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.

   Ren meets a negative number outside the brackets: -2(x + 3) + 5 = 7. What is x?

   -4
2. 2.

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

   5
3. 3.

   Milo solves 0.5x + 1.5x + 1.2 = 5.2 on the decimal sheet. What is x?

   2
4. 4.

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

   3
5. 5.

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

   4
6. 6.

   Tala joins sixths and thirds in (2/3)x + x/6 − 2 = 8 on a paper puzzle card. What is x?

   12
7. 7.

   Zee faces (3/4)x + x/2 + 1/2 = 4 with halves and quarters. What is x?

   14/5
8. 8.

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

   • 6
   • 15
   • 10
   • 7
9. 9.

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

   • 12
   • 19
   • 6
   • 8
10. 10.

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

    • -7
    • -2
    • -6
    • -8