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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!
Autorentext
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.
Klappentext
Review key math concepts Conquer challenging algebra with practice problems and online quizzes! The best way to learn complex algebra concepts is to work the problems and let the numbers fly. So get into this hands-on study guide, packed with hundreds of problems to solve and explanations to learn from! Need extra help with conic sections, polynomial functions, or matrices? There's a chapter for each. All the problem types you'll see in Algebra II class are in here. The book now comes with free access to chapter quizzes online, too! Inside...
Zusammenfassung
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.
Inhalt
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 Infinity 149
Graphing Rational Functions 151
Answers to Problems on Rational Functions 156 <b&...