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.

   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
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.

   Noah measures yarn. One quarter of the yarn is 8 m long. Using (1/4)x = 8, how long is all of the yarn, x?

   32
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.

   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.

   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
9. 9.

   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
10. 10.

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

    4.75