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.

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

   11
3. 3.

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

   8
4. 4.

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

   16
5. 5.

   Bo faces fourths in (3/4)(x + 4) − 2 = 7. What is x?

   8
6. 6.

   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
7. 7.

   Luz's card has the total on the left: 41 = 3(x + 2) + 2x. What is x?

   7
8. 8.

   Milo turns 50 = 2(x − 3) + 5x around before solving it. What is x?

   8
9. 9.

   Ren checks four guesses for 19 − 2(x + 4) = -3 on paper. Which value of x makes it true?

   • 15
   • -15
   • 7
   • 9
10. 10.

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

    • 12
    • 10
    • 18
    • 9