strategic 1 OK rds -3 = -y/5+(-9) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3 = -y/5-9 strategic 1 OK add 9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -3+9 = -y/5-9+9 strategic 1 OK clt -3+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/5-9+9 strategic 1 OK clt -y/5-9+9 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:20.0 HINT HINT ES_02orig ES_02-7 EG41 6 = -y/5 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:21.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE In -y/5, y is multiplied by -1/5. How do you change the -1/5 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:25.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/5 strategic 2 OK multiply 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6*5 = -y/5*5 strategic 1 OK mt 6*5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 30 = -y/5*5 strategic 1 OK mt -y/5*5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:45.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 30 = -5y/5 strategic 1 OK multiply 5 condition 4 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 30*5 = -5y/5*5 strategic 1 OK mt 30*5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 150 = -5y/5*5 strategic 1 OK mt -5y/5*5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:51.0 HINT HINT ES_02orig ES_02-7 EG41 150 = -25y/5 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:53.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:52:55.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 150 = -25y/5 strategic 2 OK rf -25y/5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:53:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 150 = -5y strategic 1 OK divide -5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:53:08.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 150/-5 = -5y/-5 strategic 1 BUG rds 150/-5 = -5y/-5 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:53:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 150/-5 = -5y/-5 strategic 2 OK rf 150/-5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:53:12.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -30 = -5y/-5 strategic 1 OK rf -5y/-5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/3+4 = -10 strategic 1 ERROR rf x/3+4 = -10 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:07.0 HINT HINT ES_02orig ES_02-7 EG41 x/3+4 = -10 strategic 2 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:09.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:12.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 4 from both sides of the equation to eliminate the constant value of 4 (4 - 4 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/3+4 = -10 strategic 3 OK subtract 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:21.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/3+4-4 = -10-4 strategic 1 OK clt x/3+4-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:22.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/3 = -10-4 strategic 1 OK clt -10-4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/3 = -14 strategic 1 ERROR divide 14 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:35.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/3 = -14 strategic 2 OK multiply 3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/3*3 = -14*3 strategic 1 OK mt x/3*3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:54:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = -14*3 strategic 1 OK mt -14*3 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:55:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6 = y/10+7 strategic 1 ERROR rf -6 = y/10+7 strategic condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:55:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6 = y/10+7 strategic 2 OK subtract 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:55:21.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6-7 = y/10+7-7 strategic 1 OK clt -6-7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:55:21.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -13 = y/10+7-7 strategic 1 OK clt y/10+7-7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:55:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -13 = y/10 strategic 1 OK multiply 10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:55:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -13*10 = y/10*10 strategic 1 OK mt -13*10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:55:35.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -130 = y/10*10 strategic 1 OK mt y/10*10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:56:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/8+(-5) = -1 strategic 1 OK rds x/8+(-5) = -1 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:04.0 HINT HINT ES_02orig ES_02-7 EG41 x/8-5 = -1 strategic 1 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:04.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:34.0 HINT HINT ES_02orig ES_02-7 EG41 x/8-5 = -1 strategic 2 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:34.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:37.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can add 5 to both sides of the equation to eliminate the constant value of -5 (-5 + 5 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:41.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/8-5 = -1 strategic 3 OK add 5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/8-5+5 = -1+5 strategic 1 OK clt x/8-5+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:48.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/8 = -1+5 strategic 1 OK clt -1+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:54.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/8 = 4 strategic 1 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:57:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/8*8 = 4*8 strategic 1 OK mt x/8*8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session0 2007-02-21 17:58:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = 4*8 strategic 1 OK mt 4*8 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:18:25.0 HINT HINT ES_02orig ES_02-7 EG41 -5+y/5 = 0 strategic 1 INITIAL_HINT condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:18:26.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:18:29.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can add 5 to both sides of the equation to eliminate the constant value of -5 (-5 + 5 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:18:37.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -5+y/5 = 0 strategic 2 OK add 5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:18:44.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -5+y/5+5 = 0+5 strategic 1 OK clt -5+y/5+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:18:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/5 = 0+5 strategic 1 OK clt 0+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:18:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/5 = 5 strategic 1 OK multiply 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/5*5 = 5*5 strategic 1 OK mt y/5*5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = 5*5 strategic 1 OK mt 5*5 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:24.0 HINT HINT ES_02orig ES_02-7 EG41 7 = x/-9+(-7) strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:25.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = x/-9+(-7) strategic 2 OK rds 7 = x/-9+(-7) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:33.0 HINT HINT ES_02orig ES_02-7 EG41 7 = x/-9-7 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:34.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:38.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:19:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = x/-9-7 strategic 2 OK rf x/-9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:17.0 HINT HINT ES_02orig ES_02-7 EG41 7 = -x/9-7 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:18.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE -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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:20.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7 = -x/9-7 strategic 2 OK add 7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 7+7 = -x/9-7+7 strategic 1 OK clt 7+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 14 = -x/9-7+7 strategic 1 OK clt -x/9-7+7 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 14 = -x/9 strategic 1 OK multiply 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 14*9 = -x/9*9 strategic 1 OK mt -x/9*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:20:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 14*9 = -9x/9 strategic 1 OK mt 14*9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126 = -9x/9 strategic 1 BUG rds 126 = -9x/9 strategic Simplify the fraction -9x/9. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:04.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126 = -9x/9 strategic 2 OK rf -9x/9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:14.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126 = -9x/9 strategic 3 BUG rds 126 = -9x/9 strategic Simplify the fraction -9x/9. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126 = -9x/9 strategic 4 OK rf -9x/9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126 = -9x/9 strategic 5 OK rf -9x/9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126 = -x strategic 1 ERROR rds 126 = -x strategic condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:31.0 HINT HINT ES_02orig ES_02-7 EG41 126 = -x strategic 2 INITIAL_HINT condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:32.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:36.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126 = -x strategic 3 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:43.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126/-1 = -x/-1 strategic 1 BUG rds 126/-1 = -x/-1 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 126/-1 = -x/-1 strategic 2 OK rf 126/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:21:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -126 = -x/-1 strategic 1 OK rf -x/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:00.0 HINT HINT ES_02orig ES_02-8 EG41 y/-4+8 = -4 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:02.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:05.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-4+8 = -4 strategic 2 OK rf y/-4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 ERROR -4y condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:21.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT -4y In the above expression you have y/-4. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:24.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -4 into y. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:28.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE Type -y/4. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 OK -y/4 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:43.0 HINT HINT ES_02orig ES_02-8 EG41 -y/4+8 = -4 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:44.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE 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 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:47.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:23:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y/4+8 = -4 strategic 2 OK subtract 8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y/4+8-8 = -4-8 left 1 OK left -y/4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y/4 = -4-8 right 1 OK right -12 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y/4 = -12 strategic 1 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y/4*4 = -12*4 left 1 OK left -y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:33.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y = -12*4 right 1 OK right -48 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y = -48 strategic 1 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -y/-1 = -48/-1 left 1 OK left y condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = -48/-1 right 1 BUG right -48 You are dividing a negative by a negative. The result should be positive. BUG condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:54.0 HINT HINT ES_02orig ES_02-8 EG41 y = -48/-1 strategic 1 INITIAL_HINT condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:24:55.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 7 HINT_LEVEL_CHANGE Type in -48/-1 on the right. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:10.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = -48/-1 right 2 OK right 48 condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:31.0 HINT HINT ES_02orig ES_02-8 EG41 x/-6+(-3) = -3 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:31.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-6+(-3) = -3 strategic 2 OK rds x/-6+(-3) = -3 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-6-3 = -3 strategic 1 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:49.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-6-3+3 = -3+3 left 1 OK left x/-6 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-6 = -3+3 right 1 OK right 0 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:25:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-6 = 0 strategic 1 BUG multiply 6 Multiplying by 6 will leave -x. It is better to multiply by -6, because that will leave x. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:03.0 HINT HINT ES_02orig ES_02-8 EG41 x/-6 = 0 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:04.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:07.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:10.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/-6 = 0 strategic 3 OK rf x/-6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:18.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 ERROR -6/x condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:25.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT -6/x In the above expression you have x/-6. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:27.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 4 HINT_LEVEL_CHANGE To simplify, divide -6 into x. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:31.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 5 HINT_LEVEL_CHANGE Type -x/6. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:37.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 OK -x/6 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:39.0 HINT HINT ES_02orig ES_02-8 EG41 -x/6 = 0 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:40.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 6 HINT_LEVEL_CHANGE In -x/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/6 = 0 strategic 2 OK multiply 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/6*6 = 0*6 left 1 OK left -x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:26:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = 0*6 right 1 OK right 0 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:27:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = 0 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 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:27:12.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = 0 strategic 2 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:27:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/-1 = 0/-1 left 1 OK left x condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:27:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = 0/-1 right 1 OK right 0 condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:27:48.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/3+7 = 9 strategic 1 OK subtract 7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:27:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/3+7-7 = 9-7 left 1 OK left x/3 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:27:59.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/3 = 9-7 right 1 OK right 2 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:04.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/3 = 2 strategic 1 OK multiply 3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:06.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/3*3 = 2*3 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = 2*3 right 1 OK right 6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:23.0 HINT HINT ES_02orig ES_02-9 EG44 8/x = 9 strategic 1 INITIAL_HINT condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:24.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 8/x is 8 divided by x. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:28.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:32.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/x = 9 strategic 2 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:37.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/x*x = 9x strategic 1 OK mt 8/x*x condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:41.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8 = 9x strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:28:44.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8/9 = 9x/9 strategic 1 OK rf 9x/9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:05.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -4 = 8/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:09.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -4x = 8/x*x strategic 1 OK mt 8/x*x condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:14.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -4x = 8 strategic 1 OK divide -4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:20.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -4x/-4 = 8/-4 strategic 1 OK rf 8/-4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:24.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -4x/-4 = -2 strategic 1 OK rf -4x/-4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:51.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6/y = -2 strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:55.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6/y*y = -2y strategic 1 OK mt -6/y*y condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:29:59.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6 = -2y strategic 1 OK divide -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:04.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6/-2 = -2y/-2 strategic 1 OK rf -6/-2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:04.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3 = -2y/-2 strategic 1 OK rf -2y/-2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:18.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 10 = 7/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:22.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 10x = 7/x*x left 1 OK left 10x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:24.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 10x = 7/x*x right 1 OK right 7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:29.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 10x = 7 strategic 1 OK divide 10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:32.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 10x/10 = 7/10 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:36.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 x = 7/10 right 1 OK right 7/10 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:56.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/x = -7 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:30:59.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/x*x = -7x left 1 OK left 9 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:31:02.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9 = -7x right 1 OK right -7x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:31:06.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9 = -7x strategic 1 OK divide -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:31:12.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/-7 = -7x/-7 left 1 OK left 9/-7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:31:14.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/-7 = -7x/-7 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:31:17.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 9/-7 = x strategic 1 OK rf 9/-7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:31:44.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 1 ERROR -1.28 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
Gb6X0 session1 2007-02-22 15:31:49.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 2 OK -1.285 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
HZBYx session1 2007-02-27 15:23:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -7y+(-3) strategic 1 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:24:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -7y+(-3) strategic 2 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:24:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -7y+(-3) strategic 3 ERROR clt -8 = -7y+(-3) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:25:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -7y+(-3) strategic 4 ERROR mt -8 = -7y+(-3) strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:25:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -7y+(-3) strategic 5 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:27:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+3 = -7y+(-3)+3 strategic 1 OK clt -8+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:27:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -7y+(-3)+3 strategic 1 OK clt -7y+(-3)+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:28:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -7y strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:28:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -7y+(-3) strategic 6 OK add 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:28:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+3 = -7y+(-3)+3 strategic 2 OK clt -8+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:28:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -7y+(-3)+3 strategic 2 OK clt -7y+(-3)+3 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:29:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -7y strategic 2 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:29:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/-7 = -7y/-7 strategic 1 OK rf -5/-7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:29:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/7 = -7y/-7 strategic 1 OK rf -7y/-7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:31:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -5+(-7x) strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:31:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10+5 = -5+(-7x)+5 left 1 OK left -5 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:31:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -5+(-7x)+5 right 1 OK right -7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:31:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -7x strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:31:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-7 = -7x/-7 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:32:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-7 = x left 1 OK left 0.7142857 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:38:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+y/4 = 8 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:38:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+y/4-5 = 8-5 strategic 1 ERROR rds 5+y/4-5 = 8-5 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:38:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+y/4-5 = 8-5 strategic 2 OK clt 5+y/4-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:38:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4 = 8-5 strategic 1 OK clt 8-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:39:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4 = 3 strategic 1 OK multiply 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:39:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4*4 = 3*4 strategic 1 OK mt y/4*4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:39:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 3*4 strategic 1 OK mt 3*4 condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:39:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9+9 = -9 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:39:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9+9-9 = -9-9 strategic 1 OK clt y/-9+9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:39:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = -9-9 strategic 1 OK clt -9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:40:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = -18 strategic 1 OK multiply -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:40:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9*(-9) = -18*(-9) strategic 1 OK mt y/-9*(-9) condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:40:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -18*(-9) strategic 1 OK mt -18*(-9) condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:42:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = -10+(y/-4) strategic 1 OK add 10 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:42:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+10 = -10+(y/-4)+10 left 1 OK left 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:43:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = -10+(y/-4)+10 right 1 OK right y/-4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:43:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = y/-4 strategic 1 OK multiply -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:43:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*(-4) = y/-4*(-4) left 1 OK left -8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:43:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = y/-4*(-4) right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:43:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = x/9+(-4) strategic 1 OK add 4 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:44:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+4 = x/9+(-4)+4 right 1 OK right x/9 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:44:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+4 = x/9 left 1 OK left 2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:44:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = x/9 strategic 1 OK multiply 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:44:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*9 = x/9*9 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:44:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*9 = x left 1 OK left 18 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session1 2007-02-27 15:45:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = 9 strategic 1 BUG multiply 7 To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:16:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = 9 strategic 1 ERROR mt 7/y = 9 strategic condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:17:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = 9 strategic 2 BUG multiply 9/1 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:17:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = 9 strategic 3 ERROR multiply y/7 condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:18:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = 9 strategic 4 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:18:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y*y = 9y strategic 1 OK mt 7/y*y condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:18:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = 9y strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:19:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/9 = 9y/9 strategic 1 OK rf 9y/9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:19:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 6/x strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:19:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x = 6/x*x strategic 1 OK mt 6/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:19:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x = 6 strategic 1 ERROR rf -3x = 6 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:19:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x = 6 strategic 2 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:19:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3x/-3 = 6/-3 strategic 1 OK rf -3x/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:19:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 6/-3 strategic 1 OK rf 6/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:20:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/y = -1 strategic 1 OK multiply -y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:20:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/y*(y/-1) = -1*(y/-1) strategic 1 OK mt -6/y*(y/-1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:20:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/-1 = -1*(y/-1) strategic 1 OK mt -1*(y/-1) condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:20:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/-1 = y strategic 1 OK rf -6/-1 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:22:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x = -7 strategic 1 ERROR multiply -X condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:22:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x = -7 strategic 2 BUG multiply -3 To remove -3/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -3/x. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:22:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x = -7 strategic 3 ERROR multiply -X condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:23:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x = -7 strategic 4 OK multiply X condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:23:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = -7x left 1 OK left -3 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:23:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = -7x right 1 OK right -7X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:23:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = -7x strategic 1 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:23:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/-7 = -7x/-7 right 1 OK right X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:23:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/-7 = X left 1 OK left -3/-7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:24:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/-7 = X strategic 1 OK rf -3/-7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:24:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG - 3/7 - 3/7
Check the sign of your answer. BUG condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:24:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 3/7 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:24:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5 = 7/x strategic 1 OK multiply X condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:25:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5x = 7/x*x left 1 OK left -5X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:25:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5x = 7/x*x right 1 OK right 7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:25:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5x = 7 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:25:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5x/-5 = 7/-5 left 1 OK left X condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
HZBYx session2 2007-02-28 15:25:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 X = 7/-5 right 1 OK right -7/5 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
NL002 session0 2007-03-16 16:50:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5 = -2x+2 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:51:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -5-2 = -2x+2-2 strategic 1 OK clt -5-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:51:17.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7 = -2x+2-2 strategic 1 OK clt -2x+2-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:51:29.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7 = -2x strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:51:37.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/-2 = -2x/-2 strategic 1 BUG distribute -7/-2 = -2x/-2 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:51:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -7/-2 = -2x/-2 strategic 2 OK rf -7/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:51:57.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7/2 = -2x/-2 strategic 1 OK rf -2x/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:55:36.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7y+10 = -7 strategic 1 OK subtract 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:56:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7y+10-10 = -7-10 right 1 OK right -17 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:56:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7y+10-10 = -17 left 1 OK left -7y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:56:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7y = -17 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:56:56.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -7y/-7 = -17/-7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:57:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -17/-7 right 1 BUG right -17/7 You are dividing a negative by a negative. The result should be positive. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session0 2007-03-16 16:57:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -17/-7 right 2 OK right 17/7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:19:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9+x/8 = -5 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:20:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 (-9+x/8)*8 = -5*8 strategic 1 OK mt -5*8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:20:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 (-9+x/8)*8 = -40 strategic 1 OK distribute (-9+x/8)*8 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:20:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9*8+x/8*8 = -40 strategic 1 OK mt x/8*8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:20:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9*8+x = -40 strategic 1 OK mt -9*8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:20:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -72+x = -40 strategic 1 ERROR clt -72+x = -40 strategic condition 2 [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}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:20:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -72+x = -40 strategic 2 OK add 72 condition 2 [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}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:21:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -72+x+72 = -40+72 strategic 1 ERROR mt -72+x+72 = -40+72 strategic condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:21:10.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -72+x+72 = -40+72 strategic 2 OK clt -72+x+72 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:21:11.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -40+72 strategic 1 OK clt -40+72 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:21:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/4+(-7) = -7 strategic 1 BUG multiply -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:21:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/4+(-7) = -7 strategic 2 OK multiply 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 (x/4+(-7))*4 = -7*4 strategic 1 OK mt -7*4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 (x/4+(-7))*4 = -28 strategic 1 OK distribute (x/4+(-7))*4 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/4*4+(-7*4) = -28 strategic 1 OK mt x/4*4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x+(-7*4) = -28 strategic 1 ERROR distribute x+(-7*4) = -28 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x+(-7*4) = -28 strategic 2 OK mt -7*4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x+(-28) = -28 strategic 1 OK add 28 condition 2 [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}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x+(-28)+28 = -28+28 strategic 1 OK clt x+(-28)+28 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:22:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -28+28 strategic 1 OK clt -28+28 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:23:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10+(x/-9) = 9 strategic 1 BUG multiply 10 Simplify the fraction x/-9. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:23:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10+(x/-9) = 9 strategic 2 BUG multiply 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:23:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10+(x/-9) = 9 strategic 3 OK multiply -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:23:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 (10+(x/-9))*(-9) = 9*(-9) strategic 1 OK distribute (10+(x/-9))*(-9) condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:23:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10*9-(x/-9*9) = 9*(-9) strategic 1 OK mt 9*(-9) condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:23:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10*9-(x/-9*9) = -81 strategic 1 ERROR distribute -10*9-(x/-9*9) = -81 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10*9-(x/-9*9) = -81 strategic 2 OK mt x/-9*9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10*9-(9x/-9) = -81 strategic 1 OK mt -10*9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -90-(9x/-9) = -81 strategic 1 BUG mt -90-(9x/-9) = -81 strategic Simplify the fraction 9x/-9. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -90-(9x/-9) = -81 strategic 2 BUG divide -9 Simplify the fraction 9x/-9. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -90-(9x/-9) = -81 strategic 3 OK add 90 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:46.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -90-(9x/-9)+90 = -81+90 strategic 1 BUG distribute -90-(9x/-9)+90 = -81+90 strategic Simplify the fraction 9x/-9. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:58.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -90-(9x/-9)+90 = -81+90 strategic 2 OK clt -90-(9x/-9)+90 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:24:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9x/9 = -81+90 strategic 1 OK clt -81+90 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:25:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9x/9 = 9 strategic 1 OK rf 9x/9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:25:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2+x/3 = -7 strategic 1 BUG multiply -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:26:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2+x/3 = -7 strategic 2 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:26:14.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2+x/3-2 = -7-2 strategic 1 OK clt 2+x/3-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:26:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/3 = -7-2 strategic 1 OK clt -7-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:26:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/3 = -9 strategic 1 ERROR rf x/3 = -9 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:26:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/3 = -9 strategic 2 ERROR rds x/3 = -9 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/3 = -9 strategic 3 ERROR mt x/3 = -9 strategic condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:11.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/3 = -9 strategic 4 OK multiply 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:18.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/3*3 = -9*3 strategic 1 OK mt x/3*3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:18.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -9*3 strategic 1 OK mt -9*3 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10+6 = 2 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10+6-6 = 2-6 strategic 1 OK clt x/10+6-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10 = 2-6 strategic 1 OK clt 2-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:27:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10 = -4 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:28:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/10*10 = -4*10 strategic 1 OK mt x/10*10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:28:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -4*10 strategic 1 OK mt -4*10 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:28:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/2+(-7) = 7 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:28:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/2+(-7)+7 = 7+7 strategic 1 OK clt y/2+(-7)+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:28:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/2 = 7+7 strategic 1 OK clt 7+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:28:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/2 = 14 strategic 1 OK multiply 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:29:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/2*2 = 14*2 strategic 1 OK mt y/2*2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:29:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 14*2 strategic 1 OK mt 14*2 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:30:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+x/6 = -7 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:30:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+x/6+7 = -7+7 right 1 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:31:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+x/6+7 = 0 left 1 OK left -7+x/6+7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:31:48.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+x/6+7 = 0 strategic 1 OK clt -7+x/6+7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:32:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:32:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:32:32.0 CYCLE CYCLE ES_02b ES_02-8 EG41 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:32:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x1R1 strategic 4 OK +x/6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:32:48.0 CYCLE CYCLE ES_02b ES_02-8 EG41 constant terms1R1 strategic 1 BUG 7 Be sure to select both the term and the negative sign in front of it. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:32:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 constant terms1R1 strategic 2 OK -7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:33:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 constant terms2R1 strategic 1 OK +7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:33:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 constant termsR2 strategic 1 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:33:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 xR2 strategic 1 OK x/6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:33:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK x/6 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:33:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/6 = 0 strategic 1 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:33:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/6*6 = 0*6 right 1 OK right 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:33:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/6*6 = 0 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:34:16.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3+7 = -1 strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:34:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3+7-7 = -1-7 right 1 OK right -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:34:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3+7-7 = -8 left 1 OK left y/3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:34:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3 = -8 strategic 1 OK multiply 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:34:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3*3 = -8*3 right 1 OK right -24 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:34:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3*3 = -24 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:36:55.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -9/x strategic 1 ERROR multiply -1 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:37:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -9/x strategic 2 ERROR multiply 1 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:37:05.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4*1 = -9/x*1 strategic 1 OK unnec-elems 4*1=-9/x*1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:03.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -9/x strategic 3 ERROR rf 4 = -9/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:10.0 HINT HINT ES_02b ES_02-9 EG44 4 = -9/x strategic 4 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:11.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -9/x is -9 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -9/x strategic 5 BUG multiply 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:27.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -9/x strategic 6 ERROR multiply 9 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:35.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -9/x strategic 7 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:44.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x = -9/x*x strategic 1 OK mt -9/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x = -9 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:38:55.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x/4 = -9/4 strategic 1 OK rf 4x/4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:39:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = -5/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:39:15.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2x = -5/x*x strategic 1 OK mt -5/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:39:21.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2x = -5 strategic 1 OK divide -2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:39:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2x/-2 = -5/-2 strategic 1 OK rf -2x/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:39:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 x = -5/-2 strategic 1 OK rf -5/-2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:39:57.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -10/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:40:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x = -10/x*x strategic 1 OK mt -10/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:40:05.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x = -10 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:40:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x/-9 = -10/-9 strategic 1 OK rf -9x/-9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:40:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 x = -10/-9 strategic 1 OK rf -10/-9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:41:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3 = 6/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:41:50.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6/x*x left 1 OK left 3x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:41:57.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6/x*x right 1 OK right 6x/x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:42:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6x/x strategic 1 OK rf 6x/x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:42:18.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6x/x strategic 2 BUG multiply 3x Simplify the fraction 6x/x. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:42:30.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6x/x strategic 3 OK rf 6x/x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:42:38.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-constant factors strategic 1 OK 6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:42:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-x strategic 1 OK x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:42:49.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR 1/[x] condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-x strategic 1 OK 1/[x] condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:16.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 1 ERROR 6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:20.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:22.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2x strategic 1 OK x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:27.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 1 OK 6 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:29.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-x strategic 1 ERROR x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:34.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-x strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:39.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:41.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-x strategic 1 ERROR 6x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:46.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-x strategic 2 ERROR x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:43:49.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-x strategic 3 OK 1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:05.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 6x/x. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:13.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide x into 6x. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:20.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 2 ERROR 6x condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:24.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Type 6. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 3 OK 6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:41.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x = 6 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:45.0 CYCLE CYCLE ES_02b ES_02-10 EG44 3x/3 = 6/3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:44:47.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 6/3 right 1 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:45:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/x = 7 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:45:33.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/x*x = 7x right 1 OK right 7x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:45:55.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/x*x = 7x left 1 OK left -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:46:04.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = 7x strategic 1 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:46:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/7 = 7x/7 right 1 BUG right 7x You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:46:23.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/7 = 7x/7 left 1 OK left -2/7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
