Simplifying Expressions and Distributive Property

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: 9(2x + 2y)

Back

18x + 18y

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 the expression: -3a – 5a + 4

Back

-8a + 4

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: 2(3x - 1) + 10

Back

6x + 8

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

Simplify the expression: 3 - 2a + 3a + 5a

Back

6a + 3

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

Front

Simplify the expression: 4x – 3 – 5x - 9

Back

-x - 12