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

What is an example of using the Distributive Property?

Back

For example, using the Distributive Property: 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

How do you apply the Distributive Property to 4(x + 7)?

Back

You multiply 4 by both x and 7: 4(x + 7) = 4x + 28.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression.

Front

Factor the expression: 20y - 5

Back

5(4y - 1) is the factored form of 20y - 5.

Front

What is the result of distributing 3(2c - 5)?

Back

The result is 6c - 15.

Front

Distribute: 2(c - 8)

Back

The result is 2c - 16.

Front

What is the result of distributing 10(z - 6)?

Back

The result is 10z - 60.

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If you have 5(x + 2), what is the expanded form?

Back

The expanded form is 5x + 10.