Preface 2 저자 소개 3 이 책의 구성과 특징 4 Topic 1 Mathematical Expressions 1.1 Mathematical Expressions................................................. 10 1.2 Arithmetic with Expressions.............................................. 11 1.3 Manipulation of Expressions............................................. 13 Topic 2 More Variables 2.1 One-Variable Equation....................................................... 22 2.2 Multivariable Expressions................................................. 24 2.3 Multivariable Arithmetic ................................................... 25 2.4 Expansion and Simplification............................................ 27 2.5 Multivariable Fractions...................................................... 29 2.6 Multivariable Equations..................................................... 30 Topic 3 Two-Variable Equations 3.1 Two-Variable Equations..................................................... 38 3.2 Substitution........................................................................ 39 3.3 Elimination ....................................................................... 41 3.4 Word Problems ................................................................. 43 Topic 4 Proportion 4.1 Direct Proportion............................................................... 50 4.2 Inverse Proportion............................................................. 51 4.3 Joint Proportion................................................................. 52 4.4 Rate in Algebra 1............................................................... 53 Topic 5 Linear Graphs 5.1 The Real Number Line and the Cartesian Plane................ 62 5.2 Graphing Linear Equations................................................ 65 5.3 Slope Problems.................................................................. 68 5.4 Finding Line Equations...................................................... 70 5.5 Slope and Intercepts........................................................... 73 5.6 Parallel and Perpendicular lines......................................... 75 Topic 6 Basic Inequalities 6.1 Introduction ...................................................................... 84 6.2 Comparison ....................................................................... 86 6.3 Linear Inequalities............................................................. 88 6.4 Graphing Linear Inequalities............................................. 91 6.5 Linear Optimization........................................................... 93 Topic 7 Introduction to Quadratics 7.1 Quadratic Equations........................................................... 100 7.2 Factorization for a = 1....................................................... 102 7.3 Factorization for a ≠ 1....................................................... 104 Topic 8 More Factorization 8.1 Square of Binomials........................................................... 116 8.2 Difference of Squares........................................................ 120 8.3 Four-Term Quadratics........................................................ 122 Topic 9 Complex Number 9.1 x2 = -1................................................................................ 130 9.2 Complex Numbers............................................................. 132 Topic 10 Completing the Squares 10.1 The Perfect Squares........................................................... 140 10.2 Completing the Squares..................................................... 143 10.3 Quadratic Formula............................................................. 145 Topic 11 Graphing Quadratics and Inequalities 11.1 Parabola ............................................................................ 156 11.2 Circle ................................................................................ 161 11.3 Quadratic Inequalities ....................................................... 165 11.4 Trivial Inequalities............................................................. 169 11.5 Quadratic Optimization...................................................... 170 Topic 12 Functions 12.1 Function ............................................................................ 180 12.2 Function Arithmetic........................................................... 185 12.3 Composition of Two Functions.......................................... 188 Topic 13 Graphs and Transformation 13.1 Graphing Functions............................................................ 200 13.2 Transformation .................................................................. 206 13.3 Graphs of Inverse Functions.............................................. 211 Topic 14 Polynomial Arithmetic 14.1 Polynomials....................................................................... 224 14.2 Polynomial Division.......................................................... 227 14.3 Rational Equations............................................................. 231 Topic 15 Statistics 15.1 Measures of Central Tendency........................................... 238 15.2 Measures of Spread............................................................ 239 15.3 Line of Best Fit.................................................................. 241 Solution Manual 247