Combining Like Terms and Simplifying Expressions Flashcard

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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 2x = 5x.

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and group the like terms in the expression.

Front

Simplify the expression: 3x + 4y - 2x + 5y.

Back

x + 9y

Front

Simplify the expression: 4x + 2y - 3x + 5y.

Back

x + 7y

Front

What is the result of combining the like terms in the expression 4y - 2y + 7y?

Back

9y

Front

Simplify the expression: 5x - 3y + 2x - 4y.

Back

7x - 7y

Front

Simplify the expression: 5p + 2q - 4p + 6q.

Back

p + 8q

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

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 4x, 4 is the coefficient.