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 5(a + 6)?

Back

You multiply 5 by both a and 6, resulting in 5a + 30.

Front

What is the result of applying the Distributive Property to 8(x + 5)?

Back

The result is 8x + 40.

Front

What does the expression 3(2c - 5) simplify to using the Distributive Property?

Back

It simplifies to 6c - 15.

Front

How do you simplify 2(c - 8) using the Distributive Property?

Back

You distribute 2 to both c and -8, resulting in 2c - 16.

Front

What is the first step in using the Distributive Property?

Back

Identify the term 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 applied to both addition and subtraction.

Front

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

Back

For example, -3(x - 4) simplifies to -3x + 12.

Front

How does the Distributive Property help in solving equations?

Back

It allows you to simplify expressions, making it easier to isolate variables.

Front

What is the result of 4(2 + 3x)?

Back

The result is 8 + 12x.