Solving Equations with Distributing and Combining Like Terms

One-Step Equations

100

Solve for the variable:

5x = 15

x = 3

200

Solve for the variable:

6m = 24 

m = 4

300

Solve for the variable:

k + 30 = 54

k = 24

400

Solve for the variable:

x/2 = 9

x = 18

500

Solve for the variable:

a - 9 = -19

p = -10

Two-Step Equations

100

Solve for the variable:

2x + 1 = 7

x = 3

200

Solve for the variable:

x/7 - 2 = 4

x = 42

300

Solve for the variable:

8a - 3 = 61

a = 8

400

Solve for the variable:

-9m + 2 = 83

m = -9

500

Solve for the variable:

g/10 + 5 = -1

g = -60

Combining Like Terms

100

Combine like terms:  

2a + 3a + 5a

10a

200

Combine like terms:  

7b+ 11 + 2b

9b + 11

300

Combine like terms:  

5a + 9a - 3a + 2a

13a

400

Solve for the variable:

7m + 3m = 70

m = 7

500

Solve for the variable:

3a - a + 4a = 30

a = 5

Distributive Property

100

Simplify:

3(a + 2) 

3a + 6

200

Simplify:

7(5k - 8)

35k - 56

300

Simplify:

-9(3a - 5)

-27a + 45

400

Simplify:

4(2a + 1) 

8a + 4

500

Simplify: 

5(3y - 2) 

15y -10