Distributive Property Day 4

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the Distributive Property to the expression (6g + 4) • 6?

Back

You multiply each term inside the parentheses by 6: (6g + 4) • 6 = 6*6g + 6*4 = 36g + 24.

Front

What is the result of distributing 6 in the expression 6(-8y + 2)?

Back

Distributing 6 gives: 6 * -8y + 6 * 2 = -48y + 12.

Front

What happens when you distribute a negative sign in the expression -(5b + 3c)?

Back

Distributing the negative sign results in: -5b - 3c.

Front

How do you simplify the expression 7(-9y - 9) using the Distributive Property?

Back

Distributing 7 gives: 7 * -9y + 7 * -9 = -63y - 63.

Front

What is the result of distributing -8 in the expression (10a - 3b)(-8)?

Back

Distributing -8 gives: -8 * 10a + -8 * -3b = -80a + 24b.

Front

What is the first step in applying the Distributive Property?

Back

The first step is to identify the term outside the parentheses that will be distributed to each term inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction, as in a(b - c) = ab - ac.

Front

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

Back

For example, 3(x + 4) = 3x + 12.

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.