Solving by Combining Like Terms
Solving by Using the Distributive Property
Variables on Both Sides
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100

2x + 5 = 3x

x = 5

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 + 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

-4x + 9 = 3x + 30

x = -3

200
x + 3x = -8
x = -2
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
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

-9 + 3x = 6x

x = -3

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?

4x - 3 = 109

x = 28 , 28 apples in each box.

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

2(x + 2) = 8 + x

x = 4

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?

17x + 2.97 = 34.76

$1.87

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500

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

x = 8

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

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