Equivalent expressions and the distributive property

Grade 6 Math Worksheet

NameDate

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

  1. Jun sets the timer for a speed round. How would Jun write 7(x + 4) without parentheses, with as few terms as possible?

  2. Kira studies a puzzle under the lamp, which hums happily. How would Kira write 8(x + 3) without parentheses, with as few terms as possible?

  3. Milo follows a clue on the map. How would Milo write 6(x − 5) without parentheses, with as few terms as possible?

  4. A clue is taped to Pia's backpack. Which expression is equal to 3(x − 4)?

    • 3x − 4
    • 3x − 12
    • 12x
    • x − 7
  5. Ren plays a number game on the phone. Which expression is equal to 9(x − 2)?

    • 9x − 2
    • x − 11
    • 18x
    • 9x − 18
  6. Ari opens the math book to a puzzle. How would Ari write x + 6x as one term?

  7. Bo follows a clue on the map. How would Bo write 5x + x as one term?

  8. Esme copies a clue onto paper. How would Esme write x + x + x + x as one term?

  9. A clue is taped to Jun's backpack. How would Jun write x + x + x + x + x as one term?

  10. Luz finds a riddle in the lunchbox. How would Luz combine like terms in 8x + 9 + 5x, using as few terms as possible?

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Equivalent expressions and the distributive property

Answer Key - Grade 6 Math Worksheet

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

  1. Jun sets the timer for a speed round. How would Jun write 7(x + 4) without parentheses, with as few terms as possible?

    7x + 28
  2. Kira studies a puzzle under the lamp, which hums happily. How would Kira write 8(x + 3) without parentheses, with as few terms as possible?

    8x + 24
  3. Milo follows a clue on the map. How would Milo write 6(x − 5) without parentheses, with as few terms as possible?

    6x − 30
  4. A clue is taped to Pia's backpack. Which expression is equal to 3(x − 4)?

    • 3x − 4
    • 3x − 12
    • 12x
    • x − 7
  5. Ren plays a number game on the phone. Which expression is equal to 9(x − 2)?

    • 9x − 2
    • x − 11
    • 18x
    • 9x − 18
  6. Ari opens the math book to a puzzle. How would Ari write x + 6x as one term?

    7x
  7. Bo follows a clue on the map. How would Bo write 5x + x as one term?

    6x
  8. Esme copies a clue onto paper. How would Esme write x + x + x + x as one term?

    4x
  9. A clue is taped to Jun's backpack. How would Jun write x + x + x + x + x as one term?

    5x
  10. Luz finds a riddle in the lunchbox. How would Luz combine like terms in 8x + 9 + 5x, using as few terms as possible?

    13x + 9