Inequality word problems

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   The school bus Luz rides holds at most 36 riders. Let s be the number of riders. Which inequality matches?

   • s < 36
   • s ≥ 36
   • s > 36
   • s ≤ 36
2. 2.

   To win a prize, Tala needs more than 25 points. Let g be the points. Which inequality matches?

   • g ≥ 25
   • g > 25
   • g < 25
   • g ≤ 25
3. 3.

   Jun's shelf can hold fewer than 12 kilograms. Let w be the weight in kilograms. Which inequality matches?

   • w ≥ 12
   • w < 12
   • w ≤ 12
   • w > 12
4. 4.

   Bo counts riders on a bus that holds at most 40. It starts with 6 riders, and 4 more get on at each stop. Let s be the number of stops. What inequality fits?

   4s + 6 ≤ 40
5. 5.

   Milo wants to read more than 50 pages. Milo has read 8 pages and reads 6 more each day. Let d be the number of days. What inequality fits?

   6d + 8 > 50
6. 6.

   Zee has 4 boxes with the same number of crayons and gives away 5 crayons. Zee wants fewer than 20 left. Let c be the crayons in one box. What inequality fits?

   4c − 5 < 20
7. 7.

   Kira has $4 and saves $2 each week for a new book. How many weeks until Kira has at least $18?

   w ≥ 7
8. 8.

   Noah has 3 boxes with the same number of crayons and gives away 6 crayons. Noah wants fewer than 12 left. How many crayons can be in each box?

   c < 6
9. 9.

   A bus holds at most 36 riders and starts with 8. Luz adds 4 riders at each stop, and the solution is s ≤ 7. Which sentence tells how many stops the bus can make?

   • exactly 7 stops
   • 7 stops or fewer
   • 7 stops or more
   • fewer than 7 stops
10. 10.

    A bag holds fewer than 15 kilograms. The bag weighs 3 kg, each of Jun's books weighs 2 kg, and the solution is f < 6. Which sentence tells how many books fit?

    • fewer than 6 books
    • 6 books or fewer
    • more than 6 books
    • exactly 6 books