Ch 43: TACHS: Systems of Linear Equations

About This Chapter

Brush up on your strengths and build up your weaknesses in algebra using the lessons in our Systems of Linear Equations chapter. Let us make the process of reviewing for the TACHS exam interesting and fun with these short, informative video lessons.

TACHS: Systems of Linear Equations - Chapter Summary

Prepare yourself for TACHS exam questions involving systems of linear equations by working through these lessons. The information contained in the videos is given below:

  • Definition and explanation of systems of equations
  • How to use systems of linear equations
  • Solving systems of linear equations with two variables
  • Solving three-variable linear systems with and without a solution

Reviewing, whether for your own personal satisfaction or for a major exam, is never a chore with our program. We provide you with all of the help you need through easy access to our highly qualified lesson instructors and subject-matter experts. You can always get answers to your questions and explanations of anything in the lessons that you want to reinforce.

TACHS: Systems of Linear Equations Chapter Objectives

The TACHS exam is an admissions requirement for many Catholic high schools. It assists schools in the placement of students into ninth-grade classes. Four subject areas are covered in the TACHS. These are writing, reading, mathematics and general reasoning skills. In this chapter, we address part of the mathematics subtest.

The TACHS is a paper-and-pencil test. The questions are in multiple-choice form, so you should be prepared to read each question thoroughly and select the correct answer from the choices provided.

5 Lessons in Chapter 43: TACHS: Systems of Linear Equations
Test your knowledge with a 30-question chapter practice test
What is a System of Equations?

1. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

How Do I Use a System of Equations?

2. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

How to Solve a System of Linear Equations in Two Variables

3. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

How to Solve a Linear System in Three Variables With a Solution

4. How to Solve a Linear System in Three Variables With a Solution

After watching this video lesson, you will be able to solve a linear system in three variables using the elimination method. Learn the simple operations that are needed to solve your system.

How to Solve a Linear System in Three Variables With No or Infinite Solutions

5. How to Solve a Linear System in Three Variables With No or Infinite Solutions

In this video lesson, you will learn to recognize when a linear system has no solution or an infinite number of solutions. You will also learn how to go about solving each of these types of systems.

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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