ALGEBRA
CONTENTS INTRODUCTION STUDY SKILLS CHAPTER FUNDAMENTAL CONCEPTS 11 DEFINITIONS 12 AXIOMS OF EQUALITY AND ORDER 13 PROPERTIES OF REAL NUMBERS 14 OPERATIONS WITH REAL NUMBERS 15 ORDER OF OPERATIONS 16 EVALUATION BY CALCULATOR 17 TRANSLATING PHRASES AND STATEMENTS INTO ALGEBRAIC FORM SOLVED PROBLEMS SUPPLEMENTARY PROBLEMS POLYNOMIALS 21 DEFINITIONS 22 SUMS AND DIFFERENCES 23 PRODUCTS 24 FACTORING 25 DIVISION RATIONAL EXPRESSIONS 31 BASIC PROPERTIES 32 PRODUCTS AND QUOTIENTS 33 SUMS AND DIFFERENCES 34 MIXED OPERATIONS AND COMPLEX FRACTIONS FIRST-DEGREE EQUATIONS AND INEQUALITIES 41 SOLVING FIRST-DEGREE EQUATIONS 42 GRAPHS OF FIRST-DEGREE EQUATIONS 43 FORMULAS AND LITERAL EQUATIONS 44 APPLICATIONS CONTENTS 45 SOLVING FIRST-DEGREE INEQUALITIES 46 GRAPHS OF FIRST-DEGREE INEQUALITIES 47 APPLICATIONS INVOLVING INEQUALITIES 48 ABSOLUTE-VALUE EQUATIONS AND INEQUALITIES EXPONENTS, ROOTS, AND RADICALS 51 ZERO AND NEGATIVE-INTEGER EXPONENTS 52 SCIENTIFIC NOTATION 53 RATIONAL EXPONENTS AND ROOTS 54 SIMPLIFYING RADICALS 55 OPERATIONS ON RADICAL EXPRESSIONS 56 COMPLEX NUMBERS SECOND-DEGREE EQUATIONS AND INEQUALITIES 61 SOLVING BY FACTORING AND SQUARE ROOT METHODS 62 COMPLETING THE SQUARE AND THE QUADRATIC FORMULA 63 EQUATIONS INVOLVING RADICALS 64 QUADRATIC FORM EQUATIONS 65 APPLICATIONS 66 GRAPHS OF SECOND-DEGREE EQUATIONS 67 QUADRATIC AND RATIONAL INEQUALITIES SYSTEMS OF EQUATIONS AND INEQUALITIES 71 LINEAR SYSTEMS IN TWO VARIABLES 72 LINEAR SYSTEMS IN THREE VARIABLES 73 DETERMINANTS AND CRAMER’S RULE 74 MATRIX METHODS 75 NONLINEAR SYSTEMS 76 SYSTEMS OF INEQUALITIES RELATIONS AND FUNCTIONS 81 BASIC CONCEPTS 82 FUNCTION NOTATION AND THE ALGEBRA OF FUNCTIONS 83 DISTANCE AND SLOPE FORMULAS 84 LINEAR EQUATION FORMS 85 TYPES OF FUNCTIONS 86 VARIATION 87 INVERSE RELATIONS AND FUNCTIONS CONTENTS CHAPTER EXPONENTIAL AND LOGARITHMIC FUNCTIONS 91 EXPONENTIAL FUNCTIONS 92 LOGARITHMIC FUNCTIONS 93 PROPERTIES OF LOGARITHMS 94 EXPONENTIAL AND LOGARITHMIC EQUATIONS 95 APPLICATIONS SEQUENCES, SERIES, AND THE BINOMIAL THEOREM 101 SEQUENCES 102 SERIES 103 THE BINOMIAL THEOREM CHAPTER QUIZZES CHAPTER QUIZZES ANSWERS FINAL EXAM FINAL EXAM ANSWERS