Multi-step equations with fractions, decimals and brackets

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Luz draws bars for 2x + 3x + 4 = 29, using a pencil that keeps getting shorter. What is x?

   5
2. 2.

   Milo colors the bars for 4x + x + 6 = 31 with a new crayon for each piece. What is x?

   5
3. 3.

   Pia draws 3x + 3x − 2 = 22 as bars and labels every piece in pen. What is x?

   4
4. 4.

   The math club warm-up is 5x + 2x − 5 = 23, and Tala wants to finish first. What is x?

   4
5. 5.

   Zee finds 2x + 4x + 9 = -3 on the bonus board. What is x?

   -2
6. 6.

   Ari works 4x + 3x − 8 = 27 out on paper and doodles in the margin. What is x?

   5
7. 7.

   Jun writes 4(x − 1) + 2 = 22 in pen, very boldly. What is x?

   6
8. 8.

   The next puzzle in Kira's book is 5(x + 1) − 2 = 18. What is x?

   3
9. 9.

   Noah checks a friend's paper answers to 3x + x − 2 = 22 before class. Which value of x makes it true?

   • 11
   • 8
   • 5
   • 6
10. 10.

    Pia tries four values in 4(x + 4) − 2 = 46. Which value of x makes it true?

    • 7
    • 12
    • 11
    • 8