本書由新東方從美國麥格勞-希爾出版公司引進(jìn)，是備考SAT Ⅱ數(shù)學(xué)Level 1的輔導(dǎo)教材。本書不僅全面涵蓋了SAT Ⅱ數(shù)學(xué)Level 1的考點(diǎn)，而且提供7套全真模擬試題供考生自測。此外，書中含有對所有題目的詳細(xì)解析，便于考生認(rèn)識自身的優(yōu)勢與不足，科學(xué)備考。

　　John J. Diehl，資深SAT教學(xué)與考試專家，擁有多年SAT經(jīng)濟(jì)學(xué)教學(xué)經(jīng)驗(yàn)，并擔(dān)任AP統(tǒng)計(jì)學(xué)考試考官，熟知SAT考試特點(diǎn)。

　　Christine E. Joyce，資深SAT教學(xué)與考試專家，擁有多年SAT經(jīng)濟(jì)學(xué)教學(xué)經(jīng)驗(yàn)，并擔(dān)任AP統(tǒng)計(jì)學(xué)考試考官，熟知SAT考試特點(diǎn)。

PART I. ABOUT THE SAT MATH LEVEL 1 TEST 1

Chapter 1 Test Basics / 3

About the Math Level 1 Test / 3

The Level 1 vs. Level 2 Test / 4

Chapter 2 Calculator Tips / 7

On the Day of the Test / 8

Chapter 3 Diagnostic Test / 9

Answer Key / 25

Answers and Solutions / 25

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

Answer Key / 216

Answers and Solutions / 216

Diagnose Your Strengths and Weaknesses / 222

Practice Test 2 / 225

Answer Key / 240

Answers and Solutions / 240

Diagnose Your Strengths and Weaknesses / 246

Practice Test 3 / 249

Answer Key / 264

Answers and Solutions / 264

Diagnose Your Strengths and Weaknesses / 270

Practice Test 4 / 273

Answer Key / 288

Answers and Solutions / 288

Diagnose Your Strengths and Weaknesses / 295

Practice Test 5 / 297

Answer Key / 312

Answers and Solutions / 312

Diagnose Your Strengths and Weaknesses / 319

Practice Test 6 / 321

Answer Key / 338

Answers and Solutions / 338

Diagnose Your Strengths and Weaknesses / 345