Multiply and Divide 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 multiply two monomials?

Back

To multiply two monomials, multiply their coefficients and add the exponents of like bases.

Front

What is the product of 10xy^3 and 8x^5y^3?

Back

The product is 80x^6y^6.

Front

What does it mean to simplify an expression?

Back

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

Front

How do you combine like terms?

Back

Like terms are terms that have the same variable raised to the same power. To combine them, add or subtract their coefficients.

Front

What is the result of -2y + 8 + 7y + 5?

Back

The result is 5y + 13.

Front

What is the simplified form of 5a + 2b - 3a + 4?

Back

The simplified form is 2a + 2b + 4.

Front

What is the quotient of b^6 and 2a^2?

Back

The quotient is b^6 / 2a^2.

Front

How do you divide monomials?

Back

To divide monomials, divide their coefficients and subtract the exponents of like bases.

Front

What is the product of 6x and 2x^2?

Back

The product is 12x^3.