Algebra II Workbook for Dummies - Mary Jane Sterling

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Auteur(s) : Mary Jane Sterling

Editeur : Wiley

Langue : Anglais

Parution : 01/01/2019

Format : Moyen, de 350g à 1kg

Nombre de pages : 352

Expédition : 768

Dimensions : 25.1 x 20.3 x 1.8

ISBN : 1119543118

Résumé :

Boost your chances of scoring higher at Algebra II

Algebra II introduces students to complex algebra concepts in preparation for trigonometry and calculus. In this new edition of Algebra II Workbook For Dummies, high school and college students will work through the types of Algebra II problems they'll see in class, including systems of equations, matrices, graphs, and conic sections. Plus, the book now comes with free 1-year access to chapter quizzes online!?

A recent report by ACT shows that over a quarter of ACT-tested 2012 high school graduates did not meet any of the four college readiness benchmarks in mathematics, English, reading, and science. Algebra II Workbook For Dummies presents tricky topics in plain English and short lessons, with examples and practice at every step to help students master the essentials, setting them up for success with each new lesson.

• Tracks to a typical Algebra II class
• Can be used as a supplement to classroom learning or for test prep
• Includes plenty of practice and examples throughout
• Comes with free access to chapter quizzes online

Get ready to take the intimidation out of Algebra II!

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Biographie:

Introduction

About This Book 1

Foolish Assumptions 2

Icons Used in This Book 2

Beyond the Book 3

Where to Go from Here 3

Part 1: Getting Started With Algebra II 5

Chapter 1: Going Beyond Beginning Algebra 7

Good Citizenship: Following the Order of Operations and Other Properties 7

Specializing in Products and FOIL 10

Variables on the Side: Solving Linear Equations 11

Dealing with Linear Absolute Value Equations 12

Greater Math Skills: Equalizing Linear Inequalities 14

Answers to Problems on Going Beyond Beginning Algebra 16

Chapter 2: Handling Quadratic (and Quadratic-Like) Equations and Inequalities 21

Finding Reasonable Solutions with Radicals 22

UnFOILed Again! Successfully Factoring for Solutions 23

Your Bag of Tricks: Factoring Multiple Ways 25

Keeping Your Act Together: Factoring by Grouping 26

Resorting to the Quadratic Formula 27

Solving Quadratics by Completing the Square 29

Working with Quadratic-Like Equations 30

Checking Out Quadratic Inequalities 32

Answers to Problems on Quadratic (and Quadratic-Like) Equations and Inequalities 34

Chapter 3: Rooting Out the Rational, the Radical, and the Negative 43

Doing Away with Denominators with an LCD 44

Simplifying and Solving Proportions 46

Wrangling with Radicals 48

Changing Negative Attitudes toward Negative Exponents 49

Divided Powers: Solving Equations with Fractional Exponents 51

Answers to Problems on Rooting Out the Rational, the Radical, and the Negative 53

Chapter 4: Graphing for the Good Life 61

Coordinating Axes, Coordinates of Points, and Quadrants 62

Crossing the Line: Using Intercepts and Symmetry to Graph 64

Graphing Lines Using Slope-Intercept and Standard Forms 67

Graphing Basic Polynomial Curves 69

Grappling with Radical and Absolute Value Functions 71

Enter the Machines: Using a Graphing Calculator 73

Answers to Problems on Graphing for the Good Life 77

Part 2: Functions 89

Chapter 5: Formulating Functions 91

Evaluating Functions 91

Determining the Domain and Range of a Function 93

Recognizing Even, Odd, and One-to-One Functions 94

Composing Functions and Simplifying the Difference Quotient 96

Solving for Inverse Functions 99

Answers to Problems on Formulating Functions 101

Chapter 6: Specializing in Quadratic Functions 107

Finding Intercepts and the Vertex of a Parabola 108

Applying Quadratics to Real-Life Situations 109

Graphing Parabolas 111

Answers to Problems on Quadratic Functions 113

Chapter 7: Plugging in Polynomials 119

Finding Basic Polynomial Intercepts 120

Digging up More-Difficult Polynomial Roots with Factoring 122

Determining Where a Function Is Positive or Negative 123

Graphing Polynomials 125

Possible Roots and Where to Find Them: The Rational Root Theorem and Descartes's Rule 127

Getting Real Results with Synthetic Division and the Remainder Theorem 130

Connecting the Factor Theorem with a Polynomial's Roots 132

Answers to Problems on Plugging in Polynomials 134

Chapter 8: Acting Rationally with Functions 143

Determining Domain and Intercepts of Rational Functions 144

Introducing Vertical and Horizontal Asymptotes 145

Getting a New Slant with Oblique Asymptotes 147

Removing Discontinuities 148

Going the Limit: Limits at a Number and Infinit...

Sommaire:

Mary Jane Sterling taught junior high and high school math before embarking on her career as an instructor at Bradley University, where she taught for more than 35 years....