About This 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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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Other chapters within the Holt McDougal Algebra 2: Online Textbook Help course
- Holt McDougal Algebra 2 Chapter 1: Foundations for Functions
- Holt McDougal Algebra 2 Chapter 2: Linear Functions
- Holt McDougal Algebra 2 Chapter 4: Matrices
- Holt McDougal Algebra 2 Chapter 5: Quadratic Functions
- Holt McDougal Algebra 2 Chapter 6: Polynomial Functions
- Holt McDougal Algebra 2 Chapter 7: Exponential and Logarithmic Functions
- Holt McDougal Algebra 2 Chapter 8: Rational and Radical Functions
- Holt McDougal Algebra 2 Chapter 9: Properties and Attributes of Functions
- Holt McDougal Algebra 2 Chapter 10: Conic Sections
- Holt McDougal Algebra 2 Chapter 11: Probability and Statistics
- Holt McDougal Algebra 2 Chapter 12: Sequences and Series
- Holt McDougal Algebra 2 Chapter 13: Trigonometric Functions
- Holt McDougal Algebra 2 Chapter 14: Trigonometric Graphs and Identities