Equivalent expressions and the distributive property

Answer Key - Grade 6 Math Worksheet

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

1. 1.

   Noah copies a clue onto paper. How would Noah write 7(x − 3) without parentheses, with as few terms as possible?

   7x − 21
2. 2.

   A clue is taped to Pia's backpack. Which expression is equal to 3(x − 4)?

   • 3x − 12
   • 3x − 4
   • x − 7
   • 12x
3. 3.

   Ren plays a number game on the phone. Which expression is equal to 9(x − 2)?

   • x − 11
   • 9x − 2
   • 18x
   • 9x − 18
4. 4.

   Zee puts on glasses to read tiny print. How would Zee write 9x + 4x as one term?

   13x
5. 5.

   Ari opens the math book to a puzzle. How would Ari write x + 6x as one term?

   7x
6. 6.

   Bo follows a clue on the map. How would Bo write 5x + x as one term?

   6x
7. 7.

   Kira plays a number game on the phone. How would Kira combine like terms in 6x + 7 + 4x, using as few terms as possible?

   10x + 7
8. 8.

   Luz finds a riddle in the lunchbox. How would Luz combine like terms in 8x + 9 + 5x, using as few terms as possible?

   13x + 9
9. 9.

   Milo puts on glasses to read tiny print. Which expression is equal to 15x + 10?

   • 5(3x + 2)
   • 5(3x + 10)
   • 25x
   • 3(5x + 2)
10. 10.

    A very serious pencil helps Noah crack a secret code. Which expression is equal to 12x + 30?

    • 2(6x + 5)
    • 6(2x + 30)
    • 42x
    • 6(2x + 5)