NL002 session1 2007-03-20 16:46:29.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2/7 = 7x/7 right 2 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
Sq55b session0 2007-03-26 10:15:34.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x+6 = 0 strategic 1 OK subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Sq55b session0 2007-03-26 10:15:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x+6-6 = 0-6 strategic 1 OK clt 5x+6-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Sq55b session0 2007-03-26 10:15:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x = 0-6 strategic 1 OK clt 0-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Sq55b session0 2007-03-26 10:15:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x = -6 strategic 1 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Sq55b session0 2007-03-26 10:16:29.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x/5 = -6/5 strategic 1 BUG rds 5x/5 = -6/5 strategic Simplify the fraction 5x/5. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Sq55b session0 2007-03-26 10:16:41.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x = -6 strategic 2 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Sq55b session0 2007-03-26 10:16:45.0 CYCLE CYCLE ES_02c ES_02-5 EG40 5x/5 = -6/5 strategic 2 OK rf 5x/5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
TPZxr session1 2007-03-27 10:26:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y+9 = -3 strategic 1 OK subtract 9 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
TPZxr session1 2007-03-27 10:26:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y+9-9 = -3-9 strategic 1 OK clt -2y+9-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02
TPZxr session1 2007-03-27 10:26:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y = -3-9 strategic 1 OK clt -3-9 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02
TPZxr session1 2007-03-27 10:26:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y = -12 strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
TPZxr session1 2007-03-27 10:26:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y/-2 = -12/-2 strategic 1 BUG divide y Simplify the fraction -2y/-2. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
TPZxr session1 2007-03-27 10:27:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y/-2 = -12/-2 strategic 2 OK rf -2y/-2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
TPZxr session1 2007-03-27 10:27:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -12/-2 strategic 1 OK rf -12/-2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
Wxgu6 session0 2007-03-20 10:02:47.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 6+(-5x) strategic 1 ERROR clt 3 = 6+(-5x) strategic condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:02:58.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 6+(-5x) strategic 2 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 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:03:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 6+(-5x) strategic 3 OK subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:03:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3-6 = 6+(-5x)-6 strategic 1 OK clt 3-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:03:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = 6+(-5x)-6 strategic 1 OK clt 6+(-5x)-6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:03:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -5x strategic 1 BUG divide -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:03:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3 = -5x strategic 2 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:03:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -3/-5 = -5x/-5 strategic 1 OK rf -3/-5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:03:53.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3/5 = -5x/-5 strategic 1 OK rf -5x/-5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:04:34.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = -2+(-5x) strategic 1 ERROR clt -9 = -2+(-5x) strategic condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:04:45.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9 = -2+(-5x) strategic 2 OK add 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:04:51.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -9+2 = -2+(-5x)+2 strategic 1 OK clt -9+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:04:51.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7 = -2+(-5x)+2 strategic 1 OK clt -2+(-5x)+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:04:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7 = -5x strategic 1 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:05:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7/-5 = -5x/-5 strategic 1 OK rf -7/-5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:05:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7/5 = -5x/-5 strategic 1 OK rf -5x/-5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:05:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6 = 1+8x strategic 1 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:05:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6-1 = 1+8x-1 strategic 1 OK clt -6-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:05:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7 = 1+8x-1 strategic 1 OK clt 1+8x-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:05:25.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7 = 8x strategic 1 OK divide 8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session0 2007-03-20 10:05:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -7/8 = 8x/8 strategic 1 OK rf 8x/8 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:49:19.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10 = -8y+10 strategic 1 OK subtract 10 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:49:32.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10-10 = -8y+10-10 left 1 OK left -20 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:49:40.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -20 = -8y+10-10 right 1 OK right -8y+0 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:49:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -20 = -8y+0 strategic 1 OK unnec-elems -20=-8y+0 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:49:58.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -20 = -8y strategic 1 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:15.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -20/-8 = -8y/-8 left 1 OK left -20/-8 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:19.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -20/-8 = -8y/-8 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -20/-8 = y strategic 1 OK rf -20/-8 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:36.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2constant factors strategic 1 ERROR -2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:41.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2constant factors strategic 2 OK -4 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -20 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row3-N-constant factors strategic 2 BUG -5 -5
Check the sign of your answer. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:50:57.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row3-N-constant factors strategic 3 OK 5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:51:00.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row3-D-constant factors strategic 1 OK 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:51:04.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 OK 5/2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:58:03.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4+(y/-9) = 4 strategic 1 BUG multiply 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:58:13.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4+(y/-9) = 4 strategic 2 OK multiply -9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:58:18.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(y/-9))*(-9) = 4*(-9) strategic 1 BUG clt (-4+(y/-9))*(-9) = 4*(-9) strategic Simplify the fraction y/-9. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:58:24.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(y/-9))*(-9) = 4*(-9) strategic 2 OK rf y/-9 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:58:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(y/-9))*(-9) = 4*(-9) strategic 3 BUG rds (-4+(y/-9))*(-9) = 4*(-9) strategic Simplify the fraction y/-9. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:58:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(y/-9))*(-9) = 4*(-9) strategic 4 OK mt 4*(-9) condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:59:01.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(y/-9))*(-9) = -36 strategic 1 BUG mt (-4+(y/-9))*(-9) = -36 strategic Simplify the fraction y/-9. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:59:09.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(y/-9))*(-9) = -36 strategic 2 OK distribute (-4+(y/-9))*(-9) condition 3 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:59:20.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4*9-(y/-9*9) = -36 strategic 1 OK mt 4*9 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:59:23.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(y/-9*9) = -36 strategic 1 OK mt y/-9*9 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:59:36.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(9y/-9) = -36 strategic 1 BUG divide 9 Simplify the fraction 9y/-9. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 11:59:45.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(9y/-9) = -36 strategic 2 BUG clt 36-(9y/-9) = -36 strategic Simplify the fraction 9y/-9. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:01:05.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(9y/-9) = -36 strategic 3 OK rf 9y/-9 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:01:11.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(-y) = -36 strategic 1 ERROR clt 36-(-y) = -36 strategic condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:01:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(-y) = -36 strategic 2 BUG add 36 Since 36 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 36 from both sides. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:01:41.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(-y) = -36 strategic 3 BUG subtract -36 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:01:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(-y) = -36 strategic 4 OK add -36 condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:01:58.0 CYCLE CYCLE ES_02c ES_02-7 EG41 36-(-y)+(-36) = -36+(-36) strategic 1 OK clt 36-(-y)+(-36) condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:01:59.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = -36+(-36) strategic 1 OK clt -36+(-36) condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:02:40.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4+(x/-3) = 3 strategic 1 OK multiply -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:02:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(x/-3))*(-3) = 3*(-3) strategic 1 OK mt 3*(-3) condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:02:50.0 CYCLE CYCLE ES_02c ES_02-7 EG41 (-4+(x/-3))*(-3) = -9 strategic 1 OK distribute (-4+(x/-3))*(-3) condition 3 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:02:59.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4*3-(x/-3*3) = -9 strategic 1 OK mt x/-3*3 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:02.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4*3-(3x/-3) = -9 strategic 1 OK mt 4*3 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:13.0 CYCLE CYCLE ES_02c ES_02-7 EG41 12-(3x/-3) = -9 strategic 1 BUG divide -3 Simplify the fraction 3x/-3. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:23.0 CYCLE CYCLE ES_02c ES_02-7 EG41 12-(3x/-3) = -9 strategic 2 OK rf 3x/-3 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 12-(-x) = -9 strategic 1 BUG add -9 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:45.0 CYCLE CYCLE ES_02c ES_02-7 EG41 12-(-x) = -9 strategic 2 BUG add 12 Since 12 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 12 from both sides. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:51.0 CYCLE CYCLE ES_02c ES_02-7 EG41 12-(-x) = -9 strategic 3 OK add -12 condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:58.0 CYCLE CYCLE ES_02c ES_02-7 EG41 12-(-x)+(-12) = -9+(-12) strategic 1 OK clt 12-(-x)+(-12) condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:03:58.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x = -9+(-12) strategic 1 OK clt -9+(-12) condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:09:07.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9 = 5+(y/-6) strategic 1 OK multiply -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:09:22.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9*(-6) = (5+(y/-6))*(-6) left 1 OK left 54 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:09:53.0 CYCLE CYCLE ES_02c ES_02-8 EG41 54 = (5+(y/-6))*(-6) right 1 ERROR right 5+(y/36) condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:13:30.0 CYCLE CYCLE ES_02c ES_02-8 EG41 54 = (5+(y/-6))*(-6) right 2 ERROR right 5y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:13:42.0 CYCLE CYCLE ES_02c ES_02-8 EG41 54 = (5+(y/-6))*(-6) right 3 ERROR right -30y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:13:51.0 CYCLE CYCLE ES_02c ES_02-8 EG41 54 = (5+(y/-6))*(-6) right 4 OK right -30+y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:14:04.0 CYCLE CYCLE ES_02c ES_02-8 EG41 54 = -30+y strategic 1 OK add 30 condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:14:17.0 CYCLE CYCLE ES_02c ES_02-8 EG41 54+30 = -30+y+30 left 1 OK left 84 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:14:25.0 CYCLE CYCLE ES_02c ES_02-8 EG41 84 = -30+y+30 right 1 ERROR right 60+y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:14:32.0 CYCLE CYCLE ES_02c ES_02-8 EG41 84 = -30+y+30 right 2 OK right y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:14:52.0 CYCLE CYCLE ES_02c ES_02-8 EG41 7+y/9 = 6 strategic 1 OK multiply 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:15:00.0 CYCLE CYCLE ES_02c ES_02-8 EG41 (7+y/9)*9 = 6*9 right 1 OK right 54 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:15:12.0 CYCLE CYCLE ES_02c ES_02-8 EG41 (7+y/9)*9 = 54 left 1 OK left 63+y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:15:27.0 CYCLE CYCLE ES_02c ES_02-8 EG41 63+y = 54 strategic 1 BUG subtract 54 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:15:36.0 CYCLE CYCLE ES_02c ES_02-8 EG41 63+y = 54 strategic 2 BUG add 63 Since 63 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 63 from both sides. BUG condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:15:44.0 CYCLE CYCLE ES_02c ES_02-8 EG41 63+y = 54 strategic 3 BUG subtract -63 To remove 63 from the left side, you can subtract a positive from it. Erase your last step and subtract 63 from both sides. BUG condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:15:56.0 CYCLE CYCLE ES_02c ES_02-8 EG41 63+y = 54 strategic 4 BUG subtract -63 To remove 63 from the left side, you can subtract a positive from it. Erase your last step and subtract 63 from both sides. BUG condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:16:09.0 CYCLE CYCLE ES_02c ES_02-8 EG41 63+y = 54 strategic 5 OK subtract 63 condition 3 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:16:19.0 CYCLE CYCLE ES_02c ES_02-8 EG41 63+y-63 = 54-63 left 1 OK left y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:16:31.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y = 54-63 right 1 OK right -9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:19:38.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2 = -3/x strategic 1 ERROR mt 2 = -3/x strategic condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:19:44.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2 = -3/x strategic 2 ERROR multiply 3 condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:19:57.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2 = -3/x strategic 3 BUG multiply 2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:21:20.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2 = -3/x strategic 4 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:21:26.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2x = -3/x*x strategic 1 OK mt -3/x*x condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:21:32.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2x = -3 strategic 1 OK divide 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:21:35.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2x/2 = -3/2 strategic 1 OK rf 2x/2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:02.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -2/y = -2 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:05.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -2/y*y = -2y strategic 1 OK mt -2/y*y condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:09.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -2 = -2y strategic 1 OK divide -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:18.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -2/-2 = -2y/-2 strategic 1 OK rf -2/-2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:18.0 CYCLE CYCLE ES_02c ES_02-9 EG44 1 = -2y/-2 strategic 1 OK rf -2y/-2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:36.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7 = 6/y strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:38.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7y = 6/y*y strategic 1 OK mt 6/y*y condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:44.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7y = 6 strategic 1 OK divide -7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:52.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7y/-7 = 6/-7 strategic 1 OK rf -7y/-7 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:22:52.0 CYCLE CYCLE ES_02c ES_02-9 EG44 y = 6/-7 strategic 1 OK rf 6/-7 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:24:12.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -5/x = -2 strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:24:21.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -5/x*x = -2x left 1 OK left -5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:24:25.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -5 = -2x right 1 OK right -2x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:24:32.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -5 = -2x strategic 1 OK divide -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:24:41.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -5/-2 = -2x/-2 left 1 OK left -5/-2 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:24:44.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -5/-2 = -2x/-2 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:24:51.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -5/-2 = x strategic 1 OK rf -5/-2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:25:01.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 1 OK 5/2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:25:34.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9 = -2/y strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:25:41.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9y = -2/y*y right 1 OK right -2 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:25:46.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9y = -2 left 1 OK left -9y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:25:51.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9y = -2 strategic 1 OK divide -9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:25:54.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -9y/-9 = -2/-9 left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
Wxgu6 session2 2007-03-22 12:25:58.0 CYCLE CYCLE ES_02c ES_02-10 EG44 y = -2/-9 right 1 OK right 2/9 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02c
XqcnV session0 2007-02-20 15:37:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y+(-1) = -3 strategic 1 ERROR clt -5y+(-1) = -3 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:37:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y+(-1) = -3 strategic 2 OK subtract -1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:38:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y+(-1)-(-1) = -3-(-1) strategic 1 OK clt -5y+(-1)-(-1) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:38:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = -3-(-1) strategic 1 OK clt -3-(-1) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:38:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = -2 strategic 1 OK divide -5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:38:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y/-5 = -2/-5 strategic 1 BUG distribute -5y/-5 = -2/-5 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:38:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y/-5 = -2/-5 strategic 2 BUG rds -5y/-5 = -2/-5 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:38:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y/-5 = -2/-5 strategic 3 OK rf -5y/-5 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session0 2007-02-20 15:38:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -2/-5 strategic 1 OK rf -2/-5 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:33:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+(-2) = 6 strategic 1 OK subtract -2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:33:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+(-2)-(-2) = 6-(-2) left 1 OK left -7x condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:33:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 6-(-2) right 1 BUG right -8 You need to calculate 6 minus -2, not -2 minus 6. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:33:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 6-(-2) right 2 BUG right 4 4 is equal to 6 plus -2. You need to calculate 6 minus -2. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:33:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 6-(-2) right 3 BUG right -4 -4 is equal to -6 minus -2. You need to calculate 6 minus -2. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:33:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 6-(-2) right 4 OK right 8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:34:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 8 strategic 1 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:34:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 8 strategic 2 OK divide -7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:34:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 8/-7 left 1 OK left x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:34:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 8/-7 right 1 OK right 8/-7 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:34:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 8/-7 strategic 1 OK rf 8/-7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:34:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -1.1428 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:36:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = 1+y/7 strategic 1 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:37:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = 1+y/7 strategic 2 OK subtract 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:37:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-1 = 1+y/7-1 strategic 1 ERROR distribute 9-1 = 1+y/7-1 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:37:57.0 HINT HINT ES_02 ES_02-7 EG41 9-1 = 1+y/7-1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-1 = 1+y/7-1 strategic 3 ERROR rds 9-1 = 1+y/7-1 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:11.0 HINT HINT ES_02 ES_02-7 EG41 9-1 = 1+y/7-1 strategic 4 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:13.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-1 = 1+y/7-1 strategic 5 OK clt 9-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = 1+y/7-1 strategic 1 OK clt 1+y/7-1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/7 strategic 1 ERROR mt 8 = y/7 strategic condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/7 strategic 2 OK multiply 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*7 = y/7*7 strategic 1 ERROR clt 8*7 = y/7*7 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:38:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*7 = y/7*7 strategic 2 ERROR rf 8*7 = y/7*7 strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:03.0 HINT HINT ES_02 ES_02-7 EG41 8*7 = y/7*7 strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:03.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*7 = y/7*7 strategic 4 OK mt 8*7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 56 = y/7*7 strategic 1 OK mt y/7*7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-4+(-8) = 0 strategic 1 OK subtract -8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-4+(-8)-(-8) = 0-(-8) strategic 1 OK clt y/-4+(-8)-(-8) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-4 = 0-(-8) strategic 1 OK clt 0-(-8) condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-4 = 8 strategic 1 OK multiply -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-4*(-4) = 8*(-4) strategic 1 OK mt y/-4*(-4) condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:39:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 8*(-4) strategic 1 OK mt 8*(-4) condition 1 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:40:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = 5+x/7 strategic 1 OK subtract 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:40:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4-5 = 5+x/7-5 strategic 1 OK clt -4-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:40:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = 5+x/7-5 strategic 1 OK clt 5+x/7-5 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:40:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = x/7 strategic 1 OK multiply 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:40:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9*7 = x/7*7 strategic 1 OK mt -9*7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:40:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -63 = x/7*7 strategic 1 OK mt x/7*7 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:42:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+(y/-10) = -8 strategic 1 OK subtract -6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:42:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+(y/-10)-(-6) = -8-(-6) left 1 OK left y/-10 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:42:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10 = -8-(-6) right 1 BUG right -14 -14 is equal to -8 plus -6. You need to calculate -8 minus -6. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:42:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10 = -8-(-6) right 2 OK right -2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:42:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10 = -2 strategic 1 OK multiply -10 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:42:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10*(-10) = -2*(-10) left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:42:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -2*(-10) right 1 OK right 20 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = -6+y/2 strategic 1 BUG add -6 To remove -6 from the right side, you can add a positive to it. Erase your last step and add 6 to both sides. BUG condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = -6+y/2 strategic 2 OK add 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+6 = -6+y/2+6 left 1 BUG left 4 You forgot the negative sign. BUG condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+6 = -6+y/2+6 right 1 OK right y/2 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+6 = y/2 left 1 OK left -4 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = y/2 strategic 1 OK multiply 2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*2 = y/2*2 left 1 OK left -8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = y/2*2 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:43:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = y/8+(-5) 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 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:44:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = y/8+(-5) strategic 2 OK subtract -5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:44:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2-(-5) = y/8+(-5)-(-5) right 1 OK right y/8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:44:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2-(-5) = y/8 left 1 OK left 3 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:44:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = y/8 strategic 1 OK multiply 8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:44:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*8 = y/8*8 left 1 OK left 24 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:44:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 24 = y/8*8 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:44:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -8+y/7 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:45:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+8 = -8+y/7+8 left 1 OK left 7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:45:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = -8+y/7+8 right 1 OK right y/7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:45:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = y/7 strategic 1 OK multiply 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:45:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*7 = y/7*7 left 1 BUG left 1 1 is equal to 7 divided by 7. You need to calculate 7 times 7. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:45:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*7 = y/7*7 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session1 2007-02-21 15:45:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*7 = y left 1 OK left 49 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 9/y strategic 1 BUG multiply -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 9/y strategic 2 BUG multiply 9 To remove 9/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 9/y. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 9/y strategic 3 BUG divide -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:40.0 HINT HINT ES_02 ES_02-9 EG44 -3 = 9/y strategic 4 INITIAL_HINT condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:41.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 9/y is 9 divided by y. How do you undo division? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:45.0 HINT HINT ES_02 ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 9/y strategic 5 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:22:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = 9/y*y strategic 1 ERROR rf -3y = 9/y*y strategic condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:23:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = 9/y*y strategic 2 OK mt 9/y*y condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:23:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = 9 strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:23:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y/-3 = 9/-3 strategic 1 BUG mt -3y/-3 = 9/-3 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:23:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y/-3 = 9/-3 strategic 2 OK rf -3y/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:23:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 9/-3 strategic 1 OK rf 9/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:23:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -3 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x*x = -3x strategic 1 OK mt -10/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = -3x strategic 1 OK divide -3 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-3 = -3x/-3 strategic 1 OK rf -10/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/3 = -3x/-3 strategic 1 OK rf -3x/-3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 9 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = 9x strategic 1 OK mt 8/x*x condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = 9x strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:24:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/9 = 9x/9 strategic 1 OK rf 9x/9 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:26:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x = 6 strategic 1 OK multiply x condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:26:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = 6x left 1 OK left 8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:26:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = 6x right 1 OK right 6x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = 6x strategic 1 OK divide 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/6 = 6x/6 left 1 OK left 8/6 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/6 = 6x/6 right 1 OK right x condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/6 = x strategic 1 OK rf 8/6 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK 2 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK 4 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 3 condition 1 goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 4/3 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y = -4 strategic 1 OK multiply y condition 1 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y*y = -4y left 1 OK left 4 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:27:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = -4y right 1 OK right -4y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:29:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = -4y strategic 1 BUG divide 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:29:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = -4y strategic 2 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:29:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/-4 = -4y/-4 left 1 BUG left 1 You are dividing a positive by a negative. The result should be negative. BUG condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:29:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/-4 = -4y/-4 left 2 OK left -1 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
XqcnV session2 2007-02-27 15:30:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1 = -4y/-4 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02
g5to7 session0 2007-02-22 17:27:01.0 CYCLE CYCLE ES_02c ES_02-5 EG40 10 = -9+3y strategic 1 OK add 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:27:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 10+9 = -9+3y+9 strategic 1 OK clt 10+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:27:16.0 CYCLE CYCLE ES_02c ES_02-5 EG40 19 = -9+3y+9 strategic 1 OK clt -9+3y+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:27:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 19 = 3y strategic 1 OK divide 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:27:28.0 CYCLE CYCLE ES_02c ES_02-5 EG40 19/3 = 3y/3 strategic 1 BUG rds 19/3 = 3y/3 strategic Simplify the fraction 3y/3. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:27:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 19/3 = 3y/3 strategic 2 OK rf 3y/3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:32:31.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -2 = 2y+(-5) strategic 1 OK add 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:32:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -2+5 = 2y+(-5)+5 left 1 OK left 3 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:32:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3 = 2y+(-5)+5 right 1 ERROR right 2y+5 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:33:07.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3 = 2y+(-5)+5 right 2 OK right 2y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:33:12.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3 = 2y strategic 1 OK divide 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:33:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3/2 = 2y/2 left 1 OK left 3/2 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:33:19.0 CYCLE CYCLE ES_02c ES_02-6 EG40 3/2 = 2y/2 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:36:00.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7 = y/-9+9 strategic 1 OK subtract 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:36:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7-9 = y/-9+9-9 strategic 1 OK clt -7-9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:36:53.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16 = y/-9+9-9 strategic 1 OK clt y/-9+9-9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:37:54.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16 = y/-9 strategic 1 OK rf y/-9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:37:59.0 HINT HINT ES_02c ES_02-7 EG41 -16 = y/-9 strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:02.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:05.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:09.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16 = y/-9 strategic 3 OK rf y/-9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:18.0 HINT HINT ES_02c ES_02-7 EG41 -16 = -y/9 strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:19.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE In -y/9, y is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:23.0 HINT HINT ES_02c ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE 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 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:29.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16 = -y/9 strategic 2 OK multiply -9 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16*(-9/1) = -y/9*(-9/1) strategic 1 OK rf -9/1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:36.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16*(-9) = -y/9*(-9/1) strategic 1 ERROR rds -16*(-9) = -y/9*(-9/1) strategic condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:47.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16*(-9) = -y/9*(-9/1) strategic 2 OK rf -9/1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:54.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -16*(-9) = -y/9*(-9/1) strategic 3 OK mt -16*(-9) condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:38:57.0 CYCLE CYCLE ES_02c ES_02-7 EG41 144 = -y/9*(-9/1) strategic 1 OK mt -y/9*(-9/1) condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:13.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -9 = -2+(x/-8) strategic 1 BUG distribute -9 = -2+(x/-8) strategic Simplify the fraction x/-8. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:21.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -9 = -2+(x/-8) strategic 2 OK add 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:26.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -9+2 = -2+(x/-8)+2 strategic 1 OK clt -9+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:26.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7 = -2+(x/-8)+2 strategic 1 OK clt -2+(x/-8)+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:29.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7 = x/-8 strategic 1 OK rf x/-8 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:36.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7 = -x/8 strategic 1 OK multiply -8 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -7*(-8/1) = -x/8*(-8/1) strategic 1 OK mt -7*(-8/1) condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 56/1 = -x/8*(-8/1) strategic 1 OK mt -x/8*(-8/1) condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:39:50.0 CYCLE CYCLE ES_02c ES_02-7 EG41 56/1 = x strategic 1 OK rf 56/1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:08.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -9+x/3 = -7 strategic 1 OK add 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:13.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -9+x/3+9 = -7+9 strategic 1 OK clt -9+x/3+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/3 = -7+9 strategic 1 OK clt -7+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:22.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/3 = 2 strategic 1 OK multiply 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:26.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x/3*3 = 2*3 strategic 1 OK mt x/3*3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 x = 2*3 strategic 1 OK mt 2*3 condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:46.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -5 = x/6+(-6) strategic 1 OK subtract -6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:51.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -5-(-6) = x/6+(-6)-(-6) strategic 1 OK clt -5-(-6) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:51.0 CYCLE CYCLE ES_02c ES_02-7 EG41 1 = x/6+(-6)-(-6) strategic 1 OK clt x/6+(-6)-(-6) condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:40:59.0 CYCLE CYCLE ES_02c ES_02-7 EG41 1 = x/6 strategic 1 OK multiply 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:41:03.0 CYCLE CYCLE ES_02c ES_02-7 EG41 1*6 = x/6*6 strategic 1 OK mt 1*6 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:41:03.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6 = x/6*6 strategic 1 OK mt x/6*6 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:42:52.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y/-7+1 = 8 strategic 1 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:43:02.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y/-7+1-1 = 8-1 right 1 OK right 7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:43:10.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y/-7+1-1 = 7 left 1 OK left y/-7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:43:16.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y/-7 = 7 strategic 1 OK multiply -7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:43:23.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y/-7*(-7) = 7*(-7) left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:43:27.0 CYCLE CYCLE ES_02c ES_02-8 EG41 y = 7*(-7) right 1 OK right -49 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:45:01.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -8 = y/-8+(-5) strategic 1 OK add 5 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:45:08.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -8+5 = y/-8+(-5)+5 left 1 OK left -3 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:45:16.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -3 = y/-8+(-5)+5 right 1 OK right y/-8 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:45:20.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -3 = y/-8 strategic 1 OK multiply -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:45:30.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -3*(-8) = y/-8*(-8) left 1 OK left 24 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:45:33.0 CYCLE CYCLE ES_02c ES_02-8 EG41 24 = y/-8*(-8) right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:07.0 HINT HINT ES_02c ES_02-9 EG44 2 = -4/x strategic 1 INITIAL_HINT condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:08.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -4/x is -4 divided by x. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:12.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:17.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2 = -4/x strategic 2 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:17.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2 = -4/x strategic 3 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:20.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2x = -4/x*x strategic 1 OK mt -4/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:25.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2x = -4 strategic 1 OK divide 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:29.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2x/2 = -4/2 strategic 1 OK rf 2x/2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:30.0 CYCLE CYCLE ES_02c ES_02-9 EG44 x = -4/2 strategic 1 OK rf -4/2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:51.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2/y = 2 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:54.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2/y*y = 2y strategic 1 OK mt 2/y*y condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:48:57.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2 = 2y strategic 1 OK divide 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:01.0 CYCLE CYCLE ES_02c ES_02-9 EG44 2/2 = 2y/2 strategic 1 OK rf 2/2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:01.0 CYCLE CYCLE ES_02c ES_02-9 EG44 1 = 2y/2 strategic 1 OK rf 2y/2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:27.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9/x = 10 strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9/x*x = 10x strategic 1 OK mt -9/x*x condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:35.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9 = 10x strategic 1 BUG divide -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:41.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9 = 10x strategic 2 ERROR divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:46.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9 = 10x strategic 3 OK divide 10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:49:49.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9/10 = 10x/10 strategic 1 OK rf 10x/10 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:52:17.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4/x = 9 strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:52:24.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4/x*x = 9x left 1 OK left -4 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:52:27.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4 = 9x right 1 OK right 9x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:52:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4 = 9x strategic 1 OK divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:52:35.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4/9 = 9x/9 left 1 OK left -4/9 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:52:37.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4/9 = 9x/9 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:53:27.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4 = 6/x strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:53:32.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4x = 6/x*x left 1 OK left -4x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:53:38.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4x = 6/x*x right 1 OK right 6 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:53:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4x = 6 strategic 1 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:53:45.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -4x/-4 = 6/-4 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:53:50.0 CYCLE CYCLE ES_02c ES_02-10 EG44 x = 6/-4 right 1 OK right 6/-4 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:53:57.0 CYCLE CYCLE ES_02c ES_02-10 EG44 x = 6/-4 strategic 1 OK rf 6/-4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:05.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:09.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 2 ERROR 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:11.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 3 ERROR 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:11.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT 3 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:14.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 5 ERROR 6 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:16.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 6 ERROR 4 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:18.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 7 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:19.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 8 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:19.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 9 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:19.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 10 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:19.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 11 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:20.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 12 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:20.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 13 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:20.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 14 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:21.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 15 INITIAL_HINT 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:21.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 6 and denominator -4? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:25.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE -2 will go into both 6 and -4 and is the most appropriate common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 16 OK -2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:38.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 1 BUG 3 3
