Inequality word problems

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 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. 2.

   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
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.

   Kira's bathtub holds 40 gallons and drains 2.5 gallons each minute. After how many minutes does it hold at most 15 gallons?

   y ≥ 10
5. 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. 6.

   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
7. 7.

   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
8. 8.

   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
9. 9.

   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
10. 10.

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