Equivalent Expressions with Distributive Property

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

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Simplify the expression

11(9 + d)

• 99 + d

• 20 + 9d

• 20 + d

• 99+11d

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

• 9p - 36

• 9p + 36

• 9p + 4

• 9p - 4

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

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Which expression is equivalent to 3(x + 10)?

• 3x - 30

• 3x - 10

• 3x + 10

• 3x + 30

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.

Simplify   2(3x + 5)

Simplify the expression:

8(5 + w)

• 40 + w

• 40+8w

• 85 + 8w

• 13+8w

Which expression is equivalent to 6(x + 12)?

• 6x + 12

• 6x + 72

• 6x - 72

• 6x - 12

Which expression is equivalent to 8(7 + 9) because of the distributive property?

• (8 x 7) - (8 x 9)

• (8 + 7) + (8 + 9)

• (8 x 7) + (8 x 9)

• (8 + 7) - (8 + 9)