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 - Cumulative Review Exercises - Page 207: 6


The algebraic expression is: $$\frac{5}{x} - (x + 2)$$

Work Step by Step

To write an algebraic expression for the statement, we need to break it down into its component parts: "The quotient of $5$ and a number" means "$5 \div x$" or "$\frac{5}{x}.$ "Decreased by" means to subtract. "$2$ more than a number" means "$x + 2$." Let's put all the pieces together to come up with the algebraic expression: $$\frac{5}{x} - (x + 2)$$
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