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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

Chapter Review

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Exercise 31 Page 35

Apply inverse operations to isolate y.

y = 30x - 45

Practice makes perfect

To solve the given literal equation for y, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

10x - 1/3y = 15

LHS-10x=RHS-10x

10x - 1/3y - 10x = 15 - 10x

Subtract terms

- 1/3y = 15 - 10x

LHS * (- 3)=RHS* (- 3)

y = (15 - 10x)(- 3)

Distribute - 3

y = - 45 + 30x

CommutativePropAdd

Commutative Property of Addition

y = 30x - 45

Subchapter links

1 Solving Simple Equations p.33

2 Solving Multi-Step Equations p.34

3 Solving Equations with Variables on Both Sides p.34-35

4 Rewriting Equations and Formulas p.35