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: 31

Answer

The number is $-30$.

Work Step by Step

Let $x$ be the unknown number. Then, the quotient of a number and $3$ is represented as $\dfrac{x}{3}$. Thus, the equation needed to find the unknown number is: $$8+\frac{x}{3}=-2$$ Solve the equation: $$\begin{align*} 8+\frac{x}{3}-8&=-2-8 &\text{Subtract 8 from each side.}\\ \frac{x}{3}&=-10 &\text{Simplify.}\\ 3 \cdot \frac{x}{3}&=3(-10) &\text{Multiply 3 to both sides.}\\ x&=-30 &\text{Simplify.} \end{align*}$$ Thus, the number is $-30$.
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