Distributive Property

What is the main idea behind the Distributive Property?

• It allows a factor to be multiplied by the sum or difference of terms inside a group.

• It allows a factor to be multiplied by the product or quotient of terms inside a group.

• It changes the order of terms in an expression.

• It simplifies an expression by combining all numbers first.

What is the distributed form of the expression 3(x + 6)?

• 3x + 6

• 3x + 18

• 9x

• 3x + 36

Which of the following represents the general algebraic form of the Distributive Property?

• a + (b + c) = (a + b) + c

• a * (b + c) = (a * b) + (a * c)

• a * (b * c) = (a * b) * c

• a + (b * c) = (a + b) * c

The Distributive Property does NOT apply to group members that are being combined by which operations?

• Addition

• Subtraction

• Multiplication and Division

• Addition and Subtraction

What is the result of distributing 2 to the expression (3x + 5y)?

• 6x + 5y

• 3x + 10y

• 6x + 10y

• 15xy

Distribute 4 to the polynomial (x² + 3x - 5).

• 4x² + 3x - 5

• 4x² + 12x - 20

• x² + 12x - 20

• 4x² + 12x - 5

Simplify the expression x(x² - 8x + 2).

• x² - 8x + 2x

• x³ - 8x² + 2

• x³ - 8x² + 2x

• x³ - 8x + 2

Factor out the common numerical factor from the polynomial 8x + 6y + 4z.

• 4(2x + 3y + z)

• 2(4x + 3y + 2z)

• 2(8x + 6y + 4z)

• 4(2x + 6y + 4z)