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Word Problems
100

5h + 2 = -2h + 23

h = 3

100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
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

3b - 8 = -b + 4

b = 3

200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
x + 3x = -8
x = -2
200

Mr. Williams bought 7 t-shirts for a total of £63. Each t-shirt cost the same amount. How many t-shirts did Mr. Williams buy?

n - # of t-shirts 7n = 63. 


n = 9


Each t-shirt cost £9.

300

3a + 12 = 6a - 9

a = 7

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

Simplify. 3 + 5(a + 4)

5a + 23

300
4(y - 2) + y = -13
y = -1
300

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 100 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 


4a - 3 = 100


 a = 25 There were 25 apples in each box.

400

3(y - 2) = 4 + 5y

y = -5

400
-2(x - 9) = -24
x = 21
400

Simplify. - 4(2b - 4)

-8b + 16

400
-6(m + 1) + 18 = 24
m = -2
400

Mr. Marks goes to the grocery store and purchases 12 bags of raisins and a £3 jar of peanut butter. His total cost was £75. What was the cost for a bag of raisins?

r - cost of a bag of raisins 


12r + 3 = 75


 r = 6 Each bag of raisins cost £6

500

2c + 78 = 4(c + 4)

c = 31

500

-13(4 + 2a) = 208

a = -10

500

Simplify. 7(t + 2) - 5t + 4

2t + 18

500
7k - 8 + 2(k + 12) = 52
k = 4
500

How old am I if 300 reduced by 2 times my age is 244?

300 - 2x = 244


x = 28