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 6(x + y + 7)?

Back

You multiply each term inside the parentheses by 6, resulting in 6x + 6y + 42.

Front

Simplify the expression -8(6x + 3) using the Distributive Property.

Back

You distribute -8 to both terms inside the parentheses, resulting in -48x - 24.

Front

What is the result of applying the Distributive Property to 8(2x + 7)?

Back

Distributing 8 gives you 16x + 56.

Front

What does the expression 5(a + 6) simplify to using the Distributive Property?

Back

It simplifies to 5a + 30.

Front

What do parentheses indicate in an expression?

Back

Parentheses indicate that you should perform the operations inside them first, often involving multiplication when combined with a coefficient.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to expressions with subtraction, such as a(b - c) = ab - ac.

Front

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

Back

For example, -3(4 - 5) simplifies to -3*4 + -3*(-5) = -12 + 15 = 3.

Front

How does the Distributive Property help in simplifying expressions?

Back

It allows you to eliminate parentheses and combine like terms, making expressions easier to work with.

Front

What is the first step in applying the Distributive Property?

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.