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Ch 10: HiSET Mathematics: Rational Expressions

About This Chapter

Let us help you prepare for the High School Equivalency Test (HiSET) by reviewing rational expressions. The chapter's video lessons and quizzes give you a fast and easy way to master this topic.

HiSET Mathematics: Rational Expressions - Chapter Summary

Our professional teachers design each video lesson to help you get a better understanding of the math terms and processes associated with rational expressions that you'll have to know to pass the HiSET. The videos are each about five minutes long and detail concepts that include:

  • Multiplying and dividing rational expressions
  • Adding and subtracting rational expressions
  • Solving rational expressions
  • Reciprocals of rational expressions
  • Simplifying complex rational expressions
  • Analyzing asymptotes, domain and range on the graph of a rational function

Answer the self-assessment quizzes at the end of the lessons to check your comprehension and see what areas you may need to review again.

Objectives of the HiSET Mathematics: Rational Expressions Chapter

Concepts in this Rational Expressions chapter are part of the Numbers and Operations on Numbers portion of the exam, which makes up 19% of the entire math test. All of the questions are multiple-choice, and they test your aptitude for performing key operations with rational expressions.

6 Lessons in Chapter 10: HiSET Mathematics: Rational Expressions
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.

How to Add and Subtract Rational Expressions

2. 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.

How to Solve a Rational Equation

3. 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!

Division and Reciprocals of Rational Expressions

4. Division and Reciprocals of Rational Expressions

In this video lesson, you will learn how to divide and take the reciprocal of any rational expression. Learn the one easy step you take to be able to find your answer quickly and easily.

Simplifying Complex Rational Expressions

5. 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.

Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

6. Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

A rational function arises from the ratio of two polynomial expressions. The graphs of rational functions often have distinct characteristics. In this lesson, we look at how to analyze some of those characteristics.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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