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: 3x - 5x

Back

-2x

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Simplify: 4/9 + (-2/3)

Back

-2/9

Front

Use the Distributive Property to simplify: 6(5x + 7)

Back

30x + 42

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: (x - 6)4

Back

4x - 24

Front

What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents one or more numbers. For example, in the expression 2x, 'x' is the variable.

Front

Simplify: 12/16

Back

3/4

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3.