Expand and factor expressions

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Kira has one minute on the clock, and it ticks loudly. The x pieces in 7(3x + 2) make 21x. How would Kira write all of it without parentheses, with as few terms as possible?

  2. Luz digs a puzzle card out of a backpack. The x pieces in 6(x + 7) make 6x. How would Luz write all of it without parentheses, with as few terms as possible?

  3. Milo writes the puzzle in blue pen, very boldly. How would Milo write 3(x + 8) without parentheses, with as few terms as possible?

  4. A friendly robot hands Pia a puzzle with a beep. How would Pia write 2(5x + 6) without parentheses, with as few terms as possible?

  5. Zee earns a star for every neat puzzle. How would Zee write 10x + 35 with 5 taken out, using parentheses?

  6. Ari wears a crown for the puzzle of the day. Which expression is equal to 15x + 25?

    • 5(3x + 25)
    • 5(5x + 3)
    • 40x
    • 5(3x + 5)
  7. Bo unwraps a gift with a puzzle card inside. Which expression is equal to 14x + 35?

    • 7(5x + 2)
    • 7(2x + 35)
    • 7(2x + 5)
    • 49x
  8. Each of Jun's 3 boxes holds x pencils and 5 erasers. How many pencils and erasers in all, with no parentheses?

  9. Each of Kira's 5 boxes holds x crayons and 4 stickers. How many crayons and stickers in all, with no parentheses?

  10. Pia has 10x + 25 pencils to share equally among 5 friends. How would Pia write the total as 5 equal groups, using parentheses?

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Expand and factor expressions

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

  1. Kira has one minute on the clock, and it ticks loudly. The x pieces in 7(3x + 2) make 21x. How would Kira write all of it without parentheses, with as few terms as possible?

    21x + 14
  2. Luz digs a puzzle card out of a backpack. The x pieces in 6(x + 7) make 6x. How would Luz write all of it without parentheses, with as few terms as possible?

    6x + 42
  3. Milo writes the puzzle in blue pen, very boldly. How would Milo write 3(x + 8) without parentheses, with as few terms as possible?

    3x + 24
  4. A friendly robot hands Pia a puzzle with a beep. How would Pia write 2(5x + 6) without parentheses, with as few terms as possible?

    10x + 12
  5. Zee earns a star for every neat puzzle. How would Zee write 10x + 35 with 5 taken out, using parentheses?

    5(2x + 7)
  6. Ari wears a crown for the puzzle of the day. Which expression is equal to 15x + 25?

    • 5(3x + 25)
    • 5(5x + 3)
    • 40x
    • 5(3x + 5)
  7. Bo unwraps a gift with a puzzle card inside. Which expression is equal to 14x + 35?

    • 7(5x + 2)
    • 7(2x + 35)
    • 7(2x + 5)
    • 49x
  8. Each of Jun's 3 boxes holds x pencils and 5 erasers. How many pencils and erasers in all, with no parentheses?

    3x + 15
  9. Each of Kira's 5 boxes holds x crayons and 4 stickers. How many crayons and stickers in all, with no parentheses?

    5x + 20
  10. Pia has 10x + 25 pencils to share equally among 5 friends. How would Pia write the total as 5 equal groups, using parentheses?

    5(2x + 5)