Ch 15: ORELA Math: Quadratic Equations

About This Chapter

Oregon has replaced the ORELA Math test for teacher certification with the National Evaluation Series (NES) test. Watch this chapter's online video lessons to strengthen your understanding of quadratic equations as you prepare for this test.

ORELA Math: Quadratic Equations - Chapter Summary

The video lessons in this chapter are designed to remind you of the necessary steps for solving quadratic equations. While preparing to take the ORELA Math examination, you'll review the rules for multiplying terms and combining like terms as well as strategies for using the area, FOIL and claw methods. These video lessons can offer assistance with:

  • Graphing parabolas in intercept, vertex and standard form
  • Defining and multiplying binomials
  • Using the FOIL in reverse method
  • Understanding the process of completing the square
  • Factoring in order to solve quadratic equations
  • Using the quadratic formula instead of factoring
  • Using the quadratic formula or the factoring method to solve equations that aren't in standard form

The video lesson instructors aim to provide you with a clear understanding of the above methods and concepts. Review the lessons at your convenience and ask related questions of the instructors. You have the option of studying the written transcripts rather than watching the videos. You can also learn anywhere as long as you have access to an Internet-ready device. The self-assessment quizzes and chapter examination will test your knowledge of quadratic equations.

7 Lessons in Chapter 15: ORELA Math: Quadratic Equations
Test your knowledge with a 30-question chapter practice test
Parabolas in Standard, Intercept, and Vertex Form

1. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

Multiplying Binomials Using FOIL and the Area Method

2. Multiplying Binomials Using FOIL and the Area Method

From the distributive property, to FOIL, to the area model, to happy faces and claws, there are many different ways to learn how to multiply binomials. In this lesson, you'll learn how to use all of them and get to pick which one you like the most.

How to Factor Quadratic Equations: FOIL in Reverse

3. How to Factor Quadratic Equations: FOIL in Reverse

So, you know how to multiply binomials with the FOIL method, but can you do it backwards? That's exactly what factoring is, and it can be pretty tricky. Check out this lesson to learn a method that will allow you to factor quadratic trinomials with a leading coefficient of 1.

How to Complete the Square

4. How to Complete the Square

Completing the square can help you learn where the maximum or minimum of a parabola is. If you're running a business and trying to make some money, it might be a good idea to know how to do this! Find out what I'm talking about here.

How to Solve a Quadratic Equation by Factoring

5. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

How to Use the Quadratic Formula to Solve a Quadratic Equation

6. How to Use the Quadratic Formula to Solve a Quadratic Equation

When solving a quadratic equation by factoring doesn't work, the quadratic formula is here to save the day. Learn what it is and how to use it in this lesson.

How to Solve Quadratics That Are Not in Standard Form

7. How to Solve Quadratics That Are Not in Standard Form

It isn't always the case that your equation will be set up nicely for you to solve. In this lesson, learn how to factor or use the quadratic formula to solve quadratic equations, even when they are not in standard form.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the ORELA Mathematics: Practice & Study Guide course

Support