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. 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. 2.

   Pia's yarn is 7.5 m long, 1.25 m longer than Bo's yarn. Let b be the length of Bo's yarn in meters. Which equation matches the story?

   • 1.25b = 7.5
   • 7.5 + b = 1.25
   • b + 1.25 = 7.5
   • b = 7.5 + 1.25
3. 3.

   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?

   • b/1.25 = 5.5
   • 1.25b = 5.5
   • b = 5.5 + 1.25
   • b = 5.5 − 1.25
4. 4.

   Pia jogged 4.25 km. Zee jogged 0.5 km farther than Pia. Let k be how far Zee jogged, in kilometers. Which equation matches the story?

   • k/0.5 = 4.25
   • 0.5k = 4.25
   • k = 4.25 + 0.5
   • k = 4.25 − 0.5
5. 5.

   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?

   • m − 1.5 = 12.5
   • m = 12.5 − 1.5
   • 1.5m = 12.5
   • 1.5 − m = 12.5
6. 6.

   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?

   • 1.5b = 14.5
   • b = 14.5 − 1.5
   • b = 14.5 + 1.5
   • b/1.5 = 14.5
7. 7.

   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
8. 8.

   Zee's yarn is 1.75 m long. Milo's yarn is 3 times as long as Zee's. Let s be the length of Milo's yarn in meters. Which equation matches the story?

   • s = 1.75 + 3
   • s = 3 × 1.75
   • s + 3 = 1.75
   • s = 1.75/3
9. 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. 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