About This Chapter
SAT Math: Quadratic Equations - Chapter Summary
This chapter on quadratic equations is designed to help you review familiar concepts and impart new information as you get ready to take the math section of the SAT examination. Prepare by watching video lessons that demonstrate how to use the area method to factor equations, perform operations with binomials and polynomials, and factor quadratic expressions. The use of the FOIL method is also outlined. Study the lessons in order to:
- Calculate non-standard quadratic equations
- Solve equations with the quadratic formula
- Change an equation to intercept form from standard form by factoring
- Work with polynomials with a non-1 leading coefficient
- Use the FOIL method to multiply binomials and complete practice problems
- Review the rules for multiplying, adding and subtracting polynomials
- Use the FOIL in reverse method
- Discover how to complete the square
All of this chapter's lessons are self paced and easily accessible 24/7 via a mobile device. While you get set to pass the math portion of the SAT examination, watch the informative videos and submit your questions to the knowledgeable instructors. You'll find main video topics under the timeline link. The online lessons include written transcripts that contain bold keywords. You'll also find self-assessment quizzes in this chapter. Print them out for even greater convenience.
SAT Math: Quadratic Equations Chapter Objectives
There are four content areas on the math section of the SAT examination. Express your knowledge of quadratic equations when you're answering questions on the examination's Passport to Advanced Math section. This chapter's lessons reflect some of the questions and concepts you'll encounter. Overall, there are 58 questions on the SAT Math examination. You'll complete 45 standard multiple-choice questions along with 13 student-produced response questions.
1. 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.
2. 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.
3. 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!
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. 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.
6. 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.
7. How to Add, Subtract and Multiply Polynomials
Adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about, but this video will show you that's no problem, so no worries! This method has worked for many of my students, and I think it will work for you, too!
8. 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.
9. 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.
10. 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!
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Other chapters within the SAT Prep: Practice & Study Guide course
- SAT: About the Test
- SAT Writing: About the Writing Section
- SAT Writing: Text & Argument Analysis
- SAT Writing: Word Choice & Expression
- SAT Writing: Standard English Grammar
- SAT Writing: Writing & Language Test Practice
- SAT Writing: The Essay Portion
- SAT Writing: Planning and Writing Your Essay
- SAT Writing: Parts of an Essay
- SAT Writing: Sentence Clarity and Structure
- SAT Writing: Essay Writing Skills
- SAT Writing: How to Write An Argument
- SAT Writing: Supporting Your Writing
- SAT Writing: Revising Your Writing
- SAT Reading: About the Reading Section
- SAT Reading: Reading Passages
- SAT Reading: Understanding Reading Passages
- SAT Reading: Interpreting & Analyzing Text
- SAT Reading: Literary Terms
- SAT Reading: US Documents & Speeches
- SAT Vocabulary Practice
- SAT Math: About the Math Section
- SAT Math: Numbers and Operations
- SAT Math: Exponents
- SAT Math: Equations and Expressions
- SAT Math: Rational Equations and Expressions
- SAT Math: Inequalities
- SAT Math: Functions
- SAT Math: Ratios, Rates & Proportional Relationships
- SAT Math: Unit Rate & Measurement Conversions
- SAT Math: Geometry and Measurement
- SAT Math: Triangles & Trigonometric Ratios
- SAT Math: Data Analysis, Statistics and Probability
- SAT Prep Flashcards
- SAT Flashcards