Distributive Property

What is an example of using the Distributive Property with negative numbers?

• -2(3 - x) = -6 + 2x.

• -3(2 + x) = -6 - 3x.

• -1(4 - y) = 4 - y.

• -5(1 + z) = -5 - 5z.

What is the result of -3(2y + 4)?

• -6y - 12

• -6y + 12

• 6y - 12

• 6y + 12

What is the result of 7(a + b + c)?

• 7a + 7b + 7c

• 7a + b + c

• 7(a + b) + c

• 7a + 7b + 7c + 7

How do you simplify expressions using the Distributive Property?

• Add the terms inside the parentheses together.

• Multiply each term inside the parentheses by the term outside.

• Subtract the term outside from each term inside the parentheses.

• Divide each term inside the parentheses by the term outside.

What happens when you distribute a negative number?

• It leaves the signs of the terms unchanged.

• It changes the signs of the terms inside the parentheses.

• It multiplies the terms by zero.

• It adds the terms together.

Apply the Distributive Property: -10(-3x - 5y)

• 30x + 50y

• -30x - 50y

• -30x + 50y

• 30x - 50y

Apply the Distributive Property: (-n + 3)(-8)

• -8n + 24

• 8n - 24

• -8n - 24

• 8n + 24

Apply the Distributive Property: 6(x + y + 7)

• 6x + 6y + 42

• 6x + 7y + 6

• 6x + 42 + y

• 7x + 6y + 6

What is the Distributive Property?

• The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

• The Distributive Property states that a + b = ab. It allows you to add two or more terms together.

• The Distributive Property states that a(b - c) = ab - ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

• The Distributive Property states that a(b + c) = a + b + c. It allows you to distribute a term across a sum.

Apply the Distributive Property: 3x(9 + 2y - 3z)

• 27x + 6xy - 9xz

• 30x + 6xy - 9xz

• 27x + 5xy - 9xz

• 27x + 6xy - 8xz