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.

Front

How do you apply the Distributive Property to the expression 3(2h + 3c + 2)?

Back

You multiply each term inside the parentheses by 3: 3 * 2h + 3 * 3c + 3 * 2 = 6h + 9c + 6.

Front

Simplify the expression 2(c - 8) using the Distributive Property.

Back

2(c - 8) = 2c - 16.

Front

What is the result of applying the Distributive Property to 3(2c - 5)?

Back

3(2c - 5) = 6c - 15.

Front

How do you simplify the expression 11(9 + d)?

Back

11(9 + d) = 11 * 9 + 11 * d = 99 + 11d.

Front

What is the simplified form of 8(5 + w) using the Distributive Property?

Back

8(5 + w) = 8 * 5 + 8 * w = 40 + 8w.

Front

What is the first step in using the Distributive Property?

Back

Identify the factor 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 expressions with subtraction, such as a(b - c) = ab - ac.

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 with different prices.

Front

How does the Distributive Property help in simplifying algebraic expressions?

Back

It allows you to eliminate parentheses and combine like terms, making expressions easier to work with.