5.4 The 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 number by a sum or difference.

Front

Simplify: 12(3x + 2/3)

Back

36x + 8

Front

Simplify: ½(4x - 10)

Back

2x - 5

Front

Which of the following is equivalent to 3(x + 10)?

Back

3x + 30

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Front

Which of the following are like terms? 3x, 5x or 3x, 5?

Back

3x, 5x

Front

What does it mean for terms to be 'like terms'?

Back

Like terms are terms that have the same variable raised to the same power.

Front

If you have 5(x + 2), what is the simplified expression?

Back

5x + 10

Front

What is the result of applying the Distributive Property to 4(2x + 3)?

Back

8x + 12

Front

How do you apply the Distributive Property to negative numbers?

Back

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