Distributive Property with Variables

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(8n + 2)?

Back

You multiply 4 by each term inside the parentheses: 4 * 8n + 4 * 2 = 32n + 8.

Front

Simplify the expression 3(4 + 7y) using the Distributive Property.

Back

Distributing gives: 3 * 4 + 3 * 7y = 12 + 21y.

Front

What is the result of applying the Distributive Property to 3(3x + 1)?

Back

The result is 9x + 3.

Front

When simplifying 4(6x + 2), what is the final expression?

Back

The final expression is 24x + 8.

Front

How do you simplify the expression 5(p - 6) using the Distributive Property?

Back

Distributing gives: 5 * p - 5 * 6 = 5p - 30.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the factor outside the parentheses and the terms inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

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

Front

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

Back

An example is 2(x + 3) = 2x + 6.

Front

What happens if you forget to distribute correctly?

Back

If you forget to distribute correctly, you may arrive at an incorrect answer, leading to misunderstandings in solving equations.