Practice Test

Add and Subtract Polynomials

Identify Polynomials, Monomials, Binomials and Trinomials

In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.

Determine the Degree of Polynomials

In the following exercises, determine the degree of each polynomial.

Add and Subtract Monomials

In the following exercises, add or subtract the monomials.

Add and Subtract Polynomials

In the following exercises, add or subtract the polynomials.

Evaluate a Polynomial for a Given Value of the Variable

In the following exercises, evaluate each polynomial for the given value.

Use Multiplication Properties of Exponents

Simplify Expressions with Exponents

In the following exercises, simplify.

Simplify Expressions Using the Product Property for Exponents

In the following exercises, simplify each expression.

Simplify Expressions Using the Power Property for Exponents

In the following exercises, simplify each expression.

Simplify Expressions Using the Product to a Power Property

In the following exercises, simplify each expression.

Simplify Expressions by Applying Several Properties

In the following exercises, simplify each expression.

Multiply Monomials

In the following exercises 8, multiply the monomials.

Multiply Polynomials

Multiply a Polynomial by a Monomial

In the following exercises, multiply.

Multiply a Binomial by a Binomial

In the following exercises, multiply the binomials using: ⓐ the Distributive Property, ⓑ the FOIL method, ⓒ the Vertical Method.

Multiply a Trinomial by a Binomial

In the following exercises, multiply using ⓐ the Distributive Property, ⓑ the Vertical Method.

Special Products

Square a Binomial Using the Binomial Squares Pattern

In the following exercises, square each binomial using the Binomial Squares Pattern.

Multiply Conjugates Using the Product of Conjugates Pattern

In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern.

Recognize and Use the Appropriate Special Product Pattern

In the following exercises, find each product.

Divide Monomials

Simplify Expressions Using the Quotient Property for Exponents

In the following exercises, simplify.

Simplify Expressions with Zero Exponents

In the following exercises, simplify.

Divide Polynomials

Divide a Polynomial by a Monomial

In the following exercises, divide each polynomial by the monomial.

Divide a Polynomial by a Binomial

In the following exercises, divide each polynomial by the binomial.

Integer Exponents and Scientific Notation

Use the Definition of a Negative Exponent

In the following exercises, simplify.