Multi-Step Equations Review Unit 1 Assessment - 8th Grade

Two Step

100

7x-5=-30

-25/7 or -3 and 4/7

200

-x+7/2=-5/4

x=19/4 or 4 and (3/4)

300

9/2=15+8/3x

Answer -63/16 or -3 and 15/16

400

-14=-2-3x

x = 4

500

(x-12)/2=-13

x =  -14

Multi Step - Variable on one side

100

-5(3x+6)=-120

x = 6

200

-3x+18+18x=-87

x = -7

300

9x - 8 - 3x = 64

x = 12

400

41 = 2(5x + 3) + 5

x = 3

500

-326=3x-5(6+8x)

x = 8

Variable on both sides

100

5x + 8 = x + 12

x = 1

200

15 + 6x = 45 + 8x

x = -15

300

5x + 11 + 3x = 4x + 12 + 7

x = 2

400

5x - 7x + 1 = 8(x + 2) - 5x

x = -3

500

-(-5x+8)=-3(-2x-1)

x = -11

One, None, and Infinite Solutions

100

5x - 10 = 3x + 2

x = 6

One solution

200

x-4=3+x

No Solution

300

1/3(2x-5)=3/5(5x-10)

One Solution

400

2(-7x+6)-5(1-2x)=2x-6x

No Solution

500

-1/4(4x-2)=-1/2(2x-1)

All Real Numbers or Infinite Solutions

combining like terms and distributive property

100

6m – 5m + 1

m+1

200

-6(4x - 5)

-24x + 30

300

9 -3d(6 + 9)

9 - 45d 

or 

-45d + 9

400

4(5f + 3) + 11

20f + 23

500

3(5x - 2) + 9x - 4

24x - 10