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. Pia opens an envelope with a puzzle inside. How would Pia write 3(2x + 5) without parentheses, with as few terms as possible?

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

  3. Tala sets the timer for a speed round. How would Tala write 6(2x + 3) without parentheses, with as few terms as possible?

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

  5. 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?

  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. Milo studies a puzzle under the lamp, which hums happily. How would Milo combine like terms in 6x + 2 + 3x + 8, using as few terms as possible?

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

    • 6(3x + 24)
    • 3(6x + 8)
    • 2(9x + 12)
    • 6(3x + 4)
  10. A clue is taped to Tala's backpack. Which expression writes 30x + 45 using the greatest common factor?

    • 3(10x + 15)
    • 15(2x + 3)
    • 5(6x + 9)
    • 15(2x + 45)
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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. Pia opens an envelope with a puzzle inside. How would Pia write 3(2x + 5) without parentheses, with as few terms as possible?

    6x + 15
  2. Ren checks the clock before a quiz. How would Ren write 5(3x + 2) without parentheses, with as few terms as possible?

    15x + 10
  3. Tala sets the timer for a speed round. How would Tala write 6(2x + 3) without parentheses, with as few terms as possible?

    12x + 18
  4. 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
  5. 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
  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. Milo studies a puzzle under the lamp, which hums happily. How would Milo combine like terms in 6x + 2 + 3x + 8, using as few terms as possible?

    9x + 10
  9. Pia follows a clue on the map. Which expression writes 18x + 24 using the greatest common factor?

    • 6(3x + 24)
    • 3(6x + 8)
    • 2(9x + 12)
    • 6(3x + 4)
  10. A clue is taped to Tala's backpack. Which expression writes 30x + 45 using the greatest common factor?

    • 3(10x + 15)
    • 15(2x + 3)
    • 5(6x + 9)
    • 15(2x + 45)