Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

How do you apply the Distributive Property to the expression 5(4j + 2)?

Back

You multiply 5 by each term inside the parentheses: 5 * 4j + 5 * 2 = 20j + 10.

Front

What is the result of applying the Distributive Property to 7(2f + 3)?

Back

The result is 14f + 21.

Front

When using the Distributive Property, what do you do with negative numbers?

Back

You distribute the negative number across the terms in the parentheses, changing their signs.

Front

What is the result of 10(2a + 1) using the Distributive Property?

Back

The result is 20a + 10.

Front

How can the Distributive Property help in simplifying expressions?

Back

It allows you to break down complex expressions into simpler parts, making calculations easier.

Front

What is the result of 4(8n + 2) when applying the Distributive Property?

Back

The result is 32n + 8.

Front

Can the Distributive Property be used with variables?

Back

Yes, the Distributive Property can be applied to expressions with variables just like it is with numbers.

Front

What is the result of 6(2r + 10) using the Distributive Property?

Back

The result is 12r + 60.

Front

How does the Distributive Property relate to combining like terms?

Back

After distributing, you can combine like terms to simplify the expression further.