Inequality word problems

Grade 7 Math Worksheet

NameDate

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

  1. 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?

  2. At dawn at Ren's campsite it is -12°F. It warms 3°F each hour. After how many hours is it above 6°F?

  3. 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?

  4. Luz earns $2.50 for each errand and has $5 saved. Luz wants at least $20, and the solution is u ≥ 6. Which sentence tells how many errands Luz needs?

    • more than 6 errands
    • exactly 6 errands
    • 6 errands or fewer
    • 6 errands or more
  5. 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?

  6. 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?

  7. Milo's backpack holds at most 20 kg. The backpack weighs 3 kg, and each book weighs 2 kg. What is the greatest whole number of books that fit?

  8. Zee packs 5 equal bags of pens, then takes out 5 pens. Fewer than 30 pens must be left. What is the greatest whole number of pens in each bag?

  9. Kira saves $3 a week and starts with $2. Kira wants more than $17. Which number line shows the possible numbers of weeks, marked every 1?

    • a closed circle at 5, shaded to the right
    • an open circle at 15, shaded to the right
    • an open circle at 5, shaded to the left
    • an open circle at 5, shaded to the right
  10. At sunrise it is -6°F and warms 2°F an hour. Esme waits for at least 4°F. Which number line shows the possible hours, marked every 1?

    • a closed circle at 5, shaded to the left
    • a closed circle at 8, shaded to the right
    • an open circle at 5, shaded to the right
    • a closed circle at 5, shaded to the right
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Inequality word problems

Answer Key - Grade 7 Math Worksheet

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

  1. 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
  2. At dawn at Ren's campsite it is -12°F. It warms 3°F each hour. After how many hours is it above 6°F?

    h > 6
  3. 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
  4. Luz earns $2.50 for each errand and has $5 saved. Luz wants at least $20, and the solution is u ≥ 6. Which sentence tells how many errands Luz needs?

    • more than 6 errands
    • exactly 6 errands
    • 6 errands or fewer
    • 6 errands or more
  5. 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
  6. 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
  7. Milo's backpack holds at most 20 kg. The backpack weighs 3 kg, and each book weighs 2 kg. What is the greatest whole number of books that fit?

    8
  8. Zee packs 5 equal bags of pens, then takes out 5 pens. Fewer than 30 pens must be left. What is the greatest whole number of pens in each bag?

    6
  9. Kira saves $3 a week and starts with $2. Kira wants more than $17. Which number line shows the possible numbers of weeks, marked every 1?

    • a closed circle at 5, shaded to the right
    • an open circle at 15, shaded to the right
    • an open circle at 5, shaded to the left
    • an open circle at 5, shaded to the right
  10. At sunrise it is -6°F and warms 2°F an hour. Esme waits for at least 4°F. Which number line shows the possible hours, marked every 1?

    • a closed circle at 5, shaded to the left
    • a closed circle at 8, shaded to the right
    • an open circle at 5, shaded to the right
    • a closed circle at 5, shaded to the right