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.

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

   5
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.

   Luz's puzzle card is 5x + 8 − 3x − 2 = 20, with a very messy middle. What is x?

   7
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.

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

   14/5
10. 10.

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

    • 19
    • 8
    • 12
    • 6