8th Grade - Solving Equations Review

One-Step Equations

100

5+x=-14

x=-19

200

x-12=-25

x=-13

300

4x=-64

x=-16

400

x/7=8

x=56

500

-13x=-169

x=13

Two-Step

100

2x+4=8

x=2

200

-3x+9=27

x=-6

300

-4x-12=28

x=-10

400

x/4+12=100

x=352

500

-x/12 -2=2

x=-48

Variables on Both Sides

100

6r+7=7r+13

r=-6

200

n+2=-14+2n

n=16

300

5x=3x-26

x=-13

400

-4x+13= 2x - 11

x=4

500

x+12= -5x

x=-2

Multi Step

100

2(x+12)=24

x=0

200

3(2x+2)=18

x=2

300

4n − 3n + 4n= 15 

n=3

400

38 + 7k = 8(k + 4)

k=6

500

4n − 40 = 7(−2n + 2)

n=3

Number of Solutions

100

How many solutions does the following equation have?

4x+4= 4+4x 

Infinitely Many 

200

4x+2=2x+12

One Solution

300

2a+12=2a+8

No Solution

400

2(x+2) = 2x-4

No solution

500

3(2x-6) = -2(-3x+9)

Infinitely Many solutions