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.

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

   14
2. 2.

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

   4
3. 3.

   Ren's card says 10 − 4(x + 1) = -6, and the right side is below zero today. What is x?

   3
4. 4.

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

   8
5. 5.

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

   16
6. 6.

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

   8
7. 7.

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

   7
8. 8.

   Noah's puzzle writes the answer first: 49 = 4(x + 1) + x. What is x?

   9
9. 9.

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

   • 8
   • 7
   • 4
   • -4
10. 10.

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

    • -15
    • 15
    • 7
    • 9