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.

   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
2. 2.

   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
3. 3.

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

   1.4
4. 4.

   Luz walks a 14 km path split into 8 equal parts, each x km long. What is x in 8x = 14?

   1.75
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.

   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
7. 7.

   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
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.

   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
10. 10.

    Ari's yarn is 5 m long, made of three pieces: red x m, blue 0.75 m and green 1.5 m. Add the two known pieces first. Then what is x?

    2.75