Expand and factor expressions

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Milo puts on glasses to read very tiny print. How would Milo write 4(x/2 − 3/4) without parentheses, with as few terms as possible?

   2x − 3
2. 2.

   Pia copies a puzzle onto paper, then doodles a cat in the corner. How would Pia write -2(3x/4 + 1/2) without parentheses, with as few terms as possible?

   -3x/2 − 1
3. 3.

   Ren spots a puzzle at the back of a book. How would Ren write 3(x + 2) + 4x without parentheses, with as few terms as possible?

   7x + 6
4. 4.

   Ari writes the puzzle in blue pen, very boldly. How would Ari write 8x − 3(2x − 5) without parentheses, with as few terms as possible?

   2x + 15
5. 5.

   Bo finds a puzzle hiding on the classroom calendar. How would Bo write 5 − 2(x + 4) without parentheses, with as few terms as possible?

   -2x − 3
6. 6.

   A friendly robot hands Esme a puzzle with a beep. How would Esme write 7x − 4(x − 1.5) without parentheses, with as few terms as possible?

   3x + 6
7. 7.

   Noah unwraps a gift with a puzzle card inside. Which expression is equal to 9 − 3(x + 2)?

   • -3x + 3
   • -3x + 15
   • -3x + 11
   • -3x − 3
8. 8.

   Pia finds a puzzle in the mailbox, folded in three. Which expression is equal to -2(x + 5) + 7x?

   • 5x + 5
   • 9x + 10
   • 5x + 10
   • 5x − 10
9. 9.

   Each of Ren's 4 boxes holds x pencils and 3 erasers. There are also 2 loose pencils. How many pencils and erasers in all, with no parentheses?

   4x + 14
10. 10.

    Each level gives x points for stars and takes 3 for puddles. After 5 levels, Zee gets a 4-point bonus. What is the total, with no parentheses?

    5x − 11