Advanced Distributive Properties

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 4(2x + 3) - 2(3x - 1).

Back

8x + 12 - 6x + 2.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which are numbers or expressions that can be multiplied together to get the original expression.

Front

Factor out the common term from the expression: 6x + 9.

Back

3(2x + 3).

Front

Factor out the common term from the expression: 5x + 10.

Back

5(x + 2).

Front

Simplify the expression: 2(4x + 3) - 5(2x - 1).

Back

-2x + 11.

Front

Expand and simplify the expression: 4(3x - 2).

Back

12x - 8.

Front

What is the first step in applying the Distributive Property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.

Front

How do you check your work after simplifying an expression?

Back

You can substitute values for the variables in the original and simplified expressions to see if they yield the same result.