About This Chapter
Ohio EOCE Integrated Math I: FOIL & Quadratic Equations- Chapter Summary
When you are taking the Ohio EOCE Integrated Math I exam, it is a good idea to be confident and familiar with all of the exam topics. In this chapter, we can help prepare you for this exam by making you an expert on FOIL and quadratic equations. After exploring the lessons in this chapter, you will be comfortable with these topics:
- Multiplication of binomials with the use of FOIL
- Factoring quadratic equations
- Completing squares
- Using the factoring method to solve quadratic equations
- Solving quadratic equations in non-standard form
- Standard, intercept and vertex form
Preparing for an exam can be stressful and overwhelming. In these lessons, our knowledgeable and professional instructors seek to cover the material about FOIL and quadratic equations that you need to know for the Ohio EOCE Integrated Math I exam. As you work through the lessons, if you ever find yourself struggling to understand a concept, our instructors are here to answer any questions you may have.
1. 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.
2. 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.
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.
4. 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!
5. 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.
6. 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!
7. 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!
8. 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.
9. 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.
10. 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.
11. 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.
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Other chapters within the Ohio End of Course Exam - Integrated Math I: Test Prep & Practice course
- Ohio EOCE Integrated Math I: Basic Math
- Ohio EOCE Integrated Math I: Decimals & Percents
- Ohio EOCE Integrated Math I: Inequalities
- Ohio EOCE Integrated Math I: Solving Linear Equations
- Ohio EOCE Integrated Math I: Systems of Linear Equations
- Ohio EOCE Integrated Math I: Distributing Terms in Algebra
- Ohio EOCE Integrated Math I: Exponents
- Ohio EOCE Integrated Math I: Polynomials
- Ohio EOCE Integrated Math I: Rational Expressions
- Ohio EOCE Integrated Math I: Functions Overview
- Ohio EOCE Integrated Math I: Matrices & Absolute Value
- Ohio EOCE Integrated Math I: Square Roots
- Ohio EOCE Integrated Math I: Basic Algebra
- Ohio EOCE Integrated Math I: Rotations
- Ohio EOCE Integrated Math I: Foundations of Geometry
- Ohio EOCE Integrated Math I: Theorems & Proofs
- Ohio EOCE Integrated Math I: Complex Numbers
- Ohio EOCE Integrated Math I: Exponential & Logarithmic Expressions
- Ohio EOCE Integrated Math I: Factorials & Binomial Theory
- Ohio EOCE Integrated Math I: Sequences & Series
- Ohio End of Course Exam - Integrated Math I Flashcards