Adding and Subtracting Monomials Flashcard #1

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

Front

How do you add monomials?

Back

To add monomials, combine like terms by adding their coefficients while keeping the variable part the same.

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: 2x^2 + 3y - 2x + 5y + 2x

Back

2x^2 + 8y

Front

Simplify: -8mn + 9mn

Back

mn

Front

Simplify: -3y^2 + 6y^2

Back

3y^2

Front

Simplify: 2c^3 + 8c^3

Back

10c^3

Front

What is the coefficient in the term 4x^2?

Back

The coefficient is 4.

Front

What is the degree of the monomial 7x^3y^2?

Back

The degree is 5 (3 from x^3 and 2 from y^2).

Front

What happens when you add a monomial and a non-like term?

Back

You cannot combine them; the expression remains as is.