The Essential Guide to ALGEBRA 1

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