About This Chapter
PSAT Math: Quadratic Equations - Chapter Summary
The purpose of this chapter is help you review various methods for solving quadratic equations before you take the PSAT Math examination. The factoring, FOIL and area methods are explained in detail, and you'll have plenty of opportunities to practice applying problem-solving strategies. This chapter could help you with:
- Solving quadratics that aren't in standard form
- Using the factoring method to solve quadratic equations
- Factoring quadratics with non-1 leading coefficients
- Applying the FOIL, area and FOIL in reverse methods when multiplying binomials and factoring quadratics
- Performing math operations with polynomials
- Practicing the process of completing the square by transforming a quadratic equation
Well-qualified teachers narrate these self-paced video lessons, which are between five and ten minutes in length. With years of experience in mathematics, our experts can answer your submitted questions on quadratic equations. Study anytime, 24/7, via your mobile device. When you click the timeline link , you'll be able to use video tags that take you instantly from one main topic to the next. You can also pause or rewind to take notes or absorb the information. Test your knowledge with the short self-assessment quizzes. You might even print out the results for use as offline study tools.
PSAT Math: Quadratic Equations Chapter Objectives
Showcase what you understand about quadratic equations and other mathematics operations and concepts when you take the paper-based PSAT Math examination. You'll use a pencil to write your answers and fill in circles on the grid. You can use a calculator on one of the math examination's two sections. Most of the questions are in multiple-choice form, with the exception of some 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 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!
3. 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!
4. 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.
5. 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.
6. 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!
7. 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.
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!
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Other chapters within the PSAT Prep: Practice & Study Guide course
- PSAT: About the Test
- PSAT Writing: About the Writing & Language Test
- PSAT Writing: Sentence Clarity and Structure
- PSAT Writing Usage & Punctuation
- Word Use & Expressions in Writing
- Argument & Evidence Analysis in Writing
- About the PSAT Reading Test
- PSAT Reading: Reading Passages
- PSAT Reading: Understanding Reading Passages
- PSAT Reading: Interpretation & Analysis of Text
- Analyzing Data & Graphs in a Reading Passage
- PSAT Reading: Literary Terms
- Important U.S. Documents & Speeches
- Analyzing Words in Context while Reading
- PSAT Math: About the Math Test
- PSAT Math: Numbers and Operations
- PSAT Math: Equations and Expressions
- PSAT Math: Exponents
- PSAT Math: Rational Equations and Expressions
- PSAT Math: Inequalities
- PSAT Math: Functions
- PSAT Math: Ratios, Rates & Proportion
- PSAT Math: Geometry and Measurement
- PSAT Math: Triangles & Trigonometric Ratios
- PSAT Math: Data Analysis, Statistics and Probability