Review Adding and Subtracting Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression: 6x + 3 - 2x + 5

Back

4x + 8

Front

What is the result of subtracting two algebraic expressions?

Back

When subtracting two algebraic expressions, you distribute the negative sign and then combine like terms.

Front

Simplify the expression: (2x + 5y) - (3x - 2y)

Back

-x + 7y

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: (-3p^2 - 8p^4) - (-3p^2 - 6p^4)

Back

-2p^4

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and group like terms together.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing any necessary operations.

Front

Simplify the expression: (x^3 - x^2 + 4) - (3x^3 - 2x^2 + 3)

Back

-2x^3 + x^2 + 1