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. A clue is taped to Bo's backpack. The x parts of 4(x + 3) make 4x. How would Bo write all of 4(x + 3) without parentheses, with as few terms as possible?

  3. 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?

  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. A very serious pencil helps Luz crack a secret code. Which expression is equal to 2(x + 6)?

    • 12x
    • 2x + 6
    • x + 8
    • 2x + 12
  6. Noah checks the clock before a quiz. The bars add up: 2 + 3 = 5 bars of x. How would Noah write 2x + 3x as one term?

  7. 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?

  8. 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?

  9. 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?

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

    • 2(3x + 3)
    • 15x
    • 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. A clue is taped to Bo's backpack. The x parts of 4(x + 3) make 4x. How would Bo write all of 4(x + 3) without parentheses, with as few terms as possible?

    4x + 12
  3. 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
  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. A very serious pencil helps Luz crack a secret code. Which expression is equal to 2(x + 6)?

    • 12x
    • 2x + 6
    • x + 8
    • 2x + 12
  6. Noah checks the clock before a quiz. The bars add up: 2 + 3 = 5 bars of x. How would Noah write 2x + 3x as one term?

    5x
  7. 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
  8. 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
  9. 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
  10. Bo opens an envelope with a puzzle inside. Which expression is equal to 6x + 9?

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