Table of Contents
Acknowledgments ix
Chapter 1 FAQs about the SAT 1
What does the SAT test? 2
What is the format of the SAT? 2
How is the SAT scored? 2
How do the Landscape™ scores affect me? 3
What will colleges do with my SAT scores? 3
What control do I have over my SAT scores? 3
How should I prepare for the SAT? 4
How can I get the most out of my SAT study sessions? 5
What should I do the week before my SAT? 6
Chapter 2 Diagnostic SAT 7
Reading Test 12
Writing and Language Test 32
Math Test - No Calculator 46
Math Test - Calculator 54
Chapter 3 SAT Vocabulary: The Language of Ideas 87
The Language of ideas and Learning 90
The Language of Argument, Reasoning, and Persuasion 92
The Language of Dissent, Criticism, and Rebellion 102
The Language of Power and Submission 106
The Language of Language and Literature 113
The Language of Judgment 116
The Language of Extremism and Exaggeration 119
The Language of Care and Restraint 120
The Language of Freedom 123
The Language of Change and Force 124
The Language of Dullness and Stasis 126
The Language of Truth, Truthfulness, and Beauty 127
The Language of Deceit, Error, and Confusion 128
The Language of Creativity and Productivity 131
The Language of Mystery, Surprise, Adventure, and Discovery 133
The Language of Harm, Deficit, and Decline 135
The Language of Kindness, Favor, and Benefit 137
The Language of Wisdom, Strength, and Skill 141
The Language of Capital and Wealth 143
The Language of Passion, Emotion, and Sensation 145
The Power Roots and Affixes for the SAT 148
Chapter 4 The SAT Reading Test 155
The Core Analytical Reading Skills 157
The Three Key Questions 159
The Three Secondary Questions 168
Advanced SAT Reading Techniques 178
Chapter 5 The SAT Writing and Language Test 193
Writing and Language Question Types 195
Parsing Sentences 197
Trimming Sentences 198
Verb Agreement 200
Developing and Coordinating Ideas 202
Transitions and References 205
Parallelism 208
Coordinating Modifiers 211
Using Modifiers Logically 214
Making Comparisons 217
Pronoun Agreement 219
Pronoun Case 221
Verb Tense and Aspect 223
Diction and Redundancy 227
Idiomatic Expression 231
The Active and Passive Voices 233
Verb Mood 234
Punctuation 237
Chapter 6 The SAT Math Test: The Heart of Algebra 249
World Problems 251
The Order of Operations and Laws of Arithmetic 252
Simplifying Expressions 259
Conversions 261
Constructing and Interpreting Linear Equations 266
Solving Equations with the Laws of Equality 268
Analyzing Linear Graphs 269
Understanding Inequalities and Absolute Values 277
Solving Inequalities with the Laws of Inequality 278
Graphing Inequalities 279
Constructing, Graphing, and Interpreting Linear Systems 284
Solving Systems by Substitution 286
Solving Systems by Linear Combination 287
Chapter 7 The SAT Math Test: Problem Solving and Data Analysis 293
Averages 295
Medians and Modes 296
Data Spread 297
Direct and Inverse Variations 298
Rate Problems 305
Ratios 307
Percentages 313
Percent Change 314
Proportions and Scaling 315
Tables and Venn Diagrams 320
Conditional Probabilities from Tables 321
Analyzing Relations with Tables 322
Scatterplots 327
Nonlinear Relationships 328
Drawing Inferences from Graphs 329
Pie Graphs 330
Chapter 8 The SAT Math: Passport to Advanced Math 335
Functions 337
Representing Functions 339
Compositions and Transformations 340
Analyzing and Factoring Quadratics 347
Solving Quadratic Equations 349
Analyzing Graphs of Quadratic Equations 351
Higher Order Equations 357
Higher Order Systems 358
The Laws of Exponentials 363
The Laws of Radicals 365
Solving Exponential and Radical Equations 366
Rational Expressions 371
Simplifying Rational Expressions 373
Solving Rational Equations 374
Chapter 9 The SAT Math Test: Additional Topics 381
Angles and Parallel Lines 383
Triangles 385
Working in the xy-Plane 387
The Pythagorean Theorem 389
Circles 395
Radians, Chords, Arcs, and Sectors 397
Areas and Volumes 400
Similarity 402
Basic Trigonometry 409
The Pythagorean Identity 411
The Cofunction Identities 412
Imaginary and Complex Numbers 415
Chapter 10 Practice Test 1 421
Practice Test 2 495
Practice Test 3 567
Practice Test 4 637