Check the sign of your answer. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:41.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 2 OK -3 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:44.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 1 BUG -2 -2
Check the sign of your answer. BUG condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:47.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 2 OK 2 condition 3 goldenvalleyselfexplanation-27051 171RGE86--7--es02c
g5to7 session0 2007-02-22 17:54:55.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 1 OK -3/2 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02c
hZ1B6 session0 2007-03-20 10:00:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9y+5 = -6 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:00:51.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9y+5-5 = -6-5 strategic 1 OK clt -9y+5-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:00:52.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9y = -6-5 strategic 1 OK clt -6-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:01:00.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9y = -11 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:01:06.0 CYCLE CYCLE ES_02b ES_02-5 EG40 -9y/-9 = -11/-9 strategic 1 OK rf -9y/-9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:01:06.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = -11/-9 strategic 1 OK rf -11/-9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:08:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 3x+(-1) = 7 strategic 1 OK subtract -1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:08:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 3x+(-1)-(-1) = 7-(-1) left 1 OK left 3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:08:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 3x = 7-(-1) right 1 OK right 8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:08:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 3x = 8 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:08:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 3x/3 = 8/3 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:08:56.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = 8/3 right 1 OK right 8/3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1+x/4 = -6 strategic 1 OK subtract -1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:11.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1+x/4-(-1) = -6-(-1) strategic 1 OK clt -1+x/4-(-1) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/4 = -6-(-1) strategic 1 OK clt -6-(-1) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:21.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/4 = -5 strategic 1 OK multiply 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/4*4 = -5*4 strategic 1 OK mt x/4*4 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -5*4 strategic 1 OK mt -5*4 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1 = x/9+(-9) strategic 1 OK subtract -9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1-(-9) = x/9+(-9)-(-9) strategic 1 OK clt -1-(-9) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:11:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = x/9+(-9)-(-9) strategic 1 OK clt x/9+(-9)-(-9) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:12:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = x/9 strategic 1 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:12:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8*9 = x/9*9 strategic 1 OK mt 8*9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:12:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 72 = x/9*9 strategic 1 OK mt x/9*9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:13:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3+(-3) = 8 strategic 1 OK subtract -3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3+(-3)-(-3) = 8-(-3) left 1 OK left y/3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3 = 8-(-3) right 1 OK right 11 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3 = 11 strategic 1 OK multiply 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/3*3 = 11*3 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 11*3 right 1 OK right 33 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:38.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5+10 = 6 strategic 1 OK subtract 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5+10-10 = 6-10 left 1 OK left y/5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = 6-10 right 1 OK right -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:14:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4 strategic 1 OK multiply 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:15:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5*5 = -4*5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:15:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = -4*5 right 1 OK right -20 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:19:01.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 1 BUG multiply -2 To remove -2/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -2/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:19:10.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 2 BUG multiply 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:19:49.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 3 ERROR distribute -2/y = 2 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:20:10.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 4 BUG multiply 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:21:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 5 ERROR rds -2/y = 2 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:21:25.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 6 ERROR multiply -1 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:21:28.0 HINT HINT ES_02b ES_02-9 EG44 -2/y*(-1) = 2*(-1) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:21:32.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:21:46.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Put the equation in its simplest form. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:22:03.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 7 ERROR rds -2/y = 2 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:22:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 8 ERROR rf -2/y = 2 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:22:18.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 9 ERROR mt -2/y = 2 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:22:27.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 10 ERROR mt -2/y = 2 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:24:43.0 HINT HINT ES_02b ES_02-9 EG44 -2/y = 2 strategic 11 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:24:47.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE -2/y is -2 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:24:57.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y = 2 strategic 12 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/y*y = 2y strategic 1 OK mt -2/y*y condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:15.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = 2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:20.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/2 = 2y/2 strategic 1 OK rf -2/2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:20.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -1 = 2y/2 strategic 1 OK rf 2y/2 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/x = -3 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:48.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/x*x = -3x strategic 1 OK mt -4/x*x condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4 = -3x strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/-3 = -3x/-3 strategic 1 OK rf -4/-3 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:25:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4/3 = -3x/-3 strategic 1 OK rf -3x/-3 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:26:20.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9 = 10/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:26:23.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9x = 10/x*x strategic 1 OK mt 10/x*x condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:26:30.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9x = 10 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:26:32.0 CYCLE CYCLE ES_02b ES_02-9 EG44 9x/9 = 10/9 strategic 1 OK rf 9x/9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9 = -3/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:30.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9y = -3/y*y left 1 OK left 9y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:36.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9y = -3/y*y right 1 OK right -3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:43.0 CYCLE CYCLE ES_02b ES_02-10 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 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:50.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9y = -3 strategic 2 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:54.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9y/9 = -3/9 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:56.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = -3/9 right 1 ERROR right 3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:28:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = -3/9 right 2 BUG right -3 You need to calculate -3 divided by 9, not 9 divided by -3. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:29:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = -3/9 right 3 OK right -3/9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session0 2007-03-20 10:29:19.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = -3/9 strategic 1 OK rf -3/9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:41:14.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = -3/9 strategic 1 OK rf -3/9 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:41:25.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 1 OK 3 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:41:32.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 1 BUG 1 1
Check the sign of your answer. BUG condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:41:37.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 2 OK -1 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:41:39.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 1 OK 3 condition 2 goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:41:49.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 OK -1/3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:42:20.0 CYCLE CYCLE ES_02b ES_02-10 EG44 6 = 5/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:42:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 6y = 5/y*y left 1 OK left 6y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:42:47.0 CYCLE CYCLE ES_02b ES_02-10 EG44 6y = 5/y*y right 1 OK right 5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:42:54.0 CYCLE CYCLE ES_02b ES_02-10 EG44 6y = 5 strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:42:57.0 CYCLE CYCLE ES_02b ES_02-10 EG44 6y/6 = 5/6 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hZ1B6 session1 2007-03-22 11:43:00.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = 5/6 right 1 OK right 5/6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02b
hpN7z session0 2007-02-21 17:37:07.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2x+(-3) = -8 strategic 1 OK divide -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:37:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-2x+(-3))/-2 = -8/-2 strategic 1 OK rf (-2x+(-3))/-2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:37:15.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -(-2x+(-3))/2 = -8/-2 strategic 1 OK rf -8/-2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:37:36.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -(-2x+(-3))/2 = 4 strategic 1 ERROR clt -(-2x+(-3))/2 = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:37:50.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -(-2x+(-3))/2 = 4 strategic 2 ERROR rf -(-2x+(-3))/2 = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:37:54.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -(-2x+(-3))/2 = 4 strategic 3 OK distribute -(-2x+(-3)) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:38:04.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-1*(-2)*x-1*(-3))/2 = 4 strategic 1 OK mt 1*(-3) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:38:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (-1*(-2)*x-(-3))/2 = 4 strategic 1 OK mt -1*(-2)*x condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:38:31.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (2x-(-3))/2 = 4 strategic 1 BUG divide 2 To remove the coefficient of [2x-[-3]]/2, you need to divide by 1/2 or multiply by 2. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:38:41.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (2x-(-3))/2 = 4 strategic 2 ERROR subtract 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:38:58.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (2x-(-3))/2 = 4 strategic 3 ERROR clt (2x-(-3))/2 = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:03.0 CYCLE CYCLE ES_02c ES_02-5 EG40 (2x-(-3))/2 = 4 strategic 4 OK distribute (2x-(-3))/2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 2x/2-(-3/2) = 4 strategic 1 OK rf 2x/2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:13.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x-(-3/2) = 4 strategic 1 ERROR rf x-(-3/2) = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:33.0 HINT HINT ES_02c ES_02-5 EG40 x-(-3/2) = 4 strategic 2 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:34.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x-(-3/2) = 4 strategic 3 ERROR rf x-(-3/2) = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:43.0 HINT HINT ES_02c ES_02-5 EG40 x-(-3/2) = 4 strategic 4 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:46.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:39:51.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x-(-3/2) = 4 strategic 5 OK rds x-(-3/2) = 4 strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x+3/2 = 4 strategic 1 ERROR rf x+3/2 = 4 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:06.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x+3/2 = 4 strategic 2 ERROR distribute x+3/2 = 4 strategic condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x+3/2 = 4 strategic 3 OK subtract 3/2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:28.0 HINT HINT ES_02c ES_02-5 EG40 x+3/2-3/2 = 4-3/2 strategic 1 INITIAL_HINT condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:29.0 HINT HINT ES_02c ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x+3/2-3/2 = 4-3/2 strategic 2 OK clt x+3/2-3/2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:35.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = 4-3/2 strategic 1 OK clt 4-3/2 condition 3 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:40:57.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6+7x = 2 strategic 1 OK add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:02.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6+7x+6 = 2+6 strategic 1 OK clt -6+7x+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:02.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x = 2+6 strategic 1 OK clt 2+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:06.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x = 8 strategic 1 OK divide 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x/7 = 8/7 strategic 1 BUG rds 7x/7 = 8/7 strategic Simplify the fraction 7x/7. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:18.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x/7 = 8/7 strategic 2 BUG rds 7x/7 = 8/7 strategic Simplify the fraction 7x/7. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:22.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x/7 = 8/7 strategic 3 OK rf 7x/7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:55.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y+2 = 5 strategic 1 OK subtract 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y+2-2 = 5-2 strategic 1 OK clt -2y+2-2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:41:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y = 5-2 strategic 1 OK clt 5-2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:42:04.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y = 3 strategic 1 OK divide -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:42:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -2y/-2 = 3/-2 strategic 1 OK rf -2y/-2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session0 2007-02-21 17:42:08.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = 3/-2 strategic 1 OK rf 3/-2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:21:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1 = -3+(-1y) strategic 1 BUG add 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:21:31.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1 = -3+(-1y) strategic 2 OK divide -1 condition 3 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:21:38.0 CYCLE CYCLE ES_02c ES_02-6 EG40 1/-1 = (-3+(-1y))/-1 left 1 OK left -1 condition 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:21:47.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = (-3+(-1y))/-1 right 1 ERROR right -3+y condition 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:21:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = (-3+(-1y))/-1 right 2 ERROR right (-3+y) condition 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:22:01.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = (-3+(-1y))/-1 right 3 ERROR right (-3)+y condition 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:22:10.0 HINT HINT ES_02c ES_02-6 EG40 -1 = (-3+(-1y))/-1 strategic 1 INITIAL_HINT condition 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:22:12.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in (-3+(-1y))/-1 on the right. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:22:31.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = (-3+(-1y))/-1 right 4 ERROR right (-3(-1y))/-1 condition 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:22:44.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = (-3+(-1y))/-1 right 5 OK right (-3+(-1y))/-1 condition 3 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:22:45.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = (-3-1y)/-1 strategic 1 OK unnec-elems -1=(-3-1y)/-1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:22:54.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = (-3-y)/-1 strategic 1 OK rf (-3-y)/-1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:10.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 ERROR y condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:16.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 2 BUG -3-y -3-y
Check the sign of your answer. BUG condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:21.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 3 BUG (-3)-y (-3)-y
Check the sign of your answer. BUG condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:23.0 HINT HINT ES_02c ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT (-3)-y In the above expression you have (-3-y)/-1. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:24.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE To simplify, divide -1 into -3-y. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:28.0 HINT HINT ES_02c ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type -(-3-y). HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:35.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 5 OK -(-3-y) condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:51.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = -(-3-y) strategic 1 ERROR add 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:54.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1+3 = -(-3-y)+3 right 1 BUG right y y is equal to -[-3-y] minus 3. You need to calculate -[-3-y] plus 3. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:23:59.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1+3 = -(-3-y)+3 right 2 ERROR right -y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:05.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = -(-3-y) strategic 2 ERROR clt -1 = -(-3-y) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:10.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = -(-3-y) strategic 3 ERROR rds -1 = -(-3-y) strategic condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:13.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = -(-3-y) strategic 4 OK distribute -(-3-y) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:15.0 CYCLE CYCLE ES_02c ES_02-6 EG40 di-expr strategic 1 OK -1 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:18.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row1-1-term0 strategic 1 OK -3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row1-1-term1 strategic 1 ERROR y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:27.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row1-1-term1 strategic 2 OK -y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:37.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term1 strategic 1 OK y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:48.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term0 strategic 1 ERROR -2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:50.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term0 strategic 2 ERROR -4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:24:52.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term0 strategic 3 BUG -3 -3
Check the sign of your answer. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:25:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2-1-term0 strategic 4 OK 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:25:26.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 6 OK y+3 condition 3 distribute-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:25:31.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = y+3 strategic 1 OK subtract 3 condition 3 [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}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:25:34.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1-3 = y+3-3 right 1 OK right y condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:25:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1-3 = y left 1 OK left -4 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:29:58.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-8+8 = 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 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-8+8 = 8 strategic 2 OK subtract 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-8+8-8 = 8-8 strategic 1 OK clt y/-8+8-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-8 = 8-8 strategic 1 OK clt 8-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:21.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-8 = 0 strategic 1 BUG divide -8 To remove the coefficient of y/-8, you need to divide by 1/-8 or multiply by -8. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:29.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-8 = 0 strategic 2 OK multiply -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:35.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-8*(-8) = 0*(-8) strategic 1 OK mt y/-8*(-8) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:35.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = 0*(-8) strategic 1 OK mt 0*(-8) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:30:57.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6 = 8+y/9 strategic 1 OK subtract 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:01.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6-8 = 8+y/9-8 strategic 1 OK clt 6-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:01.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2 = 8+y/9-8 strategic 1 OK clt 8+y/9-8 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:07.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2 = y/9 strategic 1 BUG divide 9 To remove the coefficient of y/9, you need to divide by 1/9 or multiply by 9. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:16.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2 = y/9 strategic 2 OK multiply 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:21.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2*9 = y/9*9 strategic 1 OK mt -2*9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:22.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -18 = y/9*9 strategic 1 OK mt y/9*9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:45.0 CYCLE CYCLE ES_02c ES_02-7 EG41 2+(y/-6) = 8 strategic 1 OK subtract 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 2+(y/-6)-2 = 8-2 strategic 1 OK clt 2+(y/-6)-2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:49.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6 = 8-2 strategic 1 OK clt 8-2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:31:54.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6 = 6 strategic 1 OK multiply -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:00.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y/-6*(-6) = 6*(-6) strategic 1 OK mt y/-6*(-6) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:00.0 CYCLE CYCLE ES_02c ES_02-7 EG41 y = 6*(-6) strategic 1 OK mt 6*(-6) condition 3 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -1 = 3+(y/-4) strategic 1 OK subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:48.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -1-3 = 3+(y/-4)-3 strategic 1 OK clt -1-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:48.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4 = 3+(y/-4)-3 strategic 1 OK clt 3+(y/-4)-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:54.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4 = y/-4 strategic 1 OK multiply -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:58.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -4*(-4) = y/-4*(-4) strategic 1 OK mt -4*(-4) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:32:58.0 CYCLE CYCLE ES_02c ES_02-7 EG41 16 = y/-4*(-4) strategic 1 OK mt y/-4*(-4) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:04.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7 = y/7+(-8) strategic 1 OK add 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:08.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -7+8 = y/7+(-8)+8 left 1 OK left 1 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:14.0 CYCLE CYCLE ES_02c ES_02-8 EG41 1 = y/7+(-8)+8 right 1 OK right y/7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:18.0 CYCLE CYCLE ES_02c ES_02-8 EG41 1 = y/7 strategic 1 OK multiply 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:22.0 CYCLE CYCLE ES_02c ES_02-8 EG41 1*7 = y/7*7 left 1 OK left 7 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:26.0 CYCLE CYCLE ES_02c ES_02-8 EG41 7 = y/7*7 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:40.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -8 = -10+(y/-2) strategic 1 OK add 10 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:43.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -8+10 = -10+(y/-2)+10 left 1 OK left 2 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:50.0 CYCLE CYCLE ES_02c ES_02-8 EG41 2 = -10+(y/-2)+10 right 1 OK right y/-2 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:55.0 CYCLE CYCLE ES_02c ES_02-8 EG41 2 = y/-2 strategic 1 OK multiply -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:35:58.0 CYCLE CYCLE ES_02c ES_02-8 EG41 2*(-2) = y/-2*(-2) left 1 OK left -4 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:36:01.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -4 = y/-2*(-2) right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:17.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9 = -3/y strategic 1 ERROR multiply 3 condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:27.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9 = -3/y 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 condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:32.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9 = -3/y strategic 3 BUG multiply -3 To remove -3/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -3/y. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:38.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9 = -3/y strategic 4 ERROR rf 9 = -3/y strategic condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:48.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9 = -3/y strategic 5 ERROR multiply 3 condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:52.0 HINT HINT ES_02c ES_02-9 EG44 9 = -3/y strategic 6 INITIAL_HINT condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:54.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -3/y is -3 divided by y. How do you undo division? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:39:58.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:40:03.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9 = -3/y strategic 7 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:40:07.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9y = -3/y*y strategic 1 OK mt -3/y*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:40:12.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9y = -3 strategic 1 OK divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:40:22.0 CYCLE CYCLE ES_02c ES_02-9 EG44 9y/9 = -3/9 strategic 1 OK rf 9y/9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:40:22.0 CYCLE CYCLE ES_02c ES_02-9 EG44 y = -3/9 strategic 1 OK rf -3/9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:40:54.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9 = 5/y strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:40:57.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9y = 5/y*y strategic 1 OK mt 5/y*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:02.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9y = 5 strategic 1 OK divide -9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:06.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -9y/-9 = 5/-9 strategic 1 OK rf -9y/-9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:06.0 CYCLE CYCLE ES_02c ES_02-9 EG44 y = 5/-9 strategic 1 OK rf 5/-9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:43.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8/y = 9 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:45.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8/y*y = 9y strategic 1 OK mt 8/y*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:50.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8 = 9y strategic 1 OK divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:52.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8/9 = 9y/9 strategic 1 BUG distribute 8/9 = 9y/9 strategic Simplify the fraction 9y/9. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:41:56.0 CYCLE CYCLE ES_02c ES_02-9 EG44 8/9 = 9y/9 strategic 2 OK rf 9y/9 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:45:02.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2 = 7/y strategic 1 BUG multiply 7 To remove 7/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/y. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:45:11.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2 = 7/y strategic 2 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:45:21.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2y = 7/y*y left 1 OK left 2y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:45:26.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2y = 7/y*y right 1 OK right 7 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:45:31.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2y = 7 strategic 1 OK divide 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:45:33.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2y/2 = 7/2 left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:45:44.0 CYCLE CYCLE ES_02c ES_02-10 EG44 y = 7/2 right 1 OK right 3.5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:46:03.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/y = -3 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:46:06.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/y*y = -3y left 1 OK left 8 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:46:10.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8 = -3y right 1 BUG right 3y You are multiplying a negative by a positive. The result should be negative. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:46:12.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8 = -3y right 2 OK right -3y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:46:17.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8 = -3y strategic 1 OK divide -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:46:20.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/-3 = -3y/-3 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
hpN7z session1 2007-02-22 15:46:29.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/-3 = y left 1 OK left -2.6667 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
j14Du session0 2007-02-21 17:35:13.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y+(-3) = -4 strategic 1 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:35:20.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y+(-3)+3 = -4+3 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:35:24.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (9y+(-3)+3)/9 = (-4+3)/9 strategic 1 ERROR rf (9y+(-3)+3)/9 = (-4+3)/9 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:35:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (9y+(-3)+3)/9 = (-4+3)/9 strategic 2 ERROR mt (9y+(-3)+3)/9 = (-4+3)/9 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:35:50.0 HINT HINT ES_02b ES_02-5 EG40 (9y+(-3)+3)/9 = (-4+3)/9 strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:35:51.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:35:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (9y+(-3)+3)/9 = (-4+3)/9 strategic 4 OK rds (9y+(-3)+3)/9 = (-4+3)/9 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:07.0 HINT HINT ES_02b ES_02-5 EG40 (9y-3+3)/9 = (-4+3)/9 strategic 1 INITIAL_HINT condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:08.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:31.0 HINT HINT ES_02b ES_02-5 EG40 (9y-3+3)/9 = (-4+3)/9 strategic 2 INITIAL_HINT condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:36.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:41.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (9y-3+3)/9 = (-4+3)/9 strategic 3 OK clt 9y-3+3 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:44.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y/9 = (-4+3)/9 strategic 1 OK clt -4+3 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y/9 = -1/9 strategic 1 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:53.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y/9*9 = -1/9*9 strategic 1 ERROR clt 9y/9*9 = -1/9*9 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:57.0 HINT HINT ES_02b ES_02-5 EG40 9y/9*9 = -1/9*9 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:36:58.0 HINT HINT ES_02b ES_02-5 EG40 null strategic 4 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:37:04.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y/9*9 = -1/9*9 strategic 3 OK mt 9y/9*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:37:14.0 CYCLE CYCLE ES_02b ES_02-5 EG40 81y/9 = -1/9*9 strategic 1 OK mt -1/9*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:37:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 81y/9 = -9/9 strategic 1 OK rf 81y/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:37:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y = -9/9 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:37:56.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9y/9 = (-9/9)/9 strategic 1 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:37:59.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = (-9/9)/9 strategic 1 BUG rds y = (-9/9)/9 strategic Simplify the fraction [-9/9]/9. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:38:04.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = (-9/9)/9 strategic 2 OK rf (-9/9)/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:43:52.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6 = 6+10x strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:43:55.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6-6 = 6+10x-6 left 1 ERROR left -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:08.0 HINT HINT ES_02b ES_02-6 EG40 6-6 = 6+10x-6 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:09.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in 6-6 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6-6 = 6+10x-6 left 2 OK left 6-6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:23.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6-6 = 6+10x-6 right 1 OK right 10x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6-6 = 10x strategic 1 OK clt 6-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 ERROR -6 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:38.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT -6 Simplify the expression [6]+[-6]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:44.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT -6 Simplify the expression [6]+[-6]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 4 OK 6+(-6) condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:44:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6-6 = 10x strategic 2 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (6-6)/10 = 10x/10 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:05.0 HINT HINT ES_02b ES_02-6 EG40 (6-6)/10 = x strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:06.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Type in (6-6)/10 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (6-6)/10 = x left 1 OK left (6-6)/10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (6-6)/10 = x strategic 2 BUG rf (6-6)/10 = x strategic You already solved the equation. x is [6-6]/10. BUG condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:23.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (6-6)/10 = x strategic 3 BUG rds (6-6)/10 = x strategic You already solved the equation. x is [6-6]/10. BUG condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:28.0 HINT HINT ES_02b ES_02-6 EG40 (6-6)/10 = x strategic 4 INITIAL_HINT condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:28.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:31.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (6-6)/10 = x strategic 5 OK clt 6-6 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 5 ERROR -6 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:35.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT -6 Simplify the expression [6]+[-6]. HINT 1 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (6-6)/10 = x strategic 6 OK clt 6-6 condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 7 OK 0 condition 2 combine-like-terms-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:52.0 HINT HINT ES_02b ES_02-6 EG40 0/10 = x strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:52.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:56.0 CYCLE CYCLE ES_02b ES_02-6 EG40 0/10 = x strategic 2 OK rf 0/10 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:45:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 8 ERROR -10 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:01.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 9 INITIAL_HINT -10 The original expression has a 0 in the numerator. 0 multiplied or divided by anything (other than 0) is equal to 0. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:02.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Type 0. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:06.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 10 OK 0 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5 = -9+(-3x) strategic 1 ERROR multiply -9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:39.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5 = -9+(-3x) strategic 2 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:45.0 HINT HINT ES_02b ES_02-6 EG40 -5 = -9+(-3x) strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:45.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5 = -9+(-3x) strategic 4 OK rds -5 = -9+(-3x) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:46:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5 = -9-3x 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 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:15.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5 = -9-3x strategic 2 OK add 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -5+9 = -9-3x+9 left 1 OK left 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4 = -9-3x+9 right 1 BUG right 3x You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:27.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4 = -9-3x+9 right 2 OK right -3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4 = -3x strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:36.0 HINT HINT ES_02b ES_02-6 EG40 4/-3 = -3x/-3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:38.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Type in 4/-3 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-3 = -3x/-3 left 1 ERROR left 4/-6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:51.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-3 = -3x/-3 left 2 OK left 4/-3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:54.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-3 = -3x/-3 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:47:58.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-3 = x strategic 1 OK rf 4/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:03.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 4/-3. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:04.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE To simplify, divide -3 into 4. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:08.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type -4/3. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 2 OK 4/-3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-3 = x strategic 2 BUG rds 4/-3 = x strategic Simplify the fraction 4/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-3 = x strategic 3 OK rf 4/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:37.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 3 ERROR -.75 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 4 ERROR .75 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:43.0 HINT HINT ES_02b ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT .75 In the above expression you have 4/-3. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:45.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE To simplify, divide -3 into 4. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:48:56.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 6 OK -1.33 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:25.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10 = -1y+(-7) strategic 1 ERROR clt -10 = -1y+(-7) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:28.0 HINT HINT ES_02b ES_02-6 EG40 -10 = -1y+(-7) strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:29.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10 = -1y+(-7) strategic 3 OK rds -10 = -1y+(-7) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:36.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10 = -1y-7 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:43.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10+7 = -1y-7+7 left 1 OK left -3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:46.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = -1y-7+7 right 1 OK right -1y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:49:50.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3 = -1y strategic 1 OK divide -1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -3/-1 = -1y/-1 left 1 OK left 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 3 = -1y/-1 right 1 OK right y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1+8x = -9 strategic 1 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1+8x-1 = -9-1 left 1 OK left 8x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:27.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8x = -9-1 right 1 OK right -10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8x = -10 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:32.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8x/8 = -10/8 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:50:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -10/8 right 1 OK right -1.25 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:51:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3 = -2+(x/-9) strategic 1 BUG rds -3 = -2+(x/-9) strategic Simplify the fraction x/-9. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:51:56.0 HINT HINT ES_02b ES_02-7 EG41 -3 = -2+(x/-9) strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:51:57.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:00.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3 = -2+(x/-9) strategic 3 OK rf x/-9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:09.0 HINT HINT ES_02b ES_02-7 EG41 -3 = -2+(-x/9) strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:09.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3 = -2+(-x/9) strategic 2 OK rds -3 = -2+(-x/9) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:21.0 HINT HINT ES_02b ES_02-7 EG41 -3 = -2-x/9 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:21.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE -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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:25.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:33.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3 = -2-x/9 strategic 2 OK add 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:38.0 HINT HINT ES_02b ES_02-7 EG41 -3+2 = -2-x/9+2 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:39.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3+2 = -2-x/9+2 strategic 2 OK clt -3+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1 = -2-x/9+2 strategic 1 OK clt -2-x/9+2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1 = -x/9 strategic 1 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1*9 = -x/9*9 strategic 1 ERROR clt -1*9 = -x/9*9 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:52:59.0 HINT HINT ES_02b ES_02-7 EG41 -1*9 = -x/9*9 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:00.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -1*9 = -x/9*9 strategic 3 OK mt -1*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9 = -x/9*9 strategic 1 OK mt -x/9*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:10.0 HINT HINT ES_02b ES_02-7 EG41 -9 = -9x/9 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:11.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9 = -9x/9 strategic 2 OK rf -9x/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9 = -x 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 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:30.0 HINT HINT ES_02b ES_02-7 EG41 -9 = -x strategic 2 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:31.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:36.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9 = -x strategic 3 ERROR divide -4 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9 = -x strategic 4 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -9/-1 = -x/-1 strategic 1 OK rf -9/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:53:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 9 = -x/-1 strategic 1 OK rf -x/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:54:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = x/6+7 strategic 1 ERROR clt 3 = x/6+7 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:55:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3 = x/6+7 strategic 2 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:55:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 3-7 = x/6+7-7 strategic 1 OK clt 3-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:55:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = x/6+7-7 strategic 1 OK clt x/6+7-7 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:55:22.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4 = x/6 strategic 1 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:55:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -4*6 = x/6*6 strategic 1 OK mt -4*6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:55:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -24 = x/6*6 strategic 1 OK mt x/6*6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:56:47.0 HINT HINT ES_02b ES_02-7 EG41 5+(y/-7) = -9 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:56:48.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:56:52.