Algebra II All-In-One For Dummies

Every intermediate algebra lesson, example, and practice problem you need in a single, easy-to-use reference

Algebra II can be a tough nut to crack when you first meet it. But with the right tools…well, she's still tough but she gets a heckuva lot easier to manage. In Algebra II All-in-One For Dummies you'll find your very own step-by-step roadmap to solving even the most challenging Algebra II problems, from conics and systems of equations to exponential and logarithmic functions.

In the book, you'll discover the ins and outs of function transformation and evaluation, work out your brain with complex and imaginary numbers, and apply formulas from statistics and probability theory. You'll also find:

• Accessible and practical lessons and practice for second year high-school or university algebra students
• End-of-chapter quizzes that help you learn – and remember! – key algebraic concepts, such as quadratic equations, graphing techniques, and matrices
• One-year access to additional chapter quizzes online, where you can track your progress and get real-time feedback!

Your own personal mathematical toolbox for some of the most useful and foundational math you'll learn in school, this Algebra II All-in-One For Dummies combines hands-on techniques, methods, and strategies from a variety of sources into one, can't-miss reference. You'll get the insights, formulas, and practice you need, all in a single book (with additional quizzes online!) that's ideal for students and lifelong learners alike!

Mary Jane Sterling taught mathematics for more than 45 years. She was a professor of mathematics at Bradley University for 35 of those years and continues to teach occasional classes either in person or via distance learning. Sterling is the author of several Dummies algebra and higher-level math titles. She is a graduate of the University of New Hampshire with a master's degree in math education.

Introduction 1

Part 1: Getting to First Base with the Basics 5

Chapter 1: Beginning at the Beginning of Algebra 7

Chapter 2: Taking on Linear Equations and Inequalities 35

Chapter 3: Handling Quadratic and Other Polynomial Equations 59

Chapter 4: Controlling Quadratic and Rational Inequalities 89

Chapter 5: Soothing the Rational, the Radical, and the Negative 109

Chapter 6: Giving Graphing a Gander 139

Part 2: Figuring on Functions 171

Chapter 7: Formulating Functions 173

Chapter 8: Specializing in Quadratic Functions 201

Chapter 9: Plugging In Polynomials 229

Chapter 10: Acting Rationally with Functions 271

Chapter 11: Exploring Exponential and Logarithmic Functions 303

Chapter 12: Transforming and Critiquing Functions 343

Part 3: Using Conics and Systems of Equations 365

Chapter 13: Slicing the Way You Like It: Conic Sections 367

Chapter 14: Solving Systems of Linear Equations 405

Chapter 15: Solving Systems of Nonlinear Equations 435

Chapter 16: Solving Systems of Inequalities 455

Part 4: Making Lists and Checking for Imaginary Numbers 473

Chapter 17: Getting More Complex with Imaginary Numbers 475

Chapter 18: Making Moves with Matrices 493

Chapter 19: Seeking Out Sequences and Series 521

Chapter 20: Everything You Wanted to Know about Sets and Counting 545

Part 5: Applying Known Formulas 575

Chapter 21: Manipulating Formulas 577

Chapter 22: Taking on Applications 597

Index 613

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