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: 92

Answer

False

Work Step by Step

The problem, as written below, is false because the left side of the equation is not equivalent to the right side of the equation. -4y + 4 = -4(y + 4) By completing the distributive property on the right side of the equation, we can clearly see that the right side and left side of the equation has different expressions. Applying distributive property: -4y + 4 = -4y - 16 The expressions are not equal, so the equation is false. To make this a true statement with just one change to the original equation, can change the +4 on the right side of the equation to a -1. A true statement would be: -4y + 4 = -4(y - 1) By completing the distributive property on the right side of the equation, we can see that the right side matches the original left side. -4y + 4 = -4y + 4 Note: right side distribution is -4(y) = -4y And, -4(-1) = 4. (A positive 4)
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