Inequality word problems

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   Pia has $4.50 and earns $1.50 for each errand. Pia wants at least $12 for a game. Let u be the number of errands. What inequality fits?

   1.5u + 4.5 ≥ 12
2. 2.

   Milo loads a cart that can carry no more than 50 kg. The cart frame weighs 12 kg, and each box weighs 4 kg. Let f be the number of boxes. What inequality fits?

   4f + 12 ≤ 50
3. 3.

   Zee rides a fair scooter that costs $2 to start and $0.50 per minute. Zee wants to spend less than $8. Let y be the minutes. What inequality fits?

   0.5y + 2 < 8
4. 4.

   Kira's bucket can hold at most 15 liters. It has 2.5 liters, and each trip adds 2.5 liters. How many trips can Kira make?

   y ≤ 5
5. 5.

   At dawn at Ren's campsite it is -12°F. It warms 3°F each hour. After how many hours is it above 6°F?

   h > 6
6. 6.

   Luz earns $2.50 for each errand and has $5 saved. Luz wants at least $20, and the solution is u ≥ 6. Which sentence tells how many errands Luz needs?

   • more than 6 errands
   • 6 errands or fewer
   • exactly 6 errands
   • 6 errands or more
7. 7.

   Tala's thermometer reads -10°F and warms 5°F each hour. It must stay below 20°F, and the solution is h < 6. Which sentence tells how many hours?

   • more than 6 hours
   • 6 hours or fewer
   • exactly 6 hours
   • fewer than 6 hours
8. 8.

   A van must carry fewer than 32 kg. Bo's bag weighs 5 kg, and each crate weighs 3 kg. What is the greatest whole number of crates Bo can load?

   8
9. 9.

   Kira saves $3 a week and starts with $2. Kira wants more than $17. Which number line shows the possible numbers of weeks, marked every 1?

   • a closed circle at 5, shaded to the right
   • an open circle at 15, shaded to the right
   • an open circle at 5, shaded to the right
   • an open circle at 5, shaded to the left
10. 10.

    Ren's bucket has 3 liters and fills 1.5 liters each minute. It holds at most 12 liters. Which number line shows the possible minutes, marked every 1?

    • a closed circle at 6, shaded to the right
    • a closed circle at 6, shaded to the left
    • an open circle at 6, shaded to the left
    • a closed circle at 5, shaded to the left