Distributive Property

Front

What is the Distributive Property?

Back

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.

Front

Apply the Distributive Property: 3(4 + 5)

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is the result of -4(2m - n)?

Back

-4(2m - n) = -8m + 4n.

Front

What is the result of (10a - 3b)(-8)?

Back

(10a - 3b)(-8) = -80a + 24b.

Front

Apply the Distributive Property: 4(3x - 9y + 8z)

Back

4(3x - 9y + 8z) = 12x - 36y + 32z.

Front

What is the result of -(5b + 3c)?

Back

-(5b + 3c) = -5b - 3c.

Front

What is the result of -(3x - 11)?

Back

-(3x - 11) = -3x + 11.

Front

If a = 2, what is the value of 5(a + 3)?

Back

5(a + 3) = 5(2 + 3) = 5*5 = 25.

Front

What does it mean to factor an expression using the Distributive Property?

Back

Factoring an expression means rewriting it as a product of its factors, often by taking out a common factor.

Front

What is the result of 6(2x + 3y)?

Back

6(2x + 3y) = 12x + 18y.