Distributive Property and Simplifying Algebraic Expressions

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: 3(2c - 5)

Back

6c - 15

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and eliminate parentheses to make the expression easier to work with.

Front

Simplify the expression: 6 - 2(7x - 3)

Back

-14x + 12

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify the expression: 10x - 3(2x + 8)

Back

4x - 24

Front

What is the first step in applying the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify the expression: -4(k - 7)

Back

-4k + 28

Front

What is the result of multiplying a negative number by a positive number?

Back

The result is a negative number.

Front

Simplify the expression: -9(2g - 3)

Back

-18g + 27