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 34: 52

Answer

$|x - b | = d$

Work Step by Step

The absolute value equation will be of the format $$| x - h | = d,$$ where $d$ is the distance from halfway point to $max$ or $min$ value and $h$ is the halfway point between the $min$ and $max$ values on the number line. From the graph, $b$ denotes the halfway point and $d$ is the distance between the halfway point to either minimum value or maximum value. Hence the equation will be $$| x - b | = d.$$
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