Distributive Property & Combine Like Terms

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: -3(2c - 5)

Back

-6c + 15

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 3y, 3 is the coefficient.

Front

Simplify: -6x + 4(-x - 3)

Back

-10x - 12

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

Simplify: -8(6x + 3)

Back

-48x - 24

Front

What is a variable in an expression?

Back

A variable is a symbol used to represent a number that is not yet known. For example, in the expression 5x, x is the variable.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, 5 is the constant.

Front

Combine like terms: 2x + 3x - 5

Back

5x - 5

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as concise as possible.