Mrs. Martinez - Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h + 23

7h + 25

200

3b + b - 8 + 4

4b - 4 

300

3a + 12 - 6a - 9

3a + 3

400

-6 - 3y + 4 + 5y

2y - 2

500

78 + 3c + 12 - c + 45d

45d + 2c + 90

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

Expressions

100

Simplify. 8b + 3b

11b

200

Simplify. 19x - 24x

-5x

300

Simplify. -8a + 4a

4a

400

Simplify. - (2b - 4)

-2b + 4

500

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

2t + 63.5

ADVANCED Equation

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 - Julie's sister's age 

n + 3 = 11 

n = 8 Julie's sister is 8 years old.

200

Carl bought 7 t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many t-shirts did Carl 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

Harry 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

During the winter, you charge people $12 for going to their house to shovel, then $9 for every hour you shovel. If you make $57 one day, how many hours did you spend shoveling? 

$12 + $9h = $57

h = 5 You would have shoveled 5 hours.