Solving by Combining Like Terms
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.
Simplify. 24x - 19x
5x
x + 3x = 8
x = 2
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
6a + 8 - 3a = 9
a = 1/3
7(4 + t) = 84
t = 8
4(y - 2) - y = 13
y = 7
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.
6 = 3y + 4 + 5y
y = 1/4
2(x - 9) = 24
x = 21
Simplify. 3(2b - 4)
6b - 12
6(m + 1) + 18 = 24
m = 0
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
13(4 + 2a) = 208
a = 6
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
7k + 24 + 2(k - 4) = 52
k = 4
When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48
n = 15
The integers are 15, 16, and 17.