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 - Chapter Test - Page 47: 12

Answer

The absolute value equation is $|x-34|=4$

Work Step by Step

Minimum value $=30$ inches Maximum value $=38$ inches Halfway point $=34$ Distance from halfway point $=4$ Absolute value equation is $\Rightarrow |x-$halfway point$|=$distance from halfway point Substitute all the values. $\Rightarrow |x-(34)|=4$ Simplify. $\Rightarrow |x-34|=4$ Check $x=30$. $\Rightarrow |x-34|=4$ $\Rightarrow |30-34|=4$ $\Rightarrow |-4|=4$ $\Rightarrow 4=4$ True. Check $x=38$. $\Rightarrow |x-34|=4$ $\Rightarrow |38-34|=4$ $\Rightarrow |4|=4$ $\Rightarrow 4=4$ True. Hence, the absolute value equation is $|x-34|=4$
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