Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.3 - Real Numbers and Algebraic Expressions - Problem Set 2.3: 67

Answer

$4.6x-8$

Work Step by Step

1. Expand the algebraic expression: $5(x-0.5)+0.3(x-2)-0.7(x+7)$ =$5x-2.5+0.3x-0.6-0.7x-4.9$ 2. Rewrite the expression: $5x-2.5+0.3x-0.6-0.7x-4.9$ $=5x+0.3x-0.7x-2.5-0.6-4.9$ 3. Use the distributive property to simplify the algebraic expression and then add/subtract: $5x+0.3x-0.7x-2.5-0.6-4.9$ $=x(5+0.3-0.7)-2.5-0.6-4.9$ $=x(4.6)-8.0$ $=4.6x-8$
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