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. 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?

  2. 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?

  3. 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?

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

    • x + 8
    • 2x + 12
    • 2x + 6
    • 12x
  5. Milo opens an envelope with a puzzle inside. Which expression is equal to 4(x + 5)?

    • 4x + 20
    • 20x
    • 4x + 5
    • x + 9
  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. 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?

  8. Zee solves a clue. Join the bars of x and keep the plain number apart. How would Zee combine like terms in 3x + 4 + 2x, using as few terms as possible?

  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
    • 3(2x + 3)
    • 3(2x + 9)
    • 2(3x + 3)
PencilGopencilgo.com

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

    • x + 8
    • 2x + 12
    • 2x + 6
    • 12x
  5. Milo opens an envelope with a puzzle inside. Which expression is equal to 4(x + 5)?

    • 4x + 20
    • 20x
    • 4x + 5
    • x + 9
  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. 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
  8. Zee solves a clue. Join the bars of x and keep the plain number apart. How would Zee combine like terms in 3x + 4 + 2x, using as few terms as possible?

    5x + 4
  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
    • 3(2x + 3)
    • 3(2x + 9)
    • 2(3x + 3)