# Ch 7: Quadratic Equations

### About This Chapter

## 2014 GED Mathematical Reasoning: Quadratic Equations - Chapter Summary

Learn to solve quadratic equations using a variety of methods through our 2014 GED Mathematical Reasoning lessons. The chapter teaches you important formulas, factoring techniques and binomial uses when presented with quadratic math problems. Lessons cover topics on:

- Greatest common factors
- Multiplication properties
- Quadratic formulas
- Non-standard quadratics
- Quadratic inequalities

The lessons on quadratic equations come with a variety of example math problems and formulas. You'll be able to take self-assessment quizzes to test your learning of each lesson. These short video lessons break the material down in an easy-to-understand manner that can help you pass the 2014 GED Mathematical Reasoning exam.

### 2014 GED Mathematical Reasoning Objectives

The 2014 GED exam replaced the 2002 GED exam in January of 2014. This new exam is entirely computer based and now adheres to the Common Core State Standards. The mathematical reasoning exam is one of four tests that make up the 2014 GED exam. Algebraic problem solving (which can include quadratic equations) constitutes 55% of the mathematical reasoning exam. The chapter's lessons explore topics that you can expect to find on the actual 2014 GED Mathematical Reasoning exam. Some of the objectives include:

- Defining quadratic equations and their role in algebra
- Showing how quadratic equations can result in two different solutions
- Assigning a greatest common factor to solve quadratic equations
- Using the quadratic formula to solve quadratic equations
- Solving quadratics that are not written in standard form
- Figuring out quadratic inequalities using two binomials

The mathematical reasoning section of the 2014 GED must be completed in 90 minutes and consists of two parts. The first part is composed of five questions that you must answer without the assistance of a calculator. The second section allows the use of calculators. The exam includes a combination of multiple choice, fill-in-the-blank, drag-and-drop and hot spot questions.

### 1. What is a Quadratic Equation? - Definition & Examples

You might be surprised to learn that quadratic equations are an important part of the world we live in. We sometimes even make use of them for our entertainment! Watch this video lesson to learn more about these equations.

### 2. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero

When it comes to solving quadratics, we have at our disposal several methods. Watch this video lesson to learn one such method you can use to solve quadratics that don't have a constant term.

### 3. 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.

### 4. 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.

### 5. Solving Quadratic Inequalities Using Two Binomials

Watch this video lesson to learn what simple steps you can take to solve quadratic inequalities using two binomials. See how it only requires a few steps to solve quadratic inequalities using this method.

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### Other Chapters

Other chapters within the Accuplacer Math: Advanced Algebra and Functions Placement Test Study Guide course

- Arithmetic with Rational Expressions
- Factoring in Algebra
- Expanding Polynomials
- Manipulating Roots
- Working with Exponents & Exponential Expressions
- Solving & Graphing Linear Equations
- Calculating & Graphing Inequalities
- Solving Systems of Linear Equations
- Geometric Angles & Shapes
- Line Theorems
- Similarity & Congruency in Geometry
- Pythagorean Theorem
- Graphs of Algebraic Functions
- Understanding Exponential & Logarithmic Functions
- Trigonometric Functions & Equations
- Accuplacer Math: Advanced Algebra and Functions Placement Test Flashcards