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

  3. 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?

  4. Ari finds a riddle in the lunchbox. How would Ari write 8(x + 0.25) without parentheses, with as few terms as possible?

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

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

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

  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. 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?

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

    • 3(6x + 8)
    • 6(3x + 4)
    • 2(9x + 12)
    • 6(3x + 24)
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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. 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
  3. 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
  4. Ari finds a riddle in the lunchbox. How would Ari write 8(x + 0.25) without parentheses, with as few terms as possible?

    8x + 2
  5. 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
  6. Jun opens an envelope with a puzzle inside. How would Jun write 2x + 3x + 4x as one term?

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

    14x
  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. 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
  10. Pia follows a clue on the map. Which expression writes 18x + 24 using the greatest common factor?

    • 3(6x + 8)
    • 6(3x + 4)
    • 2(9x + 12)
    • 6(3x + 24)