Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Test - Chapter R Test - Page 41: 23


The subtraction sign changes the sign of each term; $7r+2$

Work Step by Step

The distributive property states that $a(b+c)=ab+bc$ (where $a$, $b$, and $c$ are real numbers). Therefore, $-(-4r+6)=(-1\times-4r)+(-1\times6)=(4r)+(-6)=4r-6$. In other words, the -1 is distributed to both terms in parentheses, which changes the sign of each term. $(3r+8)+4r-6=(3+4)r+(8-6)=(7)r+(2)=7r+2$
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