Adding and Subtracting Monomials

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 raised to the same power. Only the coefficients of like terms can be added or subtracted.

Front

What is the process for subtracting monomials?

Back

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

Front

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

Back

The result is 5x, as you combine the coefficients 2 and 3.

Front

How do you simplify the expression 4x + 2 - 3x + 5?

Back

Combine like terms: (4x - 3x) + (2 + 5) = 1x + 7 = x + 7.

Front

What is the sum of 5y^2 and 3y^2?

Back

The sum is 8y^2, as you add the coefficients 5 and 3.

Front

How do you simplify the expression 2x^2 + 3x - x^2 + 4x?

Back

Combine like terms: (2x^2 - x^2) + (3x + 4x) = 1x^2 + 7x = x^2 + 7x.

Front

What is the difference when subtracting -2x from -8x?

Back

The difference is -6x, as you calculate -8x - (-2x) = -8x + 2x = -6x.

Front

What is the result of adding 7a^2 and -3a^2?

Back

The result is 4a^2, as you combine the coefficients 7 and -3.