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Ch 27: MTEL Math: Working with Quadratic Functions

About This Chapter

Get ready for the MTEL Math exam by working through the materials in this chapter. They will help better your understanding of how to work with quadratic functions.

MTEL Math: Working with Quadratic Functions - Chapter Summary

Taking an in-depth look at each lesson in this chapter will improve your skills in working with quadratic functions. Use these lessons to help you prepare for related questions on the MTEL Math exam. After working through this chapter, you'll have improved your skills in:

  • Using FOIL in reverse
  • Factoring quadratic equations
  • Completing the square
  • Using factoring to solve quadratic equations
  • Graphing and solving quadratic inequalities
  • Using quadratic functions to model a data set
  • Applying quadratic functions to motion
  • Graphing systems of inequalities

Reviewing the material in these lessons is a great way to build up the necessary skills for the exam. Take quizzes that follow each lesson to make sure the information sticks. If you need assistance with a particular topic, you can always get help from one of our qualified instructors.

MTEL Math: Working with Quadratic Functions Chapter Objectives

Taking and passing the MTEL Math exam gives you the opportunity to receive a license in Massachusetts as a math educator. There are six different sections on this exam, with the content in this chapter aligning to the Patterns, Relations, and Algebra section of the exam. This section makes up 23% of the entire test. The test as a whole contains 100 multiple-choice questions and two written assignments. In order to pick up the right strategies for working with quadratic functions, review each lesson as many times as you need.

9 Lessons in Chapter 27: MTEL Math: Working with Quadratic Functions
Test your knowledge with a 30-question chapter practice test
How to Factor Quadratic Equations: FOIL in Reverse

1. 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.

Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

2. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

Once you get good at factoring quadratics with 1x squared in the front of the expression, it's time to try ones with numbers other than 1. It will be the same general idea, but there are a few extra steps to learn. Do that here!

How to Complete the Square

3. 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

4. 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 Solve Quadratics with Complex Numbers as the Solution

5. 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!

Graphing & Solving Quadratic Inequalities: Examples & Process

6. Graphing & Solving Quadratic Inequalities: Examples & Process

When you finish watching this video lesson, you will be able to graph and solve your own quadratic inequality. Learn what steps you need to take and what to watch for.

Graphing a System of Quadratic Inequalities: Examples & Process

7. Graphing a System of Quadratic Inequalities: Examples & Process

What is a system of quadratic inequalities? What are the steps to graphing them? Find the answers to these questions by watching this video lesson. When you finish, you will be able to graph these yourself.

Applying Quadratic Functions to Motion Under Gravity & Simple Optimization Problems

8. Applying Quadratic Functions to Motion Under Gravity & Simple Optimization Problems

Quadratic functions are very useful in the real world. Watch this video lesson and learn how these functions are used to model real world events such as a falling ball.

Using Quadratic Functions to Model a Given Data Set or Situation

9. Using Quadratic Functions to Model a Given Data Set or Situation

Watch this video lesson to learn how quadratic functions are used to model situations and data gathered from real world scenarios. See how our function fits our data and situation well.

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.
Not Taken

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Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

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