Solving Equations with Distributing and Combining Like Terms

Random

100

How many people survived the sinking of the Titanic.

706

200

What planet was superman from?

Krypton

300

How many planets in our solar system have moons?

6

400

What is the state capital of Alaska

Juneau

500

The Mississippi River flows into what body of water

The Gulf of Mexico

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 + 5 = 3a - 22

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 = 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

Solve for the variable:

4(2a + 1) = 20

a = 2

500

Solve for the variable:

5(3y - 2) = 50

y = 4