Factoring Expressions and Distributive Property

Identify an equivalent expression by factoring.

7x² - 21x

• 7x(x - 3)

• x²(7 - 21)

• x(7 - 21x)

• 7(x² - 3)

Use the distributive property to write an equivalent expression.

4x(5 + 2x + 9x)

• 20x + 8x + 36x

• 64x

• 20x + 8x² + 36x²

• 20x + 44x²

Use the distributive property to write an equivalent expression in simplest form.

x(3x - y + 4x)

• 3x² - xy + 4x²

• 7x² - xy

• 7x - xy

• -x² + xy

Identify an equivalent expression by factoring.

15x + 10

• 5(3x + 2)

• 3x(5 + 2)

• 1(5x + 0)

• 5x(3x + 2)

Identify an equivalent expression by factoring.

24x + 16

• 8(3x + 2)

• 2(4x + 8)

• 8x(3 + 2x)

• 3(8 + 2x)

Select all the expressions that are equivalent to 6(2x + 9y).

• 12x + 54y

• 12x + 9y

• 6(2x) + 9(y)

• 6(2x) + 6(9y)

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

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Factor 12x - 20

• 6(2x - 3)

• 4(3x - 5)

• 4x(3x - 5)

• 3(4x + 6)

Factor completely: 16 + 24x

• 8 ( 2 + 3x)

• 4 ( 4 + 7x)

• 8 ( 2 - 3x)

• 6 ( 4x + 3)

Select all the expressions that are equivalent to 3(5x + 4y).

• 15x + 7y

• 15x + 12y

• 15x + 4y

• 3(5x) + 3(4y)