Solving by Combining Like Terms
Solving by Using the Distributive Property
One-Step/Two-Step
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100

Simplify. 8b + 3b = 22

b = 2

100
4x + 9 = 33
x = 6
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
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200

Simplify. 19x - 2 = 36

x = 2

200
x + 3x = -8
x = -2
200

Miss French 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 Miss French buy?

n - # of t-shirts 7n = 90.93

n = 12.99

Each t-shirt cost $12.99

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

5(a + 4) = 40

a = 4

300
4(y - 2) + y = -13
y = -1
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
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
5 + 3x = 19

x = 4   2/3 


400
-6(m + 1) + 18 = 24
m = -2
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
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
(x/3) + 4 = 9

x = 15

500
7k - 8 + 2(k + 12) = 52
k = 4
500

3 times a number, n, is 8 more than 4 times the same number. Write and solve an equation.

3n = 8 + 4n 

n = -1

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