Write an equation for a story
Grade 6 Math Worksheet - Challenge Me

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