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 to each addend.

Front

If 9(⊠ + 3) = 54 + 27, what is ⊠?

Back

6

Front

If 5(⊠ - 7) = 10 - 35, what is ⊠?

Back

2

Front

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

Back

Factoring an expression means rewriting it as a product of its factors, often using the Distributive Property to simplify the expression.

Front

What is the GCF (Greatest Common Factor) of 49 and 21?

Back

7

Front

Use the GCF and the Distributive Property to express 49 + 21 as a product.

Back

7(7 + 3)

Front

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

Back

For example, 4(2 + 5) = 4*2 + 4*5 = 8 + 20 = 28.

Front

How can you check your work when using the Distributive Property?

Back

You can check your work by simplifying both sides of the equation to see if they are equal.

Front

If 6 x 3 - 6 x 9, what is the equivalent expression using the Distributive Property?

Back

6(3 - 9)

Front

What is the result of applying the Distributive Property to 3(4 + 5)?

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.