Adding, Subtracting, & Multiplying Monomials

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer exponents.

Front

What happens when you multiply monomials with the same base?

Back

When multiplying monomials with the same base, you add the exponents.

Front

What is the result of (d^4)(d^5)?

Back

d^9

Front

What is the result of -5a^2b^2 - a^2b^2?

Back

-6a^2b^2

Front

What is the coefficient in the monomial 2x^3?

Back

The coefficient is 2.

Front

What is the exponent in the monomial 3y^4?

Back

The exponent is 4.

Front

What is the result of (3c^2)(10c^7)?

Back

30c^9

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of one or more monomials combined using addition or subtraction.

Front

What is the degree of the monomial 5x^3y^2?

Back

The degree is 5, which is the sum of the exponents (3 + 2).

Front

What is the result of (x^2)(x^3)?

Back

x^5