Equivalent Expressions with the Distributive Property

• A

• B

• C

• D

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

Which expression is equivalent to 9(p + 4)?

• 9p - 36

• 9p + 36

• 9p + 4

• 9p - 4

Which expression is equivalent to 4(3x + 5)?

• 12x - 5

• 12x - 20

• 12x + 20

• 12x + 5

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.

Which expression is equivalent to 2(y + 7)?

• 2y - 14

• 2y - 7

• 2y + 14

• 2y + 7

Simplify the expression:

8(5 + w)

• 40 + w

• 40+8w

• 85 + 8w

• 13+8w

Simplify   2(3x + 5)