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

By applying the Distributive Property, you multiply 5 by both a and 6, resulting in 5a + 30.

Front

Simplify the expression using the Distributive Property: 2(3v - 8).

Back

The simplified expression is 6v - 16.

Front

What is the result of applying the Distributive Property to 2(4 + 9w)?

Back

The result is 8 + 18w.

Front

How do you simplify 3(3x + 1) using the Distributive Property?

Back

The simplified expression is 9x + 3.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the term outside the parentheses that will be distributed.

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

Provide an example of the Distributive Property with negative numbers: -2(3 - 5).

Back

The result is -2*3 + -2*(-5) = -6 + 10 = 4.

Front

What is the importance of the Distributive Property in algebra?

Back

The Distributive Property is important because it allows for the simplification of expressions and solving equations.

Front

How can the Distributive Property help in factoring expressions?

Back

The Distributive Property can help in factoring by reversing the process, such as recognizing that ab + ac = a(b + c).