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.

   Noah sharpens a pencil down to a stub for this puzzle. How would Noah write 6(x/3 + 1/2) without parentheses, with as few terms as possible?

   2x + 3
3. 3.

   Zee digs a puzzle card out of a backpack. How would Zee write -4(x − 2) + 3x without parentheses, with as few terms as possible?

   -x + 8
4. 4.

   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
5. 5.

   Jun starts the timer, and it beeps like a chicken. Which expression is equal to 3x/4 + 9/4?

   • 3x
   • (3/4)(x + 9/4)
   • (3/4)(x + 3)
   • (3/4)(3x + 1)
6. 6.

   The math bell rings, and Kira grabs the puzzle. Which expression is equal to x/3 + 2/3?

   • (1/3)(x + 2)
   • (1/3)(2x + 1)
   • x
   • (1/3)(x + 2/3)
7. 7.

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

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

   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
9. 9.

   Each level gives x points for stars and takes 2 for puddles. After 3 levels, Tala gets a 5-point bonus. What is the total, with no parentheses?

   3x − 1
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