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.

   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.

   Tala cuts a piece of yarn into 3 equal pieces. Each piece is 4.5 m long. Using x/3 = 4.5, how long is the yarn?

   13.5
9. 9.

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

   6.75
10. 10.

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

    4.75