About This Chapter
ASVAB Math: Working with Quadratic Equations - Chapter Summary
You can utilize the video lessons in this chapter to study how to graph parabolas in standard form or find its maximum and minimum. Rediscover how to use the factoring method to solve quadratic trinomials and refresh your memories of the FOIL method. After viewing the video lessons, you should be able to answer test questions that ask you to:
- Identify and define the parts of a parabola
- Describe the three forms of a parabola
- Use the FOIL and area methods to multiply binomials
- Factor quadratic equations using the FOIL in reverse or with non-1 leading coefficients
- Solve quadratic trinomials
- List the steps for completing the square
The material in the video lessons reflect the kinds of topics you'll find on the math section of the ASVAB military entrance examination. The information is presented by instructors who make the learning process fun. In addition to the video tags that allow you to re-watch the lessons at any point, you can take advantage of the self-assessment quizzes and a chapter examination.
ASVAB Math: Working with Quadratic Equations Chapter Objectives
The Arithmetic Reasoning portion of the ASVAB military entrance examination consists of about 30 multiple-choice questions. The material that is covered in this chapter may be found in this section of the ASVAB examination, which could also test your knowledge of exponents, fractions, factorials, prime numbers and the rules for rounding, among other subjects.
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.
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.
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.
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.
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.
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!
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.
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.
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!
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!
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Other chapters within the ASVAB Mathematics Knowledge: Study Guide & Test Prep course
- ASVAB Math: Basic Arithmetic
- ASVAB Math: Math Expressions and Formulas
- ASVAB Math: Solving Math Word Problems
- ASVAB Math: Rounding Numbers and Decimals
- ASVAB Math: Fractions
- ASVAB Math: Factorials in Math
- ASVAB Math: Reciprocals
- ASVAB Math: Types of Numbers
- ASVAB Math: Patterns & Sequences
- ASVAB Math: Exponents
- ASVAB Math: Properties of Exponents
- ASVAB Math: Algebraic Expressions and Equations
- ASVAB Math: Factoring
- ASVAB Math: Quadratic Equations
- ASVAB Math: Inequalities
- ASVAB Math: Calculating Interest
- ASVAB Math: Circles
- ASVAB Math: Geometry
- About the ASVAB Test
- ASVAB Mathematics Knowledge Flashcards