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Ch 33: TExES Core Subjects 4-8: Quadratic Equations

About This Chapter

If you are a little fuzzy on what to do with quadratic equations, dust off the cobwebs of your memory by going over this chapter. Review the sample equations in each lesson as you bone up for the TExES Core Subjects 4-8 test.

TExES Core Subjects 4-8: Quadratic Equations - Chapter Summary

You may recall that you can use factoring to solve quadratic equations, but if you don't remember what to do beyond factoring, then this chapter is sure to refresh your memory. Go through all of the steps and formulas about quadratic equations in these lessons. By getting a recap of the information now, you'll be more likely to remember what to do when you face related questions on the TExES Core Subjects 4-8 test. The topics covered in this chapter are as follows:

  • The quadratic equation defined
  • Applying the multiplication property of zero
  • Identifying the greatest common factor
  • Solving quadratic equations by applying the quadratic formula
  • Finding solutions with or without the help of the standard form
  • Using substitution to find the answers to quadratic equations
  • Factoring using the reverse of FOIL
  • Complex number solutions and quadratics

You already know a lot of the information that will be covered on the TExES Core Subjects 4-8 test, but not everything is fresh in your mind, which is why you want to use our study guides to get you in shape for the test. The lessons in this chapter about quadratic equations will show you each step of the process, including the definitions of all the major terms you need to know as well as the formulas you'll need to memorize.

Many of our lessons even include a video component. One of the useful features of the video lessons is the timeline. This link, found underneath each video lesson, shows you a breakdown of the topics discussed within each lesson. For instance, if you remember how to find the greatest common factor, but the multiplication property of zero doesn't ring a bell, you can use the timeline feature to go directly to the portion of the lesson you need to review. This feature lets you micromanage exactly what you study.

7 Lessons in Chapter 33: TExES Core Subjects 4-8: Quadratic Equations
Test your knowledge with a 30-question chapter practice test
What is a Quadratic Equation? - Definition & Examples

1. What is a Quadratic Equation? - Definition & Examples

You might be surprised to learn that quadratic equations are an important part of the world we live in. We sometimes even make use of them for our entertainment! Watch this video lesson to learn more about these equations.

Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero

2. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero

When it comes to solving quadratics, we have at our disposal several methods. Watch this video lesson to learn one such method you can use to solve quadratics that don't have a constant term.

How to Use the Quadratic Formula to Solve a Quadratic Equation

3. 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

4. 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.

Solving Quadratic Equations by Substitution

5. Solving Quadratic Equations by Substitution

After watching this video lesson, you will be able to solve more complicated quadratic equations by the method of substitution. Learn how substitution makes your problem solving easier.

How to Factor Quadratic Equations: FOIL in Reverse

6. 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 Solve Quadratics with Complex Numbers as the Solution

7. How to Solve Quadratics with Complex Numbers as the Solution

When you solve a quadratic equation with the quadratic formula and get a negative on the inside of the square root, what do you do? The short answer is that you use an imaginary number. For the longer, more helpful answer, check out this lesson!

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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