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Ch 26: Working with Quadratic Equations: Help and Review

About This Chapter

The Working with Quadratic Equations chapter of this GED Math Help and Review course is the simplest way to master quadratic equations. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of working with quadratic equations for the GED math test.

Who's it for?

Anyone who needs help learning or mastering GED math material will benefit from taking this course. There is no faster or easier way to prepare for the GED math exam. Among those who would benefit are:

  • Students who have fallen behind in understanding how to multiply binomials or factor and solve quadratic equations
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about working with quadratic equations
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Working with Quadratic Equations chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Working with Quadratic Equations chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any quadratic equations question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in a quadratic equations unit of a standard high school math course. Topics covered include:

  • Identifying parabolas in standard, intercept and vertex forms
  • Using the FOIL and area methods to multiply binomials
  • Factoring quadratic equations using FOIL in reverse
  • Solving quadratic equations by factoring
  • Solving quadratic trinomials by factoring
  • Completing the square

11 Lessons in Chapter 26: Working with Quadratic Equations: Help and Review
What is a Parabola?

1. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

Parabolas in Standard, Intercept, and Vertex Form

2. 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

3. 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.

Multiplying Binomials Using FOIL & the Area Method: Practice Problems

4. Multiplying Binomials Using FOIL & the Area Method: Practice Problems

There are a few mistakes that are easy to make when multiplying binomials with FOIL and also a few ways to complicate problems like this, so why not make sure you're brushed up on your skills? You'll also learn a shortcut and how to use the area method to multiply even bigger polynomials.

How to Factor Quadratic Equations: FOIL in Reverse

5. 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

6. 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!

Solving Quadratic Trinomials by Factoring

7. Solving Quadratic Trinomials by Factoring

Factoring is a quick and easy way to find the solutions to a quadratic trinomial. Watch this video lesson to learn how you can use this method to solve your quadratics.

How to Complete the Square

8. 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

9. 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

10. 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!

What is the Quadratic Formula? - Definition, Equation & Proof

11. What is the Quadratic Formula? - Definition, Equation & Proof

The quadratic formula is a method that is used to find the roots of a quadratic equation. In this lesson, you will learn about the history of the quadratic formula, how to use it and prove it. A quiz at the end will solidify what you've learned.

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