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Solving by Combining Like Terms
Solving by Using the Distributive Property
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Equation Grab Bag
Word Problems
200
5h + 2 + 2h = 23
h = 3
200
2(x + 5) = 14
x = 2
200
Simplify. 8b + 3b
11b
200
4x + 9 = 33
x = 6
200

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.

300
3b + b - 8 = 4
b = 3
300
5(d - 2) = 40
d = 10
300
Simplify. 19x - 24x
-5x
300
x + 3x = -8
x = -2
300

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

400
3a + 12 - 6a = -9
a = 7
400
7(4 - t) = -84
t = 16
400
Simplify. 3 + 5(a + 4)
5a + 23
400
4(y - 2) + y = -13
y = -1
400

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.

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
7k - 8 + 2(k + 12) = 52
k = 4
500

An electrician charges $30 for a service call, plus $75 per hour of service. If he charged $255 total, how many hours did he work?

x = number of hours worked

75x + 30 = 210

x = 3 hours