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Ch 15: NES Math: Quadratic Equations

About This Chapter

Watch our lessons to brush up on your understanding of quadratic equations, parabolas, FOIL, factoring and the quadratic formula. Use these short videos, quizzes and other study aids to support your preparation for the NES Math test.

NES Math: Quadratic Equations - Chapter Summary

Use this chapter's lessons to refresh your ability to solve quadratic equations as you prepare for the NES Math test. Our videos cover topics that include:

  • Standard, intercept and vertex forms of parabolas
  • FOIL and the area method of multiplying binomials
  • How to factor quadratic equations
  • How to complete the square
  • Use of factoring to solve a quadratic equation
  • The quadratic formula
  • Ways to solve quadratics not in standard form

Our instructors understand what success on the NES Math test requires, and they have created lively lessons and quizzes that use humor, examples and animation to get their points across. By including lesson quizzes and chapter exams, this study guide provides a way to see where you need extra study prior to test day. You can use the links in the clickable Timeline to return to specific parts of the lesson for review.

NES Math: Quadratic Equations Chapter Objectives

Several states have made passing the NES Math test one of the conditions for certification to teach the subject. The test is divided into five content domains, and questions on quadratic equations are in the largest section, Patterns, Algebra and Functions, which accounts for 24% of the test's total scoring.

All questions on the test are multiple-choice, like the questions on our quizzes and chapter exams. These tests let you become familiar with the format you'll encounter on the NES Math test and also allow you to assess your learning progress.

7 Lessons in Chapter 15: NES Math: Quadratic Equations
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.

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Other Chapters

Other chapters within the NES Mathematics (304): Practice & Study Guide course

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