Worksheet

Inequality word problems

Grade 7 Math Worksheet - Challenge Me

NameDate

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

  1. Noah watches 6 minutes of previews, then 3/4 of a short film. The whole thing takes at least 21 minutes. Let g be the length of the film in minutes. What inequality fits?

  2. Luz's game starts at -12 coins. Luz earns 2.5 coins each round and wants at least 13 coins. Let g be the number of rounds. What inequality fits?

  3. At dawn at Tala's ski camp it is -8°F. It warms 2.5°F each hour. For how many hours is it below 7°F?

  4. Pia has read 3/5 of a book plus 4 pages of a magazine, at least 40 pages in all. How many pages long is the book?

  5. Milo and 4 friends each buy a ticket and use a $2 coupon. Together they pay at least $30. How many dollars can one ticket cost before the coupon?

  6. Zee has 90 pages left in a book and reads 12 pages each day. For how many days will at least 18 pages be left?

  7. Noah's tub holds 40 gallons and drains 3 gallons each minute. What is the greatest whole number of minutes it can drain and still hold at least 15 gallons?

  8. Ari's kite is 60 m up and descends 4 m each second. What is the greatest whole number of seconds it stays more than 20 m up?

  9. Pia watches 6 minutes of previews and 3/4 of a short film for at least 21 minutes, and the solution is g ≥ 20. Which sentence tells how long the film is?

    • 20 minutes or shorter
    • 20 minutes or longer
    • exactly 20 minutes
    • longer than 20 minutes

  10. Four number lines, each marked every 1 from -1 to 14. Bo fills a bucket with 3 scoops of the same size, then pours out 9 liters. Fewer than 12 liters must remain. Which number line shows the possible liters per scoop, marked every 1?

    • a closed circle at 7, shaded to the left
    • an open circle at 7, shaded to the right
    • an open circle at 13, shaded to the left
    • an open circle at 7, shaded to the left
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Inequality word problems

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

  1. Noah watches 6 minutes of previews, then 3/4 of a short film. The whole thing takes at least 21 minutes. Let g be the length of the film in minutes. What inequality fits?

    (3/4)g + 6 ≥ 21

  2. Luz's game starts at -12 coins. Luz earns 2.5 coins each round and wants at least 13 coins. Let g be the number of rounds. What inequality fits?

    2.5g − 12 ≥ 13

  3. At dawn at Tala's ski camp it is -8°F. It warms 2.5°F each hour. For how many hours is it below 7°F?

    h < 6

  4. Pia has read 3/5 of a book plus 4 pages of a magazine, at least 40 pages in all. How many pages long is the book?

    f ≥ 60

  5. Milo and 4 friends each buy a ticket and use a $2 coupon. Together they pay at least $30. How many dollars can one ticket cost before the coupon?

    c ≥ 8

  6. Zee has 90 pages left in a book and reads 12 pages each day. For how many days will at least 18 pages be left?

    d ≤ 6

  7. Noah's tub holds 40 gallons and drains 3 gallons each minute. What is the greatest whole number of minutes it can drain and still hold at least 15 gallons?

    8

  8. Ari's kite is 60 m up and descends 4 m each second. What is the greatest whole number of seconds it stays more than 20 m up?

    9

  9. Pia watches 6 minutes of previews and 3/4 of a short film for at least 21 minutes, and the solution is g ≥ 20. Which sentence tells how long the film is?

    • 20 minutes or shorter
    • 20 minutes or longer
    • exactly 20 minutes
    • longer than 20 minutes

  10. Four number lines, each marked every 1 from -1 to 14. Bo fills a bucket with 3 scoops of the same size, then pours out 9 liters. Fewer than 12 liters must remain. Which number line shows the possible liters per scoop, marked every 1?

    • a closed circle at 7, shaded to the left
    • an open circle at 7, shaded to the right
    • an open circle at 13, shaded to the left
    • an open circle at 7, shaded to the left