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.

   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
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.

   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
6. 6.

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

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

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

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

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

   • -7x
   • x − 4
   • x + 8
   • x − 8
9. 9.

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

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

    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