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Ch 31: MTTC Math (Secondary): Working with Quadratic Equations

About This Chapter

Let us help you prepare for the MTTC Mathematics (Secondary) assessment with the help of short and engaging video lessons. Review the steps for working with quadratic equations then take lesson quizzes to gauge your comprehension of the materials.

MTTC Math (Secondary): Working with Quadratic Equations - Chapter Summary

The video lessons in this chapter can help you prepare for the MTTC Mathematics (Secondary) assessment by taking an in-depth look at how to work with quadratic equations. Upon completion of this chapter, you will have strong comprehension of the following:

  • Factoring quadratic equations and FOIL in reverse
  • Steps for completing a square
  • Solving quadratic equations by factoring and with complex numbers as the solution
  • Graphing and solving quadratic inequalities and a system of inequalities
  • Applying quadratic functions to motion under gravity

Instructors in the videos offer step-by-step guidance to help you fully understand the materials. The videos are presented in an entertaining visual format that makes the learning process fun.

Objectives of the MTTC Math (Secondary): Working with Quadratic Equations Chapter

The topics covered in the MTTC Math (Secondary): Working with Quadratic Equations chapter are found in the patterns, algebraic relationships and functions portion of the MTTC Mathematics (Secondary) assessment, which constitutes approximately 28% of the total exam. The assessment gauges your readiness to secure secondary-level certification in Michigan and teach mathematics in the classroom. You can use the video lessons to strengthen your ability to work with quadratic equations and take self-assessment quizzes to test your readiness to tackle this topic on the exam. Instructors are available to answer any questions you may have about the lessons.

The assessment is made up of all multiple-choice questions, most of which come in the form of short paragraphs, sentences or questions. Some questions feature a table, graph or diagram designed to help you conceptualize and solve a problem. Following each question is a set of four answers. You will be asked to choose one of the four as the best option.

10 Lessons in Chapter 31: MTTC Math (Secondary): Working with Quadratic Equations
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.

Completing the Square Practice Problems

4. Completing the Square Practice Problems

Completing the square is one of the most confusing things you'll be asked to do in an algebra class. Once you get the general idea, it's best to get in there and actually do a few practice problems to make sure you understand the process. Do that 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 Solve Quadratics with Complex Numbers as the Solution

6. 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

7. 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

8. 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

9. 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

10. 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 MTTC Mathematics (Secondary) (022): Practice & Study Guide course

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