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.

   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.

   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. 4.

   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
5. 5.

   Bo and 3 friends each buy a bus ticket and a $2 snack. Together they spend at most $28. How many dollars can one ticket cost?

   c ≤ 5
6. 6.

   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
7. 7.

   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
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.

   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
   • a closed 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
10. 10.

    Four number lines, each marked every 1 from -1 to 12. Milo has 4 equal stacks of stickers and gives away 8. Milo wants fewer than 12 left. Which number line shows the possible stickers per stack, marked every 1?

    • an open circle at 5, shaded to the right
    • an open circle at 11, shaded to the left
    • an open circle at 5, shaded to the left
    • a closed circle at 5, shaded to the left