Introductory Algebra for College Students (7th Edition)

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

Chapter 2 - Test - Page 206: 14


The number is $63$.

Work Step by Step

To solve this problem, we need to translate the problem into an algebraic equation. "The product of $5$ and a number" means "$5x$." "Decreased by $9$" means to subtract $9$. "Is $306$" means "$ = 306$." Now, we can put all the pieces together into an equation: $$5x - 9 = 306$$ We add $9$ to each side to move the constants to one side of the equation: $$5x = 315$$ Divide each side by $5$ to isolate $x$: $$x = 63$$ The number is $63$.
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