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:56:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+(y/-7) = -9 strategic 2 OK rf y/-7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:56:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+(-y/7) = -9 strategic 1 OK rds 5+(-y/7) = -9 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-y/7 = -9 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-y/7 = -9 strategic 2 OK add -5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:18.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5-y/7+(-5) = -9+(-5) strategic 1 OK clt 5-y/7+(-5) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/7 = -9+(-5) strategic 1 OK clt -9+(-5) condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/7 = -14 strategic 1 OK multiply -7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -y/7*(-7/1) = -14*(-7/1) strategic 1 OK mt -y/7*(-7/1) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -14*(-7/1) strategic 1 OK mt -14*(-7/1) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:57:35.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = 98/1 strategic 1 OK rf 98/1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:58:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 6 = x/-4+(-1) strategic 1 OK rds 6 = x/-4+(-1) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:58:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 6 = x/-4-1 strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:58:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 6+1 = x/-4-1+1 strategic 1 OK clt 6+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:58:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/-4-1+1 strategic 1 OK clt x/-4-1+1 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:58:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/-4 strategic 1 OK multiply -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:58:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7*(-4) = x/-4*(-4) strategic 1 OK mt 7*(-4) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session0 2007-02-21 17:58:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -28 = x/-4*(-4) strategic 1 OK mt x/-4*(-4) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5+(x/-6) = 4 strategic 1 BUG rds -5+(x/-6) = 4 strategic Simplify the fraction x/-6. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5+(x/-6) = 4 strategic 2 OK rf x/-6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:10.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5+(-x/6) = 4 strategic 1 ERROR distribute -5+(-x/6) = 4 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:21.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5+(-x/6) = 4 strategic 2 OK add 5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:24.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5+(-x/6)+5 = 4+5 strategic 1 ERROR mt -5+(-x/6)+5 = 4+5 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:26.0 HINT HINT ES_02b ES_02-7 EG41 -5+(-x/6)+5 = 4+5 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:27.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5+(-x/6)+5 = 4+5 strategic 3 ERROR rf -5+(-x/6)+5 = 4+5 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5+(-x/6)+5 = 4+5 strategic 4 OK rds -5+(-x/6)+5 = 4+5 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:38.0 HINT HINT ES_02b ES_02-7 EG41 -5-x/6+5 = 4+5 strategic 1 INITIAL_HINT condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:39.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -5-x/6+5 = 4+5 strategic 2 OK clt -5-x/6+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/6 = 4+5 strategic 1 OK clt 4+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:26:56.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/6 = 9 strategic 1 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/6*6 = 9*6 strategic 1 OK mt -x/6*6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6x/6 = 9*6 strategic 1 OK mt 9*6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:05.0 HINT HINT ES_02b ES_02-7 EG41 -6x/6 = 54 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:06.0 HINT HINT ES_02b ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:09.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -6x/6 = 54 strategic 2 OK rf -6x/6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:25.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x = 54 strategic 1 BUG add 1 In -x, x is multiplied by -1. How do you undo multiplication? BUG condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:32.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x = 54 strategic 2 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/-1 = 54/-1 strategic 1 BUG mt -x/-1 = 54/-1 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/-1 = 54/-1 strategic 2 OK rf -x/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = 54/-1 strategic 1 OK rf 54/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10 = x/7+5 strategic 1 ERROR rf -10 = x/7+5 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:27:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10 = x/7+5 strategic 2 ERROR rds -10 = x/7+5 strategic condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:01.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10 = x/7+5 strategic 3 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -10-5 = x/7+5-5 strategic 1 OK clt -10-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -15 = x/7+5-5 strategic 1 OK clt x/7+5-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:10.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -15 = x/7 strategic 1 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -15*7 = x/7*7 strategic 1 OK mt -15*7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -105 = x/7*7 strategic 1 OK mt x/7*7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = -3+y/9 strategic 1 OK add 3 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+3 = -3+y/9+3 strategic 1 OK clt 5+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = -3+y/9+3 strategic 1 OK clt -3+y/9+3 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = y/9 strategic 1 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8*9 = y/9*9 strategic 1 OK mt 8*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:28:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 72 = y/9*9 strategic 1 OK mt y/9*9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:29:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8+6 = -3 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:29:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8+6-6 = -3-6 strategic 1 OK clt x/8+6-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:29:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8 = -3-6 strategic 1 OK clt -3-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:29:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8 = -9 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:29:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/8*8 = -9*8 strategic 1 OK mt x/8*8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:29:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -9*8 strategic 1 OK mt -9*8 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:30:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4 = 6+y/9 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:30:28.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4-6 = 6+y/9-6 left 1 ERROR left 6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:30:32.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4-6 = 6+y/9-6 left 2 OK left -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:30:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2 = 6+y/9-6 right 1 OK right Y/9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:30:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2 = Y/9 strategic 1 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:30:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2*9 = Y/9*9 left 1 OK left -18 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:30:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -18 = Y/9*9 right 1 OK right Y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6+x/10 = -6 strategic 1 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6+x/10+6 = -6+6 left 1 OK left X/10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:11.0 CYCLE CYCLE ES_02b ES_02-8 EG41 X/10 = -6+6 right 1 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 X/10 = 0 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:18.0 CYCLE CYCLE ES_02b ES_02-8 EG41 X/10*10 = 0*10 left 1 OK left X condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 X = 0*10 right 1 OK right 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7 = -7+x/3 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+7 = -7+x/3+7 left 1 OK left 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0 = -7+x/3+7 right 1 OK right X/3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0 = X/3 strategic 1 OK multiply 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0*3 = X/3*3 left 1 OK left 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:31:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 0 = X/3*3 right 1 OK right X condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 5/y strategic 1 BUG multiply 5 To remove 5/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 5/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 5/y strategic 2 BUG multiply 5 To remove 5/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 5/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:29.0 HINT HINT ES_02b ES_02-9 EG44 -3*5 = 5/y*5 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:38.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 5/y strategic 3 ERROR rds -3 = 5/y strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:40.0 HINT HINT ES_02b ES_02-9 EG44 -3 = 5/y strategic 4 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:41.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 5/y is 5 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:44.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:49.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 5/y strategic 5 OK multiply Y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:33:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y = 5/y*y strategic 1 OK mt 5/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:01.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y = 5 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y/-3 = 5/-3 strategic 1 OK rf -3y/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 5/-3 strategic 1 OK rf 5/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:35.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5/x = -10 strategic 1 OK multiply X condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:37.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5/x*x = -10x strategic 1 OK mt 5/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:41.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = -10x strategic 1 OK divide -10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:47.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5/-10 = -10x/-10 strategic 1 OK rf 5/-10 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:34:47.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -1/2 = -10x/-10 strategic 1 OK rf -10x/-10 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:01.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -5 = 6/y strategic 1 ERROR divide Y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -5 = 6/y strategic 2 ERROR divide 6 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:09.0 HINT HINT ES_02b ES_02-9 EG44 -5 = 6/y strategic 3 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:10.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 6/y is 6 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:13.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:17.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -5 = 6/y strategic 4 OK multiply Y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -5y = 6/y*y strategic 1 OK mt 6/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -5y = 6 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:27.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -5y/-5 = 6/-5 strategic 1 OK rf -5y/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:27.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 6/-5 strategic 1 OK rf 6/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = 9/y strategic 1 BUG multiply 9 To remove 9/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 9/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:52.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = 9/y strategic 2 OK multiply Y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y = 9/y*y strategic 1 OK mt 9/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:35:56.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y = 9 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y/-8 = 9/-8 strategic 1 OK rf -8y/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 9/-8 strategic 1 OK rf 9/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:15.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4/y = 5 strategic 1 OK multiply Y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:17.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4/y*y = 5y strategic 1 OK mt 4/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = 5y strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4/5 = 5y/5 strategic 1 OK rf 5y/5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/x = -3 strategic 1 OK multiply X condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:45.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/x*x = -3x strategic 1 OK mt 3/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:48.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3 = -3x strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:52.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/-3 = -3x/-3 strategic 1 OK rf 3/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:36:52.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -1 = -3x/-3 strategic 1 OK rf -3x/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:37:10.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = 6/y strategic 1 OK multiply Y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:37:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9y = 6/y*y strategic 1 OK mt 6/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:37:15.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9y = 6 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:37:18.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9y/-9 = 6/-9 strategic 1 OK rf -9y/-9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:37:18.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 6/-9 strategic 1 OK rf 6/-9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:21.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -7 = 9/x strategic 1 OK multiply X condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:25.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -7x = 9/x*x left 1 OK left -7X condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:28.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -7x = 9/x*x right 1 OK right 9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -7x = 9 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:33.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -7x/-7 = 9/-7 left 1 OK left X condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:46.0 HINT HINT ES_02b ES_02-10 EG44 X = 9/-7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:47.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Type in 9/-7 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 X = 9/-7 right 1 OK right 9/-7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:58.0 HINT HINT ES_02b ES_02-10 EG44 X = 9/-7 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:38:58.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:02.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 X = 9/-7 strategic 3 OK rf 9/-7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:08.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT In the above expression you have 9/-7. Enter the simplified result here. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:09.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE To simplify, divide -7 into 9. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:12.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Type -9/7. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:16.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 2 OK -9/7 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:19.0 HINT HINT ES_02b ES_02-10 EG44 X = -9/7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:25.0 CYCLE CYCLE ES_02b ES_02-10 EG44 X = 9/-7 strategic 4 OK rf 9/-7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:48.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 3 BUG 1.285 1.285
Check the sign of your answer. BUG condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:39:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 4 OK -1.285 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:40:27.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/y = 3 strategic 1 OK multiply Y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:40:35.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/y*y = 3y left 1 OK left 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:40:37.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2 = 3y right 1 OK right 3Y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:40:41.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2 = 3y strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:40:44.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/3 = 3y/3 left 1 OK left 2/3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j14Du session1 2007-02-22 15:40:47.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2/3 = 3y/3 right 1 OK right Y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
j2665 session0 2007-03-27 10:21:21.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -4x+(-6) = -1 strategic 1 OK add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:21:26.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -4x+(-6)+6 = -1+6 strategic 1 OK clt -4x+(-6)+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:21:26.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -4x = -1+6 strategic 1 OK clt -1+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:21:32.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -4x = 5 strategic 1 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:21:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -4x/-4 = 5/-4 strategic 1 OK rf -4x/-4 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:21:39.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = 5/-4 strategic 1 OK rf 5/-4 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:30:17.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1 = 2x+(-8) strategic 1 OK add 8 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:30:24.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -1+8 = 2x+(-8)+8 left 1 OK left 7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:30:28.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7 = 2x+(-8)+8 right 1 OK right 2x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:30:34.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7 = 2x strategic 1 OK divide 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:30:42.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7/2 = 2x/2 left 1 OK left 7/2 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2665 session0 2007-03-27 10:30:45.0 CYCLE CYCLE ES_02c ES_02-6 EG40 7/2 = 2x/2 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
j2w80 session4 2007-03-15 16:47:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9+8y = 3 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:47:25.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9+8y-9 = 3-9 strategic 1 ERROR rds 9+8y-9 = 3-9 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:47:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 9+8y-9 = 3-9 strategic 2 OK clt 9+8y-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:47:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y = 3-9 strategic 1 OK clt 3-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:47:50.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y = -6 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:47:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y/8 = -6/8 strategic 1 OK rf 8y/8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:47:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 y = -6/8 strategic 1 OK rf -6/8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:52:19.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1+(-8y) = -5 strategic 1 OK subtract 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:52:23.0 CYCLE CYCLE ES_02b ES_02-6 EG40 1+(-8y)-1 = -5-1 left 1 OK left -8y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:52:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y = -5-1 right 1 OK right -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:52:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y = -6 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:52:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -8y/-8 = -6/-8 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:52:42.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -6/-8 right 1 OK right -6/-8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:52:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -6/-8 strategic 1 OK rf -6/-8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:53:02.0 CYCLE CYCLE ES_02b ES_02-6 EG40 y = -6/-8 strategic 2 OK rf -6/-8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:53:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row2constant factors strategic 1 OK -2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:53:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 1 BUG -3 -3
Check the sign of your answer. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:53:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-N-constant factors strategic 2 OK 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:53:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 row3-D-constant factors strategic 1 OK 4 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:53:28.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK 3/4 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:56:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = y/5+(-8) strategic 1 OK multiply 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:56:22.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7*5 = (y/5+(-8))*5 strategic 1 OK mt 7*5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:56:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = (y/5+(-8))*5 strategic 1 ERROR mt 35 = (y/5+(-8))*5 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:56:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = (y/5+(-8))*5 strategic 2 OK rds 35 = (y/5+(-8))*5 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:56:48.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = (y/5-8)*5 strategic 1 ERROR rf 35 = (y/5-8)*5 strategic condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:56:53.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = (y/5-8)*5 strategic 2 ERROR mt 35 = (y/5-8)*5 strategic condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = (y/5-8)*5 strategic 3 ERROR rds 35 = (y/5-8)*5 strategic condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = (y/5-8)*5 strategic 4 OK distribute (y/5-8)*5 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = y/5*5-8*5 strategic 1 OK mt 8*5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = y/5*5-40 strategic 1 OK mt y/5*5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35 = y-40 strategic 1 OK add 40 condition 2 [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}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35+40 = y-40+40 strategic 1 ERROR rds 35+40 = y-40+40 strategic condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 35+40 = y-40+40 strategic 2 OK clt 35+40 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 75 = y-40+40 strategic 1 OK clt y-40+40 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 6 = x/5+(-7) strategic 1 OK multiply 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 6*5 = (x/5+(-7))*5 strategic 1 OK mt 6*5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:57:57.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = (x/5+(-7))*5 strategic 1 ERROR mt 30 = (x/5+(-7))*5 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = (x/5+(-7))*5 strategic 2 OK rds 30 = (x/5+(-7))*5 strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:04.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = (x/5-7)*5 strategic 1 ERROR mt 30 = (x/5-7)*5 strategic condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:10.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = (x/5-7)*5 strategic 2 ERROR add 7 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30+7 = (x/5-7)*5+7 strategic 1 ERROR mt 30+7 = (x/5-7)*5+7 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = (x/5-7)*5 strategic 3 OK distribute (x/5-7)*5 condition 2 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:24.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = x/5*5-7*5 strategic 1 OK mt 7*5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = x/5*5-35 strategic 1 OK mt x/5*5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30 = x-35 strategic 1 OK add 35 condition 2 [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}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30+35 = x-35+35 strategic 1 ERROR mt 30+35 = x-35+35 strategic condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 30+35 = x-35+35 strategic 2 OK clt 30+35 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session4 2007-03-15 16:58:55.0 CYCLE CYCLE ES_02b ES_02-7 EG41 65 = x-35+35 strategic 1 OK clt x-35+35 condition 2 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:31:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4 = x/-3+(-1) strategic 1 BUG mt 4 = x/-3+(-1) strategic Simplify the fraction x/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:31:39.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4 = x/-3+(-1) strategic 2 OK multiply -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:31:42.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4*(-3) = (x/-3+(-1))*(-3) left 1 OK left -12 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:31:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 1 ERROR right 3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:31:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 2 ERROR right 1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:31:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 3 ERROR right -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:31:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 4 ERROR right -3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:07.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 5 ERROR right -9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:10.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 6 ERROR right 9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:20.0 HINT HINT ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:20.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in (x/-3+(-1))*(-3) on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:38.0 HINT HINT ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) strategic 2 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:38.0 HINT HINT ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) strategic 3 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:41.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type in (x/-3+(-1))*(-3) on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:32:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 7 ERROR right x/-3+-1*-3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:33:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 8 OK right (x/-3+(-1))*(-3) condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:33:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) strategic 4 BUG unnec-elems -12=(x/-3+(-1))*(-3) Simplify the fraction x/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:34:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4 = x/-3+(-1) strategic 3 OK multiply -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:34:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4*(-3) = (x/-3+(-1))*(-3) left 2 OK left -12 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:34:36.0 HINT HINT ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) strategic 5 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:34:38.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 3 HINT_LEVEL_CHANGE Type in (x/-3+(-1))*(-3) on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:35:32.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) right 9 OK right (x/-3+(-1))*(-3) condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:35:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) strategic 6 BUG unnec-elems -12=(x/-3+(-1))*(-3) Simplify the fraction x/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:35:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -12 = (x/-3+(-1))*(-3) strategic 7 BUG mt -12 = (x/-3+(-1))*(-3) strategic Simplify the fraction x/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:36:28.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4 = x/-3+(-1) strategic 4 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:36:31.0 CYCLE CYCLE ES_02b ES_02-8 EG41 4+1 = x/-3+(-1)+1 left 1 OK left 5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:36:39.0 CYCLE CYCLE ES_02b ES_02-8 EG41 5 = x/-3+(-1)+1 right 1 OK right x/-3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:36:48.0 CYCLE CYCLE ES_02b ES_02-8 EG41 5 = x/-3 strategic 1 OK multiply -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:36:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 5*(-3) = x/-3*(-3) left 1 OK left -15 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:36:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -15 = x/-3*(-3) right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:37:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4 = x/-7+5 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:37:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = x/-7+5-5 left 1 BUG left -1 -1 is equal to 4 minus 5. You need to calculate -4 minus 5. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:37:29.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = x/-7+5-5 left 2 BUG left 1 1 is equal to -4 plus 5. You need to calculate -4 minus 5. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:37:31.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = x/-7+5-5 left 3 BUG left 9 You need to calculate -4 minus 5, not 5 minus -4. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:37:33.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = x/-7+5-5 left 4 OK left -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:37:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9 = x/-7+5-5 right 1 ERROR right x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4 = x/-7+5 strategic 2 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = x/-7+5-5 left 5 OK left -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:12.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9 = x/-7+5-5 right 2 OK right x/-7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9 = x/-7 strategic 1 OK multiply -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9*(-7) = x/-7*(-7) left 1 OK left 63 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:23.0 CYCLE CYCLE ES_02b ES_02-8 EG41 63 = x/-7*(-7) right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-6) = -6 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 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-6)-6 = -6-6 left 1 ERROR left -8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:39:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-6)-6 = -6-6 left 2 BUG left -6 You haven't performed any operations. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:41:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-6) = -6 strategic 2 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8+(-6)+6 = -6+6 left 1 OK left y/-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = -6+6 right 1 OK right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8 = 0 strategic 1 OK multiply -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-8*(-8) = 0*(-8) left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 0*(-8) right 1 OK right 0 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5 = -7+(x/-7) strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+7 = -7+(x/-7)+7 left 1 BUG left -12 -12 is equal to -5 minus 7. You need to calculate -5 plus 7. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+7 = -7+(x/-7)+7 left 2 ERROR left 12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:42:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5+7 = -7+(x/-7)+7 left 3 OK left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:43:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2 = -7+(x/-7)+7 right 1 ERROR right 14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:43:40.0 HINT HINT ES_02b ES_02-8 EG41 2 = -7+(x/-7)+7 strategic 1 INITIAL_HINT condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:43:40.0 HINT HINT ES_02b ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE Type in -7+(x/-7)+7 on the right. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:43:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2 = -7+(x/-7)+7 right 2 OK right x/-7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2 = x/-7 strategic 1 OK multiply -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2*(-7) = x/-7*(-7) left 1 OK left -14 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -14 = x/-7*(-7) right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+x/10 = 7 strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:23.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+x/10+2 = 7+2 left 1 ERROR left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+x/10+2 = 7+2 left 2 ERROR left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:29.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+x/10+2 = 7+2 left 3 ERROR left 20 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:31.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+x/10+2 = 7+2 left 4 ERROR left -20 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+x/10+2 = 7+2 right 1 OK right 9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:42.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+x/10+2 = 9 left 1 OK left x/10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/10 = 9 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/10*10 = 9*10 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:44:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = 9*10 right 1 OK right 90 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8+5 = 6 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:16.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8+5-5 = 6-5 left 1 ERROR left x/5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:18.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8+5-5 = 6-5 left 2 ERROR left 8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:21.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8+5-5 = 6-5 left 3 OK left x/8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:23.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8 = 6-5 right 1 OK right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:28.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8 = 1 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8*8 = 1*8 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:31.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = 1*8 right 1 OK right 8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4 = y/5+(-2) strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:45:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5+(-2)+2 = -4+2 left 1 OK left y/5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:46:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 1 ERROR right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:46:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 2 ERROR right -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:46:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 3 ERROR right 0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:46:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 4 ERROR right -0 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:46:31.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 5 ERROR right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:47:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 6 ERROR right -10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:47:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 7 BUG right y/5 Just add y/5+[-2] to 2. You can simplify in the next step. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:47:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -4+2 right 8 OK right -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:47:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5 = -2 strategic 1 OK multiply 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/5*5 = -2*5 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = -2*5 right 1 OK right -10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -10 = -4+(y/-8) strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -10+4 = -4+(y/-8)+4 left 1 BUG left -14 -14 is equal to -10 minus 4. You need to calculate -10 plus 4. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:24.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -10+4 = -4+(y/-8)+4 left 2 ERROR left 14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -10+4 = -4+(y/-8)+4 left 3 BUG left 6 You forgot the negative sign. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:28.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -10+4 = -4+(y/-8)+4 left 4 OK left -6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6 = -4+(y/-8)+4 right 1 OK right y/-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:50.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6 = y/-8 strategic 1 OK multiply -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6*(-8) = y/-8*(-8) left 1 OK left 48 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:48:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 48 = y/-8*(-8) right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:16.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6 = y/-8+(-1) strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6+1 = y/-8+(-1)+1 left 1 ERROR left 7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:27.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -6+1 = y/-8+(-1)+1 left 2 OK left -5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:31.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5 = y/-8+(-1)+1 right 1 OK right y/-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5 = y/-8 strategic 1 OK multiply -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5*(-8) = y/-8*(-8) left 1 OK left 40 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:39.0 CYCLE CYCLE ES_02b ES_02-8 EG41 40 = y/-8*(-8) right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:49:55.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4+x/9 = 10 strategic 1 OK add 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4+x/9+4 = 10+4 left 1 OK left x/9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/9 = 10+4 right 1 OK right 14 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:17.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/9 = 14 strategic 1 ERROR multiply x condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:23.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/9*x = 14x right 1 OK right 14x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:29.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/9 = 14 strategic 2 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:33.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/9*9 = 14*9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = 14*9 right 1 OK right 126 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:50:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4 = 5+(y/-8) strategic 1 BUG subtract -5 To remove 5 from the right side, you can subtract a positive from it. Erase your last step and subtract 5 from both sides. BUG condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4 = 5+(y/-8) strategic 2 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:04.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = 5+(y/-8)-5 left 1 BUG left -1 -1 is equal to 4 minus 5. You need to calculate -4 minus 5. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:05.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = 5+(y/-8)-5 left 2 BUG left 1 1 is equal to -4 plus 5. You need to calculate -4 minus 5. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:07.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = 5+(y/-8)-5 left 3 BUG left 9 You need to calculate -4 minus 5, not 5 minus -4. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -4-5 = 5+(y/-8)-5 left 4 OK left -9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:13.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9 = 5+(y/-8)-5 right 1 OK right y/-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:16.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9 = y/-8 strategic 1 OK multiply -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:19.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9*(-8) = y/-8*(-8) left 1 OK left 72 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:20.0 CYCLE CYCLE ES_02b ES_02-8 EG41 72 = y/-8*(-8) right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 5 = 7+(x/-8) strategic 1 OK subtract 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:36.0 CYCLE CYCLE ES_02b ES_02-8 EG41 5-7 = 7+(x/-8)-7 left 1 OK left -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2 = 7+(x/-8)-7 right 1 OK right x/-8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2 = x/-8 strategic 1 OK multiply -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:47.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2*(-8) = x/-8*(-8) left 1 OK left 16 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:51:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 16 = x/-8*(-8) right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:52:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+y/10 = -1 strategic 1 OK add 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:52:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2+y/10+2 = -1+2 left 1 OK left y/10 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:52:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/10 = -1+2 right 1 BUG right -1 The result should be positive. BUG condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:52:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/10 = -1+2 right 2 OK right 1 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:52:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/10 = 1 strategic 1 OK multiply 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:52:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/10*10 = 1*10 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:53:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 1*10 right 1 OK right 10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:57:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 1 ERROR multiply -x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session5 2007-03-16 16:57:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 2 BUG multiply -2 To remove -2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -2/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:14:27.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 1 ERROR add 2 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:14:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 2 ERROR subtract 2 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:14:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 3 ERROR add x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:14:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 4 ERROR subtract x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:15:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 5 BUG multiply -2 To remove -2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -2/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:15:40.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 6 ERROR divide -2 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:15:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 7 ERROR multiply 2 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:00.0 HINT HINT ES_02b ES_02-9 EG44 -9*2 = -2/x*2 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:01.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 8 ERROR mt -9 = -2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:23.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 9 ERROR mt -9 = -2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 10 BUG multiply -2 To remove -2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -2/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9*(-2) = -2/x*(-2) strategic 1 ERROR rf -9*(-2) = -2/x*(-2) strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:42.0 HINT HINT ES_02b ES_02-9 EG44 -9*(-2) = -2/x*(-2) strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:44.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 11 ERROR mt -9 = -2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:16:58.0 HINT HINT ES_02b ES_02-9 EG44 -9 = -2/x strategic 12 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:04.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE -2/x is -2 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:07.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9 = -2/x strategic 13 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x = -2/x*x strategic 1 OK add 2 condition 2 [SkillRule: Consolidate vars, any; {Combine variables to right, sub; Combine variables to right, add; Combine variables to right, gen; Combine variables to right; Combine variables to left, add; Combine variables to left, sub; Combine variables to left, gen; ax+b=cx; ax+b=cx, move left; ax+b=cx+d, pos; ax+b=cx+d, neg; ax+b=cx+d, move right; ax+b=cx+d, move two; ax+b=cx+d, move two2; x+b=cx+d, pos; x+b=cx+d, neg; x+b=cx+d, move right; x+b=cx+d, move two; x+b=cx+d, move two2; ax+b=x+d, pos; ax+b=x+d, neg; ax+b=x+d, move right; ax+b=x+d, move two; ax+b=x+d, move two2; x+b=x+d, pos; x+b=x+d, neg; x+b=x+d, move right; x+b=x+d, move two; x+b=x+d, move two2}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:23.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x+2/x*x = -2/x*x+2/x*x strategic 1 ERROR clt -9x+2/x*x = -2/x*x+2/x*x strategic condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x+2/x*x = -2/x*x+2/x*x strategic 2 OK mt 2/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:37.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x+2 = -2/x*x+2/x*x strategic 1 OK mt 2/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x+2 = -2/x*x+2 strategic 1 OK mt -2/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x+2 = -2+2 strategic 1 ERROR mt -9x+2 = -2+2 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:49.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x+2 = -2+2 strategic 2 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x+2-2 = -2+2-2 strategic 1 OK clt -9x+2-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:17:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x = -2+2-2 strategic 1 OK clt -2+2-2 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:18:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x = -2 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:18:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -9x/-9 = -2/-9 strategic 1 OK rf -9x/-9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:18:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 x = -2/-9 strategic 1 OK rf -2/-9 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:18:47.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/y = -1 strategic 1 BUG multiply 10 To remove 10/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 10/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:18:55.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/y = -1 strategic 2 ERROR multiply -10 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:19:01.0 HINT HINT ES_02b ES_02-9 EG44 10/y = -1 strategic 3 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:19:02.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 10/y is 10 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:19:05.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:19:11.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/y = -1 strategic 4 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:19:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/y*y = -1y strategic 1 OK mt 10/y*y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:19:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10 = -1y strategic 1 OK mt -1y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:19:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10 = -y strategic 1 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 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:20:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10 = -y strategic 2 ERROR divide y condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:20:56.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10 = -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 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:21:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10 = -y strategic 4 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:21:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10/-1 = -y/-1 strategic 1 OK rf 10/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:21:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -10 = -y/-1 strategic 1 OK rf -y/-1 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:22:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = -7/x strategic 1 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 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:24:45.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = -7/x strategic 2 ERROR divide -x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:24:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = -7/x strategic 3 ERROR divide x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:25:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = -7/x strategic 4 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:25:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5x = -7/x*x strategic 1 OK mt -7/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:25:11.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5x = -7 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:25:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5x/5 = -7/5 strategic 1 OK rf 5x/5 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:26:18.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10 = 2/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:26:21.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10x = 2/x*x strategic 1 OK mt 2/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:26:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10x = 2 strategic 1 OK divide 10 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:26:29.0 CYCLE CYCLE ES_02b ES_02-9 EG44 10x/10 = 2/10 strategic 1 OK rf 10x/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:26:29.0 CYCLE CYCLE ES_02b ES_02-9 EG44 x = 2/10 strategic 1 OK rf 2/10 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:26:55.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = 5/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:26:57.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y = 5/y*y strategic 1 OK mt 5/y*y condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:01.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y = 5 strategic 1 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y/-8 = 5/-8 strategic 1 OK rf -8y/-8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:05.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 5/-8 strategic 1 OK rf 5/-8 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7 = 6/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:35.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7x = 6/x*x strategic 1 OK mt 6/x*x condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7x = 6 strategic 1 OK divide -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:42.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7x/-7 = 6/-7 strategic 1 OK rf -7x/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:27:42.0 CYCLE CYCLE ES_02b ES_02-9 EG44 x = 6/-7 strategic 1 OK rf 6/-7 condition 2 goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:29:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -8/y = 2 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:29:55.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -8/y*y = 2y left 1 OK left -8 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:29:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -8 = 2y right 1 OK right 2y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:30:02.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -8 = 2y strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:30:04.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -8/2 = 2y/2 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:30:08.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -8/2 = y left 1 OK left -4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:30:30.0 CYCLE CYCLE ES_02b ES_02-10 EG44 7 = -4/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:30:33.0 CYCLE CYCLE ES_02b ES_02-10 EG44 7y = -4/y*y right 1 OK right -4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:30:36.0 CYCLE CYCLE ES_02b ES_02-10 EG44 7y = -4 left 1 OK left 7y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:31:10.0 CYCLE CYCLE ES_02b ES_02-10 EG44 7y = -4 strategic 1 OK divide 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:31:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 7y/7 = -4/7 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
