Ch 41: TACHS: Simplifying & Solving Rational Expressions

About This Chapter

The TACHS examination evaluates your student's ability to solve and simplify rational expressions. He or she could study the video lessons in this chapter in order to prepare for this Catholics high school admissions test. Brief quizzes are included in the chapter.

TACHS: Simplifying and Solving Rational Expressions - Chapter Summary

With the help of these tutorial video lessons, your eight grader can go over and conquer the rules for simplifying and solving rational expressions. Step-by-step techniques and practice problems are included with each lesson. With engaging graphics and animation, the lessons aim to show your student how to release denominators, find common denominators, rewrite fractions and simplify numerators. After studying the videos, your child could understand how to:

  • Calculate the answers to a rational equation
  • Remember the steps for multiplying, dividing, subtracting and adding rational expressions
  • Complete examples involving rational equations

Your student can request assistance with any of the above concepts by utilizing the ask-an-expert function on the Dashboard. The video lessons are short, entertaining and self-paced. They can be watched, paused or stopped online at anytime with the help of a mobile device. Found under the timeline link, video tags highlight the lessons' main points. The written transcripts contain important terms that can be looked up for further clarification. Multiple-choice quizzes are available to gauge your student's understanding of the material.

TACHS: Simplifying and Solving Rational Expressions Chapter Objectives

Problems related to the solving and simplifying of rational expressions may be included in the Mathematics section of the TACHS examination. The three other exam sections are Ability, Language and Reading. Register your child via the Internet and use a credit card to pay the registration fee, which is not refundable. If this isn't convenient, you can also complete a phone or paper registration. You'll receive an Admit Card on which you should print no more than three of your child's Catholic high school choices.

6 Lessons in Chapter 41: TACHS: Simplifying & Solving Rational Expressions
Test your knowledge with a 30-question chapter practice test
How to Solve a Rational Equation

1. 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!

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.

Practice Adding and Subtracting Rational Expressions

3. 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 Multiply and Divide Rational Expressions

4. 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

5. 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.

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.

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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