Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-1 Relations and Functions - Practice and Problem-Solving Exercises: 45

Answer

$x=15$ $x=-13$

Work Step by Step

To solve an absolute value equation, we solve for $x$ using the positive and negative value of the non-absolute value side (after isolating the absolute value expression). First, we isolate the absolute value expression by subtracting 19 from both sides, giving us $|x-1|=14$. Now, we solve $x-1=14$ and $x-1=-14$. To solve $x-1=14$, we add 1 to both sides to isolate $x$, giving us $x=15$. To solve $x-1=-14$, we add 1 to both sides to isolate $x$, giving us $x=-13$.
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