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Ch 3: Holt McDougal Algebra 2 Chapter 3: Linear Systems

About This Chapter

The Linear Systems chapter of this Holt McDougal Algebra 2 Textbook Companion Course helps students learn essential algebra lessons on linear systems. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Linear Systems textbook chapter.

How it works:

  • Identify the lessons in the Holt McDougal Algebra 2 Linear Systems chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the linear systems topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Use of graphs and tables to solve linear systems
  • Use of algebraic methods to solve linear systems
  • Application of systems of linear equations to breakeven point
  • Linear programming
  • Linear equations in three dimensions
  • Solutions for linear systems in three variables

Holt McDougal is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

13 Lessons in Chapter 3: Holt McDougal Algebra 2 Chapter 3: Linear Systems
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.

Classifying Linear Systems in Math

2. Classifying Linear Systems in Math

After watching this video lesson, you'll understand how to classify linear systems and the reasons why a linear system's classification is dependent on the number of solutions it has.

How Do I Use a System of Equations?

3. 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.

Applying Systems of Linear Equations to Breakeven Point: Steps & Example

4. Applying Systems of Linear Equations to Breakeven Point: Steps & Example

Businesses use breakeven points to determine price and sell products. Learn how to use systems of linear equations with revenue and cost functions to find the breakeven point.

Set Notation, Compound Inequalities, and Systems of Inequalities

5. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

Graphing the Feasible Region of a System of Inequalities

6. Graphing the Feasible Region of a System of Inequalities

The feasible region of a system of inequalities is the area of the graph containing the points that satisfy all the inequalities at once. Watch this lesson to learn how to graph one.

Objective Function: Definition, Principle & Example

7. Objective Function: Definition, Principle & Example

This lesson will define the objective function, the principle behind its use, and how it is used in business. We will provide examples of how to use the objective function.

Graphing Points & Lines in Three Dimensions

8. Graphing Points & Lines in Three Dimensions

After watching this video lesson, you will know how read the three coordinates given to you and graph any given point in the three-dimensional coordinate space. Then test your knowledge with a quiz.

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

9. 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.

Parametrics: Definition & Equations

10. Parametrics: Definition & Equations

Parametrics are a special type of mathematical expression that build on traditional rectangular equations. Learn how parametric equations can be used to simplify problems, create graphs, and enhance our understanding of the behavior of those graphs.

Graphs of Parametric Equations

11. Graphs of Parametric Equations

Watch this video lesson to learn how you can go about graphing parametric equations. Learn the simplest way to graph parametric equations by eliminating the parameter.

Parametric Equations in Applied Contexts

12. Parametric Equations in Applied Contexts

Watch this video lesson to learn how you can use parametric equations to help you solve real world problems such as the path of a moving object. Learn how to form parametric equations to model the real world.

Evaluating Parametric Equations: Process & Examples

13. Evaluating Parametric Equations: Process & Examples

After watching this video lesson, you will be able to evaluate a parametric equation for any given parameter. Learn the steps involved and what the complete answer looks like.

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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