**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.

**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 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.

**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.

**Simplify Expressions Using the Quotient Property for Exponents**

In the following exercises, simplify.

**Simplify Expressions with Zero Exponents**

In the following exercises, simplify.

**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.

**Use the Definition of a Negative Exponent**

In the following exercises, simplify.

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