SAT For Dummies
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Geraldine Woods
SAT-SET math
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SAT For Dummies
Preparing book pages
1
Entries
334
Introduction
Theory
Page 19
About This Book
Theory
Page 19
Conventions Used in This Book
Theory
Page 20
What You're Not to Read
Theory
Page 21
Foolish Assumptions
Theory
Page 21
How This Book Is Organized
Theory
Page 22
Part I. Surveying the Field: An Overview of the SAT
Theory
Page 22
Part II. Comprehending the SAT: The Critical Reading Sections
Theory
Page 22
Part III. Getting the “Write” Answers: The Writing Sections
Theory
Page 22
Part IV. Take a Number, Any Number: The Mathematics Sections
Theory
Page 23
Part V. Where the Rubber Meets the Road: Practice Tests
Theory
Page 23
Part VI. The Part of Tens
Theory
Page 23
Icons Used in This Book
Theory
Page 23
Where to Go from Here
Theory
Page 24
Part I. Surveying the Field: An Overview of the SAT
Theory
Page 25
1. Pouring Your Brain into Little Ovals: The SAT
Theory
Page 27
1.1. Sitting for the SAT Rather Than ACTing Up
Theory
Page 27
1.2. Getting Set for the SAT: Registering for the Right Test at the Right Time
Theory
Page 28
1.3. Meeting Special Needs
Theory
Page 29
1.4. Measuring Your Mind: What the SAT Tests
Theory
Page 30
1.4.1. Critical Reading
Theory
Page 31
1.4.2. Sentence Completions
Theory
Page 31
1.4.3. Reading Comprehension
Theory
Page 31
1.4.4. Writing
Theory
Page 32
1.4.4.1. Error Recognition
Theory
Page 32
1.4.4.2. Sentence Revision
Theory
Page 32
1.4.4.3. Paragraph Revision
Theory
Page 33
1.4.4.4. Essay
Theory
Page 33
1.4.5. Mathematics
Theory
Page 33
1.5. Scoring on the SAT
Theory
Page 34
2. Getting Ready, Set, and Going: Preparing for the SAT
Theory
Page 35
2.1. Flying with the Early Bird: A Long-Range Plan
Theory
Page 35
2.2. Hitting the Golden Mean: A Medium-Range Plan
Theory
Page 36
2.3. Controlling the Panic: A Short-Range Plan
Theory
Page 37
2.4. Snoozing through the Night Before
Theory
Page 38
2.5. Sailing through SAT-Day Morning
Theory
Page 39
2.5.1. Bringing the Right Stuff
Theory
Page 39
2.5.2. Handling Test Tension
Theory
Page 40
2.5.3. Starting Off
Theory
Page 40
2.5.4. Focusing during the Test
Theory
Page 41
2.5.5. Pacing Yourself
Theory
Page 41
Part II. Comprehending the SAT: The Critical Reading Sections
Theory
Page 43
3. Reading between (and on) the Lines: The Critical Reading Section
Theory
Page 45
3.1. Getting Acquainted with the Critical Reading Section
Theory
Page 45
3.1.1. Meeting SAT Single Passages
Theory
Page 46
3.1.2. Doubling Your Trouble: Paired Passages
Theory
Page 46
3.1.3. Completing Sentences
Theory
Page 46
3.2. Conquering Passage-Based Questions
Theory
Page 46
3.2.1. Speaking Factually
Theory
Page 46
3.2.2. Defining as You Read
Theory
Page 49
3.2.3. Decoding Symbols and Metaphors
Theory
Page 49
3.2.4. Identifying the Attitude
Theory
Page 50
3.2.5. Understanding Examples
Theory
Page 51
3.2.6. Covering All Your Bases: The Main Idea
Theory
Page 51
3.2.7. Making Inferences
Theory
Page 52
3.2.8. Skipping When You're at the End of Your Rope
Theory
Page 52
3.2.9. Making a Long Story Short: Reading Quickly
Theory
Page 53
3.2.10. Deciding Which to Read First: The Passage or the Question
Theory
Page 54
4. Practicing Critical Reading Passages: Reading for Points
Theory
Page 55
4.1. Hitting the Singles Scene: Full-Length Passages
Theory
Page 55
4.1.1. Set One
Problem
Page 55
4.1.2. Set Two
Problem
Page 58
