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.

   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
3. 3.

   Tala has one minute on the clock, and it ticks loudly. How would Tala write 2(3x − 1) + 5 without parentheses, with as few terms as possible?

   6x + 3
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?

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

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

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

   Luz earns a star for every neat puzzle. Which expression is equal to 5x + 15/2?

   • 25x/2
   • (5/2)(2x + 3)
   • (5/2)(2x + 15/2)
   • (5/2)(3x + 2)
8. 8.

   Milo wears a crown for the puzzle of the day. Which expression is equal to 2(3x − 4) − 5x?

   • x − 4
   • x − 8
   • -7x
   • x + 8
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