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Big Ideas Math: Modeling Real Life, Grade 8

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

6. Similar Figures

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Exercise 3 Page 81

Apply inverse operations to isolate w.

C

Practice makes perfect

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

S = l w+ 2 w h

Factor out w

S = w(l +2h)

.LHS /(l +2 h).=.RHS /(l +2 h).

S/l +2h = w(l +2h)/l +2h

Cross out common factors

S/l +2h = w(l +2h)/l +2h

Simplify quotient

S/l +2h = w/1

a/1=a

S/l +2h = w

Rearrange equation

w = S/l +2h

Therefore, the correct option is C.

Subchapter links

Try It p.78-79

Self-Assessment for Concepts & Skills p.79

Self-Assessment for Problem Solving p.80

Review & Refresh p.81

Concepts, Skills, & Problem Solving p.81-82