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Algebra II Essentials For Dummies (9781119590873) was previously published as Algebra II Essentials For Dummies (9780470618400). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts. The Essentials For Dummies Series Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Autorentext
Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois, for more than 30 years. She is the author of Algebra II For Dummies and Algebra II Workbook For Dummies.
Klappentext
Core topics in quick, focused lessons Your ticket to scoring high in Algebra II Algebra II Essentials For Dummies sticks to the point, with concise explanations of critical concepts taught in a typical Algebra II course. Get the lowdown on algebraic properties, exponential rules, and factoring techniques. Discover how to use exponential and logarithmic functions to solve algebraic problems. Learn how to work with rational and radical equations. It's all here in this easy-to-read guide that's perfect for cramming, homework help, or as a reference for parents helping students prepare for exams. Inside...
Zusammenfassung
Algebra II Essentials For Dummies (9781119590873) was previously published as Algebra II Essentials For Dummies (9780470618400). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.
The Essentials For Dummies Series
Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Inhalt
Introduction 1
About This Book 1
Conventions Used in This Book 2
Foolish Assumptions 2
Icons Used in This Book 2
Where to Go from Here 3
Chapter 1: Making Advances in Algebra 5
Bringing Out the Best in Algebraic Properties 5
Making short work of the basic properties 6
Organizing your operations 7
Enumerating Exponential Rules 8
Multiplying and dividing exponents 8
Rooting out exponents 9
Powering up exponents 10
Working with negative exponents 10
Assigning Factoring Techniques 10
Making two terms factor 11
Factoring three terms 12
Factoring four or more terms by grouping 13
Chapter 2: Lining Up Linear Equations 15
Getting the First Degree: Linear Equations 15
Solving basic linear equations 16
Eliminating fractions 16
Lining Up Linear Inequalities 17
Solving basic inequalities 18
Introducing interval notation 19
Absolute Value: Keeping Everything in Line 20
Solving absolute value equations 20
Seeing through absolute value inequality 21
Chapter 3: Making Quick Work of Quadratic Equations 23
Using the Square Root Rule When Possible 24
Solving Quadratic Equations by Factoring 24
Factoring quadratic binomials 25
Factoring quadratic trinomials 26
The Quadratic Formula to the Rescue 27
Realizing rational solutions 27
Investigating irrational solutions 27
Promoting Quadratic-like Equations 28
Solving Quadratic Inequalities 29
Keeping it strictly quadratic 30
Signing up for fractions 31
Increasing the number of factors 33
Chapter 4: Rolling Along with Rational and Radical Equations 35
Rounding Up Rational Equations and Eliminating Fractions 35
Making your least common denominator work for you 36
Proposing proportions for solving rational equations 38
Reasoning with Radicals 39
Squaring both sides of the equation 39
Taking on two radicals 40
Dealing with Negative Exponents 42
Factoring out a negative exponent as a greatest common factor 42
Solving quadratic-like trinomials 43
Fiddling with Fractional Exponents 44
Solving equations by factoring fractional exponents 44
Promoting techniques for working with fractional exponents 44
Chapter 5: Forging Function Facts 47
Describing Function Characteristics 47
Denoting function notation 48
Using function notation to evaluate functions 48
Determining Domain and Range 49
Delving into domain 49
Wrangling with range 50
Counting on Even and Odd Functions 51
Determining whether even or odd 52
Using even and odd functions in graphs 53
Taking on Functions One-to-One 53
Defining which functions are one-to-one 54
Testing for one-to-one functions 54
Composing Functions 55
Composing yourself with functions 55
Composing with the difference quotient 56
Getting into Inverse Functions 57
Finding which functions are inverses 58
Finding an inverse of a function 59
Chapter 6: Graphing Linear and Quadratic Functions 61
Identifying Some Graphing Techniques 61
Finding x- and y-intercepts 62
Reflecting on a graph's symmetry 62
Mastering the Graphs of Lines 64
Determining the slope of a line 64
Describing two line equations 65
Identifying parallel and perpendicular lines 67
Coming to Terms with the Standard Form of a Quadratic 67
Starting with a in the standard form 68 Followin...