Algebra II For Dummies - Sterling, Mary Jane

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Résumé :

Introduction 1

About This Book 1

Foolish Assumptions 2

Icons Used in This Book 3

Beyond the Book 4

Where to Go from Here 4

Part 1: Homing In On Basic Solutions 5

Chapter 1: Going Beyond Beginning Algebra 7

Outlining Algebraic Properties 8

Keeping order with the commutative property 8

Maintaining group harmony with the associative property 9

Distributing a wealth of values 9

Checking out an algebraic ID 10

Singing along in-verses 11

Ordering Your Operations 11

Zeroing in on the Multiplication Property of Zero 12

Expounding on Exponential Rules 13

Multiplying and dividing exponents 13

Getting to the roots of exponents 14

Raising or lowering the roof with exponents 14

Making nice with negative exponents 15

Implementing Factoring Techniques 15

Factoring two terms 16

Taking on three terms 17

Factoring four or more terms by grouping 19

Chapter 2: Toeing the Straight Line: Linear Equations 21

Linear Equations: Handling the First Degree 21

Tackling basic linear equations 22

Clearing out fractions 23

Isolating different unknowns 24

Linear Inequalities: Algebraic Relationship Therapy 25

Solving linear inequalities 26

Introducing interval notation 27

Compounding inequality issues 28

Absolute Value: Keeping Everything in Line 30

Solving absolute value equations 31

Seeing through absolute value inequality 31

Chapter 3: Conquering Quadratic Equations 35

Implementing the Square Root Rule 36

Dismantling Quadratic Equations into Factors 37

Factoring binomials 37

Factoring trinomials 39

Factoring by grouping 40

Resorting to the Quadratic Formula 41

Finding rational solutions 42

Straightening out irrational solutions 42

Formulating huge quadratic results 43

Completing the Square: Warming Up for Conics 43

Squaring up a quadratic equation 44

Completing the square twice over 45

Tackling Higher-Powered Polynomials 46

Handling the sum or difference of cubes 47

Tackling quadratic-like trinomials 48

Solving Quadratic Inequalities 49

Keeping inequality strictly quadratic 50

Signing up for fractions 52

Increasing the number of factors 53

Considering absolute value inequalities 53

Chapter 4: Rooting Out the Rational, Radical, and Negative 55

Acting Rationally with Fraction-Filled Equations 56

Systematically solving rational equations 56

Solving rational equations with proportions 60

Ridding Yourself of a Radical 61

Squaring both sides of a radical equation 62

Calming two radicals 63

Changing Negative Attitudes about Exponents 65

Flipping negative exponents out of the picture 65

Factoring out negatives to solve equations 66

Fooling Around with Fractional Exponents 68

Combining terms with fractional exponents 69

Factoring fractional exponents 69

Solving equations by working with fractional exponents 70

Chapter 5: Graphing Your Way to the Good Life 73

Coordinating Your Graphing Efforts 74

Identifying the parts of the coordinate plane 74

Plotting from dot to dot 75

Streamlining the Graphing Process with Intercepts and Symmetry 76

Finding x- and y-intercepts 77

Reflecting on a graph's symmetry 78

Graphing Lines 80

Finding the slope of a line 81

Facing two types of equations for lines 82

Identifying par...

Biographie:

Mary Jane Sterling was a lecturer in mathematics for more than 35 years, teaching courses in algebra, calculus, and linear programming. She is the author ofAlgebra I For Dummies, Trigonometry For Dummies, Algebra Workbook For Dummies, and Trigonometry Workbook For Dummies....

Sommaire:

Algebra II For Dummies, 2nd Edition (9781119543145) was previously published as Algebra II For Dummies, 2nd Edition (9781119090625). 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.

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