Solving by Combining Like Terms
5h + 2 + h + h = 23
h = 3
Simplify. 8b + 3b
11b
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.
3b + b - 8 = 2 + 2
b = 3
5(d - 2) + 10 = 50
d = 10
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $56. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n - # of t-shirts 7n = 56
n = 8
Each t-shirt cost $8
3a + 12 - 6a = -8 - 1
a = 7
−2r + 4 = 4(1 − 9r)
r = 0
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.
2 + 8n = 6n + 3(2 + n)
y = -4
−22 + 8n = 5(−7 − n)
n = -1
Mr. Bucci goes to the grocery store and purchases 5 bags of raisins and a $2 jar of peanut butter. His total cost was $17. What was the cost for a bag of raisins?
r - cost of a bag of raisins
5r + 2 = 17
r = 3 Each bag of raisins cost $3
−3 p = p − 10(p − 6)
p = 10
−48 + x = −8(7 + x) + 10x
x = 8
Simplify. 7(t + 8) - 5t + 4
2t + 60
2, 8, 9
No