Absolute value equations

Grade 9 Math Worksheet - Challenge Me

NameDate

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

  1. Kira solves |2x - 3| = 7 on paper. Which two numbers make it true, written with a comma between?

  2. Luz solves |3x + 6| = 12 with a pencil. Which two numbers make it true, written with a comma between?

  3. Milo solves |4x - 8| = 4 in a math notebook. Which two numbers make it true, written with a comma between?

  4. Noah solves |5x + 5| = 10 on paper. Which two numbers make it true, written with a comma between?

  5. Ren solves |x + 1| / 3 - 2 = 1 in a math notebook. Which two numbers make it true, written with a comma between?

  6. Tala solves |x - 5| / 4 + 3 = 5 on paper. Which two numbers make it true, written with a comma between?

  7. Zee solves |x + 4| / 2 - 1 = 2 with a pencil. Which two numbers make it true, written with a comma between?

  8. Ari solves |3x - 9| = 12 on paper and marks both solutions on a number line. How far apart are the two marks?

  9. Bo solves |4x + 8| = 20 in a math notebook and marks both solutions on a number line. How far apart are the two marks?

  10. Jun solves |3x - 3| = 6 on paper and marks both solutions on a number line. How far apart are the two marks?

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Absolute value equations

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

  1. Kira solves |2x - 3| = 7 on paper. Which two numbers make it true, written with a comma between?

    -2, 5
  2. Luz solves |3x + 6| = 12 with a pencil. Which two numbers make it true, written with a comma between?

    -6, 2
  3. Milo solves |4x - 8| = 4 in a math notebook. Which two numbers make it true, written with a comma between?

    1, 3
  4. Noah solves |5x + 5| = 10 on paper. Which two numbers make it true, written with a comma between?

    -3, 1
  5. Ren solves |x + 1| / 3 - 2 = 1 in a math notebook. Which two numbers make it true, written with a comma between?

    -10, 8
  6. Tala solves |x - 5| / 4 + 3 = 5 on paper. Which two numbers make it true, written with a comma between?

    -3, 13
  7. Zee solves |x + 4| / 2 - 1 = 2 with a pencil. Which two numbers make it true, written with a comma between?

    -10, 2
  8. Ari solves |3x - 9| = 12 on paper and marks both solutions on a number line. How far apart are the two marks?

    8
  9. Bo solves |4x + 8| = 20 in a math notebook and marks both solutions on a number line. How far apart are the two marks?

    10
  10. Jun solves |3x - 3| = 6 on paper and marks both solutions on a number line. How far apart are the two marks?

    4