Expand and factor expressions

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Jun spots a puzzle at the back of a book. The x pieces in 5(2x + 4) make 10x. How would Jun 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. Noah finds a puzzle hiding on the classroom calendar. How would Noah write 7(2x + 1) 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. Ren starts the timer, and it beeps like a chicken. How would Ren write 8x + 20 with 4 taken out, using parentheses?

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

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

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

    • 49x
    • 7(2x + 5)
    • 7(5x + 2)
    • 7(2x + 35)
  9. Each of Kira's 5 boxes holds x crayons and 4 stickers. How many crayons and stickers in all, with no parentheses?

  10. Each of Luz's 4 boxes holds x shells and 6 pebbles. How many shells and pebbles in all, with no 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. Jun spots a puzzle at the back of a book. The x pieces in 5(2x + 4) make 10x. How would Jun write all of it without parentheses, with as few terms as possible?

    10x + 20
  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. Noah finds a puzzle hiding on the classroom calendar. How would Noah write 7(2x + 1) without parentheses, with as few terms as possible?

    14x + 7
  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. Ren starts the timer, and it beeps like a chicken. How would Ren write 8x + 20 with 4 taken out, using parentheses?

    4(2x + 5)
  6. Zee earns a star for every neat puzzle. How would Zee write 10x + 35 with 5 taken out, using parentheses?

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

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

    • 49x
    • 7(2x + 5)
    • 7(5x + 2)
    • 7(2x + 35)
  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. Each of Luz's 4 boxes holds x shells and 6 pebbles. How many shells and pebbles in all, with no parentheses?

    4x + 24