Distributive Property

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 4(x - 9)?

Back

You multiply 4 by both x and -9, resulting in 4x - 36.

Front

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

Back

The result is 6x + 21.

Front

When using the Distributive Property on 7(7x + 7), what do you get?

Back

You get 49x + 49.

Front

What is the outcome of distributing 4 in the expression 4(3x - 4)?

Back

The outcome is 12x - 16.

Front

How does the Distributive Property apply to negative coefficients, such as in -2(6x - 9)?

Back

You distribute -2 to both 6x and -9, resulting in -12x + 18.

Front

Can the Distributive Property be used with variables and constants?

Back

Yes, the Distributive Property can be applied to expressions involving both variables and constants.

Front

What is an example of a real-world application of the Distributive Property?

Back

Calculating total costs, such as finding the total price of multiple items with different prices.

Front

What is the first step in applying the Distributive Property?

Back

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

Front

How can you check your work after applying the Distributive Property?

Back

You can combine like terms and compare the result to the original expression.