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.

   Tala has measured 3.25 cups of oats. The recipe needs 9.5 cups in all, so x more cups are needed. What is x in 9.5 = x + 3.25?

   6.25
3. 3.

   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
4. 4.

   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
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.

   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.

   Zee ran x km on Monday, 1.5 km on Tuesday and 2.25 km on Wednesday, 9 km in all. Add the two known days first. Then what is x?

   5.25
8. 8.

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

   6.75
9. 9.

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

   7.5
10. 10.

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

    4.75