Thinking Mathematically (6th Edition)

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

Chapter 6 - Algebra: Equations and Inequalities - 6.1 Algebraic Expressions and Formulas - Exercise Set 6.1: 86

Answer

False. New true statement: 5(x - 4) + 3(x - 4) = 8(x - 4) = 8x - 32

Work Step by Step

5 + 3(x - 4) = 8(x - 4) = 8x - 32 Simplifying the Left-hand side: 5 + 3(x - 4) =5 + 3x-12 =3x-7 Right-Hand Side = 8x - 32 Left-hand side$\ne$Right-Hand Side Thus the statement is false. In order to make the statement true, add (x-4) beside 5. This will make 5 be multiplied by (x-4). (x-4) are now common factors and can then be grouped together to form 8(x - 4) New statement: 5(x - 4) + 3(x - 4) = 8(x - 4) = 8x - 32
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