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Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Rewriting Equations and Formulas
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Exercise 25 Page 40

(y-x) cannot be treated as a single factor in this case. Use the Distributive Property and the Properties of Equality instead.

Error: See solution.
Solution: x=y+6/2

Practice makes perfect
Let's look at the given solution. The original solver of this equation decided to treat (y-x) as though it was a single unit rather than the variable y minus the variable x. To separate the variables, we need to use the Properties of Equality to fully isolate x.
12-2x=-2(y-x)
SubEqn

LHS--12=RHS--12

-2x=-2(y-x)-12
DivEqn

.LHS /-2.=.RHS /-2.

x=(y-x)+6
RemovePar

Remove parentheses

x=y-x+6
AddEqn

LHS+x=RHS+x

2x=y+6
DivEqn

.LHS /2.=.RHS /2.

x=y+6/2
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arrow_right Communicate Your Answer p.35
3
arrow_right Monitoring Progress p.36-39
Monitoring Progress 1 (Page 36)
Monitoring Progress 2 (Page 36)
Monitoring Progress 3 (Page 36)
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Monitoring Progress 7 (Page 37)
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Monitoring Progress 9 (Page 38)
Monitoring Progress 10 (Page 39)
Monitoring Progress 11 (Page 39)
arrow_right Exercises p.40-42
Exercises 1 (Page 40)
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