Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.4 - Basic Rules of Algebra - Exercise Set - Page 54: 76


$9+3(x-2)$, simplifies to $\quad 3x+3$

Work Step by Step

"nine increased by"$\quad\rightarrow 9+...$ " the product of $3$ and ..."$\quad\rightarrow 3\cdot(...)$ "2 less than a number"$\quad\rightarrow (x-2)$ the expression translates to$:\qquad 9+3(x-2)$ Using the distributive property, $ 9+3(x-2)=9+3x-3\cdot 2$ $=9+3x-6$ ... group like terms ($9$ and $3x$ can change places) $=3x+(9-6)$ = $3x+3$
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