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.

   Noah sketches 3x + 2x − 3 = 27 as bars on lined paper, very neatly. What is x?

   6
4. 4.

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

   4
5. 5.

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

   4
6. 6.

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

   -2
7. 7.

   Bo's quiz begins with 3(x + 2) + 4 = 25, and the pencil is already worn down. What is x?

   5
8. 8.

   Luz tests four guesses for 2x + 4x + 3 = 45. Which value of x makes it true?

   • 7
   • 21
   • 5
   • 8
9. 9.

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

   • 6
   • 11
   • 8
   • 5
10. 10.

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

    • 8
    • 11
    • 7
    • 12