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 distributing 2 in the expression 2(c - 8)?

Back

The result is 2c - 16.

Front

If you have the expression 2(4 + 9w), how do you simplify it using the Distributive Property?

Back

You distribute 2 to both 4 and 9w, resulting in 8 + 18w.

Front

What is the equivalent expression for 4(x - 6) when using the Distributive Property?

Back

The equivalent expression is 4x - 24.

Front

When distributing a negative number, what should you remember?

Back

When distributing a negative number, you must change the signs of the terms inside the parentheses.

Front

What is the result of distributing 9 in the expression 9(x - 5)?

Back

The result is 9x - 45.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction, treating it as addition of a negative.

Front

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

Back

For example, -3(2 - x) = -3*2 + 3*x = -6 + 3x.

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.