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

What is the result of adding 3x and 5x?

Back

The result is 8x.

Front

How do you subtract monomials?

Back

To subtract monomials, combine like terms by subtracting their coefficients 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 sum of 3 and -12 on a number line?

Back

The sum is -9.

Front

What is the simplified form of 2x^2 + 3y - 2x + 5y + 2x?

Back

The simplified form is 2x^2 + 8y.

Front

What is the product of (2y^2)(4xy^3)?

Back

The product is 8x y^5.

Front

What is the result of (2y^2)(4xy^3) + (3xy^4)(5y)?

Back

The result is 23xy^5.