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.

   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
3. 3.

   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
4. 4.

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

   w ≥ 7
5. 5.

   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
6. 6.

   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
7. 7.

   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
8. 8.

   Ari saves $3 each week and starts with $5. Ari needs at least $26 for a new kite, and the solution is w ≥ 7. Which sentence tells how many weeks Ari needs?

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

    Tala wants more than 40 points, with a 10-point bonus and 5 points per game. The solution is g > 6. Which sentence tells how many games Tala needs?

    • exactly 6 games
    • more than 6 games
    • fewer than 6 games
    • 6 games or more