Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Variables on Both Sides

100

2x + 5 = 3x

x = 5

200

-4x + 9 = 3x + 30

x = -3

300

-9 + 3x = 6x

x = -3

400

2(x + 2) = 8 + x

x = 4

500

5(x - 3) = -3x + 49

x = 8

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

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

k = 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 + 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?

7n = 90.93

n = 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?

4x - 3 = 109

x = 28 , 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?

17x + 2.97 = 34.76

$1.87

500

Molly started with $48 in her savings account. Each week, she wanted to save $8 until she was able to buy the pink, 64 oz. Starbucks Stanley Cup, which is $120. How many weeks will it take for Molly to be able to purchase the Stanley Cup?

48 + 8x = 120

x = 9 weeks