j2w80 session6 2007-03-20 16:31:14.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = -4/7 right 1 OK right -4/7 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--7--es02b
k0v2K session0 2007-02-21 17:38:16.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6 = 2y+8 strategic 1 ERROR add 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:40:30.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6 = 2y+8 strategic 2 OK subtract 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:40:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -6-8 = 2y+8-8 strategic 1 OK clt -6-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:40:56.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 2y+8-8 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 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:41:07.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 2y+8-8 strategic 2 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 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:41:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 2y+8-8 strategic 3 BUG subtract 8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:41:37.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14-8 = 2y+8-8-8 strategic 1 BUG subtract 8 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:41:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14-8 = 2y+8-8-8 strategic 2 OK clt -14-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:41:46.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -22 = 2y+8-8-8 strategic 1 OK clt 2y+8-8-8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:41:57.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -22 = 2y-8 strategic 1 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:42:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -22+8 = 2y-8+8 strategic 1 OK clt -22+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:42:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 2y-8+8 strategic 1 OK clt 2y-8+8 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:42:14.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 2y strategic 1 OK divide 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:43:18.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14 = 2y strategic 2 OK divide 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:43:22.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14/2 = 2y/2 strategic 1 BUG clt -14/2 = 2y/2 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:43:37.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14/2 = 2y/2 strategic 2 BUG distribute -14/2 = 2y/2 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:46:25.0 HINT HINT ES_02orig ES_02-5 EG40 -14/2 = 2y/2 strategic 3 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:46:38.0 HINT HINT ES_02orig ES_02-5 EG40 -14/2 = 2y/2 strategic 4 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:46:40.0 HINT HINT ES_02orig ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:46:47.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -14/2 = 2y/2 strategic 5 OK rf -14/2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:46:47.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7 = 2y/2 strategic 1 OK rf 2y/2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:47:16.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3+(-8x) = 6 strategic 1 ERROR distribute -3+(-8x) = 6 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:47:20.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3+(-8x) = 6 strategic 2 OK rds -3+(-8x) = 6 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:47:27.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x = 6 strategic 1 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:47:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x+3 = 6+3 strategic 1 ERROR rf -3-8x+3 = 6+3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:47:40.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x+3 = 6+3 strategic 2 ERROR distribute -3-8x+3 = 6+3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:47:52.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x+3 = 6+3 strategic 3 ERROR mt -3-8x+3 = 6+3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:48:08.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x = 6 strategic 2 OK add 3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:48:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x+3 = 6+3 strategic 4 ERROR rds -3-8x+3 = 6+3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:50:50.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x+3 = 6+3 strategic 5 ERROR mt -3-8x+3 = 6+3 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:50:54.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3-8x+3 = 6+3 strategic 6 OK clt -3-8x+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:50:54.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8x = 6+3 strategic 1 OK clt 6+3 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:51:02.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8x = 9 strategic 1 OK divide -8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:51:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8x/-8 = 9/-8 strategic 1 BUG distribute -8x/-8 = 9/-8 strategic Simplify fractions on both sides of the equation. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:51:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -8x/-8 = 9/-8 strategic 2 OK rf -8x/-8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:51:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 x = 9/-8 strategic 1 OK rf 9/-8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:52:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = -10x+(-4) strategic 1 ERROR add 1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:52:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = -10x+(-4) strategic 2 ERROR distribute -1 = -10x+(-4) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:52:57.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = -10x+(-4) strategic 3 ERROR rf -1 = -10x+(-4) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:53:01.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = -10x+(-4) strategic 4 OK rds -1 = -10x+(-4) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:53:11.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1 = -10x-4 strategic 1 OK add 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:54:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1+4 = -10x-4+4 strategic 1 OK clt -1+4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:54:24.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = -10x-4+4 strategic 1 OK clt -10x-4+4 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:54:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = -10x strategic 1 ERROR divide -103 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:54:37.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3 = -10x strategic 2 OK divide -10 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:54:45.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 3/-10 = -10x/-10 strategic 1 OK rf 3/-10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:54:45.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -3/10 = -10x/-10 strategic 1 OK rf -10x/-10 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:14.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y+(-4) = 6 strategic 1 ERROR distribute -6y+(-4) = 6 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:19.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y+(-4) = 6 strategic 2 OK rds -6y+(-4) = 6 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:23.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y-4 = 6 strategic 1 OK add 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:27.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y-4+4 = 6+4 left 1 OK left -6y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:29.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y = 6+4 right 1 OK right 10 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:33.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y = 10 strategic 1 OK divide -6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:35.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -6y/-6 = 10/-6 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:55:59.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 10/-6 right 1 ERROR right -1.6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:56:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = 10/-6 right 2 OK right -1.666 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session0 2007-02-21 17:56:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7+5 = -3 strategic 1 OK subtract 5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:02.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7+5-5 = -3-5 strategic 1 ERROR rf x/7+5-5 = -3-5 strategic condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7+5-5 = -3-5 strategic 2 OK clt x/7+5-5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = -3-5 strategic 1 OK clt -3-5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:20.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = -8 strategic 1 BUG divide 7 To remove the coefficient of x/7, you need to divide by 1/7 or multiply by 7. BUG condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = -8 strategic 2 ERROR divide 1.7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = -8 strategic 3 ERROR divide 1.7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:41.0 HINT HINT ES_02orig ES_02-7 EG41 (x/7)/1.7 = -8/1.7 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = -8 strategic 4 ERROR rf x/7 = -8 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = -8 strategic 5 ERROR rds x/7 = -8 strategic condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:26:58.0 HINT HINT ES_02orig ES_02-7 EG41 x/7 = -8 strategic 6 INITIAL_HINT condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:00.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE In x/7, x is divided by 7. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:04.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by 7. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:10.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7 = -8 strategic 7 OK multiply 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:14.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7*7 = -8*7 strategic 1 ERROR clt x/7*7 = -8*7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7*7 = -8*7 strategic 2 ERROR rds x/7*7 = -8*7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:20.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7*7 = -8*7 strategic 3 ERROR rf x/7*7 = -8*7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:24.0 HINT HINT ES_02orig ES_02-7 EG41 x/7*7 = -8*7 strategic 4 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:25.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:31.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/7*7 = -8*7 strategic 5 OK mt x/7*7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:35.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = -8*7 strategic 1 OK mt -8*7 condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:27:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4 = x/-7+1 strategic 1 OK subtract 1 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 4-1 = x/-7+1-1 strategic 1 OK clt 4-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:16.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = x/-7+1-1 strategic 1 OK clt x/-7+1-1 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:20.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = x/-7 strategic 1 BUG mt 3 = x/-7 strategic Simplify the fraction x/-7. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:25.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = x/-7 strategic 2 OK rf x/-7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = -x/7 strategic 1 ERROR mt 3 = -x/7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:31.0 HINT HINT ES_02orig ES_02-7 EG41 3 = -x/7 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:32.0 HINT HINT ES_02orig ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE In -x/7, x is multiplied by -1/7. How do you change the -1/7 into a 1? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:47.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = -x/7 strategic 3 BUG multiply 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3 = -x/7 strategic 4 OK multiply 7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:28:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3*7 = -x/7*7 strategic 1 ERROR clt 3*7 = -x/7*7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:03.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3*7 = -x/7*7 strategic 2 ERROR rf 3*7 = -x/7*7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:06.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3*7 = -x/7*7 strategic 3 ERROR rds 3*7 = -x/7*7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 3*7 = -x/7*7 strategic 4 OK mt 3*7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:15.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 21 = -x/7*7 strategic 1 OK mt -x/7*7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:21.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 21 = -7x/7 strategic 1 BUG divide 7 Simplify the fraction -7x/7. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:29.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 21 = -7x/7 strategic 2 BUG mt 21 = -7x/7 strategic Simplify the fraction -7x/7. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:33.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 21 = -7x/7 strategic 3 OK rf -7x/7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:46.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 21 = -7x/7 strategic 4 OK rf -7x/7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:29:56.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 21 = -x strategic 1 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 21/-1 = -x/-1 strategic 1 OK rf 21/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -21 = -x/-1 strategic 1 OK rf -x/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:20.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 1 = y/-4+(-5) strategic 1 OK rds 1 = y/-4+(-5) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 1 = y/-4-5 strategic 1 OK add 5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 1+5 = y/-4-5+5 strategic 1 OK clt 1+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = y/-4-5+5 strategic 1 OK clt y/-4-5+5 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:34.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = y/-4 strategic 1 OK rf y/-4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:43.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/4 strategic 1 ERROR clt 6 = -y/4 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:48.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6 = -y/4 strategic 2 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6*4 = -y/4*4 strategic 1 ERROR clt 6*4 = -y/4*4 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 6*4 = -y/4*4 strategic 2 OK mt 6*4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:30:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 24 = -y/4*4 strategic 1 OK mt -y/4*4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:31:01.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 24 = -4y/4 strategic 1 OK rf -4y/4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:31:08.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 24 = -y strategic 1 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:31:14.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 24/-1 = -y/-1 strategic 1 OK rf 24/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:31:14.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -24 = -y/-1 strategic 1 OK rf -y/-1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:31:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = -5+(x/-4) strategic 1 BUG distribute 0 = -5+(x/-4) strategic Simplify the fraction x/-4. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:31:53.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = -5+(x/-4) strategic 2 OK rf x/-4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:31:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = -5+(x/-4) strategic 3 BUG rds 0 = -5+(x/-4) strategic Simplify the fraction x/-4. BUG condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = -5+(x/-4) strategic 4 OK rf x/-4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 ERROR -1.4 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:10.0 HINT HINT ES_02orig ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT -1.4 In the above expression you have x/-4. Enter the simplified result here. HINT 1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:13.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 1 HINT_LEVEL_CHANGE To simplify, divide -4 into x. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:16.0 HINT HINT ES_02orig ES_02-8 EG41 null strategic 2 HINT_LEVEL_CHANGE Type -x/4. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:24.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 3 ERROR -x.4 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:29.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 4 OK -x/4 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0 = -5+(-x/4) strategic 1 OK add 5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:37.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 0+5 = -5+(-x/4)+5 left 1 OK left 5 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:46.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 5 = -5+(-x/4)+5 right 1 OK right -x/4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:49.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 5 = -x/4 strategic 1 ERROR rf 5 = -x/4 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 5 = -x/4 strategic 2 OK multiply 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:32:57.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 5*4 = -x/4*4 left 1 OK left 20 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:33:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 20 = -x/4*4 right 1 OK right -x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:33:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 20 = -x strategic 1 ERROR divide x condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:33:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 20 = -x strategic 2 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:33:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 20/-1 = -x/-1 left 1 OK left -20 condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:33:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -20 = -x/-1 right 1 OK right x condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:33:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -9 = y/5+(-8) strategic 1 OK rds -9 = y/5+(-8) strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -9 = y/5-8 strategic 1 OK add 8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -9+8 = y/5-8+8 left 1 OK left -1 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -1 = y/5-8+8 right 1 OK right y/5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:13.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -1 = y/5 strategic 1 OK multiply 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -1*5 = y/5*5 left 1 OK left -5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:20.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -5 = y/5*5 right 1 BUG right y/5 You haven't performed any operations. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:28.0 HINT HINT ES_02orig ES_02-8 EG41 -5 = y/5*5 strategic 1 INITIAL_HINT condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -5 = y/5*5 right 2 ERROR right 5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -5 = y/5*5 right 3 ERROR right -5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -5 = y/5*5 right 4 BUG right y/5 You haven't performed any operations. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:34:57.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -5 = y/5*5 right 5 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7+(x/-8) = -4 strategic 1 OK rf x/-8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:23.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 FinalAnswer strategic 1 OK -x/8 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:28.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7+(-x/8) = -4 strategic 1 ERROR add 4 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:36.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7+(-x/8) = -4 strategic 2 OK subtract 7 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:41.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 7+(-x/8)-7 = -4-7 left 1 OK left -x/8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/8 = -4-7 right 1 OK right -11 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/8 = -11 strategic 1 OK multiply 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:35:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/8*8 = -11*8 left 1 OK left -x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -11*8 right 1 ERROR right -883 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:05.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -11*8 right 2 OK right -88 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:09.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x = -88 strategic 1 OK divide -1 condition 4 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:11.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -x/-1 = -88/-1 left 1 OK left x condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:16.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = -88/-1 right 1 OK right 88 condition 4 [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/5+(-2) = -7 strategic 1 ERROR rf y/5+(-2) = -7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/5+(-2) = -7 strategic 2 OK rds y/5+(-2) = -7 strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:39.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/5-2 = -7 strategic 1 OK add 2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:44.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/5-2+2 = -7+2 left 1 OK left y/5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/5 = -7+2 right 1 OK right -5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:56.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/5 = -5 strategic 1 OK multiply 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:36:58.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/5*5 = -5*5 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:00.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = -5*5 right 1 OK right -25 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:22.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3 = -6/y strategic 1 BUG multiply 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:29.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3 = -6/y strategic 2 BUG multiply -6 To remove -6/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -6/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:40.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3 = -6/y strategic 3 ERROR multiply -6/y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:46.0 HINT HINT ES_02orig ES_02-9 EG44 3 = -6/y strategic 4 INITIAL_HINT condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:47.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -6/y is -6 divided by y. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:52.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:37:58.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3 = -6/y strategic 5 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:12.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3y = -6/y*y strategic 1 OK divide 3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:16.0 HINT HINT ES_02orig ES_02-9 EG44 3y/3 = -6/y*y/3 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:20.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3y/3 = -6/y*y/3 strategic 2 OK rf 3y/3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:29.0 HINT HINT ES_02orig ES_02-9 EG44 y = -6/y*y/3 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:30.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:40.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3y/3 = -6/y*y/3 strategic 3 OK mt -6/y*y condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:47.0 HINT HINT ES_02orig ES_02-9 EG44 3y/3 = -6/3 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:50.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:55.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 3y/3 = -6/3 strategic 2 OK rf 3y/3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:38:55.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 y = -6/3 strategic 1 OK rf -6/3 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:11.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8 = 8/y strategic 1 BUG multiply 8 To remove 8/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 8/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:19.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8 = 8/y strategic 2 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:29.0 HINT HINT ES_02orig ES_02-9 EG44 8y = 8/y*y strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:30.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:32.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8y = 8/y*y strategic 2 OK mt 8/y*y condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:36.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8y = 8 strategic 1 OK divide 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:39.0 HINT HINT ES_02orig ES_02-9 EG44 8y/8 = 8/8 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:40.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:44.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 8y/8 = 8/8 strategic 2 OK rf 8y/8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:39:44.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 y = 8/8 strategic 1 OK rf 8/8 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:41:02.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9 = 8/y strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:41:04.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9y = 8/y*y strategic 1 OK mt 8/y*y condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:41:15.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9y = 8 strategic 1 OK divide 9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:41:17.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 9y/9 = 8/9 strategic 1 OK rf 9y/9 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:41:39.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/x = 6 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:41:57.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/x*x = 6x strategic 1 OK mt 5/x*x condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:00.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5 = 6x strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:03.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/6 = 6x/6 strategic 1 OK rf 6x/6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:30.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6 = -7/y strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:36.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6y = -7/y*y strategic 1 ERROR rf -6y = -7/y*y strategic condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:47.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6y = -7/y*y strategic 2 OK mt -7/y*y condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:52.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6y = -7 strategic 1 OK divide -6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:56.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -6y/-6 = -7/-6 strategic 1 OK rf -6y/-6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:42:56.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 y = -7/-6 strategic 1 OK rf -7/-6 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:43:21.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2 = 5/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:43:27.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2x = 5/x*x left 1 OK left -2x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:43:33.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2x = 5/x*x right 1 BUG right 5/x You haven't performed any operations. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:43:37.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2x = 5/x*x right 2 ERROR right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:43:40.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2x = 5/x*x right 3 OK right 5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:43:44.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2x = 5 strategic 1 OK divide -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:43:48.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2x/-2 = 5/-2 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:13.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 x = 5/-2 right 1 OK right -2.5 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:30.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2/y = -1 strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:36.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2/y*y = -1y left 1 OK left 2 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:39.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2 = -1y right 1 OK right -1y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:44.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2 = -1y strategic 1 OK divide -1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:47.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2/-1 = -1y/-1 left 1 ERROR left -1 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:57.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 2/-1 = -1y/-1 left 2 OK left -2 condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
k0v2K session1 2007-02-22 15:44:59.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -2 = -1y/-1 right 1 OK right y condition 4 goldenvalleyselfexplanation-27051 171eqynE--6--es02or
kN54U session0 2007-02-21 17:34:35.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y+4 = 9 strategic 1 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:35:15.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y+4-4 = 9-4 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:36:02.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (8y+4-4)/8 = (9-4)/8 strategic 1 ERROR rds (8y+4-4)/8 = (9-4)/8 strategic condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:36:06.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (8y+4-4)/8 = (9-4)/8 strategic 2 ERROR rf (8y+4-4)/8 = (9-4)/8 strategic condition 2 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:36:11.0 CYCLE CYCLE ES_02b ES_02-5 EG40 (8y+4-4)/8 = (9-4)/8 strategic 3 OK distribute (8y+4-4)/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:36:11.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y/8+4/8-4/8 = (9-4)/8 strategic 1 OK distribute (9-4)/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:38:15.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y+4 = 9 strategic 2 OK subtract 4 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:38:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y+4-4 = 9-4 strategic 2 ERROR rds 8y+4-4 = 9-4 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:38:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y+4-4 = 9-4 strategic 3 OK clt 8y+4-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:38:33.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y = 9-4 strategic 1 OK clt 9-4 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:38:36.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y = 5 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:38:45.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8y/8 = 5/8 strategic 1 OK rf 8y/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:42:16.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8+2x = -5 strategic 1 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:42:29.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8+2x = -5 strategic 2 OK subtract 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:42:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 8+2x-8 = -5-8 left 1 OK left 2x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:42:41.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2x = -5-8 right 1 OK right -13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:42:45.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2x = -13 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:42:47.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2x/2 = -13/2 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:42:57.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -13/2 right 1 ERROR right 6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:43:01.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -13/2 right 2 ERROR right 6.1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:43:17.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = -13/2 right 3 OK right -6.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3 = 5+(x/-2) strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3-5 = 5+(x/-2)-5 strategic 1 OK rf x/-2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3-5 = 5+(-x/2)-5 strategic 1 OK rds -3-5 = 5+(-x/2)-5 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -3-5 = 5+(-x/2)-5 strategic 2 OK clt -3-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:23.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8 = 5+(-x/2)-5 strategic 1 OK clt 5+(-x/2)-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8 = -x/2 strategic 1 OK multiply 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8*2 = -x/2*2 strategic 1 ERROR rf -8*2 = -x/2*2 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8*2 = -x/2*2 strategic 2 ERROR rds -8*2 = -x/2*2 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -8*2 = -x/2*2 strategic 3 OK mt -8*2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:46:50.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -x/2*2 strategic 1 OK mt -x/2*2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:47:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -2x/2 strategic 1 OK rf -2x/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:47:17.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -x strategic 1 ERROR divide x condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:47:24.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -x strategic 2 ERROR distribute -16 = -x strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:47:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -x strategic 3 ERROR rds -16 = -x strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:47:41.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -x strategic 4 ERROR divide x condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16 = -x strategic 5 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -16/-1 = -x/-1 strategic 1 OK rf -16/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:20.0 CYCLE CYCLE ES_02b ES_02-7 EG41 16 = -x/-1 strategic 1 OK rf -x/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10 = x/7+9 strategic 1 OK subtract 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10-9 = x/7+9-9 strategic 1 ERROR rds 10-9 = x/7+9-9 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 10-9 = x/7+9-9 strategic 2 OK clt 10-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1 = x/7+9-9 strategic 1 OK clt x/7+9-9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:48:59.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1 = x/7 strategic 1 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:49:02.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1*7 = x/7*7 strategic 1 ERROR rds 1*7 = x/7*7 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:49:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1*7 = x/7*7 strategic 2 ERROR rf 1*7 = x/7*7 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:49:15.0 CYCLE CYCLE ES_02b ES_02-7 EG41 1*7 = x/7*7 strategic 3 OK mt 1*7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:49:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 7 = x/7*7 strategic 1 OK mt x/7*7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:51:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2+x/8 = -10 strategic 1 OK subtract 2 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:51:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 2+x/8-2 = -10-2 left 1 OK left x/8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:51:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8 = -10-2 right 1 OK right -12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:51:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8 = -12 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:51:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/8*8 = -12*8 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:52:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = -12*8 right 1 OK right -96 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:52:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9 = -7+y/3 strategic 1 OK add 7 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:52:29.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9+7 = -7+y/3+7 left 1 OK left -2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:52:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2 = -7+y/3+7 right 1 OK right y/3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:52:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2 = y/3 strategic 1 OK multiply 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:52:43.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2*3 = y/3*3 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:52:45.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -2*3 = y left 1 OK left -6 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:55:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 1 ERROR multiply 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:55:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 2 BUG multiply -4 To remove -4/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -4/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:56:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 3 ERROR multiply 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:56:08.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 4 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:56:28.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 5 ERROR multiply 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:56:32.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 6 BUG multiply -4 To remove -4/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -4/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:56:44.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 7 ERROR add 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:56:48.0 HINT HINT ES_02b ES_02-9 EG44 8 = -4/y strategic 8 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:57:16.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -4/y is -4 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:57:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 9 ERROR multiply 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:57:31.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 10 BUG multiply -4 To remove -4/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -4/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:57:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 11 ERROR multiply -4/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:58:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 12 ERROR multiply 4/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session0 2007-02-21 17:58:11.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 13 ERROR multiply y/4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:18:23.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 1 ERROR multiply 4 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:18:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 2 ERROR multiply 4/1 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:14.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 3 ERROR multiply 4/y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:24.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 4 BUG multiply 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:28.0 HINT HINT ES_02b ES_02-9 EG44 8 = -4/y strategic 5 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:33.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -4/y is -4 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:37.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:43.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = -4/y strategic 6 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y = -4/y*y strategic 1 OK mt -4/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:19:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y = -4 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:20:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y/8 = -4/8 strategic 1 OK rf 8y/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:20:00.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = -4/8 strategic 1 OK rf -4/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:20:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8/x = -4 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:20:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8/x*x = -4x strategic 1 ERROR rf -8/x*x = -4x strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:03.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8/x*x = -4x strategic 2 OK mt -8/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -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 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -4x strategic 2 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8/-4 = -4x/-4 strategic 1 OK rf -8/-4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2 = -4x/-4 strategic 1 OK rf -4x/-4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/y = -3 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:42.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/y*y = -3y strategic 1 OK mt -4/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4 = -3y strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/-3 = -3y/-3 strategic 1 OK rf -4/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:21:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4/3 = -3y/-3 strategic 1 OK rf -3y/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:22:57.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9/x = 2 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:01.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9/x*x = 2x left 1 OK left 9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9 = 2x right 1 OK right 2x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:09.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9 = 2x strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:19.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9/2 = 2x/2 left 1 OK left 4.5 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:21.0 CYCLE CYCLE ES_02b ES_02-10 EG44 4.5 = 2x/2 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:38.0 CYCLE CYCLE ES_02b ES_02-10 EG44 10/y = -5 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:41.0 CYCLE CYCLE ES_02b ES_02-10 EG44 10/y*y = -5y left 1 OK left 10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:43.0 CYCLE CYCLE ES_02b ES_02-10 EG44 10 = -5y right 1 OK right -5y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:47.0 CYCLE CYCLE ES_02b ES_02-10 EG44 10 = -5y strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:56.0 CYCLE CYCLE ES_02b ES_02-10 EG44 10/-5 = -5y/-5 left 1 OK left -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
