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. Luz opens the math book to a puzzle. How would Luz write 4(x − 2) 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)?

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

    • 9x − 18
    • 9x − 2
    • 18x
    • x − 11
  6. Tala finds a riddle in the lunchbox. How would Tala write 7x + 5x as one term?

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

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

  9. Kira plays a number game on the phone. How would Kira combine like terms in 6x + 7 + 4x, using as few terms as possible?

  10. A very serious pencil helps Noah crack a secret code. Which expression is equal to 12x + 30?

    • 42x
    • 2(6x + 5)
    • 6(2x + 30)
    • 6(2x + 5)
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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. Luz opens the math book to a puzzle. How would Luz write 4(x − 2) without parentheses, with as few terms as possible?

    4x − 8
  4. A clue is taped to Pia's backpack. Which expression is equal to 3(x − 4)?

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

    • 9x − 18
    • 9x − 2
    • 18x
    • x − 11
  6. Tala finds a riddle in the lunchbox. How would Tala write 7x + 5x as one term?

    12x
  7. Esme copies a clue onto paper. How would Esme write x + x + x + x as one term?

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

    5x
  9. Kira plays a number game on the phone. How would Kira combine like terms in 6x + 7 + 4x, using as few terms as possible?

    10x + 7
  10. A very serious pencil helps Noah crack a secret code. Which expression is equal to 12x + 30?

    • 42x
    • 2(6x + 5)
    • 6(2x + 30)
    • 6(2x + 5)