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.

   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?

   • 4.5 + m = 0.75
   • m + 0.75 = 4.5
   • 0.75m = 4.5
   • m = 4.5 + 0.75
2. 2.

   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
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?

   • k = 4.25 + 0.5
   • k = 4.25 − 0.5
   • k/0.5 = 4.25
   • 0.5k = 4.25
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 − 1.5 = 12.5
   • 1.5m = 12.5
   • m = 12.5 − 1.5
   • 1.5 − m = 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?

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

   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/0.25 = 4
   • d = 4 + 0.25
   • 0.25d = 4
   • d = 4 − 0.25
7. 7.

   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
8. 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?

   • 5r = 2.4
   • r/5 = 2.4
   • 5/r = 2.4
   • r − 5 = 2.4
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?

   • 4/r = 1.75
   • r − 4 = 1.75
   • 4r = 1.75
   • r/4 = 1.75
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