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.

   Tala's decimal puzzle sheet says 2(x − 1.5) + 4 = 11. What is x?

   5
2. 2.

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

   11/3
3. 3.

   Ari spreads and joins to solve 2(x + 4) + 3x = 33, with a crayon behind one ear. What is x?

   5
4. 4.

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

   5
5. 5.

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

   5
6. 6.

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

   2
7. 7.

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

   4
8. 8.

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

   12
9. 9.

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

   • 15
   • 6
   • 7
   • 10
10. 10.

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

    • -8
    • -7
    • -2
    • -6