Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 9 - Basic Algebra - 9.7 Solving Equations with Several Steps - 9.7 Exercises - Page 677: 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.