Distributive Property

Front

What is the Distributive Property?

Back

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

Front

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

Back

You multiply 4 by both k and 7, resulting in 4k + 28.

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply each term inside parentheses by the factor outside the parentheses.

Front

How can you express 3 x 17 using the Distributive Property?

Back

You can express it as 3 x (10 + 7) = 3 x 10 + 3 x 7.

Front

What is the result of applying the Distributive Property to (x - 6)4?

Back

The result is 4x - 24.

Front

How do you simplify q(4 + 7) using the Distributive Property?

Back

You distribute q to both 4 and 7, resulting in 4q + 7q.

Front

Can you give an example of the Distributive Property with negative numbers?

Back

Yes, for example, -2(a - 3) = -2a + 6.

Front

What is the first step in using the Distributive Property?

Back

Identify the number outside the parentheses and the terms inside the parentheses.

Front

How does 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 relationship between the Distributive Property and factoring?

Back

Factoring is the reverse process of distribution; if you can distribute, you can also factor back.