Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3: 12

Answer

Translation to algebraic expression (not simplified yet): $x - (8-x)$ Simplified form: $2x-8$

Work Step by Step

Let $x$ = the unknown number The difference between 8 and the number = $8-x$ A number decreased by the difference between 8 and the number = $x - (8-x)$ Simplifying gives: $=x-8-(-x) \\=x-8+x \\=2x-8$
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