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 NES Mathematics - WEST (304): Practice & Study Guide
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Ch 19: WEST Math: Systems of Equations

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About This Chapter

It's a good idea to hone your approach to linear equation systems before taking the WEST Math exam. Let our math experts help you through this series of self-guided video lessons.

WEST Math: Systems of Equations - Chapter Summary

Prepare for the WEST Math exam by reviewing systems of equations. We'll explore linear systems in this chapter, including systems with two and three variables. Additional topics include:

  • Writing an augmented matrix
  • Solving a system of linear equations using determinants
  • Solving a linear system with infinite solutions

In these fun and engaging video lessons, our world-class math instructors go over linear systems problems in a step-by-step, straightforward way, ensuring that you have the essentials down cold. You can always ask our teachers for help, and the short quizzes that conclude our lessons are a great way to assess what you've learned.

Objectives of the WEST Math: Systems of Equations Chapter

You need to pass the WEST Math exam in order to qualify for the math teaching endorsement in Washington State. This computer-based exam contains 150 multiple-choice questions divided into five main sub-areas. Problems involving systems of equations are largely included in the Patterns, Algebra and Functions sub-area of the test, which is the most sizable of the five sub-areas. This collection of Study.com video lessons will help you gain the skills needed to solve just about any problem on linear systems and closely related concepts.

You'll have four hours and 15 minutes to complete the WEST Math exam. To pass, you need to score at least 220 in total, and you'll get your results immediately after finishing the test. You can register online for the exam any time of the year. Pearson testing centers throughout Washington State offer the exam on a first-come, first-served basis.

7 Lessons in Chapter 19: WEST Math: Systems of Equations
Chapter Practice Test
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How to Solve a System of Linear Equations in Two Variables

1. 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

2. 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

3. 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.
How to Write an Augmented Matrix for a Linear System

4. How to Write an Augmented Matrix for a Linear System

Watch this video lesson to learn how you can turn your system of equations into matrix form. The matrix form is another way of writing your linear system that is sometimes easier to work with.
Solving Systems of Linear Equations in Two Variables Using Determinants

5. Solving Systems of Linear Equations in Two Variables Using Determinants

Watch this video lesson to learn how you can easily find the solution of a linear system in two variables by just using determinants. All you need to find the complete solution is to find three determinants.
Solving Systems of Linear Equations in Three Variables Using Determinants

6. Solving Systems of Linear Equations in Three Variables Using Determinants

Watch this video lesson to learn how to use Cramer's rule to help you find your solutions by finding just four determinants. Learn the numbers to use for your determinants.
Solving Systems of Nonlinear Equations in Two Variables

7. Solving Systems of Nonlinear Equations in Two Variables

In this lesson, we will take a look at how to solve non-linear systems of equations in two variables by exploring two solving techniques for these types of systems - graphing and substitution.
Chapter Practice Exam
Chapter Practice Exam
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Practice Final Exam
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