Expand and factor expressions

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   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
2. 2.

   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
3. 3.

   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
4. 4.

   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)
5. 5.

   The math bell rings, and Tala grabs the puzzle. How would Tala write 9x + 15 with 3 taken out, using parentheses?

   3(3x + 5)
6. 6.

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

   • 5(3x + 5)
   • 5(3x + 25)
   • 40x
   • 5(5x + 3)
7. 7.

   Each of Jun's 3 boxes holds x pencils and 5 erasers. How many pencils and erasers in all, with no parentheses?

   3x + 15
8. 8.

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

   5x + 20
9. 9.

   Noah has 10x + 15 shells to share equally among 5 friends. How would Noah write the total as 5 equal groups, using parentheses?

   5(2x + 3)
10. 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)