Simplifying Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols (like +, -, *, /).

Front

What does it mean to simplify an algebraic expression?

Back

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

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

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 each term inside a parentheses.

Front

Simplify: 2(7x - 3) - 3x

Back

11x - 6

Front

Simplify: 2(3x + 5) + x

Back

7x + 10

Front

Simplify: 2(5x - 4) + 2x

Back

12x - 8

Front

Simplify: 6(2x - 1) + 3x

Back

12x - 6 + 3x

Front

Simplify: 7(2x - 3)

Back

14x - 21

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.