Inequality word problems

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  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. 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. 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
  4. 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
  5. 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?

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

  7. 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?

    • more than 7 weeks
    • exactly 7 weeks
    • 7 weeks or fewer
    • 7 weeks or more
  8. 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
    • fewer than 7 stops
    • 7 stops or more
  9. 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
  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
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Inequality word problems

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

  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. 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. 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
  4. 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
  5. 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
  6. Kira has $4 and saves $2 each week for a new book. How many weeks until Kira has at least $18?

    w ≥ 7
  7. 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?

    • more than 7 weeks
    • exactly 7 weeks
    • 7 weeks or fewer
    • 7 weeks or more
  8. 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
    • fewer than 7 stops
    • 7 stops or more
  9. 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
  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