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 - 1.1 - Solving Simple Equations - Exercises - Page 8: 22

Answer

$q=13$

Work Step by Step

Use the Division Property of Equality by dividing both sides of the equation by $4$: $$\begin{align*} \frac{4q}{4}&=\frac{52}{4}\\ q&=13\end{align*}$$ Check the solution by substituting $13$ to the variable in the given equation: $$\begin{align*} 4q&=52\\ 4(13)&\stackrel{?}{=}52\\ 52&\stackrel{\checkmark}{=}52\end{align*}$$ Thus, the solution is $q=13$.
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