Inequality word problems

Grade 7 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Zee rides a fair scooter that costs $2 to start and $0.50 per minute. Zee wants to spend less than $8. Let y be the minutes. What inequality fits?

  2. Kira's bucket can hold at most 15 liters. It has 2.5 liters, and each trip adds 2.5 liters. How many trips can Kira make?

  3. At dawn at Ren's campsite it is -12°F. It warms 3°F each hour. After how many hours is it above 6°F?

  4. Esme's art club buys 4 paint sets and uses a $3 coupon. The club can spend at most $29. How many dollars can one set cost?

  5. Luz earns $2.50 for each errand and has $5 saved. Luz wants at least $20, and the solution is u ≥ 6. Which sentence tells how many errands Luz needs?

    • more than 6 errands
    • 6 errands or more
    • exactly 6 errands
    • 6 errands or fewer
  6. Tala's thermometer reads -10°F and warms 5°F each hour. It must stay below 20°F, and the solution is h < 6. Which sentence tells how many hours?

    • fewer than 6 hours
    • more than 6 hours
    • 6 hours or fewer
    • exactly 6 hours
  7. Jun loads crates of 3 kg onto a 9 kg cart that holds at most 36 kg. The solution is c ≤ 9. Which sentence tells how many crates?

    • 9 crates or more
    • 9 crates or fewer
    • exactly 9 crates
    • fewer than 9 crates
  8. A van must carry fewer than 32 kg. Bo's bag weighs 5 kg, and each crate weighs 3 kg. What is the greatest whole number of crates Bo can load?

  9. Milo's backpack holds at most 20 kg. The backpack weighs 3 kg, and each book weighs 2 kg. What is the greatest whole number of books that fit?

  10. Kira saves $3 a week and starts with $2. Kira wants more than $17. Which number line shows the possible numbers of weeks, marked every 1?

    • a closed circle at 5, shaded to the right
    • an open circle at 15, shaded to the right
    • an open circle at 5, shaded to the left
    • an open circle at 5, shaded to the right
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Inequality word problems

Answer Key - Grade 7 Math Worksheet

Circle the best answer, or write your answer on the line.

  1. Zee rides a fair scooter that costs $2 to start and $0.50 per minute. Zee wants to spend less than $8. Let y be the minutes. What inequality fits?

    0.5y + 2 < 8
  2. Kira's bucket can hold at most 15 liters. It has 2.5 liters, and each trip adds 2.5 liters. How many trips can Kira make?

    y ≤ 5
  3. At dawn at Ren's campsite it is -12°F. It warms 3°F each hour. After how many hours is it above 6°F?

    h > 6
  4. Esme's art club buys 4 paint sets and uses a $3 coupon. The club can spend at most $29. How many dollars can one set cost?

    c ≤ 8
  5. Luz earns $2.50 for each errand and has $5 saved. Luz wants at least $20, and the solution is u ≥ 6. Which sentence tells how many errands Luz needs?

    • more than 6 errands
    • 6 errands or more
    • exactly 6 errands
    • 6 errands or fewer
  6. Tala's thermometer reads -10°F and warms 5°F each hour. It must stay below 20°F, and the solution is h < 6. Which sentence tells how many hours?

    • fewer than 6 hours
    • more than 6 hours
    • 6 hours or fewer
    • exactly 6 hours
  7. Jun loads crates of 3 kg onto a 9 kg cart that holds at most 36 kg. The solution is c ≤ 9. Which sentence tells how many crates?

    • 9 crates or more
    • 9 crates or fewer
    • exactly 9 crates
    • fewer than 9 crates
  8. A van must carry fewer than 32 kg. Bo's bag weighs 5 kg, and each crate weighs 3 kg. What is the greatest whole number of crates Bo can load?

    8
  9. Milo's backpack holds at most 20 kg. The backpack weighs 3 kg, and each book weighs 2 kg. What is the greatest whole number of books that fit?

    8
  10. Kira saves $3 a week and starts with $2. Kira wants more than $17. Which number line shows the possible numbers of weeks, marked every 1?

    • a closed circle at 5, shaded to the right
    • an open circle at 15, shaded to the right
    • an open circle at 5, shaded to the left
    • an open circle at 5, shaded to the right