kN54U session1 2007-02-22 15:23:58.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -2 = -5y/-5 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session0 2007-02-21 17:55:04.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2 = -5y+(-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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session0 2007-02-21 17:55:18.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2 = -5y+(-5) strategic 2 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session0 2007-02-21 17:55:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 2+5 = -5y+(-5)+5 strategic 1 OK clt 2+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session0 2007-02-21 17:55:40.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7 = -5y+(-5)+5 strategic 1 OK clt -5y+(-5)+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session0 2007-02-21 17:55:49.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7 = -5y strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session0 2007-02-21 17:56:14.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7/-5 = -5y/-5 strategic 1 OK rf -5y/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session0 2007-02-21 17:56:21.0 CYCLE CYCLE ES_02b ES_02-5 EG40 7/-5 = y strategic 1 OK rf 7/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:23:33.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10 = -6+3x strategic 1 ERROR add 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:23:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10 = -6+3x strategic 2 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:24:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10/3 = (-6+3x)/3 left 1 ERROR left 3.3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:24:06.0 HINT HINT ES_02b ES_02-6 EG40 -10/3 = (-6+3x)/3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:24:08.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in -10/3 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:24:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (-6+3x)/3 = -10/3 right 1 OK right -10/3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:24:16.0 HINT HINT ES_02b ES_02-6 EG40 (-6+3x)/3 = -10/3 strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:24:18.0 HINT HINT ES_02b ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Type in (-6+3x)/3 on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:24:38.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (-6+3x)/3 = -10/3 left 1 OK left (-6+3x)/3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:25:10.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (-6+3x)/3 = -10/3 strategic 2 ERROR rf (-6+3x)/3 = -10/3 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:25:14.0 CYCLE CYCLE ES_02b ES_02-6 EG40 (-6+3x)/3 = -10/3 strategic 3 ERROR rds (-6+3x)/3 = -10/3 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:26:30.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10 = -6+3x strategic 3 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:26:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -10+6 = -6+3x+6 left 1 OK left -4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:26:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4 = -6+3x+6 right 1 OK right 3x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:26:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4 = 3x strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:26:53.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4/3 = 3x/3 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:27:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -4/3 = x left 1 OK left -4/3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:27:44.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6 = -3y+(-8) strategic 1 ERROR add 6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:27:49.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6 = -3y+(-8) strategic 2 OK add 8 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:27:54.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -6+8 = -3y+(-8)+8 left 1 OK left 2 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:27:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = -3y+(-8)+8 right 1 OK right -3y condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:28:03.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = -3y strategic 1 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 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:28:08.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2 = -3y strategic 2 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:28:11.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-3 = -3y/-3 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:28:17.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-3 = y left 1 OK left 2/-3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:28:21.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-3 = y strategic 1 BUG rds 2/-3 = y strategic Simplify the fraction 2/-3. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:28:26.0 CYCLE CYCLE ES_02b ES_02-6 EG40 2/-3 = y strategic 2 OK rf 2/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:28:34.0 CYCLE CYCLE ES_02b ES_02-6 EG40 FinalAnswer strategic 1 OK - 2/3 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:29:09.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6x+5 = 9 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:29:13.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6x+5-5 = 9-5 right 1 OK right 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:29:18.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6x+5-5 = 4 left 1 OK left 6x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:29:22.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6x = 4 strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:29:27.0 CYCLE CYCLE ES_02b ES_02-6 EG40 6x/6 = 4/6 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:29:35.0 CYCLE CYCLE ES_02b ES_02-6 EG40 x = 4/6 right 1 OK right 2/3 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:31:51.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = x/8+(-6) strategic 1 OK add 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:32:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2+6 = x/8+(-6)+6 strategic 1 OK clt 2+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:32:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = x/8+(-6)+6 strategic 1 OK clt x/8+(-6)+6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:32:33.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = x/8 strategic 1 OK multiply 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:32:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8*8 = x/8*8 strategic 1 OK mt 8*8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:32:44.0 CYCLE CYCLE ES_02b ES_02-7 EG41 64 = x/8*8 strategic 1 OK mt x/8*8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:38:29.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = -9+(y/-3) strategic 1 OK rf y/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:38:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5 = -9+(-y/3) strategic 1 OK add 9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:38:46.0 CYCLE CYCLE ES_02b ES_02-7 EG41 5+9 = -9+(-y/3)+9 strategic 1 OK clt 5+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:38:46.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14 = -9+(-y/3)+9 strategic 1 OK clt -9+(-y/3)+9 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:39:07.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14 = -y/3 strategic 1 ERROR divide 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:39:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14 = -y/3 strategic 2 BUG divide -3 To remove the coefficient of -y/3, you need to divide by -1/3 or multiply by -3/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:39:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14 = -y/3 strategic 3 ERROR mt 14 = -y/3 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:39:39.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14 = -y/3 strategic 4 ERROR clt 14 = -y/3 strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:41:42.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14 = -y/3 strategic 5 OK multiply 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:41:49.0 CYCLE CYCLE ES_02b ES_02-7 EG41 14*3 = -y/3*3 strategic 1 OK mt 14*3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session1 2007-02-22 15:41:49.0 CYCLE CYCLE ES_02b ES_02-7 EG41 42 = -y/3*3 strategic 1 OK mt -y/3*3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:54:36.0 HINT HINT ES_02b ES_02-7 EG41 42 = -3y/3 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:54:43.0 CYCLE CYCLE ES_02b ES_02-7 EG41 42 = -3y/3 strategic 2 OK rf -3y/3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:55:00.0 CYCLE CYCLE ES_02b ES_02-7 EG41 42 = -y strategic 1 ERROR rds 42 = -y strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:56:03.0 CYCLE CYCLE ES_02b ES_02-7 EG41 42 = -y strategic 2 ERROR mt 42 = -y strategic condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:56:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 42 = -y strategic 3 OK multiply -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:56:28.0 CYCLE CYCLE ES_02b ES_02-7 EG41 42*(-1) = -y*(-1) strategic 1 ERROR rds 42*(-1) = -y*(-1) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:56:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 42*(-1) = -y*(-1) strategic 2 OK mt 42*(-1) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session2 2007-02-28 17:56:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -42 = -y*(-1) strategic 1 OK mt -y*(-1) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:43:06.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-5) = -8 strategic 1 BUG add -5 To remove -5 from the left side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:43:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-5) = -8 strategic 2 BUG divide 7 To remove the coefficient of y/7, you need to divide by 1/7 or multiply by 7. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:43:30.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-5) = -8 strategic 3 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:43:37.0 CYCLE CYCLE ES_02b ES_02-7 EG41 (y/7+(-5))*7 = -8*7 strategic 1 OK mt -8*7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:49:13.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-5) = -8 strategic 4 BUG add -5 To remove -5 from the left side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:49:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-5) = -8 strategic 5 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:49:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7+(-5)+5 = -8+5 strategic 1 OK clt y/7+(-5)+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:49:27.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = -8+5 strategic 1 OK clt -8+5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:49:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7 = -3 strategic 1 OK multiply 7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:49:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y/7*7 = -3*7 strategic 1 OK mt y/7*7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:49:40.0 CYCLE CYCLE ES_02b ES_02-7 EG41 y = -3*7 strategic 1 OK mt -3*7 condition 2 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:51:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6+(x/-6) = -7 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:52:00.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6+(x/-6)-6 = -7-6 left 1 ERROR left -x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:52:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6+(x/-6)-6 = -7-6 left 2 ERROR left x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:52:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6+(x/-6)-6 = -7-6 right 1 OK right -13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:52:27.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6+(x/-6)-6 = -13 left 1 OK left x/-6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:52:37.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/-6 = -13 strategic 1 BUG divide -6 To remove the coefficient of x/-6, you need to divide by 1/-6 or multiply by -6. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:52:44.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/-6 = -13 strategic 2 BUG divide 6 Simplify the fraction x/-6. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:52:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/-6 = -13 strategic 3 OK rf x/-6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:53:02.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK -x/6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:53:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/6 = -13 strategic 1 ERROR divide 6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:53:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/6 = -13 strategic 2 BUG divide -6 To remove the coefficient of -x/6, you need to divide by -1/6 or multiply by -6/1. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:53:31.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/6 = -13 strategic 3 OK divide -1/6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:53:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 (-x/6)/(-1/6) = -13/(-1/6) left 1 OK left x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:56:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6+(x/-6) = -7 strategic 2 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:56:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 6+(x/-6)-6 = -7-6 left 3 OK left -x/6 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:57:06.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/6 = -7-6 right 1 OK right -13 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:57:13.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/6 = -13 strategic 4 OK multiply 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:57:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/6 = -13 strategic 5 OK multiply -6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:57:28.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -x/6*(-6/1) = -13*(-6/1) left 1 OK left x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:57:41.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = -13*(-6/1) right 1 OK right -13*-6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:57:51.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = -13*(-6) strategic 1 OK mt -13*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:57:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 2 ERROR 87 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session3 2007-03-07 17:58:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 3 OK 78 condition 2 perform-mult-row2-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:09:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5 = y/9+10 strategic 1 OK subtract 10 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:09:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -5-10 = y/9+10-10 left 1 OK left -15 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:09:18.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -15 = y/9+10-10 right 1 OK right y/9 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:09:30.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -15 = y/9 strategic 1 OK multiply 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:09:35.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -15*9 = y/9*9 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:09:53.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -15*9 = y left 1 ERROR left -1358 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:09:57.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -15*9 = y left 2 OK left -135 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:10:22.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+(y/-2) = 10 strategic 1 OK rf y/-2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:10:34.0 CYCLE CYCLE ES_02b ES_02-8 EG41 FinalAnswer strategic 1 OK - y/2 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:10:49.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+(-y/2) = 10 strategic 1 OK add 7 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:10:52.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+(-y/2)+7 = 10+7 right 1 OK right 17 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:10:58.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -7+(-y/2)+7 = 17 left 1 OK left - y/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:11:12.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/2 = 17 strategic 1 OK multiply -2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:11:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -y/2*(-2/1) = 17*(-2/1) left 1 OK left y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:11:29.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y = 17*(-2/1) right 1 OK right -34 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:11:54.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5+(-1) = -9 strategic 1 OK add 1 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:11:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5+(-1)+1 = -9+1 right 1 OK right -8 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:12:03.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5+(-1)+1 = -8 left 1 OK left x/5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:12:09.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5 = -8 strategic 1 OK multiply 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:12:11.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x/5*5 = -8*5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:12:14.0 CYCLE CYCLE ES_02b ES_02-8 EG41 x = -8*5 right 1 OK right -40 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:16:17.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -4/y strategic 1 ERROR multiply -1 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:16:21.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -4/y strategic 2 ERROR multiply 1 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:16:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8*1 = -4/y*1 strategic 1 OK unnec-elems -8*1=-4/y*1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:08.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -4/y strategic 3 BUG multiply -8 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -4/y strategic 4 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 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:32.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -4/y strategic 5 BUG multiply -4 To remove -4/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -4/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:40.0 HINT HINT ES_02b ES_02-9 EG44 -8 = -4/y strategic 6 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:41.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -4/y is -4 divided by y. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:46.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:52.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8 = -4/y strategic 7 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:58.0 HINT HINT ES_02b ES_02-9 EG44 -8y = -4/y*y strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:17:59.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:18:02.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y = -4/y*y strategic 2 OK mt -4/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:18:10.0 HINT HINT ES_02b ES_02-9 EG44 -8y = -4 strategic 1 INITIAL_HINT condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:18:11.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE -8y is -8 times y. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:18:14.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 5 HINT_LEVEL_CHANGE Divide both sides by -8. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:18:21.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y = -4 strategic 2 OK divide -8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:18:33.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -8y/-8 = -4/-8 strategic 1 OK rf -8y/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:18:34.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = -4/-8 strategic 1 OK rf -4/-8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 9/y strategic 1 BUG multiply 9 To remove 9/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 9/y. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3 = 9/y strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:28.0 HINT HINT ES_02b ES_02-9 EG44 -3y = 9/y*y strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:32.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y = 9/y*y strategic 2 ERROR rf -3y = 9/y*y strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:35.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y = 9/y*y strategic 3 ERROR rds -3y = 9/y*y strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:40.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:44.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y = 9/y*y strategic 4 OK mt 9/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y = 9 strategic 1 OK divide -3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:54.0 HINT HINT ES_02b ES_02-9 EG44 -3y/-3 = 9/-3 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:55.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:19:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y/-3 = 9/-3 strategic 2 BUG rds -3y/-3 = 9/-3 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:20:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -3y/-3 = 9/-3 strategic 3 OK rf -3y/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:20:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 y = 9/-3 strategic 1 OK rf 9/-3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:21:02.0 CYCLE CYCLE ES_02b ES_02-9 EG44 6/x = -1 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:21:06.0 HINT HINT ES_02b ES_02-9 EG44 6/x*x = -1x strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:21:07.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:21:10.0 CYCLE CYCLE ES_02b ES_02-9 EG44 6/x*x = -1x strategic 2 OK mt 6/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session4 2007-03-08 15:21:11.0 CYCLE CYCLE ES_02b ES_02-9 EG44 6 = -1x strategic 1 OK mt -1x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:42:40.0 HINT HINT ES_02b ES_02-9 EG44 6 = -x strategic 1 INITIAL_HINT condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:42:41.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE -x is -1 times x. How do you undo multiplication? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:42:54.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Divide both sides by -1. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:43:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 6 = -x strategic 2 OK divide -1 condition 2 [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, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:43:24.0 HINT HINT ES_02b ES_02-9 EG44 6/-1 = -x/-1 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:43:25.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE Move the negative signs out of the denominator. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:43:32.0 CYCLE CYCLE ES_02b ES_02-9 EG44 6/-1 = -x/-1 strategic 2 OK rf 6/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:43:32.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -6 = -x/-1 strategic 1 OK rf -x/-1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:44:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/x = 2 strategic 1 ERROR divide x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:44:49.0 HINT HINT ES_02b ES_02-9 EG44 (3/x)/x = 2/x strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:44:51.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:44:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 (3/x)/x = 2/x strategic 2 OK rf (3/x)/x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:01.0 HINT HINT ES_02b ES_02-9 EG44 3/x = 2 strategic 2 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:02.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE 3/x is 3 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:15.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/x = 2 strategic 3 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:31.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/x*x = 2x strategic 1 OK mt 3/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:38.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3 = 2x strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:41.0 HINT HINT ES_02b ES_02-9 EG44 3/2 = 2x/2 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:43.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:45:50.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/2 = 2x/2 strategic 2 OK rf 2x/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:46:40.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2/x = -5 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:46:45.0 HINT HINT ES_02b ES_02-9 EG44 2/x*x = -5x strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:46:47.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:46:49.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2/x*x = -5x strategic 2 OK mt 2/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:46:54.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2 = -5x strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:46:58.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2/-5 = -5x/-5 strategic 1 BUG rds 2/-5 = -5x/-5 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:47:01.0 HINT HINT ES_02b ES_02-9 EG44 2/-5 = -5x/-5 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session5 2007-03-08 15:47:03.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:45:05.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2/-5 = -5x/-5 strategic 1 BUG mt 2/-5 = -5x/-5 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:45:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 2/-5 = -5x/-5 strategic 2 OK rf 2/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:45:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2/5 = -5x/-5 strategic 1 OK rf -5x/-5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 1 ERROR rf 5 = 2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:13.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 2 ERROR clt 5 = 2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 3 ERROR rf 5 = 2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:19.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 4 ERROR rds 5 = 2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 5 ERROR distribute 5 = 2/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:42.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 6 ERROR divide 2 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:47.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 7 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:46:55.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 8 ERROR divide x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 9 BUG multiply 2 To remove 2/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 2/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:16.0 HINT HINT ES_02b ES_02-9 EG44 5 = 2/x strategic 10 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:16.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 2/x is 2 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:21.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5 = 2/x strategic 11 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:29.0 HINT HINT ES_02b ES_02-9 EG44 5x = 2/x*x strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:30.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:32.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5x = 2/x*x strategic 2 OK mt 2/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:39.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5x = 2 strategic 1 OK divide 5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:42.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5x/5 = 2/5 strategic 1 BUG mt 5x/5 = 2/5 strategic Simplify the fraction 5x/5. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:48.0 HINT HINT ES_02b ES_02-9 EG44 5x/5 = 2/5 strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:50.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:47:53.0 CYCLE CYCLE ES_02b ES_02-9 EG44 5x/5 = 2/5 strategic 3 OK rf 5x/5 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:48:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/y = 1 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:48:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3/y*y = 1y strategic 1 OK mt 3/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:48:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3 = 1y strategic 1 OK mt 1y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:48:29.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -5/x strategic 1 ERROR rf 4 = -5/x strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:48:40.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -5/x strategic 2 ERROR multiply -5-x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:48:46.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -5/x strategic 3 ERROR multiply -x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:48:56.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -5/x strategic 4 ERROR multiply 5 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:02.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -5/x strategic 5 BUG multiply -5 To remove -5/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -5/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:06.0 HINT HINT ES_02b ES_02-9 EG44 4 = -5/x strategic 6 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:07.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -5/x is -5 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:11.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4 = -5/x strategic 7 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:21.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x = -5/x*x strategic 1 OK mt -5/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x = -5 strategic 1 OK divide 4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:28.0 HINT HINT ES_02b ES_02-9 EG44 4x/4 = -5/4 strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:29.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:49:35.0 CYCLE CYCLE ES_02b ES_02-9 EG44 4x/4 = -5/4 strategic 2 OK rf 4x/4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:50:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/x = 2 strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:50:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/x*x = 2x strategic 1 OK mt -4/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:50:20.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4 = 2x strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:50:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/2 = 2x/2 strategic 1 BUG mt -4/2 = 2x/2 strategic Simplify fractions on both sides of the equation. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:50:31.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -4/2 = 2x/2 strategic 2 OK rf -4/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:50:31.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -2 = 2x/2 strategic 1 OK rf 2x/2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:51:02.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3 = -7/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:51:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3x = -7/x*x strategic 1 OK mt -7/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:51:20.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3x = -7 strategic 1 OK divide 3 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:51:25.0 CYCLE CYCLE ES_02b ES_02-9 EG44 3x/3 = -7/3 strategic 1 OK rf 3x/3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:53:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y = 6 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:53:47.0 HINT HINT ES_02b ES_02-10 EG44 -6/y*y = 6y strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:53:50.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Type in -6/y*y on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y left 1 OK left -6/y*y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:17.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y right 1 BUG right 6 You haven't performed any operations. BUG condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:20.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y right 2 ERROR right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y right 3 OK right 6y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:32.0 HINT HINT ES_02b ES_02-10 EG44 -6/y*y = 6y strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:33.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:35.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y strategic 3 OK mt -6/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:50.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-num-node strategic 1 ERROR 6y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:51.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:58.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-den-node strategic 2 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:54:58.0 HINT HINT ES_02b ES_02-10 EG44 pm-r-num-node strategic 2 INITIAL_HINT 6y You need to multiply the numerators together. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:05.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE What is -6 times y? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:14.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-num-node strategic 3 OK -6y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:21.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Type -6y. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:27.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 ERROR -6y condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:35.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y strategic 4 OK mt -6/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:42.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-num-node strategic 4 OK -6y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:44.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-den-node strategic 3 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:46.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT Simplify the above fraction. HINT 1 condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:55:49.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Type -6y/y. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 3 OK - 6y/y condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:06.0 HINT HINT ES_02b ES_02-10 EG44 -6y/y = 6y strategic 1 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:07.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6y/y = 6y strategic 2 OK rf -6y/y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:30.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-constant factors strategic 1 OK -6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:33.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-y strategic 1 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:34.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR 1/[y] condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:36.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-y strategic 1 OK 1/[y] condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:56:45.0 HINT HINT ES_02b ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT Because there are no constant factors in the denominator of -6y/y, you must double-click in order to enter a 1. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:57:00.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 2 BUG -6 -6
Perhaps you should fill in the denominator of the constant factors above. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:57:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2y strategic 1 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:57:08.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-y strategic 1 ERROR y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:57:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 1 BUG y y
Perhaps you should fill in the denominator of the constant factors above. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:57:13.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-y strategic 1 ERROR y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:57:15.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 1 BUG y y
Perhaps you should fill in the denominator of the constant factors above. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session6 2007-03-14 16:57:37.0 HINT HINT ES_02b ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session7 2007-03-15 14:16:54.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Before working on this answer, perhaps try filling in the answers above. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session7 2007-03-15 14:16:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6y/y = 6y strategic 1 OK rf -6y/y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session7 2007-03-15 14:17:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-y strategic 1 ERROR y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session7 2007-03-15 14:17:09.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-constant factors strategic 1 OK -6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session7 2007-03-15 14:17:14.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-y strategic 1 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session7 2007-03-15 14:17:16.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR 1/[y] condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session7 2007-03-15 14:17:17.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-y strategic 2 OK 1/[y] condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:40:06.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Before working on this answer, perhaps try filling in the answers above. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:40:18.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6y/y = 6y strategic 1 OK rf -6y/y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:40:32.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y = 6 strategic 1 ERROR rf -6/y = 6 strategic condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:40:40.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y = 6 strategic 2 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:40:45.0 HINT HINT ES_02b ES_02-10 EG44 -6/y*y = 6y strategic 1 INITIAL_HINT condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:40:51.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Type in -6/y*y on the left. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:41:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y left 1 OK left -6/y*y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:41:11.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y right 1 OK right 6y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:41:24.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/y*y = 6y strategic 2 OK mt -6/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:41:35.0 HINT HINT ES_02b ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:41:46.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-num-node strategic 2 OK -6*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:41:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-den-node strategic 1 ERROR -y*1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:41:58.0 CYCLE CYCLE ES_02b ES_02-10 EG44 pm-r-den-node strategic 2 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 1 OK -6y/y condition 2 perform-mult-r-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:08.0 HINT HINT ES_02b ES_02-10 EG44 -6y/y = 6y strategic 2 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:09.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:13.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6y/y = 6y strategic 3 OK rf -6y/y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:29.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:36.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-constant factors strategic 2 OK -6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:37.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-N-y strategic 1 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:51.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR 1/[y] condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:42:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-y strategic 1 OK 1/[y] condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:43:02.0 HINT HINT ES_02b ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT Because there are no constant factors in the denominator of -6y/y, you must double-click in order to enter a 1. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:43:13.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:43:41.0 HINT HINT ES_02b 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:43:48.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row2y strategic 2 OK y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:43:53.0 CYCLE CYCLE ES_02b 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:43:58.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-constant factors strategic 2 OK -6 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:43:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-y strategic 1 ERROR y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:44:02.0 HINT HINT ES_02b ES_02-10 EG44 row3-N-y strategic 2 INITIAL_HINT y 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:44:11.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:44:21.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, y, by y, the common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:44:39.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:44:42.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-N-y strategic 3 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:44:47.0 HINT HINT ES_02b ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:02.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 2 BUG y y
Perhaps you should fill in the denominator of the constant factors above. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:03.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-y strategic 1 ERROR y condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:17.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:23.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-constant factors strategic 3 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:30.0 HINT HINT ES_02b ES_02-10 EG44 row3-D-y strategic 2 INITIAL_HINT y 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 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:31.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 7 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:32.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 8 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, y, by y, the common factor. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:33.0 HINT HINT ES_02b ES_02-10 EG44 null strategic 9 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:38.0 CYCLE CYCLE ES_02b ES_02-10 EG44 row3-D-y strategic 3 OK 1 condition 2 goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:52.0 CYCLE CYCLE ES_02b ES_02-10 EG44 FinalAnswer strategic 2 OK -6 condition 2 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:45:59.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6 = 6y strategic 1 OK divide 6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:46:05.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -6/6 = 6y/6 left 1 OK left -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:46:06.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -1 = 6y/6 right 1 OK right y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:46:42.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -5 = 10/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:46:46.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -5x = 10/x*x left 1 OK left -5x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:46:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -5x = 10/x*x right 1 OK right 10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:46:58.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -5x = 10 strategic 1 OK divide -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:47:01.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -5x/-5 = 10/-5 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:47:04.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 10/-5 right 1 OK right -2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:48:15.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2 = 4/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:48:24.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2y = 4/y*y left 1 OK left 2y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:48:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2y = 4/y*y right 1 ERROR right 4y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:48:45.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2y = 4/y*y right 2 OK right 4 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:48:50.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2y = 4 strategic 1 OK divide 2 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:48:53.0 CYCLE CYCLE ES_02b ES_02-10 EG44 2y/2 = 4/2 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
n8U03 session8 2007-03-21 15:48:54.0 CYCLE CYCLE ES_02b ES_02-10 EG44 y = 4/2 right 1 OK right 2 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02b
s6cH5 session0 2007-03-27 09:55:44.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7y+(-2) = 9 strategic 1 ERROR clt -7y+(-2) = 9 strategic condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:56:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7y+(-2) = 9 strategic 2 OK subtract -2 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:56:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7y+(-2)-(-2) = 9-(-2) strategic 1 OK clt -7y+(-2)-(-2) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:56:13.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7y = 9-(-2) strategic 1 OK clt 9-(-2) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:56:23.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7y = 11 strategic 1 OK divide -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:56:48.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -7y/-7 = 11/-7 strategic 1 OK rf -7y/-7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:56:48.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 y = 11/-7 strategic 1 OK rf 11/-7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:57:18.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 9+(-3y) = -2 strategic 1 OK subtract 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:57:32.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 9+(-3y)-9 = -2-9 left 1 OK left -3y condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:57:35.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3y = -2-9 right 1 OK right -11 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:57:43.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3y = -11 strategic 1 OK divide -3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:57:48.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -3y/-3 = -11/-3 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:57:56.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = -11/-3 right 1 OK right -11/-3 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:58:01.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = -11/-3 strategic 1 OK rf -11/-3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:58:13.0 HINT HINT ES_02orig ES_02-6 EG40 y = -11/-3 strategic 2 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:58:14.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:58:15.0 HINT HINT ES_02orig ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 09:58:33.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = -11/-3 strategic 3 OK rf -11/-3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:04:20.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 y = -11/-3 strategic 4 OK rf -11/-3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:04:26.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 FinalAnswer strategic 1 OK 11/3 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:05:20.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -7+(x/-2) strategic 1 BUG subtract -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:05:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -7+(x/-2) strategic 2 OK multiply -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:05:40.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -7+(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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:05:59.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2 = -7+(x/-2) strategic 4 OK subtract -7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:06:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -2-(-7) = -7+(x/-2)-(-7) strategic 1 OK clt -2-(-7) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:06:09.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = -7+(x/-2)-(-7) strategic 1 OK clt -7+(x/-2)-(-7) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:06:32.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = x/-2 strategic 1 BUG divide -2/1 To remove the coefficient of x/-2, you need to divide by 1/-2 or multiply by -2. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:06:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = x/-2 strategic 2 BUG divide -2 To remove the coefficient of x/-2, you need to divide by 1/-2 or multiply by -2. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:06:53.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5 = x/-2 strategic 3 OK multiply -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:06:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 5*(-2) = x/-2*(-2) strategic 1 OK mt 5*(-2) condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:06:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -10 = x/-2*(-2) strategic 1 OK mt x/-2*(-2) condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:07:24.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-4+(-8) = 10 strategic 1 OK subtract -8 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:07:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-4+(-8)-(-8) = 10-(-8) strategic 1 OK clt x/-4+(-8)-(-8) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:07:30.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-4 = 10-(-8) strategic 1 OK clt 10-(-8) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:07:36.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-4 = 18 strategic 1 OK multiply -4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:07:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x/-4*(-4) = 18*(-4) strategic 1 OK mt x/-4*(-4) condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:07:39.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 x = 18*(-4) strategic 1 OK mt 18*(-4) condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:08:03.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -5+(y/-6) = -6 strategic 1 OK subtract -5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:08:11.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -5+(y/-6)-(-5) = -6-(-5) left 1 OK left y/-6 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:08:17.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-6 = -6-(-5) right 1 OK right -1 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:08:34.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-6 = -1 strategic 1 BUG multiply -1 Focus on the side of the equation with the variable. The variable is on the left side. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:08:43.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-6 = -1 strategic 2 OK multiply -6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:08:51.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-6*(-6) = -1*(-6) left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:08:52.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y = -1*(-6) right 1 OK right 6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:09:15.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -7+x/5 = -1 strategic 1 OK subtract -7 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:09:22.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -7+x/5-(-7) = -1-(-7) left 1 OK left x/5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:09:26.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/5 = -1-(-7) right 1 OK right 6 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:09:32.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/5 = 6 strategic 1 OK multiply 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:09:38.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x/5*5 = 6*5 left 1 OK left x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:09:39.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 x = 6*5 right 1 OK right 30 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:09:56.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/y = 4 strategic 1 BUG multiply 5 To remove 5/y from the denominator you need to multiply. Erase your last step and then multiply both sides by 5/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:10:12.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/y = 4 strategic 2 ERROR multiply 5/y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:10:15.0 HINT HINT ES_02orig ES_02-9 EG44 5/y = 4 strategic 3 INITIAL_HINT condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:10:20.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 5/y is 5 divided by y. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:10:40.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:10:46.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/y = 4 strategic 4 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:11:35.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/y*y = 4y strategic 1 OK mt 5/y*y condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:11:44.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5 = 4y strategic 1 OK divide 4 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:11:50.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 5/4 = 4y/4 strategic 1 OK rf 4y/4 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:12:14.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5 = 5/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:12:17.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5x = 5/x*x strategic 1 OK mt 5/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:12:23.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5x = 5 strategic 1 OK divide -5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:12:27.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -5x/-5 = 5/-5 strategic 1 OK rf -5x/-5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:12:27.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 x = 5/-5 strategic 1 OK rf 5/-5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:13:54.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -7/x = 2 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:13:57.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -7/x*x = 2x strategic 1 OK mt -7/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:02.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -7 = 2x strategic 1 OK divide 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:04.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -7/2 = 2x/2 strategic 1 OK rf 2x/2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:22.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 6/y = 6 strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:29.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 6/y*y = 6y left 1 OK left 6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:31.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 6 = 6y right 1 OK right 6y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:38.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 6 = 6y strategic 1 OK divide 6 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:43.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 6/6 = 6y/6 left 1 OK left 1 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:14:45.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 1 = 6y/6 right 1 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:15:01.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/x = -9 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:15:04.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/x*x = -9x left 1 OK left 3 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:15:08.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3 = -9x right 1 OK right -9x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:15:19.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3 = -9x strategic 1 OK divide -9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:15:37.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 3/-9 = -9x/-9 left 1 OK left -1/3 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