4.1.3. Answers to Set Two
Answer
Page 60
4.2. Doing Double Duty: Paired Passages
Theory
Page 60
4.2.1. Set One
Problem
Page 61
4.2.2. Set Two
Problem
Page 64
4.2.3. Answers to Set Two
Answer
Page 65
4.3. Abbreviating the Agony: Short Passages
Theory
Page 66
4.3.1. Set One
Problem
Page 66
4.3.2. Set Two
Problem
Page 69
4.3.3. Answers to Set Two
Answer
Page 72
5. Filling In the Blanks: Sentence Completions
Theory
Page 73
5.1. Sampling the Sentence Completion Menu
Theory
Page 73
5.1.1. Simple Vocabulary, One Blank
Theory
Page 74
5.1.2. Simple Vocabulary, Two Blanks
Theory
Page 75
5.1.3. Tough Vocabulary
Theory
Page 75
5.2. Uncovering Word Clues
Theory
Page 76
5.3. Applying Real-Life Experience
Theory
Page 77
5.4. Completing the Sentence: Steps That Work
Theory
Page 78
6. Practicing Sentence Completions
Theory
Page 79
6.1. Set One: Tackling Some Guided Questions
Problem
Page 79
6.2. Set Two: Practicing Some Questions on Your Own
Problem
Page 82
6.3. Answers to Set Two
Answer
Page 83
Part III. Getting the “Write” Answers: The Writing Sections
Theory
Page 85
7. Writing Your Way to a High Score: The Essay
Theory
Page 87
7.1. Answering Prompt: Writing about the Right Topic in Your Essay
Theory
Page 87
7.2. Organizing Your Thoughts — Timing Is Everything
Theory
Page 88
7.3. Mastering the Writing Process
Theory
Page 89
7.3.1. Prewriting
Theory
Page 89
7.3.2. Writing
Theory
Page 90
7.3.2.1. Introductory Paragraph
Theory
Page 91
7.3.2.2. Body Paragraphs
Theory
Page 91
7.3.2.3. Concluding Paragraph
Theory
Page 92
7.3.3. Polishing
Theory
Page 92
7.4. Scoring the Essay: Rubrics without the Cube
Theory
Page 92
7.4.1. How Graders Score the Essays
Theory
Page 93
7.4.2. How You Can Score Your Practice Essays
Theory
Page 94
8. Practicing Essays
Theory
Page 95
8.1. Spying Some Samples: SAT Essays and Evaluations
Theory
Page 95
8.1.1. The Prompt
Theory
Page 95
8.1.2. The Good: Looking at a “5” Essay
Theory
Page 96
8.1.3. The Not-Too-Bad: Examining a “3” Essay
Theory
Page 97
8.1.4. The Not-So-Good: Checking Out a “1” Essay
Theory
Page 97
8.2. Practicing What I Preach: Your Turn to Write
Theory
Page 98
8.2.1. Essay Prompt One
Problem
Page 98
8.2.2. Essay Prompt Two
Problem
Page 99
8.2.3. Essay Prompt Three
Problem
Page 99
8.2.4. Essay Prompt Four
Problem
Page 99
8.2.5. Essay Prompt Five
Problem
Page 99
8.2.6. Essay Prompt Six
Problem
Page 99
8.2.7. Essay Prompt Seven
Problem
Page 100
8.2.8. Essay Prompt Eight
Problem
Page 100
9. Joining the Grammar Police
Theory
Page 101
9.1. Surveying Multiple-Choice Writing Questions
Theory
Page 101
9.1.1. Bubbling the Wrong Answer: Error-Recognition Questions
Theory
Page 101
9.1.2. Improving Sentences: Sentence Revisions
Theory
Page 102
9.1.3. Revising for Fun and Profit: Passage Revisions
Theory
Page 103
9.2. Nailing Nouns and Capturing Commas: The SAT Grammar Review
Theory
Page 105
9.2.1. Agreeing with the Grammar Cops
Theory
Page 105
9.2.1.1. Subject-Verb Agreement
Theory
Page 105
9.2.1.2. Pronoun-Antecedent Agreement
Theory
Page 106
9.2.2. Tensing Up
Theory
Page 107
9.2.3. Casing the Joint
Theory
Page 107
9.2.4. Punctuating Your Way to a Perfect Score
Theory
Page 108
9.2.5. Choosing the Right Word
Theory
Page 108
9.2.6. Staying between the Parallel Lines
Theory
Page 109
10. Practicing Grammar Problems: Recognizing Your Mistakes
Theory
Page 111
10.1. Examining Error-Recognition Questions
Theory
Page 111
10.1.1. Set One
Problem
Page 111
10.1.2. Set Two
Problem
Page 113
10.1.3. Answers to Set Two
