Ch 25: AEPA Middle Grades Math: Monomials & Polynomials

About This Chapter

This chapter's video lessons can aid your review of monomials and polynomials in preparation for the AEPA Middle Grades Math exam. Our multiple-choice quizzes that accompany each lesson can help you assess your readiness to sit for the test.

AEPA Middle Grades Math: Monomials & Polynomials - Chapter Summary

For this middle grades math proficiency exam, you'll need to exhibit a thorough knowledge of monomials and polynomials. Through this collection of lessons, you have the opportunity to review strategies for performing operations with polynomials and evaluating them in function notation. Lessons also emphasize polynomial graphs and polynomials in several variables. As you wrap up this chapter, you should feel confident answering questions about the following:

  • The degree of a polynomial
  • Adding, subtracting and multiplying polynomials
  • Long and synthetic division of polynomials
  • Transformations of polynomial graphs
  • Binomial theorem
  • Pascal's triangle
  • Polynomial operations involving several variables

These engaging video lessons also offer print transcripts for those who'd rather read their lessons, or they can be used for a second look. Quick quizzes can tell you whether more review is required, and the videos have handy tags so you can find select sections with ease.

AEPA Middle Grades Math: Monomials & Polynomials Chapter Objectives

Algebra and functions is one of four domain areas on this test and is where you can find questions related to the topics in this chapter. This domain makes up approximately 33% of the exam and is where you could encounter questions involving algebraic equations, solutions for linear equations, the connection of algebraic notation to sentences, and the impact of transformations on graphs of functions. You'll be given four hours and 15 minutes to complete the entire 150 multiple-choice questions. The multiple-choice format in our practice quizzes offers excellent test-taking practice.

11 Lessons in Chapter 25: AEPA Middle Grades Math: Monomials & Polynomials
Test your knowledge with a 30-question chapter practice test
What Are Monomials & Polynomials?

1. What Are Monomials & Polynomials?

Watch this video lesson to learn how coefficients and variables combine to form monomials and polynomials. You'll also find out how the exponent determines the degree of polynomials.

How to Add, Subtract and Multiply Polynomials

2. How to Add, Subtract and Multiply Polynomials

Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!

How to Evaluate a Polynomial in Function Notation

3. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

Understanding Basic Polynomial Graphs

4. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

Basic Transformations of Polynomial Graphs

5. Basic Transformations of Polynomial Graphs

The basic transformations for a graph are movement up and down, left and right, pinched or stretched graphs, and flipped graphs. This lesson will review how to accomplish each of these transformations.

Pascal's Triangle: Definition and Use with Polynomials

6. Pascal's Triangle: Definition and Use with Polynomials

Pascal's Triangle is defined and discussed briefly. Following the introduction to the triangle, its use in expanding polynomial powers is elaborated with examples.

The Binomial Theorem: Defining Expressions

7. The Binomial Theorem: Defining Expressions

In this lesson, students will learn the binomial theorem and get practice using the theorem to expand binomial expressions. The theorem is broken down into its parts and then reconstructed.

How to Divide Polynomials with Long Division

8. How to Divide Polynomials with Long Division

Arithmetic long division and polynomial long division are very similar. Yes, it's a long process, but once you have the rhythm you will get every problem correct!

How to Use Synthetic Division to Divide Polynomials

9. How to Use Synthetic Division to Divide Polynomials

Synthetic division is a 'short-cut' way of dividing a polynomial by a monomial. You still need to know long division, sorry, but this method is way fun when you're dividing by a monomial!

Dividing Polynomials with Long and Synthetic Division: Practice Problems

10. Dividing Polynomials with Long and Synthetic Division: Practice Problems

Let's look at some more polynomial division problems. We will use long division and synthetic division, but this time we will have a couple of more involved problems. So, get out some paper and a pencil and let's begin!

Operations with Polynomials in Several Variables

11. Operations with Polynomials in Several Variables

In this video lesson, you will learn how to handle and work with polynomials that have more than one variable. This is important because in math you sometimes have to work with several variables at the same time.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

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