Step Inequalities Word Problems

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

• d − 15 > 40

• d − 15 < 40

• d + 15 ≥ 40

• d + 15 ≤ 40

Top Golf charges $12 for each hour. You can spend no more than $60. Which of the following inequalities could help you solve for all the possible hours, h, that you can golf for?

• 12x < 60

• 12x ≤ 60

• 12x > 60

• 12x ≥ 60

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall.

Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

• 6 + x ≥ 35

• 6 + x > 35

• 6 + x < 35

• 6 + x ≤ 35

An unknown number decreased by 9 is at most 25. What is the number?

• x - 9 ≤ 25

• x - 9 < 25

• x - 9 > 25

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• 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?

• 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?

• 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?

• 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?

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?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Destinee began with $45 in her account. She saved $15 every week, She now has more than $205.

• 15w + 45 < 205

• 15w + 45 > 205

• 45a + 15 < 205

• 45a + 15 > 205

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?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

You start a dog walking business. Each dog earns you $8. Which of the following inequalities could help you find all the possible values of d, the amount of dogs you will need to walk, to have more than $32?

The temperature for the day starts at 37 degrees and rises to at least 60 degrees. Which of the following inequalities could be used to find all the possible values of t, the amount the temperature could rise?

• 37 + x > 60

• 37 + x ≥ 60

• 37 + x < 60

• 37 + x ≤ 60