Equivalent expressions and the distributive property

Answer Key - Grade 6 Math Worksheet - Challenge Me

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

1. 1.

   Pia opens an envelope with a puzzle inside. How would Pia write 3(2x + 5) without parentheses, with as few terms as possible?

   6x + 15
2. 2.

   Ren checks the clock before a quiz. How would Ren write 5(3x + 2) without parentheses, with as few terms as possible?

   15x + 10
3. 3.

   Tala sets the timer for a speed round. How would Tala write 6(2x + 3) without parentheses, with as few terms as possible?

   12x + 18
4. 4.

   Zee studies a puzzle under the lamp, which hums happily. How would Zee write 3(x + 1.5) without parentheses, with as few terms as possible?

   3x + 4.5
5. 5.

   Bo puts on glasses to read tiny print. How would Bo write 5(x − 0.4) without parentheses, with as few terms as possible?

   5x − 2
6. 6.

   Jun opens an envelope with a puzzle inside. How would Jun write 2x + 3x + 4x as one term?

   9x
7. 7.

   Luz sets the timer for a speed round. How would Luz combine like terms in 3x + 4 + 2x + 5, using as few terms as possible?

   5x + 9
8. 8.

   Pia follows a clue on the map. Which expression writes 18x + 24 using the greatest common factor?

   • 6(3x + 24)
   • 6(3x + 4)
   • 3(6x + 8)
   • 2(9x + 12)
9. 9.

   Ren copies a clue onto paper. Which expression writes 16x + 40 using the greatest common factor?

   • 8(2x + 40)
   • 8(2x + 5)
   • 4(4x + 10)
   • 2(8x + 20)
10. 10.

    A clue is taped to Tala's backpack. Which expression writes 30x + 45 using the greatest common factor?

    • 15(2x + 45)
    • 3(10x + 15)
    • 5(6x + 9)
    • 15(2x + 3)