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 constant, a variable, or a product of constants 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. For example, 3x and 5x are like terms.

Front

What is the result of adding 10m^2n and -m^2n?

Back

The result is 9m^2n.

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 subtracting -2x from -8x?

Back

The result is -6x.

Front

What is the simplified form of 2c^3 + 8c^3?

Back

The simplified form is 10c^3.

Front

What is the first step in simplifying the expression 2x^2 + 3y - 2x + 5y + 2x?

Back

The first step is to combine like terms: 2x^2, -2x, and 3y + 5y.

Front

What is the final simplified expression for 2x^2 + 3y - 2x + 5y + 2x?

Back

The final simplified expression is 2x^2 + 8y.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.