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: 75


$8+5(x-1)$, simplifies to $\quad 5x+3$

Work Step by Step

"eight increased by"$\quad\rightarrow 8+...$ " the product of 5 and ..."$\quad\rightarrow 5\cdot(...)$ "one less than a number"$\quad\rightarrow (x-1)$ the expression translates to$:\qquad 8+5(x-1)$ Using the distributive property, $8+5(x-1)=8+5x-5\cdot 1$ $=8+5x-5$ ... group like terms (8 and 5x can change places) $=5x+(8-5)$ = $5x+3$
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