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 4(3x + 2)?

Back

You multiply 4 by both terms inside the parentheses: 4 * 3x + 4 * 2 = 12x + 8.

Front

Simplify the expression 5(4x - 7) using the Distributive Property.

Back

20x - 35.

Front

What is the result of applying the Distributive Property to 2(4 + 9w)?

Back

8 + 18w.

Front

Fill in the blank: 4(3x + __) = 12x + 16. What is the missing number?

Back

4.

Front

If you have the expression 20y - 10y - 5y, how can you simplify it using the Distributive Property?

Back

You can factor out 5y: 5y(4 - 2 - 1).

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

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

How can the Distributive Property help in solving equations?

Back

It allows you to simplify expressions, making it easier to isolate variables and solve for them.

Front

What is an equivalent expression to 3(3x + 1)?

Back

9x + 3.