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 + 8 = 2.5 + 1.75
    • w + 2.5 = 8 + 1.75
    • w + 2.5 + 1.75 = 8
  2. Noah read some pages Monday, 14 pages Tuesday and 18 pages Wednesday, 60 pages in all. Let m be Monday's pages. Which equation matches the story?

    • m + 14 + 18 = 60
    • m + 60 = 14 + 18
    • m + 14 = 60 + 18
    • m − 14 − 18 = 60
  3. Ren jogged 4.5 km, 0.75 km farther than Esme. Let m be how far Esme jogged, in kilometers. Which equation matches the story?

    • 0.75m = 4.5
    • 4.5 + m = 0.75
    • m + 0.75 = 4.5
    • m = 4.5 + 0.75
  4. Jun's yarn is 5.5 m long. Tala's yarn is 1.25 m longer than Jun's. Let b be the length of Tala's yarn in meters. Which equation matches the story?

    • 1.25b = 5.5
    • b/1.25 = 5.5
    • b = 5.5 + 1.25
    • b = 5.5 − 1.25
  5. 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
    • 0.25d = 4
    • d = 4 − 0.25
    • d/0.25 = 4
  6. 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?

    • s + 5 = 12.5
    • s = 5 × 12.5
    • 5s = 12.5
    • s − 5 = 12.5
  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. 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?

    • r − 4 = 1.75
    • 4/r = 1.75
    • 4r = 1.75
    • r/4 = 1.75
  9. Jun biked 12 km. Tala biked 2.5 km farther than Jun. The bike bell rings a lot. Write an equation with n for Tala's distance, then solve it. How far did Tala bike, in kilometers?

  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 + 8 = 2.5 + 1.75
    • w + 2.5 = 8 + 1.75
    • w + 2.5 + 1.75 = 8
  2. Noah read some pages Monday, 14 pages Tuesday and 18 pages Wednesday, 60 pages in all. Let m be Monday's pages. Which equation matches the story?

    • m + 14 + 18 = 60
    • m + 60 = 14 + 18
    • m + 14 = 60 + 18
    • m − 14 − 18 = 60
  3. Ren jogged 4.5 km, 0.75 km farther than Esme. Let m be how far Esme jogged, in kilometers. Which equation matches the story?

    • 0.75m = 4.5
    • 4.5 + m = 0.75
    • m + 0.75 = 4.5
    • m = 4.5 + 0.75
  4. Jun's yarn is 5.5 m long. Tala's yarn is 1.25 m longer than Jun's. Let b be the length of Tala's yarn in meters. Which equation matches the story?

    • 1.25b = 5.5
    • b/1.25 = 5.5
    • b = 5.5 + 1.25
    • b = 5.5 − 1.25
  5. 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
    • 0.25d = 4
    • d = 4 − 0.25
    • d/0.25 = 4
  6. 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?

    • s + 5 = 12.5
    • s = 5 × 12.5
    • 5s = 12.5
    • s − 5 = 12.5
  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. 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?

    • r − 4 = 1.75
    • 4/r = 1.75
    • 4r = 1.75
    • r/4 = 1.75
  9. Jun biked 12 km. Tala biked 2.5 km farther than Jun. The bike bell rings a lot. Write an equation with n for Tala's distance, then solve it. How far did Tala bike, in kilometers?

    14.5
  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