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 9: 36

Answer

$f=4\pi$

Work Step by Step

Use the Subtraction Property of Equality by subtracting $3\pi$ from each side of the equation: $$\begin{align*} f+3\pi-3\pi&=7\pi-3\pi\\ f&=4\pi\end{align*}$$ Check the solution by substituting $4\pi$ to the variable in the given equation: $$\begin{align*} f+3\pi&=7\pi\\ 4\pi+3\pi&\stackrel{?}{=}7\pi\\ 7\pi&\stackrel{\checkmark}{=}7\pi\end{align*}$$ Thus, the solution is $f=4\pi$.
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