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.

   Jun sets the timer for a speed round. How would Jun write 7(x + 4) without parentheses, with as few terms as possible?

   7x + 28
2. 2.

   Kira studies a puzzle under the lamp, which hums happily. How would Kira write 8(x + 3) without parentheses, with as few terms as possible?

   8x + 24
3. 3.

   Luz opens the math book to a puzzle. How would Luz write 4(x − 2) without parentheses, with as few terms as possible?

   4x − 8
4. 4.

   Milo follows a clue on the map. How would Milo write 6(x − 5) without parentheses, with as few terms as possible?

   6x − 30
5. 5.

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

   • 18x
   • 9x − 18
   • 9x − 2
   • x − 11
6. 6.

   Tala finds a riddle in the lunchbox. How would Tala write 7x + 5x as one term?

   12x
7. 7.

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

   6x
8. 8.

   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
9. 9.

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

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

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

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