The Complete SAT Prep Study Guide
THE COMPLETE
SAT PREP
STUDY GUIDE
5,000 Practice Questions with Step-by-Step
Explanations
Formulas • Strategies • Illustrated Concepts • Full Answer Key
Math | Reading & Writing
Page 1
,The Complete SAT Prep Study Guide
TABLE OF CONTENTS
Introduction & How to Use This Guide 5
Chapter 1: SAT Format, Scoring & Strategy 7
Chapter 2: Math — Formulas & Reference 15
Chapter 3: Algebra — Linear Equations & Inequalities 35
Chapter 4: Quadratic Equations & Parabolas 65
Chapter 5: Advanced Math — Functions & 90
Exponentials
Chapter 6: Statistics, Probability & Data Analysis 115
Chapter 7: Geometry & Trigonometry 140
Chapter 8: Word Problems & Problem Solving 165
Chapter 9: Reading Comprehension Strategies 185
Chapter 10: Writing, Grammar & Language 215
Chapter 11: Full Practice Test A 245
Chapter 12: Full Practice Test B 265
Appendix A: Master Formula Sheet 285
Appendix B: Test-Day Checklist & Score Roadmap 293
Answer Key Summary 297
Page 2
,The Complete SAT Prep Study Guide
Introduction & How to Use This Guide
This guide prepares you for every question type on the SAT. Each
chapter combines illustrated concept explanations, worked
examples, and 5,000 practice questions. Questions appear first —
attempt them before reading the explanations.
How This Guide Works
• Read the concept summary and study the illustration at the
start of each chapter.
• Attempt every practice question on your own before looking at
hints or answers.
• Use the hint line under each question to guide your thinking —
not to shortcut your work.
• Check the Answer Key at the end of each chapter only after
completing a full set.
• Track your score per chapter to identify your weakest areas.
★ TIP: Students who attempt every question before checking
answers improve their scores 2× faster than those who read solutions
immediately.
Recommended Study Schedule
Time Focus
Week 1 Chapters 1–2: SAT Overview + Math Formulas
Week 2 Chapter 3: Algebra (50 questions/day)
Week 3 Chapter 4–5: Quadratics + Advanced Math
Week 4 Chapter 6–7: Statistics + Geometry
Week 5 Chapters 8–10: Word Problems + Reading +
Writing
Week 6 Practice Tests A & B + review all missed
questions
Page 3
, The Complete SAT Prep Study Guide
How the Digital SAT Is Structured
Feature Details
Format Computer-adaptive (Module 2 difficulty adjusts
to Module 1 performance)
Reading & Writing 2 modules × 27 questions = 54 questions, ~64
minutes total
Math 2 modules × 22 questions = 44 questions, ~70
minutes total
Total 98 questions in approximately 2 hours 14
minutes
Scoring 200–800 per section; 400–1600 combined
Calculator Permitted throughout Math (Desmos built-in)
Wrong answer None — always guess if unsure
penalty
Page 4
THE COMPLETE
SAT PREP
STUDY GUIDE
5,000 Practice Questions with Step-by-Step
Explanations
Formulas • Strategies • Illustrated Concepts • Full Answer Key
Math | Reading & Writing
Page 1
,The Complete SAT Prep Study Guide
TABLE OF CONTENTS
Introduction & How to Use This Guide 5
Chapter 1: SAT Format, Scoring & Strategy 7
Chapter 2: Math — Formulas & Reference 15
Chapter 3: Algebra — Linear Equations & Inequalities 35
Chapter 4: Quadratic Equations & Parabolas 65
Chapter 5: Advanced Math — Functions & 90
Exponentials
Chapter 6: Statistics, Probability & Data Analysis 115
Chapter 7: Geometry & Trigonometry 140
Chapter 8: Word Problems & Problem Solving 165
Chapter 9: Reading Comprehension Strategies 185
Chapter 10: Writing, Grammar & Language 215
Chapter 11: Full Practice Test A 245
Chapter 12: Full Practice Test B 265
Appendix A: Master Formula Sheet 285
Appendix B: Test-Day Checklist & Score Roadmap 293
Answer Key Summary 297
Page 2
,The Complete SAT Prep Study Guide
Introduction & How to Use This Guide
This guide prepares you for every question type on the SAT. Each
chapter combines illustrated concept explanations, worked
examples, and 5,000 practice questions. Questions appear first —
attempt them before reading the explanations.
How This Guide Works
• Read the concept summary and study the illustration at the
start of each chapter.
• Attempt every practice question on your own before looking at
hints or answers.
• Use the hint line under each question to guide your thinking —
not to shortcut your work.
• Check the Answer Key at the end of each chapter only after
completing a full set.
• Track your score per chapter to identify your weakest areas.
★ TIP: Students who attempt every question before checking
answers improve their scores 2× faster than those who read solutions
immediately.
Recommended Study Schedule
Time Focus
Week 1 Chapters 1–2: SAT Overview + Math Formulas
Week 2 Chapter 3: Algebra (50 questions/day)
Week 3 Chapter 4–5: Quadratics + Advanced Math
Week 4 Chapter 6–7: Statistics + Geometry
Week 5 Chapters 8–10: Word Problems + Reading +
Writing
Week 6 Practice Tests A & B + review all missed
questions
Page 3
, The Complete SAT Prep Study Guide
How the Digital SAT Is Structured
Feature Details
Format Computer-adaptive (Module 2 difficulty adjusts
to Module 1 performance)
Reading & Writing 2 modules × 27 questions = 54 questions, ~64
minutes total
Math 2 modules × 22 questions = 44 questions, ~70
minutes total
Total 98 questions in approximately 2 hours 14
minutes
Scoring 200–800 per section; 400–1600 combined
Calculator Permitted throughout Math (Desmos built-in)
Wrong answer None — always guess if unsure
penalty
Page 4
