SAT Ⅱ 数学 Level 1PDF电子书下载

PART Ⅰ．ABOUT THE SAT Ⅱ MATH LEVEL 1 TEST 1

Chapter 1 Test Basics 1

About the Math Level 1 Test 3

The Level 1 vs.Level 2 Test 4

How to Use This Book 6

Chapter 2 Calculator Tips 7

On the Day of the Test 8

Chapter 3 Diagnostic Test 9

PART Ⅱ．MATH REVIEW 37

Chapter 4 Algebra 39

Evaluating Expressions 41

Order of Operations 41

Fractions 41

Simplifying Fractions 41

Least Common Denominator 42

Multiplying Fractions 44

Using Mixed Numbers and Improper Fractions 44

Variables in the Denominator 45

Percents 46

Converting Percents to Decimals 46

Converting Fractions to Percents 47

Percent Problems 47

Exponents 48

Properties of Exponents 48

Common Mistakes with Exponents 49

Rational Exponents 50

Negative Exponents 51

Variables in an Exponent 51

Real Numbers 52

Vocabulary 52

Properties of Real Numbers 53

Absolute Value 56

Radical Expressions 57

Roots of Real Numbers 57

Simplest Radical Form 58

Rationalizing the Denominator 58

Conjugates 60

Polynomials 60

Vocabulary 60

Adding and Subtracting Polynomials 61

Multiplying Polynomials 61

Factoring 62

Quadratic Equations 64

Quadratic Formula 65

Solving by Substitution 66

The Discriminant 67

Equations with Radicals 67

Inequalities 68

Transitive Property of Inequality 69

Addition and Multiplication Properties 69

"And"vs."Or" 69

Inequalities with Absolute Value 70

Rational Expressions 71

Simplifying Rational Expressions 71

Multiplying and Dividing Rational Expressions 71

Adding and Subtracting Rational Expressions 72

Solving Equations with Rational Expressions 73

Systems 74

Solving by Substitution 74

Solving by Linear Combination 75

No Solution vs.Infinite Solutions 76

Word Problems with Systems 78

Chapter 5 Plane Geometry 80

Undefined Terms 81

Lines,Segments,Rays 83

Angles 85

Measures of Angles 85

Supplementary and Complementary Angles 86

Vertical Angles 87

Linear Pairs of Angles 88

Triangles 89

Types of Triangles 89

Sum of Interior Angles and Exterior Angles 90

Medians,Altitudes,and Angle Bisectors 92

Congruent Triangles 93

Isosceles Triangles 95

Triangle Inequality 96

Pythagorean Theorem 97

Special Right Triangles 98

Parallel Lines 100

Polygons 101

Types of Polygons 102

Perimeter 103

Sum of the Interior Angles 103

Sum of the Exterior Angles 104

Special Quadrilaterals 105

Similarity 106

Ratio and Proportion 106

Similar Triangles 107

Circles 109

Chords 109

Tangents 110

Arcs and Angles 111

Circumference 113

Arc Length 114

Area 116

Area Formulas 116

Area vs.Perimeter 118

Area Ratio of Similar Figures 119

Figures That Combine Numerous Shapes 119

Chapter 6 Solid Geometry 122

Vocabulary for Polyhedra 123

Prisms 124

Distance Between Opposite Vertices of a Rectangular Prism 126

Cylinders 127

Pyramids 129

Cones 130

Spheres 133

Volume Ratio of Similar Figures 134

Chapter 7 Coordinate Geometry 135

Plotting Points 136

Midpoint 138

Distance 138

Slope 140

Slope of Parallel and Perpendicular Lines 141

Equations of Lines 141

Horizontal and Vertical Lines 142

Standard Form 142

Point-Slope Form 143

Slope-Intercept Form 143

Determining x-and y-Intercepts 145

Circles 145

Parabolas 147

Graphing Inequalities 150

Graphing Absolute Value 151

Chapter 8 Trigonometry 153

Right Triangle Trigonometry 153

Relationships Among Trigonometric Ratios 156

Secant,Cosecant,Cotangent 156

Cofunction Identities 158

Inverse Functions 159

Special Right Triangles 160

Trigonometric Identities 161

Chapter 9 Functions 163

Functional Notation 164

Functions vs.Relations 167

Graphing Functions 169

Composition of Functions 169

Identity,Zero,and Constant Functions 170

Determining the Maximum or Minimum 170

The Roots of a Quadratic Function 172

Inverse Functions 173

Rational Functions 175

Higher-Degree Polynomial Functions 176

Exponential Functions 178

Chapter 10 Data Analysis,Statistics,and Probability 180

Counting Problems 181

Probability 183

Mean,Median,Mode 184

Data Interpretation 186

Chapter 11 Number and Operations 188

Invented Operations 189

"In Terms Of"Problems 190

Sequences 190

Arithmetic Sequences 191

Geometric Sequences 192

Logic 194

Number Theory 196

PART Ⅲ．SIX PRACTICE TESTS 199

Practice Test 1 201

Diagnose Your Strengths and Weaknesses 222

Practice Test 2 225

Diagnose Your Strengths and Weaknesses 246

Practice Test 3 249

Diagnose Your Strengths and Weaknesses 270

Practice Test 4 273

Diagnose Your Strengths and Weaknesses 295

Practice Test 5 297

Diagnose Your Strengths and Weaknesses 319

Practice Test 6 321

Diagnose Your Strengths and Weaknesses 345