Equivalent expressions and the distributive property

Answer Key - Grade 6 Math Worksheet - Building Confidence

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

1. 1.

   Ari copies a clue onto paper. The x parts of 2(x + 5) make 2x. How would Ari write all of 2(x + 5) without parentheses, with as few terms as possible?

   2x + 10
2. 2.

   Jun finds a riddle in the lunchbox. Think of 3 bars, each cut into x and 4. How would Jun write 3(x + 4) without parentheses, with as few terms as possible?

   3x + 12
3. 3.

   A very serious pencil helps Luz crack a secret code. Which expression is equal to 2(x + 6)?

   • 12x
   • 2x + 12
   • x + 8
   • 2x + 6
4. 4.

   Milo opens an envelope with a puzzle inside. Which expression is equal to 4(x + 5)?

   • 4x + 5
   • x + 9
   • 20x
   • 4x + 20
5. 5.

   Noah checks the clock before a quiz. The bars add up: 2 + 3 = 5 bars of x. How would Noah write 2x + 3x as one term?

   5x
6. 6.

   Ren studies a puzzle under the lamp, which hums happily. Think of 2 bars of x end to end. How would Ren write x + x as one term?

   2x
7. 7.

   Tala opens the math book to a puzzle. Think of 3 bars of x end to end. How would Tala write x + x + x as one term?

   3x
8. 8.

   Zee solves a clue. Join the bars of x and keep the plain number apart. How would Zee combine like terms in 3x + 4 + 2x, using as few terms as possible?

   5x + 4
9. 9.

   Bo opens an envelope with a puzzle inside. Which expression is equal to 6x + 9?

   • 3(2x + 3)
   • 2(3x + 3)
   • 3(2x + 9)
   • 15x
10. 10.

    Esme checks the clock before a quiz. Which expression is equal to 8x + 12?

    • 4(2x + 3)
    • 4(2x + 12)
    • 2(4x + 3)
    • 20x