Ch 12: ORELA Math: Linear Equations

About This Chapter

The state of Oregon now administers the National Evaluation Series (NES) test for teacher certification instead of the ORELA Math test. Explore topics related to linear equations in this chapter, then answer those kinds of questions on the test.

ORELA Math: Linear Equations - Chapter Summary

Use these math lessons to review and expand what you know about linear equations. Watch online videos that cover some of the terms and definitions you need to know to pass the ORELA Math examination. You'll strengthen your knowledge of the rules for writing linear equations, and you'll explore techniques for graphing systems of equations. The videos are designed to assist you in:

  • Describing the different forms of linear equations
  • Defining slopes and locating the slopes and intercepts of lines
  • Distinguishing between and graphing zero and undefined slope
  • Using point slope formula
  • Reviewing the rules for translating one-step equations and for solving multiple-step equations
  • Using the addition and multiplication principles when solving equations
  • Identifying and collecting like terms
  • Determining which problems have no answers and which have infinite solutions

These and other concepts are examined throughout these brief video lessons, which are taught by experienced instructors. The information is entertaining as well as educational, and it is designed to help you answer the linear equations questions you'll find on the ORELA Math examination. Watch the videos, ask questions of the instructors or refer to the text transcripts as necessary. Each lesson is followed by a self-assessment quiz that measures your retention.

11 Lessons in Chapter 12: ORELA Math: Linear Equations
Test your knowledge with a 30-question chapter practice test
Linear Equations: Intercepts, Standard Form and Graphing

1. 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.

How to Find and Apply The Slope of a Line

2. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

How to Find and Apply the Intercepts of a Line

3. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

Graphing Undefined Slope, Zero Slope and More

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!

Equation of a Line Using Point-Slope Formula

5. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

Defining, Translating, & Solving One-Step Equations

6. Defining, Translating, & Solving One-Step Equations

Watch this video lesson to learn how you can write a simple math equation when you are given a word problem. Learn how to translate words into math symbols. Learn the shortcuts to remember.

Solving Equations Using the Addition Principle

7. Solving Equations Using the Addition Principle

In algebra, we have certain principles that we use to help us solve equations quickly and easily. The addition principle is one of them. Watch this video lesson to learn how you can apply it to solve your equations.

Solving Equations Using the Multiplication Principle

8. Solving Equations Using the Multiplication Principle

When it comes to solving equations in algebra, one of the essential skills you need is the ability to multiply. Watch this video lesson to learn how you can use the multiplication principle to isolate your variable.

Collecting Like Terms On One Side of an Equation

9. Collecting Like Terms On One Side of an Equation

When you are using algebra to solve your problems, one of your biggest and most often used methods is that of collecting like terms. Watch this video lesson to see how it is done.

Solving Equations with Infinite Solutions or No Solutions

10. Solving Equations with Infinite Solutions or No Solutions

In algebra, there are two scenarios that give us interesting results. Watch this video lesson to learn how you can distinguish problems that have no answers and problems that have an infinite number of answers.

How to Solve Equations with Multiple Steps

11. How to Solve Equations with Multiple Steps

In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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