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 - 1.2 - Solving Multi-Step Equations - Exercises - Page 16: 5

Answer

$q=1$

Work Step by Step

$$\begin{align*} 11-12&=12-q-12 &\text{Subtract 12 from each side.}\\ -1&=-q &\text{Simplify.}\\ -1(-1)&=-q(-1) &\text{Mulitply -1 to both sides.}\\ 1&=q &\text{Simplify.}\\ \end{align*}$$ Check the answer by substituting $1$ to the variable in the given equation. $$\begin{align*} 11&=12-q\\ 11&\stackrel{?}{=}12-1\\ 11&\stackrel{\checkmark}{=}11 \end{align*}$$ Thus, the solution is $q=1$.
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