# Ch 28: Praxis Middle School Math: Systems of Equations

### About This Chapter

## Praxis Middle School Math: Systems of Equations - Chapter Summary

Study in an efficient manner for the Praxis Middle School Math exam by working through these helpful video lessons. Topics you'll refresh your mind on include:

- Using a system of equations
- Solving a system of equations by substitution, elimination and graphing
- Solving a system of linear equations in two variables
- Graphing and solving two-variable inequalities
- Compound inequalities, set notation and systems of inequalities

Progressing through each lesson in this chapter isn't hard with the easy-to-use video format. These short lesson videos allow you to learn and review concepts regarding systems of equations in a fun manner. In turn, holding onto information for the exam won't be difficult at all. To see if you are retaining the material, use our lesson quizzes. They will let you know how ready you are for the Praxis Middle School Math exam.

### 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. Solving Simultaneous Linear Equations

In this video lesson, you will learn how to solve simultaneous linear equations or a system of linear equations. Learn the steps you need to take to solve any such system using the Gaussian elimination method.

### 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. How to Solve a System of Equations by Substitution

Watch this video lesson to learn how you can solve a system of equations by using the substitution method. Learn the key to using the substitution method and take a quiz to practice your new skills.

### 5. How to Solve a System of Equations by Elimination

After watching this video lesson, you will have learned how to solve a system of equations by using the elimination method. You will learn what is being eliminated and how to do it so that you end with your solution.

### 6. How to Solve a System of Equations by Graphing

Watch this video lesson to learn how you can solve a system of equations by graphing. Learn when you have a solution and when you don't. Also learn how easy the solution is to spot.

### 7. 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.

### 8. Solving Problems Involving Systems of Equations

Did you ever encounter a problem where you seem to have lots of information, but still have a couple of critical numbers missing? In this lesson, we'll practice solving word problems that require us to set up systems of equations.

### 9. Solving and Graphing Two-Variable Inequalities

With an inequality like y < 2x - 3, where do we start? We can look at y = 2x - 3 and graph it. We can use the graph to define all of the possible solutions.

### 10. 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.

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### Other Chapters

Other chapters within the Praxis Middle School Mathematics (5169): Practice & Study Guide course

- Praxis Middle School Math: Number Basics
- Praxis Middle School Math: Rational Numbers
- Praxis Middle School Math: Properties of Numbers
- Praxis Middle School Math: Number Structure
- Praxis Middle School Math: Absolute Value
- Praxis Middle School Math: Equality
- Praxis Middle School Math: Arithmetic Operations
- Praxis Middle School Math: Introduction to Fractions
- Praxis Middle School Math: Operations with Fractions
- Praxis Middle School Math: Decimals
- Praxis Middle School Math: Percents
- Praxis Middle School Math: Ratios & Rate of Change
- Praxis Middle School Math: Proportional Relationships
- Praxis Middle School Math: Estimation
- Praxis Middle School Math: Scientific Notation & Exponents
- Praxis Middle School Math: Square Roots
- Praxis Middle School Math: Roots & Radicals
- Praxis Middle School Math: Algebra Basics
- Praxis Middle School Math: Principles of Algebra
- Praxis Middle School Math: Solving Word Problems
- Praxis Middle School Math: Functions
- Praxis Middle School Math: Linear Equations
- Praxis Middle School Math: Solving Linear Equations
- Praxis Middle School Math: Patterns in Math
- Praxis Middle School Math: Graphing Functions
- Praxis Middle School Math: Polynomials
- Praxis Middle School Math: Quadratic Equations
- Praxis Middle School Math: Area, Perimeter & Volume
- Praxis Middle School Math: Properties & Theorems
- Praxis Middle School Math: Parallel, Perpendicular & Intersecting Lines
- Praxis Middle School Math: Properties of Triangles
- Praxis Middle School Math: Similarity & Congruence
- Praxis Middle School Math: Quadrilaterals
- Praxis Middle School Math: Polygons
- Praxis Middle School Math: Circles
- Praxis Middle School Math: Coordinate Geometry
- Praxis Middle School Math: Measurement
- Praxis Middle School Math: Geometric Construction
- Praxis Middle School Math: Data
- Praxis Middle School Math: Line Graphs
- Praxis Middle School Math: Data Presentation
- Praxis Middle School Math: Probability
- Praxis Middle School Math: Counting Principles
- Praxis Middle School Math: Data Sets
- Praxis Middle School Math: Logic
- Praxis Middle School Math: Modeling
- Praxis Middle School Mathematics Flashcards