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: 9(3w + 1)

Back

27w + 9

Front

Apply the Distributive Property: 6(7k + 11)

Back

42k + 66

Front

Apply the Distributive Property: 7(2f + 3)

Back

14f + 21

Front

Apply the Distributive Property: 4(k + 7)

Back

4k + 28

Front

Apply the Distributive Property: 10(3y + 1)

Back

30y + 10

Front

What does it mean to 'distribute' in mathematics?

Back

To 'distribute' means to multiply each term inside the parentheses by the term outside the parentheses.

Front

If a = 5, b = 2, and c = 3, what is the result of 2(a + b + c)?

Back

2(5 + 2 + 3) = 2(10) = 20.

Front

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

Back

For example, -3(2x - 4) = -6x + 12.

Front

How can the Distributive Property help in simplifying expressions?

Back

It allows you to combine like terms and simplify expressions more easily.