Algebra II All-in-One For Dummies (eBook)

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