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(s) raised to the same power(s). Only the coefficients can be different.

Front

What is the result of adding 16y^2 and -5y^2?

Back

11y^2.

Front

How do you subtract monomials?

Back

To subtract monomials, subtract the coefficients of like terms while keeping the variable part the same.

Front

What is the result of simplifying 11c^2d^2 - 20c^2d^2?

Back

-9c^2d^2.

Front

What is the sum of 2ab and 9ac?

Back

2ab + 9ac (they are not like terms).

Front

What is the result of simplifying -5a^2b^2 - a^2b^2?

Back

-6a^2b^2.

Front

What is the result of 7x - 5x?

Back

2x.

Front

What is the coefficient in the monomial 4x^3?

Back

The coefficient is 4.