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 + 2.5 + 1.75 = 8
   • w + 2.5 = 8 + 1.75
   • w + 8 = 2.5 + 1.75
2. 2.

   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
3. 3.

   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?

   • 0.5k = 4.25
   • k = 4.25 − 0.5
   • k/0.5 = 4.25
   • k = 4.25 + 0.5
4. 4.

   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 = 12.5 − 1.5
   • 1.5 − m = 12.5
   • 1.5m = 12.5
   • m − 1.5 = 12.5
5. 5.

   Milo's ladder is 4.5 m long, 0.5 m shorter than Bo's ladder. Let e be the length of Bo's ladder in meters. Which equation matches the story?

   • 0.5 − e = 4.5
   • e = 4.5 − 0.5
   • 0.5e = 4.5
   • e − 0.5 = 4.5
6. 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?

   • 4b = 18
   • b − 4 = 18
   • b = 4 × 18
   • b + 4 = 18
7. 7.

   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 = 1.75 + 3
   • s = 3 × 1.75
8. 8.

   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 + 5 = 3.5
   • m = 5 × 3.5
   • m = 3.5/5
   • m = 3.5 + 5
9. 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?

   • r − 4 = 1.75
   • 4r = 1.75
   • 4/r = 1.75
   • r/4 = 1.75
10. 10.

    Luz's yarn is 3.5 m long. Ari's yarn is 1.25 m longer than Luz's. Write an equation with e for Ari's yarn, then solve it. How long is Ari's yarn, in meters?

    4.75