Combining Like Terms

Front

What does it mean to combine like terms in an expression?

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: 8x² + 5x + 2y + x

Back

8x² + 6x + 2y

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms.

Front

Simplify: 3x² - x + 2 - 5x² + 8x - 5

Back

-2x² + 7x - 3

Front

What is the first step in combining like terms?

Back

Identify and group the like terms in the expression.

Front

Simplify: x + 3x + 6x + x

Back

11x

Front

What is the result of combining 4x and 3x?

Back

7x

Front

What happens when you combine terms with different variables?

Back

You cannot combine them; they remain separate terms.

Front

Simplify: 2a + 3b - 4a + 5b

Back

-2a + 8b

Front

What is the coefficient in the term 7x²?

Back

The coefficient is 7.