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 by distributing the multiplication across the addends.

Front

How do you apply the Distributive Property to 16 + 24?

Back

You can factor out the GCF, which is 8, to rewrite it as 8(2 + 3).

Front

What is the GCF of 16 and 24?

Back

The GCF (Greatest Common Factor) of 16 and 24 is 8.

Front

Factor the expression 16x + 32.

Back

16x + 32 can be factored as 16(x + 2).

Front

What is the result of factoring 5x + 15?

Back

5x + 15 can be factored as 5(x + 3).

Front

How do you factor 8x - 10?

Back

8x - 10 can be factored as 2(4x - 5).

Front

What is the missing factor in the equation 30 + 12 = __(5 + 2)?

Back

The missing factor is 6.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to rewrite it as a product of its factors.

Front

What is an example of using the Distributive Property with variables?

Back

For example, a(2 + 3) = 2a + 3a.

Front

How can you check if your factoring is correct?

Back

You can check by distributing the factors back to see if you get the original expression.