Multi-step equations with fractions, decimals and brackets

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Noah has to take a bracket away: 20 − 2(x + 3) = 4. What is x?

  2. Ren's card says 10 − 4(x + 1) = -6, and the right side is below zero today. What is x?

  3. Tala unwraps 22 − 3(x + 1) = -5 very carefully. What is x?

  4. Zee meets a half outside the brackets: (1/2)(x − 4) + 3 = 9. What is x?

  5. Bo faces fourths in (3/4)(x + 4) − 2 = 7. What is x?

  6. Jun's garden bed is a rectangle. Its length is 4 feet more than its width, and the fence around it is 28 feet. How many feet wide is the bed?

  7. Luz's card has the total on the left: 41 = 3(x + 2) + 2x. What is x?

  8. Milo turns 50 = 2(x − 3) + 5x around before solving it. What is x?

  9. Pia tests four values for 17 − 2(x − 2) = 5. Which value of x makes it true?

    • 7
    • 8
    • -4
    • 4
  10. Tala has four possible answers for 63 = 3(x + 3) + 3x. Which value of x makes it true?

    • 9
    • 18
    • 10
    • 12
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Multi-step equations with fractions, decimals and brackets

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Noah has to take a bracket away: 20 − 2(x + 3) = 4. What is x?

    5
  2. Ren's card says 10 − 4(x + 1) = -6, and the right side is below zero today. What is x?

    3
  3. Tala unwraps 22 − 3(x + 1) = -5 very carefully. What is x?

    8
  4. Zee meets a half outside the brackets: (1/2)(x − 4) + 3 = 9. What is x?

    16
  5. Bo faces fourths in (3/4)(x + 4) − 2 = 7. What is x?

    8
  6. Jun's garden bed is a rectangle. Its length is 4 feet more than its width, and the fence around it is 28 feet. How many feet wide is the bed?

    5
  7. Luz's card has the total on the left: 41 = 3(x + 2) + 2x. What is x?

    7
  8. Milo turns 50 = 2(x − 3) + 5x around before solving it. What is x?

    8
  9. Pia tests four values for 17 − 2(x − 2) = 5. Which value of x makes it true?

    • 7
    • 8
    • -4
    • 4
  10. Tala has four possible answers for 63 = 3(x + 3) + 3x. Which value of x makes it true?

    • 9
    • 18
    • 10
    • 12