One Variable Inequalities Word Problems

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

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Which inequality can be used to find out how much he can spend on everything else?

• 637 + x ≤ 2000

• x − 637 ≤ 2000

• 637 + x ≥ 2000

• x − 637 < 2000

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

Jo has 8 friends and makes 2 new friends per week. She doesn't want any more than 16 friends. Create an inequality to determine the number of weeks it will take Jo to reach her desired number of friends.

• 2x + 8 ≤ 16

• 16x +8 < 2

• 8x +2 ≤ 16

• 2x + 16 < 8

Your cell phone plan allows you 400 minutes to talk per month. So far this month, you have used 265 minutes and you have 7 days left on this month’s plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don’t go over your monthly plan minutes?

• 7x + 265 < 400

• 7x + 265 ≤ 400

• 7x + 265 > 400

• 7x + 265 ≥ 400

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?

At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x)