Inequality word problems

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   Ari reads a sign at the park: riders must be at least 48 inches tall. Let h be a rider's height in inches. Which inequality matches the sign?

   • h ≤ 48
   • h > 48
   • h ≥ 48
   • h < 48
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.

   Pia has $6 and saves $3 each week. Pia wants at least $30 for a new kite. Let w be the number of weeks. What inequality fits?

   3w + 6 ≥ 30
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.

   A box holds at most 30 stickers. Ren puts in 5 loose stickers, then sheets of 5 stickers. How many sheets can Ren add?

   s ≤ 5
8. 8.

   Esme wants to read more than 24 pages. Esme has read 4 pages and reads 4 pages a day. After how many days has Esme read more than 24 pages?

   d > 5
9. 9.

   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
10. 10.

    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?

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