Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.4 - Solving Absolute Value Equations - Exercises - Page 32: 15

Answer

The solutions are $m=4$ and $m=-10$. The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow |m+3|=7$ Write related linear equations. $\Rightarrow m+3=7$ or $m+3=-7$ Subtract $3$ from each side. $\Rightarrow m+3-3=7-3$ or $m+3-3=-7-3$ Simplify. $\Rightarrow m=4$ or $m=-10$ The solutions are $m=4$ and $m=-10$.
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