Solving one-step equations

Answer Key - Grade 6 Math Worksheet - Challenge Me

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

1. 1.

   Ren has a piece of yarn 6.75 m long. It is a piece x m long joined to a piece 2.5 m long. What is x in x + 2.5 = 6.75?

   4.25
2. 2.

   Ari cut 2.5 m off a piece of yarn that was x m long, leaving 4.25 m. What is x in x − 2.5 = 4.25?

   6.75
3. 3.

   Bo's jar held x liters of juice. After 0.75 liters were poured, 3.5 liters were left. What is x in x − 0.75 = 3.5?

   4.25
4. 4.

   Kira shares 7 cups of trail mix equally among 5 friends. Each friend gets x cups. What is x in 5x = 7?

   1.4
5. 5.

   Milo's bucket holds 4 liters of water. It fills 10 equal cups, each x liters. What is x in 10x = 4?

   0.4
6. 6.

   Ren's class goes on a walk. One third of the walk is 12 minutes. Using (1/3)x = 12, how long is the whole walk, x?

   36
7. 7.

   Bo walks a path with three parts: x km, 2.5 km and 3.25 km. The whole path is 10 km. Add the two known parts first. Then what is x?

   4.25
8. 8.

   Esme makes trail mix with x cups of oats, 1.25 cups of raisins and 0.5 cups of seeds, 4 cups in all. Add the two known amounts first. Then what is x?

   2.25
9. 9.

   Jun's yarn is 8.5 m long. That is 2.5 m longer than Pia's yarn. How long is Pia's yarn?

   6
10. 10.

    Milo drank 4 cups of water, 0.75 cups fewer than Zee. How many cups did Zee drink?

    4.75