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How to Use This Book vii

Part 1 The PSAT and You 1
Chapter 1 Inside the PSAT 3
PSAT Structure 3

Part 2 PSAT Math 9
Chapter 2 Prerequisite Skills and Calculator Use 11
Math Fundamentals 11
Calculator Use 20
Chapter 3 The Method for PSAT Math Questions 23
How to Do PSAT Math 23
A Note about Grid-ins 29
Reflect 30

Part 2A The Heart of Algebra 35
Chapter 4 Linear Equations and Graphs 37
How Much Do You Know? 38
Solving Equations 41
Word Problems 44
Linear Graphs 48
On Test Day 52
How Much Have You Learned? 53
Reflect 56
Chapter 5 Systems of Linear Equations 65
How Much Do You Know? 66
Substitution 70
Combination 72
Number of Possible Solutions 75
On Test Day 78
How Much Have You Learned? 79
Reflect 81

Part 2B Data Analysis 91
Chapter 6 Ratios, Proportions, and Percents 93
How Much Do You Know? 94
Ratios and Proportions 97
Unit Conversion 101
Percents 103
Percent Change 107
On Test Day 111
How Much Have You Learned? 112
Reflect 114
Chapter 7 Tables, Statistics, and Probability 123
How Much Do You Know? 124
Tables and Graphs 129
Statistics 135
Surveys and Data Samples 139
Probability 143
On Test Day 147
How Much Have You Learned? 148
Reflect 152

Part 2C Passport to Advanced Math 161
Chapter 8 Functions 163
How Much Do You Know? 164
Function Notation 167
Graphs of Functions 170
Describing Real-Life Situations with Functions 174
On Test Day 178
How Much Have You Learned? 179
Reflect 182
Chapter 9 Quadratics 189
How Much Do You Know? 190
Solving Quadratics by Factoring 194
Classic Quadratics 197
Completing the Square 199
The Quadratic Formula 202
Graphs of Quadratics 205
Systems of Quadratic and Linear Equations 210
On Test Day 213
How Much Have You Learned? 214
Reflect 216

Part 3 PSAT Reading 229
Chapter 10 The Method for PSAT Reading Questions 231
How to Do PSAT Reading 231
How Much Have You Learned? 249
Reflect 252
Chapter 11 PSAT Reading Passage Strategies 259
How Much Do You Know? 260
PSAT Reading Strategies-Keywords, Margin Notes, and the Big Picture Summary 265
How Much Have You Learned? 276
Reflect 278
Chapter 12 PSAT Reading Question Types 287
How Much Do You Know? 288
How to Unpack PSAT Reading Question Stems 291
How Much Have You Learned? 297
Reflect 298
Chapter 13 Answering PSAT Reading Questions 303
How Much Do You Know? 304
How to Answer PSAT Reading Questions 311
How Much Have You Learned? 326
Reflect 329

Part 4 PSAT Writing and Language 337
Chapter 14 The Method for PSAT Writing and Language Questions 339
How to Do PSAT Writing and Language 339
Chapter 15 Spotting and Fixing Errors: Sentence Structures Punctuation, and Agreement 345
How Much Do You Know? 346
Sentence Structure: The Basics 350
Sentence Structure: Commas, Dashes, and Colons 355
Agreement: Verbs 361
Agreement: Pronouns 367
Agreement: Modifiers 372
Agreement: Idioms 378
How Much Have You Learned? 384
Reflect 386

Part 5 Countdown to Test Day 397
Chapter 16 Countdown to Test Day 399
Part 6 Practice Tests 401
PSAT Practice Test 1 403
Answer Key 449
Answers and Explanations 451
PSAT Practice Test 2 477
Answer Key 519
Answers and Explanations 521