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Ch 15: Algebra II - Rational Expressions: Tutoring Solution

About This Chapter

The Rational Expressions chapter of this High School Algebra II Tutoring Solution is a flexible and affordable path to learning about rational expressions. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving rational expressions required in a typical high school algebra II course.

How it works:

  • Begin your assignment or other high school algebra II work.
  • Identify the rational expressions concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school algebra II tutoring solution will benefit any student who is trying to learn rational expressions and earn better grades. This resource can help students including those who:

  • Struggle with multiplying and dividing, adding and subtracting rational expressions, solving rational equations, graphing reflections across axes or any other rational expressions topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their rational expressions unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school algebra II
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about rational expressions simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live algebra II tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about rational expressions on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Add, subtract, multiply and divide rational expressions.
  • Solve rational equations.
  • Find the reciprocal of a rational expression.
  • Simplify complex rational expressions.
  • Solve equations of direct variation.
  • Graph reflections about the x-axis, y-axis, origin and line y=x.
  • Determine the least common denominator of a rational expression.

11 Lessons in Chapter 15: Algebra II - Rational Expressions: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
How to Multiply and Divide Rational Expressions

1. How to Multiply and Divide Rational Expressions

Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.

Multiplying and Dividing Rational Expressions: Practice Problems

2. Multiplying and Dividing Rational Expressions: Practice Problems

Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.

How to Add and Subtract Rational Expressions

3. How to Add and Subtract Rational Expressions

Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.

Practice Adding and Subtracting Rational Expressions

4. Practice Adding and Subtracting Rational Expressions

Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!

How to Solve a Rational Equation

5. How to Solve a Rational Equation

A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!

Rational Equations: Practice Problems

6. Rational Equations: Practice Problems

Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.

Division and Reciprocals of Radical Expressions

7. Division and Reciprocals of Radical Expressions

Watch this video lesson to learn what you need to do when dividing radical expressions. Learn what you need to look out for before you divide and why you can't leave your radical in your denominator.

Simplifying Complex Rational Expressions

8. Simplifying Complex Rational Expressions

When it comes to fractions, things may seem to get really complicated and scary when you have a fraction on top of a fraction. But never fear, after watching this video lesson, you will be able to simplify these expressions like a pro.

Solving Equations of Direct Variation

9. Solving Equations of Direct Variation

In the real world, we come across a lot of problems that vary directly with each other. You will learn how to solve these types of direct variation problems in this video lesson.

How to Graph Reflections Across Axes, the Origin, and Line y=x

10. How to Graph Reflections Across Axes, the Origin, and Line y=x

A graph can be reflected in three ways - across the axes, the origin and the line y = x. There are specific rules to perform each reflection. This lesson will describe those rules and show you how to perform these reflections.

Solving Rational Equations and Finding the Least Common Denominator

11. Solving Rational Equations and Finding the Least Common Denominator

When solving rational equations, just like with any other fractions, you must first find the least common denominator. This lesson will show you how to find the least common denominator and also solve the rational equations.

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 High School Algebra II: Tutoring Solution course

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