s6cH5 session0 2007-03-27 10:15:42.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -1/3 = -9x/-9 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02or
sFs7K session0 2007-03-27 10:05:27.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10y+(-9) = 0 strategic 1 OK add 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:05:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10y+(-9)+9 = 0+9 strategic 1 OK clt -10y+(-9)+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:05:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10y = 0+9 strategic 1 OK clt 0+9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:05:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10y = 9 strategic 1 OK divide -10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:05:52.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10y/-10 = 9/-10 strategic 1 OK rf 9/-10 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:06:00.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -10y/-10 = -9/10 strategic 1 OK rf -10y/-10 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:13:02.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9x+7 = -2 strategic 1 OK subtract 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:13:09.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9x+7-7 = -2-7 left 1 OK left -9x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:13:14.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9x = -2-7 right 1 OK right -9 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:13:18.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9x = -9 strategic 1 OK divide -9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:13:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -9x/-9 = -9/-9 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:13:23.0 CYCLE CYCLE ES_02c ES_02-6 EG40 x = -9/-9 right 1 OK right 1 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:15:34.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = y/-3+(-10) strategic 1 OK add 10 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:15:41.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4+10 = y/-3+(-10)+10 strategic 1 OK clt 4+10 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:15:41.0 CYCLE CYCLE ES_02c ES_02-7 EG41 14 = y/-3+(-10)+10 strategic 1 OK clt y/-3+(-10)+10 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:15:47.0 CYCLE CYCLE ES_02c ES_02-7 EG41 14 = y/-3 strategic 1 OK multiply -3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:15:53.0 CYCLE CYCLE ES_02c ES_02-7 EG41 14*(-3) = y/-3*(-3) strategic 1 OK mt 14*(-3) condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:15:53.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -42 = y/-3*(-3) strategic 1 OK mt y/-3*(-3) condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:16:10.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2 = x/6+(-1) strategic 1 OK add 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:16:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -2+1 = x/6+(-1)+1 strategic 1 OK clt -2+1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:16:14.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -1 = x/6+(-1)+1 strategic 1 OK clt x/6+(-1)+1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:16:19.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -1 = x/6 strategic 1 OK multiply 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:16:22.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -1*6 = x/6*6 strategic 1 OK mt -1*6 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:16:22.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -6 = x/6*6 strategic 1 OK mt x/6*6 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:18:04.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-8+(-7) = 0 strategic 1 OK add 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:18:16.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-8+(-7)+7 = 0+7 left 1 OK left x/-8 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:18:19.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-8 = 0+7 right 1 OK right 7 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:18:27.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-8 = 7 strategic 1 OK multiply -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:18:31.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-8*(-8) = 7*(-8) left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:18:38.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x = 7*(-8) right 1 OK right -56 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:18:59.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/4+9 = 9 strategic 1 OK subtract 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:19:04.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/4+9-9 = 9-9 left 1 OK left x/4 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:19:05.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/4 = 9-9 right 1 OK right 0 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:19:09.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/4 = 0 strategic 1 OK multiply 4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:19:12.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/4*4 = 0*4 left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:19:15.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x = 0*4 right 1 OK right 0 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:20:49.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/x = 9 strategic 1 BUG multiply -7 To remove -7/x from the denominator you need to multiply. Erase your last step and then multiply both sides by -7/x. BUG condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:20:58.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/x = 9 strategic 2 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:02.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/x*x = 9x strategic 1 OK mt -7/x*x condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:07.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7 = 9x strategic 1 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:12.0 HINT HINT ES_02c ES_02-9 EG44 -7 = 9x strategic 2 INITIAL_HINT condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:15.0 HINT HINT ES_02c ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 9x is 9 times x. How do you undo multiplication? HINT 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:22.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7 = 9x strategic 3 OK divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:27.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/9 = 9x/9 strategic 1 OK rf 9x/9 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:44.0 CYCLE CYCLE ES_02c ES_02-9 EG44 10/y = -8 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:45.0 CYCLE CYCLE ES_02c ES_02-9 EG44 10/y*y = -8y strategic 1 OK mt 10/y*y condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:49.0 CYCLE CYCLE ES_02c ES_02-9 EG44 10 = -8y strategic 1 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:54.0 CYCLE CYCLE ES_02c ES_02-9 EG44 10/-8 = -8y/-8 strategic 1 OK rf 10/-8 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:21:54.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -5/4 = -8y/-8 strategic 1 OK rf -8y/-8 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:22:08.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/y = 8 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:22:11.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/y*y = 8y strategic 1 OK mt -7/y*y condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:22:15.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7 = 8y strategic 1 OK divide 8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:22:17.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -7/8 = 8y/8 strategic 1 OK rf 8y/8 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -6 = -6/y strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:08.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -6y = -6/y*y left 1 OK left -6y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:10.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -6y = -6/y*y right 1 BUG right 6 You are multiplying a negative by a positive. The result should be negative. BUG condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -6y = -6/y*y right 2 OK right -6 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:19.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -6y = -6 strategic 1 OK divide -6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:21.0 CYCLE CYCLE ES_02c ES_02-10 EG44 -6y/-6 = -6/-6 left 1 OK left y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:23.0 CYCLE CYCLE ES_02c ES_02-10 EG44 y = -6/-6 right 1 OK right 1 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:40.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2/y = -10 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:42.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2/y*y = -10y left 1 OK left 2 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:44.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2 = -10y right 1 OK right -10y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:52.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2 = -10y strategic 1 OK divide -10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:54.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2/-10 = -10y/-10 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:26:58.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2/-10 = y left 1 OK left 2/-10 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:01.0 CYCLE CYCLE ES_02c ES_02-10 EG44 2/-10 = y strategic 1 OK rf 2/-10 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:05.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 1 BUG 2 2
The most appropriate common factor results in a negative numerator and positive denominator. BUG condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:10.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 2 ERROR 5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 3 ERROR 1 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:13.0 HINT HINT ES_02c ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT 1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:16.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator 2 and denominator -10? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:20.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE -2 will go into both 2 and -10 and is the most appropriate common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:24.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row2constant factors strategic 5 OK -2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:26.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:29.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR -10 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:35.0 HINT HINT ES_02c ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT -10 The common factor between the numerator and denominator of [2]/[-10] is -2. This set of entry boxes represent the simplified form of [2]/[-10]. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:36.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:38.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, 2, by -2, the common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:42.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 5 HINT_LEVEL_CHANGE Type -1. HINT 4 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:45.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-N-constant factors strategic 4 OK -1 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:48.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:51.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 2 ERROR -21 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:53.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 3 ERROR -2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:53.0 HINT HINT ES_02c ES_02-10 EG44 row3-D-constant factors strategic 4 INITIAL_HINT -2 The common factor between the numerator and denominator of [2]/[-10] is -2. This set of entry boxes represent the simplified form of [2]/[-10]. HINT 1 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:55.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 6 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:57.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 7 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -10, by -2, the common factor. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:27:59.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 8 HINT_LEVEL_CHANGE Type 5. HINT 4 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:28:03.0 CYCLE CYCLE ES_02c ES_02-10 EG44 row3-D-constant factors strategic 5 OK 5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:28:04.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 1 ERROR 5 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:28:08.0 HINT HINT ES_02c ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT 5 In the above expression you have 2/-10. Enter the simplified result here. HINT 1 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:28:10.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 9 HINT_LEVEL_CHANGE To simplify, divide -10 into 2. HINT 2 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:28:12.0 HINT HINT ES_02c ES_02-10 EG44 null strategic 10 HINT_LEVEL_CHANGE Type -1/5. HINT 3 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
sFs7K session0 2007-03-27 10:28:16.0 CYCLE CYCLE ES_02c ES_02-10 EG44 FinalAnswer strategic 3 OK -1/5 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--2--es02c
t0bfD session0 2007-03-26 10:17:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 9x+2 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:17:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-2 = 9x+2-2 strategic 1 OK clt -6-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:17:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 9x+2-2 strategic 1 OK clt 9x+2-2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:17:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 9x strategic 1 OK divide 9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:17:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8/9 = 9x/9 strategic 1 OK rf 9x/9 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:23:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 5y+2 strategic 1 OK subtract 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:23:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-2 = 5y+2-2 right 1 OK right 5y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:23:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-2 = 5y left 1 OK left 1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:23:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = 5y strategic 1 OK divide 5 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:23:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/5 = 5y/5 right 1 OK right y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:23:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/5 = y left 1 OK left .2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:27:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+x/7 = -2 strategic 1 ERROR distribute -10+x/7 = -2 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:27:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+x/7 = -2 strategic 2 OK multiply 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:27:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-10+x/7)*7 = -2*7 strategic 1 ERROR clt (-10+x/7)*7 = -2*7 strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:28:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-10+x/7)*7 = -2*7 strategic 2 OK mt -2*7 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:28:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-10+x/7)*7 = -14 strategic 1 ERROR mt (-10+x/7)*7 = -14 strategic condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:28:41.0 HINT HINT ES_02 ES_02-7 EG41 (-10+x/7)*7 = -14 strategic 2 INITIAL_HINT condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:28:42.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Distribute on the left side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:28:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-10+x/7)*7 = -14 strategic 3 OK distribute (-10+x/7)*7 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:28:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10*7+x/7*7 = -14 strategic 1 OK mt -10*7 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:29:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -70+x/7*7 = -14 strategic 1 OK mt x/7*7 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:29:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -70+x = -14 strategic 1 ERROR subtract 1 condition 1 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:29:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -70+x = -14 strategic 2 OK add 70 condition 1 [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}] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:30:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -70+x+70 = -14+70 strategic 1 OK clt -70+x+70 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:30:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -14+70 strategic 1 OK clt -14+70 condition 1 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:30:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 6+(y/-4) strategic 1 BUG distribute -3 = 6+(y/-4) strategic Simplify the fraction y/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:30:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 6+(y/-4) strategic 2 OK rf y/-4 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:30:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 6+(y/-4) strategic 3 BUG rds -3 = 6+(y/-4) strategic Simplify the fraction y/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:30:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 6+(y/-4) strategic 4 OK rf y/-4 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:30:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 6+(-y/4) strategic 1 ERROR distribute -3 = 6+(-y/4) strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:31:00.0 HINT HINT ES_02 ES_02-7 EG41 -3 = 6+(-y/4) strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:31:01.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:31:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 6+(-y/4) strategic 3 OK rds -3 = 6+(-y/4) strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:31:14.0 HINT HINT ES_02 ES_02-7 EG41 -3 = 6-y/4 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:31:14.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE 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 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0bfD session0 2007-03-26 10:31:18.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE You can subtract 6 from both sides of the equation to eliminate the constant value of 6 (6 - 6 = 0). HINT 3 condition 1 goldenvalleyselfexplanation-27051 171p6r92--3--es02
t0nAA session0 2007-02-20 15:33:10.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x+5 = -9 strategic 1 OK subtract 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:33:28.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x+5-5 = -9-5 strategic 1 ERROR distribute 8x+5-5 = -9-5 strategic condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:33:36.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x+5-5 = -9-5 strategic 2 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:35:19.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x+5-5 = -9-5 strategic 3 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:37:46.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x+5-5 = -9-5 strategic 4 OK clt 8x+5-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:37:47.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x = -9-5 strategic 1 OK clt -9-5 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:37:55.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x = -14 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:38:11.0 CYCLE CYCLE ES_02b ES_02-5 EG40 8x/8 = -14/8 strategic 1 OK rf 8x/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:38:12.0 CYCLE CYCLE ES_02b ES_02-5 EG40 x = -14/8 strategic 1 OK rf -14/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:41:24.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1 = -4x+(-5) strategic 1 ERROR distribute -1 = -4x+(-5) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:41:40.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1 = -4x+(-5) strategic 2 OK add 5 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:41:48.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+5 = -4x+(-5)+5 right 1 OK right -4x condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:41:50.0 CYCLE CYCLE ES_02b ES_02-6 EG40 -1+5 = -4x left 1 OK left 4 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:41:59.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4 = -4x strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:42:04.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-4 = -4x/-4 right 1 OK right x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session0 2007-02-20 15:42:07.0 CYCLE CYCLE ES_02b ES_02-6 EG40 4/-4 = x left 1 OK left -1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:34:45.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9+6 = 4 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:34:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9+6-6 = 4-6 strategic 1 OK clt x/-9+6-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:34:54.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9 = 4-6 strategic 1 OK clt 4-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:35:05.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9 = -2 strategic 1 OK multiply -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:35:08.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9*(-9) = -2*(-9) strategic 1 ERROR clt x/-9*(-9) = -2*(-9) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:35:12.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9*(-9) = -2*(-9) strategic 2 ERROR distribute x/-9*(-9) = -2*(-9) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:35:16.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9*(-9) = -2*(-9) strategic 3 ERROR rds x/-9*(-9) = -2*(-9) strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:35:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x/-9*(-9) = -2*(-9) strategic 4 OK rf x/-9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:35:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -x/9*(-9) = -2*(-9) strategic 1 OK mt -x/9*(-9) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:35:34.0 CYCLE CYCLE ES_02b ES_02-7 EG41 x = -2*(-9) strategic 1 OK mt -2*(-9) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:36:19.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8 = x/-6+6 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:36:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 8-6 = x/-6+6-6 strategic 1 OK clt 8-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:36:26.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = x/-6+6-6 strategic 1 OK clt x/-6+6-6 condition 2 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:36:31.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2 = x/-6 strategic 1 OK multiply -6 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:36:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 2*(-6) = x/-6*(-6) strategic 1 OK mt 2*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session1 2007-02-21 15:36:38.0 CYCLE CYCLE ES_02b ES_02-7 EG41 -12 = x/-6*(-6) strategic 1 OK mt x/-6*(-6) condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:21:59.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9+(y/-5) = -6 strategic 1 OK add 9 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:22:12.0 CYCLE CYCLE ES_02b ES_02-8 EG41 -9+(y/-5)+9 = -6+9 left 1 OK left y/-5 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:22:18.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-5 = -6+9 right 1 OK right 3 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:22:26.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-5 = 3 strategic 1 OK multiply -5 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:22:40.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-5*(-5) = 3*(-5) right 1 OK right -15 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:22:46.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-5*(-5) = -15 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:23:56.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-7+6 = -6 strategic 1 OK subtract 6 condition 2 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:24:01.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-7+6-6 = -6-6 right 1 OK right -12 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:24:08.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-7+6-6 = -12 left 1 OK left y/-7 condition 2 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:24:15.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-7 = -12 strategic 1 OK multiply -7 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:24:25.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-7*(-7) = -12*(-7) right 1 OK right 84 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:24:27.0 CYCLE CYCLE ES_02b ES_02-8 EG41 y/-7*(-7) = 84 left 1 OK left y condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:38:30.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x = -4 strategic 1 BUG multiply 7 To remove 7/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:38:44.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x = -4 strategic 2 ERROR divide 7 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:39:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x = -4 strategic 3 ERROR multiply x/7 condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:39:51.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x = -4 strategic 4 BUG multiply 7 To remove 7/x from the denominator you need to multiply. Erase your last step and then multiply both sides by 7/x. BUG condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:40:09.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x = -4 strategic 5 ERROR multiply 7/x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:40:21.0 HINT HINT ES_02b ES_02-9 EG44 7/x = -4 strategic 6 INITIAL_HINT condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:40:25.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE 7/x is 7 divided by x. How do you undo division? HINT 2 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:40:29.0 HINT HINT ES_02b ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by x. HINT 3 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:40:37.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x = -4 strategic 7 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:41:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x*x = -4x strategic 1 ERROR rf 7/x*x = -4x strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:41:45.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x*x = -4x strategic 2 BUG divide -4 Put the expression in its simplest form by performing multiplication on the left side. BUG condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:41:50.0 HINT HINT ES_02b ES_02-9 EG44 7/x*x = -4x strategic 3 INITIAL_HINT condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:42:07.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x*x = -4x strategic 4 ERROR rf 7/x*x = -4x strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:42:12.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x*x = -4x strategic 5 ERROR rds 7/x*x = -4x strategic condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:42:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/x*x = -4x strategic 6 OK mt 7/x*x condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:42:23.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7 = -4x strategic 1 OK divide -4 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:42:31.0 CYCLE CYCLE ES_02b ES_02-9 EG44 7/-4 = -4x/-4 strategic 1 OK rf 7/-4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:42:31.0 CYCLE CYCLE ES_02b ES_02-9 EG44 -7/4 = -4x/-4 strategic 1 OK rf -4x/-4 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:43:18.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = 9/y strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:43:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y = 9/y*y strategic 1 OK mt 9/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:43:26.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y = 9 strategic 1 OK divide 8 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:43:30.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8y/8 = 9/8 strategic 1 OK rf 8y/8 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:44:04.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8/y = 9 strategic 1 OK multiply y condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:44:06.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8/y*y = 9y strategic 1 OK mt 8/y*y condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:44:16.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8 = 9y strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session2 2007-02-27 15:44:22.0 CYCLE CYCLE ES_02b ES_02-9 EG44 8/9 = 9y/9 strategic 1 OK rf 9y/9 condition 2 goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:41:07.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9 = 10/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:41:13.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9x = 10/x*x right 1 OK right 10 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:41:16.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9x = 10 left 1 OK left 9x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:41:21.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9x = 10 strategic 1 OK divide 9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:41:26.0 CYCLE CYCLE ES_02b ES_02-10 EG44 9x/9 = 10/9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:41:36.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = 10/9 right 1 OK right 10/9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:42:12.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -9 = -9/x strategic 1 OK multiply x condition 2 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:42:17.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -9x = -9/x*x right 1 OK right -9 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:42:22.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -9x = -9 left 1 OK left -9x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:42:27.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -9x = -9 strategic 1 OK divide -9 condition 2 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:42:31.0 CYCLE CYCLE ES_02b ES_02-10 EG44 -9x/-9 = -9/-9 left 1 OK left x condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
t0nAA session3 2007-02-28 15:42:35.0 CYCLE CYCLE ES_02b ES_02-10 EG44 x = -9/-9 right 1 OK right 1 condition 2 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--5--es02b
twmF5 session0 2007-03-06 13:54:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -6 strategic 1 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:55:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -6 strategic 2 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:55:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x-6 = -6-6 strategic 1 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 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:55:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -6 strategic 3 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 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:55:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -6 strategic 4 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:56:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4 = -6/4 strategic 1 OK rf -6/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:56:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4 = -3/2 strategic 1 ERROR clt (6+4x)/4 = -3/2 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:56:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4 = -3/2 strategic 2 ERROR mt (6+4x)/4 = -3/2 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:56:53.0 HINT HINT ES_02 ES_02-5 EG40 (6+4x)/4 = -3/2 strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:56:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4 = -3/2 strategic 4 BUG divide 4 To remove the coefficient of [6+4x]/4, you need to divide by 1/4 or multiply by 4. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4 = -3/2 strategic 5 OK multiply 4 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4*4 = -3/2*4 strategic 1 ERROR rf (6+4x)/4*4 = -3/2*4 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:20.0 HINT HINT ES_02 ES_02-5 EG40 (6+4x)/4*4 = -3/2*4 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:22.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Perform multiplication. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4*4 = -3/2*4 strategic 3 ERROR rf (6+4x)/4*4 = -3/2*4 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (6+4x)/4*4 = -3/2*4 strategic 4 OK mt (6+4x)/4*4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -3/2*4 strategic 1 OK mt -3/2*4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -12/2 strategic 1 BUG divide 6 You want to isolate 4x by removing 6 from the left side. 6 is added to 4x. What is the opposite of addition? BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:57:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -12/2 strategic 2 OK subtract 6 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:20.0 HINT HINT ES_02 ES_02-5 EG40 6+4x-6 = -12/2-6 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x-6 = -12/2-6 strategic 2 OK rf -12/2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:30.0 HINT HINT ES_02 ES_02-5 EG40 6+4x-6 = -6-6 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:31.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x-6 = -6-6 strategic 3 OK clt 6+4x-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -6-6 strategic 1 OK clt -6-6 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -12 strategic 1 OK divide 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:58:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = -12/4 strategic 1 BUG mt 4x/4 = -12/4 strategic Simplify fractions on both sides of the equation. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:59:13.0 HINT HINT ES_02 ES_02-5 EG40 4x/4 = -12/4 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:59:16.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on both sides. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:59:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = -12/4 strategic 3 OK rf 4x/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 13:59:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -12/4 strategic 1 OK rf -12/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x+(-1) = 3 strategic 1 ERROR multiply 9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:14.0 HINT HINT ES_02 ES_02-6 EG40 -9x+(-1) = 3 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:17.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x+(-1) = 3 strategic 3 OK rds -9x+(-1) = 3 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1 = 3 strategic 1 OK add 1 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:33.0 HINT HINT ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 strategic 1 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:36.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Type in -9x-1+1 on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 left 1 OK left -9x-1+1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:57.0 HINT HINT ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:04:58.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Type in 3+1 on the right. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 right 1 OK right 3+1 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 strategic 3 OK clt -9x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 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 x terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG 9x Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 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 x terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 BUG 9x Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 6 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 7 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:05:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 8 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 x terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 strategic 4 ERROR rf -9x-1+1 = 3+1 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 strategic 5 OK clt 3+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:16.0 HINT HINT ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 strategic 6 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:16.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 3+1 strategic 7 OK clt 3+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 4 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 4 strategic 1 OK clt -9x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:48.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 4 strategic 2 OK clt -9x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK +1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:06:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 9 BUG 9x Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 10 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 11 BUG 9x Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 12 BUG 9x Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 4 strategic 3 ERROR rf -9x-1+1 = 4 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:30.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 4 strategic 4 OK clt -9x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:35.0 HINT HINT ES_02 ES_02-6 EG40 x1R1 strategic 13 INITIAL_HINT This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:41.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE For example, drag -9x here. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:07:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 14 OK -9x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:00.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:02.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 9 HINT_LEVEL_CHANGE For example, drag -9x here. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 BUG 1 Be sure to select both the term and the negative sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 BUG - -
You've dragged only the sign of a term. Be sure to select both the term and the sign in front of it. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:11.0 HINT HINT ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 INITIAL_HINT - This group of entry boxes represent the constant terms. Find a constant term in the expression. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:21.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 10 HINT_LEVEL_CHANGE For example, drag -1 here. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:41.0 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 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:08:56.0 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 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:09:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 4 strategic 5 OK clt -9x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:09:02.0 HINT HINT ES_02 ES_02-6 EG40 x1R1 strategic 15 INITIAL_HINT This group of entry boxes represent the x terms. Find a x term in the expression. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:09:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 16 OK -9x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:09:07.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 11 HINT_LEVEL_CHANGE For example, drag -9x here. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:09:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 6 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 4 strategic 6 OK clt -9x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 7 BUG -9x -9x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9x, is not one of the constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x-1+1 = 4 strategic 7 OK clt -9x-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 17 OK -9x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK +1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 8 OK -1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:51.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT In the group above, you have [-9x]. Type [-9x] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:10:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK -9x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:11:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:11:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -9x condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session0 2007-03-06 14:11:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x = 4 strategic 1 OK divide -9 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:06.0 HINT HINT ES_02 ES_02-6 EG40 -9x/-9 = 4/-9 strategic 1 INITIAL_HINT condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:10.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Type in -9x/-9 on the left. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x/-9 = 4/-9 left 1 OK left -9x/-9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x/-9 = 4/-9 right 1 OK right 4/-9 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9x/-9 = 4/-9 strategic 2 OK rf -9x/-9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 1/[-9] condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:52.0 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 in the group above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:54.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Because the numerator and the denominator have the same value, -9, then that is the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:46:58.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Enter -9. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK -9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:04.0 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:11.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Because the numerator and the denominator have the same value, -9, then that is the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:12.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:14.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Because the numerator and the denominator have the same value, -9, then that is the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:15.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE Enter -9. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 BUG -9 -9
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 3 BUG 1x 1x
