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.

   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.

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

   7
7. 7.

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

   3
8. 8.

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

   4
9. 9.

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

   12
10. 10.

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

    • -8
    • -2
    • -7
    • -6