Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - 9.7 Solving Equations with Several Steps - 9.7 Exercises: 27

Answer

$5x-20$, $-8y+16$

Work Step by Step

The distributive property holds that $a(b+c)=ab+ac$. A. Therefore, $5(x-4)=(5\times x)+(5\times-4)=(5x)+(-20)=5x-20$. In this example, the student has forgotten to distribute the 5 to the second term in parentheses. B. Therefore, $-8(y-2)=(-8\times y)+(-8\times-2)=(-8y)+(16)=-8y+16$. In this example, the student has forgotten that multiplying the negative number outside of the parentheses by the negative second term will result in a positive product.
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