Equivalent expressions and the distributive property

Grade 6 Math Worksheet - Building Confidence

NameDate

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

  1. Ari copies a clue onto paper. The x parts of 2(x + 5) make 2x. How would Ari write all of 2(x + 5) without parentheses, with as few terms as possible?

  2. Esme plays a number game on the phone. The x parts of 5(x + 2) make 5x. How would Esme write all of 5(x + 2) without parentheses, with as few terms as possible?

  3. Jun finds a riddle in the lunchbox. Think of 3 bars, each cut into x and 4. How would Jun write 3(x + 4) without parentheses, with as few terms as possible?

  4. Kira puts on glasses to read tiny print. Think of 6 bars, each cut into x and 2. How would Kira write 6(x + 2) without parentheses, with as few terms as possible?

  5. Milo opens an envelope with a puzzle inside. Which expression is equal to 4(x + 5)?

    • 4x + 5
    • 4x + 20
    • x + 9
    • 20x
  6. Pia sets the timer for a speed round. The bars add up: 3 + 5 = 8 bars of x. How would Pia write 3x + 5x as one term?

  7. Ren studies a puzzle under the lamp, which hums happily. Think of 2 bars of x end to end. How would Ren write x + x as one term?

  8. Tala opens the math book to a puzzle. Think of 3 bars of x end to end. How would Tala write x + x + x as one term?

  9. Ari solves a clue. Join the bars of x and keep the plain number apart. How would Ari combine like terms in 5x + 4 + 3x, using as few terms as possible?

  10. Bo opens an envelope with a puzzle inside. Which expression is equal to 6x + 9?

    • 15x
    • 2(3x + 3)
    • 3(2x + 9)
    • 3(2x + 3)
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Equivalent expressions and the distributive property

Answer Key - Grade 6 Math Worksheet - Building Confidence

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

  1. Ari copies a clue onto paper. The x parts of 2(x + 5) make 2x. How would Ari write all of 2(x + 5) without parentheses, with as few terms as possible?

    2x + 10
  2. Esme plays a number game on the phone. The x parts of 5(x + 2) make 5x. How would Esme write all of 5(x + 2) without parentheses, with as few terms as possible?

    5x + 10
  3. Jun finds a riddle in the lunchbox. Think of 3 bars, each cut into x and 4. How would Jun write 3(x + 4) without parentheses, with as few terms as possible?

    3x + 12
  4. Kira puts on glasses to read tiny print. Think of 6 bars, each cut into x and 2. How would Kira write 6(x + 2) without parentheses, with as few terms as possible?

    6x + 12
  5. Milo opens an envelope with a puzzle inside. Which expression is equal to 4(x + 5)?

    • 4x + 5
    • 4x + 20
    • x + 9
    • 20x
  6. Pia sets the timer for a speed round. The bars add up: 3 + 5 = 8 bars of x. How would Pia write 3x + 5x as one term?

    8x
  7. Ren studies a puzzle under the lamp, which hums happily. Think of 2 bars of x end to end. How would Ren write x + x as one term?

    2x
  8. Tala opens the math book to a puzzle. Think of 3 bars of x end to end. How would Tala write x + x + x as one term?

    3x
  9. Ari solves a clue. Join the bars of x and keep the plain number apart. How would Ari combine like terms in 5x + 4 + 3x, using as few terms as possible?

    8x + 4
  10. Bo opens an envelope with a puzzle inside. Which expression is equal to 6x + 9?

    • 15x
    • 2(3x + 3)
    • 3(2x + 9)
    • 3(2x + 3)