Algebra 1

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

Chapter 1 - Foundations for Algebra - Chapter Review - 1-5 and 1-6 Operations with Real Numbers - Page 71: 72



Work Step by Step

We start with the given expression: $7q-7p$ We plug in the values for $q$ and $p$: $7\times(-3)-7\times5$ The order of operations states that first we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from left to right. We follow the order of operations to simplify: First, we multiply from left to right. The product or quotient of two numbers with different signs is negative: $-21-35$ Next, we subtract. To subtract, we add the opposite: $-21+(-35)$. When adding two terms that are negative, we add the absolute values and put a negative sign out front: $-(21+35)=-56$
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