SAT考(Scholastic Assessment Test)是由美国大学委员会(College Board)组织的“学术水平测验考试”，是美国高中生进入美国大学的标准入学考试。SAT考试成绩是美国大学唯一能够得到的、可以比较来自不同地区和学校学生的成绩，所以对录取与否及奖学金多少的影响非常大。美国3600余所大学都接受SAT考试成绩。

本书全面覆盖SAT II数学Level 1考点；精心设计诊断测试，发现知识漏洞；专家点拨解题思路，直击正确答案；7套全真模拟试题，提高应试技能。

PART I. ABOUT THE SAT II MATH LEVEL I TEST

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

  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 / 4

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

o 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 / 8 l

  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 / I 16

  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 Opposiste 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

 o Identity, Zero, and Constant Functiofis / 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

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