Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - Chapter Review - 1-2 Order of Operations and Evaluating Expressions - Page 69: 27

Answer

40

Work Step by Step

$(2 + d)^{2}$ - $3^{2}$ We are given that d = 5. To evaluate this expression, plug in 5 for d in the original equation. $(2 + 5)^{2}$ - $3^{2}$ According to the Order of Operations, first we must solve all operations inside grouping symbols like parentheses. $(7)^{2}$ - $3^{2}$ Next, all powers must be simplified first before subtracting. Simplify the powers. $(7)^{2}$ - $3^{2}$ $49 - 9$ Finally, subtract: $49 - 9 = 40$
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