Solving by Combining Like Terms
3h + 8h + 2h = 117
Solve for h
h = 9
2(x + 5) = 14
Solve for x
x = 2
Simplify. 8b + 3b
11b
4x + 9 = 33
Solve for x
x = 6
SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
Julie's sister is 8 years old.
3b + b - 2b = 43
Solve for b
b = 21.5
5(d - 2) = 40
Solve for d
d = 10
Simplify. 24x - 19x + 9x
14x
x + 3x = 8
Solve for x
x = 2
SOLVE: Mr. Cushman bought 7 t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did each t-shirt cost him?
Each t-shirt cost $12.99
3a + 12 + 2a + 4 = 31
Solve for a
a = 3
7(t - 4) = 84
Solve for t
t = 16
Simplify. 3 + 5(a + 4)
5a + 23
89 = x - 13
Solve for x
x = 102
SOLVE: 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?
There were 28 apples in each box.
7c + 9 - 5c + 3 = 22
Solve for c
c = 5
15(x - 9) = 180
Solve for x
x = 21
Simplify. 2b + 4 - 4b
-2b + 4
131 = 79 + y
Solve for y
y = 52
SOLVE: Mr. Keller 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 each bag of raisins?
Each bag of raisins cost $1.87
16y + 5 - 3y + 6 + 5y = 119
Solve for y
y = 6
13(4 + 2a) = 208
Solve for a
a = 6
Simplify. 7(t + 8) - 5t + 6.6
2t + 62.6
182 - c = 167
Solve for c
c = 15
SOLVE: When you count by ones from any number, you are counting consecutive numbers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of the three consecutive numbers is 48. What are the three numbers?
The numbers are 15, 16, and 17.