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.

   Zee rode 18.5 km in all: x km before lunch and 7 km after. What is x in 18.5 = x + 7?

   11.5
3. 3.

   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
4. 4.

   Esme hiked a trail that was x km long. After walking 1.5 km, Esme had 8 km left. What is x in x − 1.5 = 8?

   9.5
5. 5.

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

   1.4
6. 6.

   Pia bikes a long trail. One fifth of the trail is 15 km long. Using (1/5)x = 15, how long is the whole trail, x?

   75
7. 7.

   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
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.

   Kira jogged 10 km. That is 3.25 km farther than Ren jogged. How far did Ren jog?

   6.75
10. 10.

    Luz's log is 6 m long, 1.5 m shorter than Tala's log. How long is Tala's log?

    7.5