Equivalent expressions and the distributive property

Grade 6 Math Worksheet - Challenge Me

NameDate

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

  1. Ren checks the clock before a quiz. How would Ren write 5(3x + 2) without parentheses, with as few terms as possible?

  2. Zee studies a puzzle under the lamp, which hums happily. How would Zee write 3(x + 1.5) without parentheses, with as few terms as possible?

  3. Bo puts on glasses to read tiny print. How would Bo write 5(x − 0.4) without parentheses, with as few terms as possible?

  4. A very serious pencil helps Esme crack a secret code. How would Esme write 4(x − 2.5) without parentheses, with as few terms as possible?

  5. Jun opens an envelope with a puzzle inside. How would Jun write 2x + 3x + 4x as one term?

  6. Kira checks the clock before a quiz. How would Kira write 3x + 5x + 6x as one term?

  7. Luz sets the timer for a speed round. How would Luz combine like terms in 3x + 4 + 2x + 5, using as few terms as possible?

  8. Noah opens the math book to a puzzle. How would Noah combine like terms in 7x + 1 + 4x + 3, using as few terms as possible?

  9. Pia follows a clue on the map. Which expression writes 18x + 24 using the greatest common factor?

    • 2(9x + 12)
    • 3(6x + 8)
    • 6(3x + 24)
    • 6(3x + 4)
  10. Ren copies a clue onto paper. Which expression writes 16x + 40 using the greatest common factor?

    • 4(4x + 10)
    • 8(2x + 5)
    • 2(8x + 20)
    • 8(2x + 40)
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Equivalent expressions and the distributive property

Answer Key - Grade 6 Math Worksheet - Challenge Me

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

  1. Ren checks the clock before a quiz. How would Ren write 5(3x + 2) without parentheses, with as few terms as possible?

    15x + 10
  2. Zee studies a puzzle under the lamp, which hums happily. How would Zee write 3(x + 1.5) without parentheses, with as few terms as possible?

    3x + 4.5
  3. Bo puts on glasses to read tiny print. How would Bo write 5(x − 0.4) without parentheses, with as few terms as possible?

    5x − 2
  4. A very serious pencil helps Esme crack a secret code. How would Esme write 4(x − 2.5) without parentheses, with as few terms as possible?

    4x − 10
  5. Jun opens an envelope with a puzzle inside. How would Jun write 2x + 3x + 4x as one term?

    9x
  6. Kira checks the clock before a quiz. How would Kira write 3x + 5x + 6x as one term?

    14x
  7. Luz sets the timer for a speed round. How would Luz combine like terms in 3x + 4 + 2x + 5, using as few terms as possible?

    5x + 9
  8. Noah opens the math book to a puzzle. How would Noah combine like terms in 7x + 1 + 4x + 3, using as few terms as possible?

    11x + 4
  9. Pia follows a clue on the map. Which expression writes 18x + 24 using the greatest common factor?

    • 2(9x + 12)
    • 3(6x + 8)
    • 6(3x + 24)
    • 6(3x + 4)
  10. Ren copies a clue onto paper. Which expression writes 16x + 40 using the greatest common factor?

    • 4(4x + 10)
    • 8(2x + 5)
    • 2(8x + 20)
    • 8(2x + 40)