# Ch 5: Ohio EOCE Integrated Math I: Systems of Linear Equations

### About This Chapter

## Ohio EOCE Integrated Math I: Systems of Linear Equations - Chapter Summary

In this chapter are lessons that provide an in-depth look at systems of linear equations. Explore definitions, mathematical operations and examples of this subject area to ensure you're prepared for questions on the Ohio EOCE - Integrated Math I exam that ask you to:

- Identify different parts of a graph
- Demonstrate your knowledge of intercepts, standard form and graphing linear equations
- Understand abstract algebraic examples and going from a graph to a rule
- Show how to graph undefined slope, zero slope and more
- Define and explain how to use a system of equations
- Solve a system of linear equations in two variables
- Exhibit an ability to solve a linear system in three variables with a solution, with no solution or with infinite solutions

Easily navigate the lessons in this chapter by choosing the first you want to watch then scrolling along the right-hand sidebar to review others in any sequence you desire. Lessons are available as fun videos or full transcripts. Access them any time and as often as needed until you fully comprehend systems of linear equations. Before taking the exam, be sure to test your knowledge of the subject area by completing short lesson quizzes and a practice chapter exam. If you have questions about any lesson topic, feel free to submit them to our experts.

### 1. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 2. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

### 3. Abstract Algebraic Examples and Going from a Graph to a Rule

Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.

### 4. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

### 5. 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.

### 6. 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.

### 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. 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.

### 9. 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.

### 10. Solving a System of Equations with Two Unknowns

When you have two variables and two equations, is solving the problem four times as hard? No! Not when you use the substitution or elimination method to solve systems of equations. We'll practice both in this lesson.

### 11. 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.

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### Other Chapters

Other chapters within the Ohio End of Course Exam - Integrated Math I: Test Prep & Practice course

- Ohio EOCE Integrated Math I: Basic Math
- Ohio EOCE Integrated Math I: Decimals & Percents
- Ohio EOCE Integrated Math I: Inequalities
- Ohio EOCE Integrated Math I: Solving Linear Equations
- Ohio EOCE Integrated Math I: Distributing Terms in Algebra
- Ohio EOCE Integrated Math I: Exponents
- Ohio EOCE Integrated Math I: Polynomials
- Ohio EOCE Integrated Math I: Rational Expressions
- Ohio EOCE Integrated Math I: FOIL & Quadratic Equations
- Ohio EOCE Integrated Math I: Functions Overview
- Ohio EOCE Integrated Math I: Matrices & Absolute Value
- Ohio EOCE Integrated Math I: Square Roots
- Ohio EOCE Integrated Math I: Basic Algebra
- Ohio EOCE Integrated Math I: Rotations
- Ohio EOCE Integrated Math I: Foundations of Geometry
- Ohio EOCE Integrated Math I: Theorems & Proofs
- Ohio EOCE Integrated Math I: Complex Numbers
- Ohio EOCE Integrated Math I: Exponential & Logarithmic Expressions
- Ohio EOCE Integrated Math I: Factorials & Binomial Theory
- Ohio EOCE Integrated Math I: Sequences & Series
- Ohio End of Course Exam - Integrated Math I Flashcards