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.

   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. 2.

   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
3. 3.

   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
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.

   Bo unwraps a gift with a puzzle card inside. Which expression is equal to 14x + 35?

   • 7(5x + 2)
   • 49x
   • 7(2x + 5)
   • 7(2x + 35)
7. 7.

   Esme finds a puzzle in the mailbox, folded in three. Which expression is equal to 18x + 27?

   • 9(2x + 3)
   • 45x
   • 9(2x + 27)
   • 9(3x + 2)
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)