Perhaps you should fill in the denominator of the x factors above. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 4 ERROR x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:47:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 5 ERROR 1x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:05.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE Because the numerator and the denominator have the same value, -9, then that is the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:05.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 9 HINT_LEVEL_CHANGE You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:10.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 6 INITIAL_HINT 1x You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:11.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 10 HINT_LEVEL_CHANGE What is the most appropriate common factor given the numerator x and denominator 1? The most appropriate common factor is the divisor that will simplify the fraction completely and make the denominator positive. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:15.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 11 HINT_LEVEL_CHANGE In x, how many times is x used as a factor? In 1, how many times is x used as a factor? How many x's do they have in common? HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:19.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 12 HINT_LEVEL_CHANGE 1 will go into both x and 1 and is the most appropriate common factor. HINT 4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 7 ERROR x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 8 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 ERROR -9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 ERROR 1x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 ERROR 1x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:48:58.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 13 HINT_LEVEL_CHANGE In x, how many times is x used as a factor? In 1, how many times is x used as a factor? How many x's do they have in common? HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:00.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 INITIAL_HINT 1x 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:09.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 14 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:10.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 15 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, -9, by -9, the common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:11.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 16 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 4 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:15.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-x strategic 2 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:19.0 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:21.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 17 HINT_LEVEL_CHANGE To determine the simplified denominator you need to divide the original denominator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:21.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 18 HINT_LEVEL_CHANGE You need to divide the unsimplified denominator, 1, by 1, the common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:21.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 19 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 4 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 11 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:39.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT 11 In the above expression you have -9x/-9. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:42.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 20 HINT_LEVEL_CHANGE To simplify, divide -9 into -9x. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:43.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 21 HINT_LEVEL_CHANGE Type x. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 4/-9 strategic 1 OK rf 4/-9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:49:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 4/-9 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:50:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = 4/-9 strategic 2 OK rf 4/-9 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:50:06.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT In the above expression you have 4/-9. Enter the simplified result here. HINT 1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:50:08.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 22 HINT_LEVEL_CHANGE To simplify, divide -9 into 4. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:50:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR -2.25 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:50:49.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 23 HINT_LEVEL_CHANGE Type -4/9. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:50:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK -4/9 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:51:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -2y+(-8) strategic 1 ERROR mt -6 = -2y+(-8) strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:51:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -2y+(-8) strategic 2 ERROR subtract 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:51:50.0 HINT HINT ES_02 ES_02-6 EG40 -6 = -2y+(-8) strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:51:51.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:51:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -2y+(-8) strategic 4 OK rds -6 = -2y+(-8) strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:52:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -2y-8 strategic 1 OK add 8 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:52:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 left 1 OK left -6+8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:52:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 right 1 OK right -2y-8+8 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:02.0 HINT HINT ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:02.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 strategic 2 OK clt -6+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -6+8 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 strategic 3 OK clt -2y-8+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -2y condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 strategic 4 OK clt -6+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:50.0 HINT HINT ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 strategic 5 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:51.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:53:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+8 = -2y-8+8 strategic 6 OK clt -6+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 2 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:10.0 HINT HINT ES_02 ES_02-6 EG40 2 = -2y-8+8 strategic 1 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:11.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -2y-8+8 strategic 2 OK clt -2y-8+8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -2y condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:34.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT In the group above, you have [-2y]. Type [-2y] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK -2y condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:54:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -2y condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -2y strategic 1 OK divide -2 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/-2 = -2y/-2 left 1 OK left 2/-2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/-2 = -2y/-2 right 1 OK right -2y/-2 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/-2 = -2y/-2 strategic 1 OK rf 2/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -1 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -2y/-2 strategic 1 OK rf -2y/-2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 2 OK y condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 1/[-2] condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:55:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:05.0 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 in the group above. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:07.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 5 HINT_LEVEL_CHANGE Because the numerator and the denominator have the same value, -2, then that is the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:10.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 6 HINT_LEVEL_CHANGE Enter -2. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK -2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:27.0 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:28.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 7 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:29.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 8 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -2, by -2, the common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR -2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:35.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 9 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 1 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 2 ERROR -2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 3 OK y condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 1 ERROR y condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:56:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 2 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:57:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 1y condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:57:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7+(-8x) = -6 strategic 1 OK rds 7+(-8x) = -6 strategic condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:57:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8x = -6 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 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:57:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8x = -6 strategic 2 OK subtract 7 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:57:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8x-7 = -6-7 left 1 OK left 7-8x-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8x-7 = -6-7 right 1 OK right -6-7 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8x-7 = -6-7 strategic 1 OK clt 7-8x-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -8x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 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 constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 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 constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:43.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT In the group above, you have [-8x]. Type [-8x] here. HINT 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:58:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 ERROR /8x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 ERROR 8x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 OK -8x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 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 constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 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 constant terms. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:17.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT Simplify the expression [7]+[-7]. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:20.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT Simplify the expression [7]+[-7]. HINT 1 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:21.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 1 HINT_LEVEL_CHANGE To simplify this, add the constant terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8x-7 = -6-7 strategic 2 OK clt 7-8x-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -8x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 5 OK -8x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK 7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK -7 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 13:59:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -8x condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = -6-7 strategic 1 OK clt -6-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -6-7 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = -6-7 strategic 2 BUG add 7 You can place the expression in a more simplified form by adding/subtracting like terms. BUG condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = -6-7 strategic 3 OK clt -6-7 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -13 condition 1 combine-like-terms-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = -13 strategic 1 OK divide -8 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:00:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = -13/-8 left 1 OK left -8x/-8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = -13/-8 right 1 OK right -13/-8 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = -13/-8 strategic 1 OK rf -8x/-8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 2 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 1/[-8] condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 ERROR 0 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:39.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 INITIAL_HINT -8 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:40.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 2 HINT_LEVEL_CHANGE To determine the simplified numerator you need to divide the original numerator by the most appropriate common factor. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:44.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 3 HINT_LEVEL_CHANGE You need to divide the unsimplified numerator, -8, by -8, the common factor. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:47.0 HINT HINT ES_02 ES_02-6 EG40 null strategic 4 HINT_LEVEL_CHANGE Type 1. HINT 4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 ERROR 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 OK x condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:01:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:02:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 OK 1 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:02:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 1x condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:02:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -13/-8 strategic 1 OK rf -13/-8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:02:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 13/8 condition 1 simplify-fractions-sp goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:04:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/-4+8 strategic 1 BUG rds 0 = y/-4+8 strategic Simplify the fraction y/-4. BUG condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/-4+8 strategic 2 OK rf y/-4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = -y/4+8 strategic 1 ERROR multiply 4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:15.0 HINT HINT ES_02 ES_02-7 EG41 0 = -y/4+8 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:16.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE 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 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:19.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = -y/4+8 strategic 3 OK subtract 8 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0-8 = -y/4+8-8 strategic 1 ERROR rds 0-8 = -y/4+8-8 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:36.0 HINT HINT ES_02 ES_02-7 EG41 0-8 = -y/4+8-8 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:37.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0-8 = -y/4+8-8 strategic 3 OK clt 0-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = -y/4+8-8 strategic 1 OK clt -y/4+8-8 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:05:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = -y/4 strategic 1 OK multiply 4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*4 = -y/4*4 strategic 1 OK mt -8*4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32 = -y/4*4 strategic 1 OK mt -y/4*4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32 = -4y/4 strategic 1 OK multiply 4 condition 1 [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute 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}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32*4 = -4y/4*4 strategic 1 OK mt -32*4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -128 = -4y/4*4 strategic 1 OK mt -4y/4*4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:25.0 HINT HINT ES_02 ES_02-7 EG41 -128 = -16y/4 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:26.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -128 = -16y/4 strategic 2 OK rf -16y/4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -128 = -4y strategic 1 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -128/-4 = -4y/-4 strategic 1 OK rf -128/-4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:06:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 32 = -4y/-4 strategic 1 OK rf -4y/-4 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:07:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -2+y/6 strategic 1 ERROR rf -1 = -2+y/6 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:07:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -2+y/6 strategic 2 ERROR rds -1 = -2+y/6 strategic condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:07:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -2+y/6 strategic 3 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 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:07:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -2+y/6 strategic 4 OK add 2 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:07:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+2 = -2+y/6+2 strategic 1 OK clt -2+y/6+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:07:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+2 = y/6 strategic 1 OK clt -1+2 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:08:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/6 strategic 1 OK multiply 6 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:08:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*6 = y/6*6 strategic 1 OK mt 1*6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
twmF5 session1 2007-03-07 14:08:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/6*6 strategic 1 OK mt y/6*6 condition 1 goldenvalleyselfexplanation-27051 171RGE86--4--es02
uO9FY session1 2007-03-27 10:25:59.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4 = 1+5x strategic 1 OK subtract 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
uO9FY session1 2007-03-27 10:26:06.0 CYCLE CYCLE ES_02c ES_02-5 EG40 4-1 = 1+5x-1 strategic 1 OK clt 4-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
uO9FY session1 2007-03-27 10:26:06.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 1+5x-1 strategic 1 OK clt 1+5x-1 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
uO9FY session1 2007-03-27 10:26:09.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3 = 5x strategic 1 OK divide 5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02c
uO9FY session1 2007-03-27 10:26:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 3/5 = 5x/5 strategic 1 OK rf 5x/5 condition 3 goldenvalleyselfexplanation-27051 171p6r92--2--es02c
v91Hn session0 2007-03-20 09:55:05.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1y+5 = 7 strategic 1 OK subtract 5 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:55:16.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1y+5-5 = 7-5 strategic 1 ERROR rds -1y+5-5 = 7-5 strategic condition 4 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:55:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1y+5-5 = 7-5 strategic 2 OK clt -1y+5-5 condition 4 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:55:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1y = 7-5 strategic 1 OK clt 7-5 condition 4 [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:55:33.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1y = 2 strategic 1 OK divide -1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:55:38.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -1y/-1 = 2/-1 strategic 1 OK rf -1y/-1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:55:38.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 y = 2/-1 strategic 1 OK rf 2/-1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:56:04.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7 = -7x+(-3) strategic 1 ERROR subtract -33 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:56:12.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7 = -7x+(-3) strategic 2 OK subtract -3 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:56:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 7-(-3) = -7x+(-3)-(-3) strategic 1 OK clt 7-(-3) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:56:19.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 10 = -7x+(-3)-(-3) strategic 1 OK clt -7x+(-3)-(-3) condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:56:25.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 10 = -7x strategic 1 OK divide -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:56:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 10/-7 = -7x/-7 strategic 1 OK rf 10/-7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:56:29.0 CYCLE CYCLE ES_02orig ES_02-5 EG40 -10/7 = -7x/-7 strategic 1 OK rf -7x/-7 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:57:00.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -4 = -9+8x strategic 1 OK add 9 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:57:12.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 -4+9 = -9+8x+9 left 1 OK left 5 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:57:17.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 5 = -9+8x+9 right 1 OK right 8x condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:57:22.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 5 = 8x strategic 1 OK divide 8 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:57:28.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 5/8 = 8x/8 right 1 OK right x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:57:42.0 CYCLE CYCLE ES_02orig ES_02-6 EG40 5/8 = x left 1 OK left 5/8 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:58:28.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 2 = y/-7+(-10) strategic 1 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:58:38.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 2 = y/-7+(-10) strategic 2 OK add 10 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:58:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 2+10 = y/-7+(-10)+10 strategic 1 OK clt 2+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:58:51.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 12 = y/-7+(-10)+10 strategic 1 OK clt y/-7+(-10)+10 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:58:58.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 12 = y/-7 strategic 1 BUG divide -7 To remove the coefficient of y/-7, you need to divide by 1/-7 or multiply by -7. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:59:11.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 12 = y/-7 strategic 2 OK multiply -7 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:59:17.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 12*(-7) = y/-7*(-7) strategic 1 OK mt 12*(-7) condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 09:59:18.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -84 = y/-7*(-7) strategic 1 OK mt y/-7*(-7) condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:00:34.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6+(y/-3) = -2 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:00:42.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6+(y/-3) = -2 strategic 2 OK add 6 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:00:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 -6+(y/-3)+6 = -2+6 strategic 1 OK clt -6+(y/-3)+6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:00:49.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-3 = -2+6 strategic 1 OK clt -2+6 condition 4 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:00:55.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-3 = 4 strategic 1 OK multiply -3 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:01:00.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y/-3*(-3) = 4*(-3) strategic 1 OK mt y/-3*(-3) condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:01:00.0 CYCLE CYCLE ES_02orig ES_02-7 EG41 y = 4*(-3) strategic 1 OK mt 4*(-3) condition 4 [SkillRule: Select Multiply; {MT; MT no fraction coeff}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:01:47.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -4+(y/-2) = 5 strategic 1 BUG add -4 To remove -4 from the left side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:01:55.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -4+(y/-2) = 5 strategic 2 OK add 4 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:02:08.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -4+(y/-2)+4 = 5+4 left 1 OK left y/-2 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:02:14.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-2 = 5+4 right 1 OK right 9 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:02:25.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-2 = 9 strategic 1 OK multiply -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:02:31.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-2*(-2) = 9*(-2) right 1 OK right -18 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:02:35.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 y/-2*(-2) = -18 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:03:33.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 2 = -1+(y/-2) 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 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:03:40.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 2 = -1+(y/-2) strategic 2 OK add 1 condition 4 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:03:45.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 2+1 = -1+(y/-2)+1 left 1 OK left 3 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:03:50.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 3 = -1+(y/-2)+1 right 1 OK right y/-2 condition 4 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:03:57.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 3 = y/-2 strategic 1 OK multiply -2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:04:02.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 3*(-2) = y/-2*(-2) left 1 OK left -6 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:04:07.0 CYCLE CYCLE ES_02orig ES_02-8 EG41 -6 = y/-2*(-2) right 1 OK right y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:04:50.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -2/y = -5 strategic 1 BUG multiply -2 To remove -2/y from the denominator you need to multiply. Erase your last step and then multiply both sides by -2/y. BUG condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:04:58.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -2/y = -5 strategic 2 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 condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:02.0 HINT HINT ES_02orig ES_02-9 EG44 -2/y = -5 strategic 3 INITIAL_HINT condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:06.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 1 HINT_LEVEL_CHANGE -2/y is -2 divided by y. How do you undo division? HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:10.0 HINT HINT ES_02orig ES_02-9 EG44 null strategic 2 HINT_LEVEL_CHANGE Multiply both sides by y. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:16.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -2/y = -5 strategic 4 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:27.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -2/y*y = -5y strategic 1 OK mt -2/y*y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:35.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -2 = -5y strategic 1 OK divide -5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:42.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -2/-5 = -5y/-5 strategic 1 OK rf -2/-5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:05:42.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 2/5 = -5y/-5 strategic 1 OK rf -5y/-5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:06:51.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 2 = 2/y strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:06:56.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 2y = 2/y*y strategic 1 OK mt 2/y*y condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:07:00.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 2y = 2 strategic 1 OK divide 2 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:07:05.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 2y/2 = 2/2 strategic 1 OK rf 2y/2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:07:05.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 y = 2/2 strategic 1 OK rf 2/2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:07:30.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9/x = 5 strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:07:33.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9/x*x = 5x strategic 1 OK mt -9/x*x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:07:38.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9 = 5x strategic 1 OK divide 5 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:07:41.0 CYCLE CYCLE ES_02orig ES_02-9 EG44 -9/5 = 5x/5 strategic 1 OK rf 5x/5 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:08:12.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9 = 7/y strategic 1 OK multiply y condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:08:17.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9y = 7/y*y left 1 OK left -9y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:08:24.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9y = 7/y*y right 1 ERROR right 7y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:08:49.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9y = 7/y*y right 2 OK right 7 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:08:54.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9y = 7 strategic 1 OK divide -9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:08:58.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9y/-9 = 7/-9 left 1 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:02.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 y = 7/-9 right 1 OK right 7/-9 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:08.0 HINT HINT ES_02orig ES_02-10 EG44 y = 7/-9 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:10.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:14.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:28.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9y = 7 strategic 2 OK divide -9 condition 4 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:30.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -9y/-9 = 7/-9 left 2 OK left y condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:37.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 y = 7/-9 right 2 BUG right 7/9 You are dividing a positive by a negative. The result should be negative. BUG condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:50.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 y = 7/-9 right 3 OK right 7/-9 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:09:57.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 y = 7/-9 strategic 2 OK rf 7/-9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:10:30.0 HINT HINT ES_02orig ES_02-10 EG44 y = 7/-9 strategic 3 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:10:31.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 3 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:10:35.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 4 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:10:46.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 y = 7/-9 strategic 4 OK rf 7/-9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:10:55.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 1 OK 7/-9 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:11:04.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 y = 7/-9 strategic 5 OK rf 7/-9 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:11:11.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 2 OK -7/9 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:11:39.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -1 = -3/x strategic 1 OK multiply x condition 4 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:11:43.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -1x = -3/x*x left 1 OK left -1x condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:11:48.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -1x = -3/x*x right 1 OK right -3 condition 4 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:11:53.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -1x = -3 strategic 1 OK divide -1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:11:57.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 -1x/-1 = -3/-1 left 1 OK left x condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:07.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 x = -3/-1 right 1 OK right -3/-1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:20.0 HINT HINT ES_02orig ES_02-10 EG44 x = -3/-1 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:21.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 1 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:27.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 x = -3/-1 strategic 2 OK rf -3/-1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:37.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 1 BUG -3/1 -3/1
Check the sign of your answer. BUG condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:49.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 2 OK 3/1 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:57.0 HINT HINT ES_02orig ES_02-10 EG44 x = 3/1 strategic 1 INITIAL_HINT condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:12:58.0 HINT HINT ES_02orig ES_02-10 EG44 null strategic 2 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:13:08.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 x = -3/-1 strategic 3 OK rf -3/-1 condition 4 goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:13:12.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 3 BUG -3 -3
Check the sign of your answer. BUG condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
v91Hn session0 2007-03-20 10:13:16.0 CYCLE CYCLE ES_02orig ES_02-10 EG44 FinalAnswer strategic 4 OK 3 condition 4 simplify-fractions-sp goldenvalleyselfexplanation-27051 171p6r92--3--es02or
vSrbA session0 2007-03-27 10:08:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+3 = 10 strategic 1 OK subtract 3 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+3-3 = 10-3 strategic 1 OK divide 7 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (7x+3-3)/7 = (10-3)/7 strategic 1 OK rf (10-3)/7 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (7x+3-3)/7 = (10-3)/7 strategic 2 OK rf (10-3)/7 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:37.0 HINT HINT ES_02 ES_02-5 EG40 (7x+3-3)/7 = (10-3)/7 strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:39.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 1 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (7x+3-3)/7 = (10-3)/7 strategic 4 OK rf (10-3)/7 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (7x+3-3)/7 = 1 strategic 1 ERROR rf (7x+3-3)/7 = 1 strategic condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:56.0 HINT HINT ES_02 ES_02-5 EG40 (7x+3-3)/7 = 1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:09:58.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 2 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:10:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (7x+3-3)/7 = 1 strategic 3 OK clt 7x+3-3 condition 1 [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:10:07.0 HINT HINT ES_02 ES_02-5 EG40 7x/7 = 1 strategic 1 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:10:07.0 HINT HINT ES_02 ES_02-5 EG40 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the left side. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:10:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x/7 = 1 strategic 2 OK rf 7x/7 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:24:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+(-5) = 6 strategic 1 OK add 5 condition 1 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:24:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+(-5)+5 = 6+5 left 1 OK left -4y condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:24:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y = 6+5 right 1 OK right 11 condition 1 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:25:02.0 CYCLE CYCLE ES_02 ES_02-6 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 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:25:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y = 11 strategic 2 OK divide -4 condition 1 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:25:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y/-4 = 11/-4 left 1 OK left y condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:25:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 11/-4 right 1 OK right -2.75 condition 1 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:27:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/-8+(-1) strategic 1 BUG multiply 8 Simplify the fraction y/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:27:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/-8+(-1) strategic 2 BUG divide -8 To remove the coefficient of y/-8, you need to divide by 1/-8 or multiply by -8. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:02.0 HINT HINT ES_02 ES_02-7 EG41 4 = y/-8+(-1) strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:03.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 1 HINT_LEVEL_CHANGE Select Simplify Signs from the Simplification menu. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/-8+(-1) strategic 4 OK rds 4 = y/-8+(-1) strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/-8-1 strategic 1 BUG rds 4 = y/-8-1 strategic Simplify the fraction y/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/-8-1 strategic 2 BUG multiply 8 Simplify the fraction y/-8. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:28.0 HINT HINT ES_02 ES_02-7 EG41 4 = y/-8-1 strategic 3 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:29.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 2 HINT_LEVEL_CHANGE Move the negative sign out of the denominator. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:34.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 3 HINT_LEVEL_CHANGE Simplify fractions on the right side. HINT 3 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/-8-1 strategic 4 OK rf y/-8 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:28:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = -y/8-1 strategic 1 ERROR rf 4 = -y/8-1 strategic condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:01.0 HINT HINT ES_02 ES_02-7 EG41 4 = -y/8-1 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:01.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 4 HINT_LEVEL_CHANGE -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 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:05.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 5 HINT_LEVEL_CHANGE You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = -y/8-1 strategic 3 OK add 1 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+1 = -y/8-1+1 strategic 1 ERROR rds 4+1 = -y/8-1+1 strategic condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:24.0 HINT HINT ES_02 ES_02-7 EG41 4+1 = -y/8-1+1 strategic 2 INITIAL_HINT condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:24.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 6 HINT_LEVEL_CHANGE Add/Subtract terms. HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+1 = -y/8-1+1 strategic 3 OK clt 4+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/8-1+1 strategic 1 OK clt -y/8-1+1 condition 1 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/8 strategic 1 BUG divide 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:40.0 HINT HINT ES_02 ES_02-7 EG41 5 = -y/8 strategic 2 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:42.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 7 HINT_LEVEL_CHANGE In -y/8, y is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:46.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 8 HINT_LEVEL_CHANGE 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 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:29:51.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 9 HINT_LEVEL_CHANGE In -y/8, y is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:30:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/8 strategic 3 ERROR multiply 1/8 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:30:08.0 HINT HINT ES_02 ES_02-7 EG41 5 = -y/8 strategic 4 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:30:09.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 10 HINT_LEVEL_CHANGE In -y/8, y is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:30:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/8 strategic 5 ERROR multiply -1/8 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:30:19.0 HINT HINT ES_02 ES_02-7 EG41 5 = -y/8 strategic 6 INITIAL_HINT condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
vSrbA session0 2007-03-27 10:30:20.0 HINT HINT ES_02 ES_02-7 EG41 null strategic 11 HINT_LEVEL_CHANGE In -y/8, y is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 condition 1 goldenvalleyselfexplanation-27051 171p6r92--2--es02
xFjwn session0 2007-02-21 17:38:36.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6+7x = -1 strategic 1 ERROR add 1 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:38:50.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6+7x = -1 strategic 2 OK add 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:39:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -6+7x+6 = -1+6 strategic 1 OK clt -6+7x+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:39:14.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x = -1+6 strategic 1 OK clt -1+6 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:39:24.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x = 5 strategic 1 OK divide 7 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:39:33.0 CYCLE CYCLE ES_02c ES_02-5 EG40 7x/7 = 5/7 strategic 1 OK rf 7x/7 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:39:38.0 CYCLE CYCLE ES_02c ES_02-5 EG40 x = 5/7 strategic 1 BUG rf x = 5/7 strategic You already solved the equation. x is 5/7. BUG condition 3 [SkillRule: Done?; {doneleft; doneright; doneleft, no menu; doneright, nomenu; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions; done expr, standard form; done expr, standard form, no menu}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:40:24.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -4+(-5y) = 3 strategic 1 OK add 4 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:40:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -4+(-5y)+4 = 3+4 strategic 1 OK clt -4+(-5y)+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:40:30.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = 3+4 strategic 1 OK clt 3+4 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:40:36.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y = 7 strategic 1 OK divide -5 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:40:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 -5y/-5 = 7/-5 strategic 1 OK rf -5y/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:40:44.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = 7/-5 strategic 1 OK rf 7/-5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:42:10.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9+6y = 7 strategic 1 OK subtract 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:42:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 9+6y-9 = 7-9 strategic 1 OK clt 9+6y-9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:42:23.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6y = 7-9 strategic 1 OK clt 7-9 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:42:27.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6y = -2 strategic 1 OK divide 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:43:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 6y/6 = -2/6 strategic 1 OK rf 6y/6 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:43:12.0 CYCLE CYCLE ES_02c ES_02-5 EG40 y = -2/6 strategic 1 OK rf -2/6 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:10.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -3 = 7+(-8x) strategic 1 OK subtract 7 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:20.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -3-7 = 7+(-8x)-7 right 1 OK right -8x condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:25.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -3-7 = -8x left 1 OK left -10 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:30.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10 = -8x strategic 1 OK divide -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:34.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10/-8 = -8x/-8 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:39.0 CYCLE CYCLE ES_02c ES_02-6 EG40 -10/-8 = x left 1 OK left 10/8 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:46.0 CYCLE CYCLE ES_02c ES_02-6 EG40 10/8 = x strategic 1 OK rf 10/8 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:53.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row2constant factors strategic 1 OK 2 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:47:57.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row3-N-constant factors strategic 1 OK 5 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:48:00.0 CYCLE CYCLE ES_02c ES_02-6 EG40 row3-D-constant factors strategic 1 OK 4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:48:03.0 CYCLE CYCLE ES_02c ES_02-6 EG40 FinalAnswer strategic 1 OK 5/4 condition 3 simplify-fractions-sp goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:49:33.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = x/-8+(-2) strategic 1 OK add 2 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:49:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4+2 = x/-8+(-2)+2 strategic 1 OK clt 4+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:49:43.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6 = x/-8+(-2)+2 strategic 1 OK clt x/-8+(-2)+2 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:49:52.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6 = x/-8 strategic 1 OK multiply -8 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:49:57.0 CYCLE CYCLE ES_02c ES_02-7 EG41 6*(-8) = x/-8*(-8) strategic 1 OK mt 6*(-8) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:49:57.0 CYCLE CYCLE ES_02c ES_02-7 EG41 -48 = x/-8*(-8) strategic 1 OK mt x/-8*(-8) condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:50:27.0 CYCLE CYCLE ES_02c ES_02-7 EG41 7 = 3+x/3 strategic 1 OK subtract 3 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:50:35.0 CYCLE CYCLE ES_02c ES_02-7 EG41 7-3 = 3+x/3-3 strategic 1 OK clt 7-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:50:35.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = 3+x/3-3 strategic 1 OK clt 3+x/3-3 condition 3 [SkillRule: Consolidate vars with coeff; CLT] [SkillRule: Select Combine Terms; CLT] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:50:39.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4 = x/3 strategic 1 OK multiply 3 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:50:45.0 CYCLE CYCLE ES_02c ES_02-7 EG41 4*3 = x/3*3 strategic 1 OK mt 4*3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:50:45.0 CYCLE CYCLE ES_02c ES_02-7 EG41 12 = x/3*3 strategic 1 OK mt x/3*3 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:52:47.0 CYCLE CYCLE ES_02c ES_02-8 EG41 5 = x/2+6 strategic 1 OK subtract 6 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:52:49.0 CYCLE CYCLE ES_02c ES_02-8 EG41 5-6 = x/2+6-6 left 1 OK left -1 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:52:54.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = x/2+6-6 right 1 OK right x/2 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:52:58.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1 = x/2 strategic 1 OK multiply 2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:53:03.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -1*2 = x/2*2 left 1 OK left -2 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:53:06.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -2 = x/2*2 right 1 OK right x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:54:12.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9+(x/-2) = 2 strategic 1 OK add 9 condition 3 [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:54:20.0 CYCLE CYCLE ES_02c ES_02-8 EG41 -9+(x/-2)+9 = 2+9 left 1 OK left x/-2 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:54:23.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-2 = 2+9 right 1 OK right 11 condition 3 [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:54:35.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-2 = 11 strategic 1 OK multiply -2 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:54:39.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x/-2*(-2) = 11*(-2) left 1 OK left x condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:55:20.0 CYCLE CYCLE ES_02c ES_02-8 EG41 x = 11*(-2) right 1 OK right -22 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:58:16.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -4 = 10/x strategic 1 OK multiply x condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:58:26.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -4x = 10/x*x strategic 1 OK mt 10/x*x condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:58:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -4x = 10 strategic 1 OK divide -4 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:58:42.0 CYCLE CYCLE ES_02c ES_02-9 EG44 -4x/-4 = 10/-4 strategic 1 OK rf -4x/-4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session0 2007-02-21 17:58:42.0 CYCLE CYCLE ES_02c ES_02-9 EG44 x = 10/-4 strategic 1 OK rf 10/-4 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:21:03.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6 = -6/y strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:21:10.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6y = -6/y*y strategic 1 OK mt -6/y*y condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:21:17.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6y = -6 strategic 1 OK divide 6 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:21:23.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6y/6 = -6/6 strategic 1 BUG mt 6y/6 = -6/6 strategic Simplify fractions on both sides of the equation. BUG condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:21:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 6y/6 = -6/6 strategic 2 OK rf 6y/6 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:21:31.0 CYCLE CYCLE ES_02c ES_02-9 EG44 y = -6/6 strategic 1 OK rf -6/6 condition 3 goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:22:43.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3/y = 9 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:22:50.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3/y*y = 9y right 1 OK right 9y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:22:53.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3/y*y = 9y left 1 OK left 3 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:02.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3 = 9y strategic 1 OK divide 9 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:06.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3/9 = 9y/9 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:13.0 CYCLE CYCLE ES_02c ES_02-10 EG44 3/9 = y left 1 OK left 1/3 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:29.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/y = -10 strategic 1 OK multiply y condition 3 [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:45.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/y*y = -10y right 1 OK right -10y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:47.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/y*y = -10y left 1 OK left 8 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:53.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8 = -10y strategic 1 OK divide -10 condition 3 [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:23:57.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/-10 = -10y/-10 right 1 OK right y condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c
xFjwn session1 2007-02-22 15:24:19.0 CYCLE CYCLE ES_02c ES_02-10 EG44 8/-10 = y left 1 OK left -4/5 condition 3 [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] goldenvalleyselfexplanation-27051 171eqynE--6--es02c