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: 2(c - 8)

Back

2c - 16

Front

Apply the Distributive Property: 3(2c - 5)

Back

6c - 15

Front

Apply the Distributive Property: 8(x + 5)

Back

8x + 40

Front

Apply the Distributive Property: 5(a + 6)

Back

5a + 30

Front

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

Back

Example: 4(-x + 3) = -4x + 12.

Front

How do you simplify the expression 7(2x + 4)?

Back

14x + 28

Front

What is the result of applying the Distributive Property to 10(3y - 2)?

Back

30y - 20

Front

If you have the expression 6(2 + x), what is the simplified form?

Back

12 + 6x

Front

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

Back

Factoring means rewriting an expression as a product of its factors, e.g., 12x + 8 = 4(3x + 2).