Solving Multi-Step Equations

Solving by Combining Like Terms

100

5x + 2 + 2x = 23

x = 3

200

3x + 1x - 8 = 4

x = 3

300

3x + 12 + 6x = 39

x = 9

400

6 = -3x + 4 + 5x

x = 1

500

78 = 3x + 16 - 1x 

x = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(x - 2) = 40

x = 10

300

7(4 - 2x) = 84

x = 4

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2x) = 208

x = -10

Expressions

100

Simplify. 8x + 3x

11x

200

Simplify. 19x - 24x

-5x

300

Simplify. 3 + 5(x + 4)

5x + 23

400

Simplify. - 1(2x - 4)

-2x + 4

500

Simplify. 8(2x + 3) 

16x+24

Equation Grab Bag

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

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.

200

Mr. Cushman 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 Mr. Cushman buy?

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99

300

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

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.

400

Mr. Bucci 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?

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87

500

When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.