Answer
Page 114
10.2. Solving Sentence-Revision Questions
Theory
Page 115
10.2.1. Set One
Problem
Page 115
10.2.2. Set Two
Problem
Page 117
10.2.3. Answers to Set Two
Answer
Page 118
10.3. Paragraph-Revision Questions
Theory
Page 119
10.3.1. Set One
Problem
Page 119
10.3.2. Set Two
Problem
Page 121
10.3.3. Answers to Set Two
Answer
Page 123
Part IV. Take a Number, Any Number: The Mathematics Sections
Theory
Page 125
11. Meeting Numbers Head-On: The SAT Math Sections
Theory
Page 127
11.1. Having Fun with Numbers: SAT Math 101
Theory
Page 127
11.1.1. Numbers and Operations
Theory
Page 128
11.1.2. Algebra and Functions
Theory
Page 128
11.1.3. Geometry
Theory
Page 129
11.1.4. Statistics, Probability, and Data Interpretation
Theory
Page 129
11.2. Calculating Your Way to SAT Success
Theory
Page 130
11.3. Taking Your Time versus Getting It Right
Theory
Page 131
11.4. Knowing When to Grid and Bear It
Theory
Page 132
11.5. Planning for the Battle: Some Math Strategies That Work
Theory
Page 133
12. Numb and Numbering: The Ins and Outs of Numbers and Operations
Theory
Page 135
12.1. Meeting the Number Families
Theory
Page 135
12.2. Getting Your Priorities Straight: Order of Operations
Theory
Page 137
12.3. Playing Percentage Games
Theory
Page 138
12.4. Keeping It in Proportion: Ratios and Proportion
Theory
Page 139
12.5. Getting DIRTY: Time, Rate, and Distance
Theory
Page 141
12.6. Demonstrating the Value of Radicals
Theory
Page 142
12.7. Computing Absolute Value
Theory
Page 142
12.8. Finding the Pattern
Theory
Page 143
12.9. Setting a Spell
Theory
Page 144
13. Practicing Problems in Numbers and Operations
Theory
Page 145
13.1. Set One: Trying Out Some Guided Questions
Problem
Page 145
13.2. Set Two: Practicing Some Questions on Your Own
Problem
Page 148
13.3. Answers to Set Two
Answer
Page 150
14. X Marks the Spot: Algebra and Functions
Theory
Page 153
14.1. Powering Up: Exponents
Theory
Page 153
14.2. Putting It Together and Taking It Apart: FOIL and Factoring
Theory
Page 155
14.3. Solving Equations: Why Don’t They Just Tell Me What X Is?
Theory
Page 157
14.3.1. Absolute Value
Theory
Page 157
14.3.2. Radical Equations
Theory
Page 158
14.3.3. Rational Equations
Theory
Page 158
14.3.4. Direct and Inverse Variation
Theory
Page 159
14.4. Barely Functioning
Theory
Page 159
14.5. Functioning at a Higher Level
Theory
Page 160
14.5.1. Figuring Out Linear Functions
Theory
Page 160
14.5.2. Thinking through Quadratic Functions
Theory
Page 161
14.5.3. Decoding Symbolism
Theory
Page 163
15. Practicing Problems in Algebra and Functions
Theory
Page 165
15.1. Set One: Getting Started with Some Guided Questions
Problem
Page 165
15.2. Set Two: Practicing Some Questions on Your Own
Problem
Page 170
15.3. Answers to Set Two
Answer
Page 172
16. Checking More Figures Than an IRS Agent: Geometry Review
Theory
Page 175
16.1. Playing the Angles: Knowing What Makes One Angle Different from Another Angle
Theory
Page 176
16.2. Increasing Your Polygon Knowledge: Triangles, Quadrilaterals, and More
Theory
Page 178
16.2.1. Figuring Out What You Need to Know about Triangles
Theory
Page 178
16.2.2. Identifying What Makes Two Triangles (or Other Figures) Similar
Theory
Page 180
16.2.3. Calculating the Area of Triangles
Theory
Page 181
16.2.4. Using the Pythagorean Theorem
Theory
Page 182
16.2.5. Simplifying Things with Pythagorean Triples
Theory
Page 182
16.2.6. Taking a Quick Look at Quadrilaterals
Theory
Page 184
16.2.7. Considering Some Other Polygons
