College Algebra DeMYSTiFieD, 2nd Edition

College Algebra DeMYSTiFieD, 2nd Edition

by Rhonda Huettenmueller

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Overview

College Algebra DeMYSTiFieD, 2nd Edition by Rhonda Huettenmueller

Don't let quadratic equations make you irrational

If you are absolutely confused by absolute value equations, or you think parabolas are short moral stories, College Algebra DeMYSTiFied, Second Edition is your solution to mastering the topic's concepts and theories at your own pace. This thoroughly revised and updated guide eases you into the subject, beginning with the math fundamentals then introducing you to this advanced form of algebra. As you progress, you will learn how to simplify rational expressions, divide complex numbers, and solve quadratic equations. You will understand the difference between odd and even functions and no longer be confused by the multiplicity of zeros. Detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.


It's a no-brainer! You'll learn about:

  • The x-y coordinate plane
  • Lines and intercepts
  • The FOIL method
  • Functions
  • Nonlinear equations
  • Graphs of functions
  • Exponents and logarithms


Simple enough for a beginner, but challenging enough for an advanced student, College Algebra DeMYSTiFieD, Second Edition is your shortcut to a working knowledge of this engaging subject.

Product Details

ISBN-13: 9780071815840
Publisher: McGraw-Hill Professional Publishing
Publication date: 01/01/2014
Series: Demystified Series
Edition description: List
Pages: 512
Sales rank: 103,271
Product dimensions: 7.20(w) x 9.00(h) x 1.00(d)

About the Author

Rhonda Huettenmueller has been teaching college mathematics for more than 20 years. She regularly teaches algebra, college algebra, and pre-calculus courses, along with more specialized versions of the classes for business students. Rhonda is the author of Algebra DeMYSTiFieD, McGraw-Hill's most successful DeMYSTiFieD book to date, College Algebra DeMYSTiFieD, and Business Calculus DeMYSTiFieD.


Table of Contents

Introduction xiii

Chapter 1 Fundamentals 1

The Distributive Property 2

Rational Expressions 7

Simplifying Rational Expressions 8

Multiplying Rational Expressions 8

Adding Rational Expressions 9

Exponents and Roots 13

Summary 17

Quiz 18

Chapter 2 Linear Equations and Inequalities 21

Basic Linear Equations 22

Equations Leading to Linear Equations 25

Absolute Value Equations 30

Linear Inequalities 35

Compound Inequalities 36

Absolute Value Inequalities 39

Summary 47

Quiz 49

Chapter 3 Quadratic Equations 51

Solving Quadratic Equations by Factoring 52

The Quadratic Formula 53

Completing the Square 56

Summary 63

Quiz 64

Chapter 4 The xy-Coordinate Plane 65

Plotting Points 66

The Distance Between Two Points 67

The Midpoint Formula 76

Circles 77

Summary 88

Quiz 89

Chapter 5 Lines and Parabolas 91

Introduction to Lines 92

Intercepts 95

The Slope of a Line 102

Horizontal and Vertical Lines 105

Finding an Equation for a Line 107

The Slope-Intercept Form of a Line 112

Graphing the Line Using the Slope and y-Intercept 113

Parallel and Perpendicular Lines 116

Linear Applications 123

Parabolas 134

Sketching the Graph of a Parabola 135

Locating the Vertex by Completing the Square 141

Summary 147

Quiz 149

Chapter 6 Nonlinear Inequalities 153

Solving Nonlinear Inequalities Graphically 154

Solving Nonlinear Inequalities 157

Sign Graphs 159

Rational Inequalities 165

Summary 173

Quiz 174

Chapter 7 Functions 175

Introduction to Functions 176

Evaluating Functions 178

Evaluating Piecewise Functions 180

Domain and Range 182

Functions and Their Graphs 188

Finding the Domain and Range Graphically 193

Increasing Intervals and Decreasing Intervals 197

The Graph of a Piecewise Function 200

More on Evaluating Functions 209

The Difference Quotient 212

Summary 217

Quiz 220

Chapter 8 Quadratic Functions 223

A Review of a Parabola's Vertex 224

The Range of a Quadratic Function 226

The Maximum/Minimum of a Quadratic Function 228

Applied Maximum/Minimum Problems 230

Revenue-Maximizing Price 239

Maximizing/Minimizing Other Functions 242

Summary 243

Quiz 244

Chapter 9 Transformations and Combinations 247

Transformations 248

Reflections, and Vertical Stretching and Compressing 253

Sketching the Graph of a Transformation 259

Special Functions 264

Even/Odd Functions 281

Combining Functions 286

Function Composition 287

Function Composition for a Single Value 290

The Domain for the Composition of Functions 295

Summary 298

Quiz 300

Chapter 10 Polynomial Functions 305

Introduction to Polynomial Functions 306

Sketching Graphs of Polynomials 314

Polynomial Division 317

Synthetic Division 324

Synthetic Division and Factoring 331

Rule of Signs and Upper and Lower Bounds Theorem 340

Complex Numbers 346

Complex Solutions to Quadratic Equations 354

The Fundamental Theorem of Algebra 357

Summary 370

Quiz 372

Chapter 11 Systems of Equations and Inequalities 375

Systems of Linear Equations 376

Elimination by Addition 380

Applications for Systems of Equations 390

Systems Containing Nonlinear Equations 396

Inequalities and Systems of Inequalities 401

Systems of Inequalities 408

Summary 419

Quiz 421

Chapter 12 Exponents and Logarithms 425

Compound Growth 426

The Number e 430

Increasing Population 431

Logarithms 434

Properties of Logarithms 436

Three More Important Logarithm Properties 439

Using Multiple Logarithm Properties 441

Equations Involving Exponents and Logarithms 445

Exponent and Logarithm Functions 453

The Domain of a Logarithm Function 459

Summary 460

Quiz 463

Final Exam 467

Answers to Quizzes and Final Exam 483

Index 487

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College Algebra DeMYSTiFieD, 2nd Edition 3 out of 5 based on 0 ratings. 1 reviews.
Anonymous More than 1 year ago
I purchased this book to brush up on math, as I need to take a graduate proficiency exam. This book is very good at conveying the subject matter. The one downside I have come across is that there are several mistakes in the solutions to problems which can become annoying. After a couple of headaches trying to figure out how my answer was different, I got wolfram alpha pro to check my work. I have found 2 errors that were just wrong and a couple other misleading typographical errors. Despite this annoyance the author conveys the material in a very easy to read way. Furthermore, the chapters all lead into each other which makes for an extremely streamlined experience. Pros: Is really easy to follow. Effective and efficient. Short and to the point. Cons: Has a handful of mistakes which has caused me much confusion. - 1 Star. Is an ugly book, with ugly brown pages, that looks like it is for kids. -1 Star.