Monomials: Adding, Subtracting, Multiplying, Powers

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

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 product of (-4x) and (2y)?

Back

-8xy

Front

What is the volume of a cube with side length (-2c^3)?

Back

-8c^9

Front

What happens when you multiply two monomials?

Back

When multiplying two monomials, multiply their coefficients and add their exponents for like variables.

Front

What is the result of (5a^2b)(2ab^3)?

Back

10a^3b^4

Front

What do you do when raising a power to a power?

Back

When raising a power to a power, multiply the exponents.

Front

What is a like term?

Back

Like terms are terms that have the same variable part raised to the same power.

Front

What is the sum of 10m^2n and 7mn^2?

Back

9m^2n + 7mn^2