Theory
Page 185
16.3. Getting the Lowdown on Circles
Theory
Page 187
16.4. Avoiding Two-Dimensional Thinking: Solid Geometry
Theory
Page 190
16.4.1. Volume
Theory
Page 190
16.4.2. Surface Area
Theory
Page 191
17. Practicing Problems in Geometry
Theory
Page 193
17.1. Set One: Getting Started with Some Guided Questions
Problem
Page 193
17.2. Set Two: Practicing Some Questions on Your Own
Problem
Page 198
17.3. Answers to Set Two
Answer
Page 199
18. Playing the Odds: Statistics and Probability
Theory
Page 201
18.1. Working with the Odds: Probability
Theory
Page 201
18.1.1. Psyching Out Multiple-Probability Questions
Theory
Page 202
18.1.2. Surviving Geometric Probability
Theory
Page 203
18.2. Saying “MMM”: Mean, Median, and Mode
Theory
Page 203
18.3. Reading Graphs
Theory
Page 204
18.3.1. Bar Graphs
Theory
Page 205
18.3.2. Circle or Pie Graphs
Theory
Page 205
18.3.3. Two-Axes Line Graphs and Scatterplots
Theory
Page 205
18.3.4. Multiple Graphs
Theory
Page 206
18.4. Analyzing Logic Questions
Theory
Page 208
19. Practicing Problems in Probability, Statistics, and Logic
Theory
Page 211
19.1. Set One: Trying Your Hand at Some Guided Questions
Problem
Page 211
19.2. Set Two: Practicing Some Questions on Your Own
Problem
Page 216
19.3. Answers to Set Two
Answer
Page 217
Part V. Where the Rubber Meets the Road: Practice Tests
Theory
Page 219
20. Practice Exam 1
Test
Page 221
20.1. Answer Sheet
Test
Page 223
20.2. Section 1: The Essay
Test
Page 227
20.3. Section 2: Critical Reading
Test
Page 228
20.4. Section 3: Mathematics
Test
Page 233
20.5. Section 4: Critical Reading
Test
Page 238
20.6. Section 5: Mathematics
Test
Page 243
20.7. Section 6: Multiple-Choice Writing
Test
Page 247
20.8. Section 7: Critical Reading
Test
Page 253
20.9. Section 8: Mathematics
Test
Page 257
20.10. Section 9: Multiple-Choice Writing
Test
Page 260
21. Practice Exam 1: Answers and Explanations
Answer
Page 263
21.1. Section 1: The Essay
Answer
Page 263
21.2. Section 2: Critical Reading
Answer
Page 264
21.3. Section 3: Mathematics
Answer
Page 266
21.4. Section 4: Critical Reading
Answer
Page 269
21.5. Section 5: Mathematics
Answer
Page 271
21.6. Section 6: Multiple-Choice Writing
Answer
Page 274
21.7. Section 7: Critical Reading
Answer
Page 277
21.8. Section 8: Mathematics
Answer
Page 278
21.9. Section 9: Multiple-Choice Writing
Answer
Page 280
21.10. Answer Key for Practice Exam 1
Answer
Page 282
22. Practice Exam 2
Test
Page 285
22.1. Answer Sheet
Test
Page 287
22.2. Section 1: The Essay
Test
Page 291
22.3. Section 2: Critical Reading
Test
Page 292
22.4. Section 3: Mathematics
Test
Page 297
22.5. Section 4: Critical Reading
Test
Page 302
22.6. Section 5: Mathematics
Test
Page 306
22.7. Section 6: Multiple-Choice Writing
Test
Page 310
22.8. Section 7: Critical Reading
Test
Page 316
22.9. Section 8: Mathematics
Test
Page 321
22.10. Section 9: Multiple-Choice Writing
Test
Page 325
23. Practice Exam 2: Answers and Explanations
Answer
Page 329
23.1. Section 1: The Essay
Answer
Page 329
23.2. Section 2: Critical Reading
Answer
Page 330
23.3. Section 3: Mathematics
Answer
Page 333
23.4. Section 4: Critical Reading
Answer
Page 336
23.5. Section 5: Mathematics
Answer
Page 338
23.6. Section 6: Multiple-Choice Writing
Answer
Page 341
23.7. Section 7: Critical Reading
Answer
Page 343
23.8. Section 8: Mathematics
Answer
Page 345
23.9. Section 9: Multiple-Choice Writing
Answer
Page 348
23.10. Answer Key for Practice Exam 2
Answer
Page 349
