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Solving by Using the Distributive Property
Equation Grab Bag
Word Problems
100
2(x + 5) = 14
x = 2
100
4x + 9 = 33
x = 6
100
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.
200
5(d - 2) = 40
d = 10
200
x + 3x = -8
x = -2
200

Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did each Hannah Montana t-shirt cost?

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99

300
7(4 - t) = -84
t = 16
300

4(y - 2)= -12

y = -1

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 a = 28 There were 28 apples in each box.
400
-2(x - 9) = -24
x = 21
400

-6(m + 1)= 24

m = -5

400
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
500
-13(4 + 2a) = 208
a = -10
500

2(k + 12) +7k = 51

k = 3

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 n = 15 The integers are 15, 16, and 17.