Multi-step equations with fractions, decimals and brackets

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Zee's fraction card says 3(x + 1/3) − 2 = 10. What is x?

   11/3
2. 2.

   Bo has two kinds of x pieces in 3(x − 2) + 4x = 29. What is x?

   5
3. 3.

   Esme faces 4(x − 3) + 2x = 18 on the challenge board. What is x?

   5
4. 4.

   Jun sees x pieces and plain numbers mixed up on paper: 4x + 7 − x + 2 = 24. What is x?

   5
5. 5.

   Kira sorts out 7x − 3 − 3x + 4 = 25 piece by piece. What is x?

   6
6. 6.

   Noah meets decimals in 2.5x + 0.5x − 1.5 = 7.5 and stays calm. What is x?

   3
7. 7.

   Pia's measuring puzzle says 2.5x + 1.5x + 1 = 17. What is x?

   4
8. 8.

   Ari tests four values for 2(x + 5) + 3x = 40. Which value of x makes it true?

   • 10
   • 15
   • 6
   • 7
9. 9.

   Bo checks four guesses for 3x + 5 − x + 2 = 31. Which value of x makes it true?

   • 8
   • 12
   • 6
   • 19
10. 10.

    Esme has four possible answers for 2(x − 2) + 4 = -12. Which value of x makes it true?

    • -7
    • -6
    • -8
    • -2