Adding & Subtracting Monomials

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: 2c^3 + 8c^3

Back

10c^3

Front

Simplify: -20x^6 + (-10x^6)

Back

-30x^6

Front

Simplify: -8mn + 9mn

Back

mn

Front

Find the sum of 16y^2 and -5y^2.

Back

11y^2

Front

What is the coefficient in the monomial 19a^5b^2?

Back

The coefficient is 19.

Front

What happens when you add a positive and a negative monomial?

Back

You combine their coefficients, which may result in a positive, negative, or zero value depending on their magnitudes.

Front

What is the result of adding 5x^2 and 3x^2?

Back

8x^2