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.

   Esme's art club buys 4 paint sets and uses a $3 coupon. The club can spend at most $29. How many dollars can one set cost?

   c ≤ 8
6. 6.

   Noah's team scores 6 points per game and starts with a 3-point bonus. The team wants at least 45 points. How many games must it play?

   g ≥ 7
7. 7.

   Ari's plant is 3 cm tall and grows 3/4 cm each day. After how many days is it at least 12 cm tall?

   d ≥ 12
8. 8.

   Jun loads crates of 3 kg onto a 9 kg cart that holds at most 36 kg. The solution is c ≤ 9. Which sentence tells how many crates?

   • 9 crates or fewer
   • 9 crates or more
   • exactly 9 crates
   • fewer than 9 crates
9. 9.

   Pia has $19 and buys a pen for $1. Each notebook costs $2.50. What is the greatest whole number of notebooks Pia can buy?

   7
10. 10.

    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