John J. Diehl：资深SAT教学与考试专家，拥有多年SAT经济学教学经验，并担任AP统计学考试考官，熟知SAT考试特点。
Christine E. Joyce： 资深SAT教学与考试专家，拥有多年SAT经济学教学经验，并担任AP统计学考试考官，熟知SAT考试特点。
目錄：
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
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