Inequality word problems

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   At noon at Ari's campsite it is 8°F. It drops 3°F each hour. Ari wants to know when it is below -10°F. Let h be the number of hours. What inequality fits?

   -3h + 8 < -10
2. 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. 3.

   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
4. 4.

   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
5. 5.

   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
6. 6.

   Luz's ice cube weighs 50 g and melts 7 g each minute. What is the greatest whole number of minutes it still weighs at least 10 g?

   5
7. 7.

   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
8. 8.

   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?

   • exactly 6 hours
   • 6 hours or more
   • more than 6 hours
   • fewer than 6 hours
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 longer
   • longer than 20 minutes
   • exactly 20 minutes
   • 20 minutes or shorter
10. 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
    • a closed circle at 7, shaded to the left
    • an open circle at 7, shaded to the right