adding and 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 raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify: -10y² + 5y

Back

-10y² + 5y (This expression is already simplified as it contains unlike terms).

Front

Simplify: -20x⁶ + (-10x⁶)

Back

-30x⁶.

Front

Simplify: 3x + 2y - 2x + 3y

Back

x + 5y.

Front

Simplify: 2c³ + 8c³

Back

10c³.

Front

Simplify: 3x - 5x

Back

-2x.

Front

What is the coefficient in a monomial?

Back

The coefficient is the numerical factor in a monomial. For example, in 4x², 4 is the coefficient.

Front

What happens when you add a monomial to zero?

Back

Adding a monomial to zero leaves the monomial unchanged. For example, 5x + 0 = 5x.