Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

How do you apply the Distributive Property to the expression 2(c - 8)?

Back

You multiply 2 by both c and -8, resulting in 2c - 16.

Front

Simplify the expression 5(a + 6) using the Distributive Property.

Back

5(a + 6) simplifies to 5a + 30.

Front

What is the result of simplifying 8(5 + w) using the Distributive Property?

Back

8(5 + w) simplifies to 40 + 8w.

Front

How do you simplify the expression 3(2c - 5)?

Back

3(2c - 5) simplifies to 6c - 15.

Front

What is the simplified form of 11(9 + d) using the Distributive Property?

Back

11(9 + d) simplifies to 99 + 11d.

Front

What is an example of a real-world application of the Distributive Property?

Back

Calculating total costs, such as finding the total price of multiple items where each item has a base price and additional costs.

Front

Can the Distributive Property be used with subtraction?

Back

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

Front

What is the first step in applying the Distributive Property?

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.

Front

How does the Distributive Property help in simplifying algebraic expressions?

Back

It allows for the expansion of expressions, making it easier to combine like terms and simplify.