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 3(2c - 5)?

Back

You apply the Distributive Property by multiplying 3 with each term inside the parentheses: 3 * 2c - 3 * 5 = 6c - 15.

Front

Simplify the expression 8(5 + w) using the Distributive Property.

Back

Using the Distributive Property, 8(5 + w) simplifies to 8 * 5 + 8 * w = 40 + 8w.

Front

What is the result of applying the Distributive Property to 5(a + 6)?

Back

The result is 5a + 30, as you multiply 5 with both a and 6.

Front

If you have the expression 11(9 + d), what is the simplified form?

Back

The simplified form is 99 + 11d, obtained by distributing 11 to both 9 and d.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating 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 negative numbers?

Back

An example is -2(3 - x), which simplifies to -2 * 3 + 2 * x = -6 + 2x.

Front

How does the Distributive Property help in solving equations?

Back

The Distributive Property helps in solving equations by allowing you to eliminate parentheses, making it easier to combine like terms and isolate variables.

Front

What is the first step in applying the Distributive Property?

Back

The first step is to identify the term outside the parentheses and the terms inside the parentheses that need to be multiplied.