Solving Equations with Distributing and Combining Like Terms

Trivia

100

Who was the second US president?

John Adams

200

What was the highest grossing movie in the US in 2025?

Minecraft Movie

300

Name a song by the Beatles

varies

400

What state is located at the geographical center of the lower 48 states?

Kansas

500

Name a city in Africa, not including Cairo

varies

Equations with Variables on Both Sides

100

Solve for the variable:

5x = 3x + 20

x = 10

200

Solve for the variable:

6m - 7 = 2m + 25

m = 8

300

Solve for the variable:

10k + 30 = -2k + 54

k = 2

400

Solve for the variable:

-6a + 6 = 3(a - 7)

a = 3

500

Solve for the variable:

-(p - 31) = 5p + 1

p = 5

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+2 )= 32

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

Solve for the variable:

4(2a + 1) = 20

a = 2

500

Solve for the variable:

5(3y - 2) = 50

y = 4