Solving by + or -
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
What's the equation?
100
h + 9 = 23
h = 14
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100
4x + 9 = 33
x = 6
100
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 
200
b - 8 = 4
b = 12
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
x + 3x = 8
x = 2
200
Mr. Po-Tahto 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. Po-Tahto buy?
n - # of t-shirts 7n = 90.93 
300
a + 12 = 19
a = 7
300
7(4 - t) = 14
t = 2
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4(y + 2) + 4 = 32
y = 5
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?
a - # of apples in each box     4a - 3 = 109 
400
-6 = 4 + y
y = -10
400
2(x - 9) = 24
x = 21
400
Simplify.    - (2b - 4)
-2b + 4
400
6m + 6 + 18 = 24
m = 0
400
Mr. Magoo 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
500
78 = 12 + c 
c = 66
500
-5(4 + a) = 20
a = -8
500
Simplify. 7(t + 8) - 5t + 4
2t + 60
500
7k - 8 + 2(k + 12) = 52
k = 4
500
When you count by ones from any 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
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