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

You multiply 5 by both a and 6, resulting in 5a + 30.

Front

What is the result of applying the Distributive Property to 2(c - 8)?

Back

The result is 2c - 16.

Front

What does the expression 3(2c - 5) simplify to using the Distributive Property?

Back

It simplifies to 6c - 15.

Front

How do you simplify the expression 8(x + 5) using the Distributive Property?

Back

You distribute 8 to both x and 5, resulting in 8x + 40.

Front

What is the first step in using the Distributive Property?

Back

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 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 the total cost of multiple items, where each item has a different price.

Front

How does the Distributive Property help in simplifying algebraic expressions?

Back

It allows you to combine like terms and simplify expressions more easily.

Front

What is the result of applying the Distributive Property to the expression 4(3x + 2)?

Back

The result is 12x + 8.