24. Practice Exam 3
Test
Page 353
24.1. Answer Sheet
Test
Page 355
24.2. Section 1: The Essay
Test
Page 359
24.3. Section 2: Critical Reading
Test
Page 360
24.4. Section 3: Mathematics
Test
Page 365
24.5. Section 4: Critical Reading
Test
Page 369
24.6. Section 5: Mathematics
Test
Page 375
24.7. Section 6: Multiple-Choice Writing
Test
Page 379
24.8. Section 7: Critical Reading
Test
Page 384
24.9. Section 8: Mathematics
Test
Page 388
24.10. Section 9: Multiple-Choice Writing
Test
Page 392
25. Practice Exam 3: Answers and Explanations
Answer
Page 395
25.1. Section 1: The Essay
Answer
Page 395
25.2. Section 2: Critical Reading
Answer
Page 396
25.3. Section 3: Mathematics
Answer
Page 398
25.4. Section 4: Critical Reading
Answer
Page 400
25.5. Section 5: Mathematics
Answer
Page 403
25.6. Section 6: Multiple-Choice Writing
Answer
Page 405
25.7. Section 7: Critical Reading
Answer
Page 408
25.8. Section 8: Mathematics
Answer
Page 410
25.9. Section 9: Multiple-Choice Writing
Answer
Page 411
25.10. Answer Key for Practice Exam 3
Answer
Page 413
26. Practice Exam 4
Test
Page 415
26.1. Answer Sheet
Test
Page 417
26.2. Section 1: The Essay
Test
Page 421
26.3. Section 2: Critical Reading
Test
Page 422
26.4. Section 3: Mathematics
Test
Page 427
26.5. Section 4: Critical Reading
Test
Page 431
26.6. Section 5: Mathematics
Test
Page 436
26.7. Section 6: Multiple-Choice Writing
Test
Page 440
26.8. Section 7: Critical Reading
Test
Page 445
26.9. Section 8: Mathematics
Test
Page 449
26.10. Section 9: Multiple-Choice Writing
Test
Page 453
27. Practice Exam 4: Answers and Explanations
Answer
Page 457
27.1. Section 1: The Essay
Answer
Page 457
27.2. Section 2: Critical Reading
Answer
Page 458
27.3. Section 3: Mathematics
Answer
Page 461
27.4. Section 4: Critical Reading
Answer
Page 463
27.5. Section 5: Mathematics
Answer
Page 465
27.6. Section 6: Multiple-Choice Writing
Answer
Page 467
27.7. Section 7: Critical Reading
Answer
Page 470
27.8. Section 8: Mathematics
Answer
Page 472
27.9. Section 9: Multiple-Choice Writing
Answer
Page 474
27.10. Answer Key for Practice Exam 4
Answer
Page 476
Part VI. The Part of Tens
Theory
Page 479
28. Ten Ways to Maximize Your Score
Theory
Page 481
28.1. Stash Your Admission Ticket in Plain Sight
Theory
Page 481
28.2. Keep Your Blanks in the Right Row
Theory
Page 481
28.3. Follow All Directions
Theory
Page 481
28.4. Face the Grid-Ins Head-On
Theory
Page 481
28.5. Order the Operations
Theory
Page 482
28.6. Give Them What They Want
Theory
Page 482
28.7. Stay in Context
Theory
Page 482
28.8. Scrap the Meaningless Scrap Paper
Theory
Page 482
28.9. Erase Your Errors
Theory
Page 482
28.10. Write Legibly
Theory
Page 482
29. Ten Ways to Calm Down
Theory
Page 483
29.1. Prepare Well
Theory
Page 483
29.2. Sleep It Off
Theory
Page 483
29.3. Start Early
Theory
Page 483
29.4. Make a List
Theory
Page 483
29.5. Stretch Your Muscles
Theory
Page 484
29.6. Roll Your Head
Theory
Page 484
29.7. Breathe Deeply
Theory
Page 484
29.8. Isolate the Problem
Theory
Page 484
29.9. Become Fatalistic
Theory
Page 484
29.10. Focus on the Future
Theory
Page 484
Appendix: Scoring Your Exam
Other
Page 485
Determining Your Writing Score
Other
Page 485
Essay Score
Other
Page 485
Multiple-Choice Writing Score
Other
Page 485
Combined Writing Score
Other
Page 487
Calculating Your Critical Reading Score
Other
Page 489
Scoring the Math Sections
Other
Page 491
Index
Other
Page 495
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