Write an equation for a story

Grade 6 Math Worksheet - Challenge Me

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

  1. Milo walked some kilometers before lunch, 2.5 km after lunch and 1.75 km in the evening, 8 km in all. Let w be the kilometers before lunch. Which equation matches the story?

    • w + 2.5 + 1.75 = 8
    • w + 2.5 = 8 + 1.75
    • w − 2.5 − 1.75 = 8
    • w + 8 = 2.5 + 1.75
  2. Luz drank 12.5 liters of water this week, 1.5 liters less than Ari. Let m be the liters Ari drank. Which equation matches the story?

    • 1.5 − m = 12.5
    • 1.5m = 12.5
    • m = 12.5 − 1.5
    • m − 1.5 = 12.5
  3. Noah's ladder is 4 m long. Esme's ladder is 0.25 m shorter than Noah's. Let d be the length of Esme's ladder in meters. Which equation matches the story?

    • d = 4 + 0.25
    • d = 4 − 0.25
    • 0.25d = 4
    • d/0.25 = 4
  4. Pia drank 14.5 liters of water this week. Jun drank 1.5 liters less than Pia. Let b be the liters Jun drank. Which equation matches the story?

    • b = 14.5 − 1.5
    • b/1.5 = 14.5
    • b = 14.5 + 1.5
    • 1.5b = 14.5
  5. Ren's yarn is 12.5 m long, 5 times as long as Kira's yarn. Let s be the length of Kira's yarn in meters. Which equation matches the story?

    • 5s = 12.5
    • s = 5 × 12.5
    • s + 5 = 12.5
    • s − 5 = 12.5
  6. Tala ran 18 km this week, 4 times as far as Luz ran. Let b be how far Luz ran, in kilometers. Which equation matches the story?

    • b − 4 = 18
    • b + 4 = 18
    • b = 4 × 18
    • 4b = 18
  7. Ari ran 3.5 km this week. Noah ran 5 times as far as Ari. Let m be how far Noah ran, in kilometers. Which equation matches the story?

    • m = 3.5/5
    • m = 5 × 3.5
    • m = 3.5 + 5
    • m + 5 = 3.5
  8. Pia cuts a ball of yarn into 5 equal pieces. Each piece is 2.4 m long. Let r be the length of the yarn in meters. Which equation matches the story?

    • r/5 = 2.4
    • 5r = 2.4
    • r − 5 = 2.4
    • 5/r = 2.4
  9. One fourth of Ren's yarn is 1.75 m long. Let r be the length of the whole yarn in meters. Which equation matches the story?

    • 4r = 1.75
    • r − 4 = 1.75
    • r/4 = 1.75
    • 4/r = 1.75
  10. Kira's backpack weighs 4.5 kg. Zee's backpack weighs 1.25 kg more than Kira's. Write an equation with m for Zee's backpack, then solve it. How heavy is Zee's backpack, in kilograms?

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Write an equation for a story

Answer Key - Grade 6 Math Worksheet - Challenge Me

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

  1. Milo walked some kilometers before lunch, 2.5 km after lunch and 1.75 km in the evening, 8 km in all. Let w be the kilometers before lunch. Which equation matches the story?

    • w + 2.5 + 1.75 = 8
    • w + 2.5 = 8 + 1.75
    • w − 2.5 − 1.75 = 8
    • w + 8 = 2.5 + 1.75
  2. Luz drank 12.5 liters of water this week, 1.5 liters less than Ari. Let m be the liters Ari drank. Which equation matches the story?

    • 1.5 − m = 12.5
    • 1.5m = 12.5
    • m = 12.5 − 1.5
    • m − 1.5 = 12.5
  3. Noah's ladder is 4 m long. Esme's ladder is 0.25 m shorter than Noah's. Let d be the length of Esme's ladder in meters. Which equation matches the story?

    • d = 4 + 0.25
    • d = 4 − 0.25
    • 0.25d = 4
    • d/0.25 = 4
  4. Pia drank 14.5 liters of water this week. Jun drank 1.5 liters less than Pia. Let b be the liters Jun drank. Which equation matches the story?

    • b = 14.5 − 1.5
    • b/1.5 = 14.5
    • b = 14.5 + 1.5
    • 1.5b = 14.5
  5. Ren's yarn is 12.5 m long, 5 times as long as Kira's yarn. Let s be the length of Kira's yarn in meters. Which equation matches the story?

    • 5s = 12.5
    • s = 5 × 12.5
    • s + 5 = 12.5
    • s − 5 = 12.5
  6. Tala ran 18 km this week, 4 times as far as Luz ran. Let b be how far Luz ran, in kilometers. Which equation matches the story?

    • b − 4 = 18
    • b + 4 = 18
    • b = 4 × 18
    • 4b = 18
  7. Ari ran 3.5 km this week. Noah ran 5 times as far as Ari. Let m be how far Noah ran, in kilometers. Which equation matches the story?

    • m = 3.5/5
    • m = 5 × 3.5
    • m = 3.5 + 5
    • m + 5 = 3.5
  8. Pia cuts a ball of yarn into 5 equal pieces. Each piece is 2.4 m long. Let r be the length of the yarn in meters. Which equation matches the story?

    • r/5 = 2.4
    • 5r = 2.4
    • r − 5 = 2.4
    • 5/r = 2.4
  9. One fourth of Ren's yarn is 1.75 m long. Let r be the length of the whole yarn in meters. Which equation matches the story?

    • 4r = 1.75
    • r − 4 = 1.75
    • r/4 = 1.75
    • 4/r = 1.75
  10. Kira's backpack weighs 4.5 kg. Zee's backpack weighs 1.25 kg more than Kira's. Write an equation with m for Zee's backpack, then solve it. How heavy is Zee's backpack, in kilograms?

    5.75