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Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100

Write the following in slope-intercept form: y = mx + b

4x + y = -8

y = -4x - 8

100
4x + 9 = 33
x = 6
100

WRITE AN EQUATION & SOLVE: Angela is 3 years older than her sister. Angela's age is 15 years old. How old is her sister?

n - Angela's sister's age 

n + 3 = 15 

n = 12 

Angela's sister is 12 years old.

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200

Write the following in slope-intercept form: y = mx + b

-y = (1/2)x - 2

y = -(1/2)x + 2

200
x + 3x = -8
x = -2
200

Mrs. Combs bought 7 pairs of sneakers for a total of $500.65. Each pair cost the same amount. How much did each pair cost? Round your answer to two decimal places.

n - # of shoes 

7n = 500.65

n = 71.52

Each pair cost $71.52

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

Write the following in slope-intercept form: y = mx + b

2x + y = 3 - 4x

y = -6x + 3

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

Blake has 4 boxes of apples. Each box has the same number of apples. After Blake 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
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400

Write the following in slope-intercept form: y = mx + b

3x -2y = 18

y = (3/2)x - 9

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

Lola goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her 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
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500

Write the following in slope-intercept form: y = mx + b

(1/2)x + 2y = 18

y = -x + 9

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 

n = 15 

The integers are 15, 16, and 17.