Distributive Property with Variables

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 multiply 3 by each term inside the parentheses: 3 * 2c = 6c and 3 * -5 = -15, resulting in 6c - 15.

Front

Simplify the expression 3(4 + 7y) using the Distributive Property.

Back

Distributing gives 3 * 4 = 12 and 3 * 7y = 21y, so the simplified expression is 12 + 21y.

Front

What is the result of applying the Distributive Property to 5(2x + 6)?

Back

Distributing gives 5 * 2x = 10x and 5 * 6 = 30, resulting in 10x + 30.

Front

How do you simplify the expression 3(2h + 3c + 2)?

Back

Distributing gives 3 * 2h = 6h, 3 * 3c = 9c, and 3 * 2 = 6, resulting in 6h + 9c + 6.

Front

What is the simplified form of 5(p - 6) using the Distributive Property?

Back

Distributing gives 5 * p = 5p and 5 * -6 = -30, resulting in 5p - 30.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the term 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 both addition and subtraction.

Front

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

Back

Calculating total costs when buying multiple items, where the cost of each item can be expressed as a sum.

Front

How does the Distributive Property help in simplifying expressions?

Back

It allows you to break down complex expressions into simpler parts, making calculations easier.