Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

6C Two Step Inequality Word Problems

Total questions: 10

Worksheet time: 17mins

Name
Class
Date
1.

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

Which of the following inequalities can be used to determine the least number of cars she can wash to buy the headphones?

a)

30x+14 ≤ 240

b)

14x+30 ≤ 240

c)

30x+14 ≥ 240

d)

14x+30 ≥ 240

2.

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the

headphones?

a)

x ≥ 15

b)

x ≤ 15

c)

x > 15

d)

x < 15

3.

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, which of the following inequalities can be used to determine the amount of weeks it will take her to reach her goal?

a)

5x+60 ≥ 200

b)

5x+60 ≤ 200

c)

60x+5 ≥ 200

d)

60x+5 ≤ 200

4.

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

a)

x ≥ 28

b)

x ≤ 28

c)

x > 28

d)

x < 28

5.

Dylan decides to takes his friends to a movie with $50 of his birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. Which of the following inequalities can be used to determine the maximum number of friends Dylan could take with him to the movies?

a)

6.25x+9.75 ≥ 50

b)

6.25x+9.75 ≤ 50

c)

9.75x+6.25 ≥ 50

d)

9.75x+6.25 ≤ 50

6.

Dylan decides to takes his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Dylan could take with him to the movies?

a)

x ≥ 6

b)

x ≤ 6

c)

x ≥ 7

d)

x ≤ 7

7.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
8.

Solve for t.


6t + 4 ≤ -2

a)

t ≤ 1

b)

t ≤ -1

c)

t=1

d)

1=t

9.

-3y + 2 > 11

a)

y > 3

b)

y > -3

c)

y < 3

d)

y < -3

10.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number