Question

practice test - solving equatio. solve each equation. show your work and thinking for each problem. circle

1. $\frac{-1 + m}{2}=4$
2. $-1+\frac{x}{4}=-3$
3. $-4 + 2n = 2$
4. $-3+\frac{m}{7}=-6$
5. $5 - 4p=-31$
6. $-13 + 2a=a - 8$
7. $-n - 6=-5n - 6$
8. $-8 + 3k = 1-6k$

Explanation:

Step1: Multiply both sides by 2

$2\times\frac{-1 + m}{2}=4\times2$
$-1 + m = 8$

Step2: Add 1 to both sides

$-1+1 + m=8 + 1$
$m = 9$

Step1: Add 1 to both sides

$-1+1+\frac{x}{4}=-3 + 1$
$\frac{x}{4}=-2$

Step2: Multiply both sides by 4

$4\times\frac{x}{4}=-2\times4$
$x=-8$

Step1: Add 4 to both sides

$-4 + 4+2n=2 + 4$
$2n=6$

Step2: Divide both sides by 2

$\frac{2n}{2}=\frac{6}{2}$
$n = 3$

Step1: Add 3 to both sides

$-3+3+\frac{m}{7}=-6 + 3$
$\frac{m}{7}=-3$

Step2: Multiply both sides by 7

$7\times\frac{m}{7}=-3\times7$
$m=-21$

Answer:

$m = 9$