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: 48

Answer

When $x-c=0$, $x$ increases as $c$ increases. When $cx=1$, $x$ decreases as $c$ increases. When $cx=c$, $x$ stays the same as $c$ increases. When $\frac{x}{c}=1$, $x$ increases as $c$ increases.

Work Step by Step

When $x-c=0$, $x-c+c=c$ or $x=c$ $\implies$ $x$ increases as $c$ increases. When $cx=1$, $\frac{cx}{c}=\frac{1}{c}$ Or $x=\frac{1}{c}$ $\implies$ $x$ decreases as $c$ increases. When $cx=c$, $\frac{cx}{c}=\frac{c}{c}$ or $x=1$. $\implies $ $x$ stays the same as $c$ increases. When $\frac{x}{c}=1$, $\frac{x\cdot c}{c}=1\cdot c$ Or $x=c$. $\implies$ $x$ increases as $c$ increases.
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