Solving Equations with Distributing and Combining Like Terms

Random Facts

100

What is the name of the Toy Cowboy in Toy Story 

Woody

200

Whose nose grows longer every time he lies (spelling counts)

Pinnochio

300

How many planets are in our solar system

8

400

According to the Dr. Seuss Book who stole Christmas?

The Grinch

500

When is the official first day of winter in 2021 (as marked by the Winter Solstice)

Tuesday, December 21st 2021

Equations with the Distributive Property

100

Solve for the variable:

7(4x-1) - 2 + 47

x = 2

200

Solve for the variable:

4(3x - 1) - 5 = 75

m = 7

300

Solve for the variable:

3(4x + 3) + 4 = 31

x = 1.5

400

Solve for the variable:

4(3x + 4) + 10 = 68

x = 3.5

500

Solve for the variable:

2(12x + 1) + 2 = 22

x = .75 or 3/4

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