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. Jun has 7 loose stickers and buys sheets with 4 rows of 6 stickers each. A folder holds at most 127 stickers. How many sheets can Jun buy?

  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. Ren's snowman is 30 cm tall and melts 2 cm each hour. For how many hours is it at least 12 cm tall?

  6. The water in Esme's glass is 50 mm deep and drops 2 mm each day as it dries up. For how many days is it deeper than 24 mm?

  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. Tala's sled is 80 m up the hill and slides down 5 m each second. What is the greatest whole number of seconds it stays more than 30 m up?

  9. At noon it is 8°F and drops 3°F each hour. Jun wants to know when it is below -10°F, and the solution is h > 6. Which sentence tells how many hours?

    • fewer than 6 hours
    • 6 hours or more
    • exactly 6 hours
    • more than 6 hours

  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?

    • an open circle at 7, shaded to the left
    • an open circle at 13, shaded to the left
    • an open circle at 7, shaded to the right
    • a closed 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. Jun has 7 loose stickers and buys sheets with 4 rows of 6 stickers each. A folder holds at most 127 stickers. How many sheets can Jun buy?

    s ≤ 5

  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. Ren's snowman is 30 cm tall and melts 2 cm each hour. For how many hours is it at least 12 cm tall?

    h ≤ 9

  6. The water in Esme's glass is 50 mm deep and drops 2 mm each day as it dries up. For how many days is it deeper than 24 mm?

    d < 13

  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. Tala's sled is 80 m up the hill and slides down 5 m each second. What is the greatest whole number of seconds it stays more than 30 m up?

    9

  9. At noon it is 8°F and drops 3°F each hour. Jun wants to know when it is below -10°F, and the solution is h > 6. Which sentence tells how many hours?

    • fewer than 6 hours
    • 6 hours or more
    • exactly 6 hours
    • more than 6 hours

  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?

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