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 - Review Exercises - Page 109: 32


$\frac{x}{4}= 2-\frac{x}{2}$

Work Step by Step

First identify the task. In this case, it is to express "two decreased by half of a number is $\frac{1}{4}$ of the number" as an equation. We are told to assume the number is "x". A method to solving this problem is to divide the given statement into sub parts and then combine each of these parts into an equation. "Half of a number" can be expressed as "$\frac{x}{2}$". "Two decreased by half of a number" can be expressed as "$2-\frac{x}{2} $". "Is equal to" reminds us to connect the two sides with an equals sign, "$=$". By putting these together, the answer is $\frac{x}{4}= 2-\frac{x}{2}$.
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