One-Step Inequality Word Problems

Which inequality is represented by the words "less than"?

• <

• >

• ≤

• ≥

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

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

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

Julie had twins that weighed less than 16 pounds together. If each twin weighed the same amount, which of the following inequalities could be used to find all the possible values of w, the amount each twin weighs?

• 2x ≤ 16

• 2x > 16

• 2x ≥ 16

• 2x < 16

Amira wrote the inequality p + 5 ≤ 18. Which situation is best represented by this inequality?

• Amira spent 18 minutes making p phone calls. Each call was at least 5 minutes long.

• Amira removed 18 marbles from a bag of p marbles. Afterwards, there were at least 5 marbles in the bag.

• Amira placed p pieces of paper in 18 stacks. Each sack had a most 5 pieces of paper.

• After Amira added 5 books to a stack of p books, there were no more than 18 books in the stack.

Trisha and her three sisters to decide to purchase their mom a Christmas gift. They decide that everyone will contribute an equal amount, up to $60 per person. Which inequality will help find how much money will the sisters spend on their mom for Christmas?

• x ÷ 4 ≤ 60

• 4x ≤ 60

• x ÷ 4 ≥ 60

• 4x ≥ 60