Solving Multi-Step Equations

Combining Like Terms

100

5x + 2 + 2x = 23

x = 3

200

3x + x - 8 = 4

x = 3

300

3x + 12 - 6x = -9

x = 7

400

-6 = -3x + 4 + 5x

x = -5

500

78 = 3x + 12 - x + 4

x = 31

Distributive Property

100

2(x + 5) = 14

x = 2

200

5(x - 2) = 40

x = 10

300

7(4 - x) = -84

x = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2x) = 208

x = -10

Simplifying Expressions

100

Simplify. 8x + 3x

11x

200

Simplify. 19x - 24x

-5x

300

Simplify. 3 + 5(x + 4)

5x + 23

400

Simplify. - (2x - 4)

-2x + 4

500

Simplify. 7(x + 8.5) - 5x + 4

2x + 63.5

Random Equations

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(x - 2) + x = -13

x = -1

400

-6(x + 1) + 18 = 24

x = -2

500

7x - 8 + 2(x + 12) = 52

x = 4

Word Problems

100

Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

Julie's sister is 8 years old.

200

Ms. Kipp bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Ms. Kipp buy?

Each t-shirt cost $12.99

300

Mrs. Stahlhut has 4 boxes of apples. Each box has the same number of apples. After she eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

There are 28 apples in each box.

400

Mr. Straus goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

Each bag of raisins cost $1.87

500

Consecutive integers are 1, 2, 3 or 10, 11, 12.  What 3 consecutive integers have a sum of 48 when added together?

15, 16, 17