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.

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.

Front

What is the result of adding 2ab and 9ac?

Back

The result is 2ab + 9ac, as they are not like terms and cannot be combined.

Front

How do you simplify the expression 3x + 2y + 5 - 2x + 3y?

Back

Combine like terms: (3x - 2x) + (2y + 3y) + 5 = x + 5y + 5.

Front

What is the sum of 16y² and -5y²?

Back

The sum is 11y², as you combine the coefficients: 16 - 5 = 11.

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 -8mn + 9mn?

Back

The result is mn, as you combine the coefficients: -8 + 9 = 1.

Front

What does it mean to subtract 9a from -15a?

Back

It means to calculate -15a - 9a, which results in -24a.

Front

What is the coefficient in the term 5xy?

Back

The coefficient is 5, which is the number multiplying the variable part xy.