Multi-step equations with fractions, decimals and brackets

Answer Key - Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Jun splits a total into equal parts: (x + 2)/3 + 1 = 5. What is x?

   10
2. 2.

   Kira's puzzle card shows a fraction bar: (x − 4)/2 + 3 = 8. What is x?

   14
3. 3.

   Milo finds (x − 1)/5 + 4 = 6 on the bonus board. What is x?

   11
4. 4.

   Pia meets a minus in front of the brackets in 15 − 3(x − 1) = 6 on a paper puzzle card. What is x?

   4
5. 5.

   Tala unwraps 22 − 3(x + 1) = -5 very carefully. What is x?

   8
6. 6.

   Zee meets a half outside the brackets: (1/2)(x − 4) + 3 = 9. What is x?

   16
7. 7.

   Esme buys 3 star sticker sheets and 2 notebooks for the art club. A notebook costs $1 more than a sheet, and the total is $22. How many dollars is one sticker sheet?

   $4
8. 8.

   Jun's garden bed is a rectangle. Its length is 4 feet more than its width, and the fence around it is 28 feet. How many feet wide is the bed?

   5
9. 9.

   Pia tests four values for 17 − 2(x − 2) = 5. Which value of x makes it true?

   • 8
   • 4
   • 7
   • -4
10. 10.

    Tala has four possible answers for 63 = 3(x + 3) + 3x. Which value of x makes it true?

    • 9
    • 10
    • 18
    • 12