College Panda Math - Advanced Guide and Workbook 2nd Edition - SAT Math

Aug 25, 2026

Advanced guide and workbook for SAT math designed to help students master recurring question types through tested concepts and repeatable approaches. The book explains the overall SAT math structure, emphasizes practice-first learning with chapter exercises and solution review, and encourages revisiting missed problems to strengthen reflexive problem solving. Coverage includes core topics such as exponents and radicals, percent, growth, rates, ratio and proportion, expressions and factoring, modeling, equations, systems, inequalities, word problems, lines, functions, quadratics, and beyond.

LanguageEnglish

CategoryExam

FormatPDF

Pages343

Reading Time14 h 24 min

AccessFree to download

Introduction

Format of the Test

How to Read this Book

Table of Contents

1 Exponents & Radicals

2 Percent

3 Exponential vs. Linear Growth

4 Rates

5 Ratio & Proportion

6 Expressions

7 Constructing Models

8 Manipulating & Solving Equations

9 More Equation Solving Strategies

10 Systems of Equations

11 Inequalities

12 Word Problems

13 Minimum & Maximum Word Problems

14 Lines

15 Interpreting Linear Models

16 Functions

17 Quadratics

18 Synthetic Division

19 Complex Numbers

20 Absolute Value

21 Angles

22 Triangles

23 Circles

24 Trigonometry

25 Reading Data

26 Probability

27 Statistics I

28 Statistics II

Experimental design and conclusions

29 Volume

30 Answers to the Exercises

Advanced Guide and Workbook2nd Edition Copyright ◎ 2020 The College PandaAll rights reserved. ISBN:978-1-7331927-2-9 No part of this book may be reproduced without written permission from the author. *SAT is a registered trademark of the College Board,which does not endorse this product. For more information,visit thecollegepanda.com Discounts available for teachers and companies.Please contact thecollegepanda@gmail.com for details. # Introduction The best way to do well on any test is to be experienced with the material.Nowhere is this more true than onthe SAT,which is standardized to repeat the same question types again and again.The purpose of this book isto teach you the concepts and battle-tested approaches you need to know for allthese questions types.If it'snot in this book,it's not on the test.The goal is for every SAT question to be a simple reflex,something youknow how to handle instinctively because you've seen it so many times before. You won't find any cheap tricks in this book,simply because there aren't any that work consistently.Don't buyinto the idea that you can improve your score significantly without hard work # Format of the Test There are two math sections on the SAT.The first contains 20 questions to be done in 25 minutes without acalculator.The second contains 38 questions to be done in 55minutes and a calculator is permitted. Some topics only show up in the calculator section.I've made sure to accurately divide the practice questionsinto non-calculator and calculator components. # How to Read this Book For a complete understanding,this book is best read from beginning to end.That being said,each chapter waswritten to be independent of the others as much as possible.After all,you may already be proficient in sometopics yet weak in others.If so,feel free to jump around,focusing on the chapters that are most relevant toyour improvement. All chapters come with exercises.Do them.You won't master the material until you think through thequestions yourself.If you get stuck on a question,give yourself a few minutes to figure it out.If you'restillstuck,then look at the solution and take the time to fully understand it.Then circle the question numberor make a note of it somewhere so that you can redo the question later.Revisiting questions you′ve missed isthe best way to improve your score. # About the Author Nielson Phu graduated from New York University,where he studied actuarial science.He has obtained perfectscores on the SAT and on the SAT math subject test.As a teacher,he has helped hundreds of studentsthroughout Boston and Hong Kong perform better on standardized tests.Although he continues to pursuehis interests in education,he is now an engineer in the Boston area. # Table of Contents ## 1 Exponents &Radicals Laws of exponents Evaluating expressions with exponentsSolving equations with exponentsSimplifying square roots 2 Percent Percent changeCompound interestPercent word problems ## 3 Exponential vs.Linear Growth Linear growth and decayExponential growth and decayPositive and negative association ## 4 Rates Conversion factors ## 5 Ratio &Proportion 6 Expressions Combining like termsExpansion and factoringCombining,dividing,and splitting fractions 7 Constructing Models 8 Manipulating &Solving Equations Common mistakes to avoidTools for isolating variablesStrategies for solving complicated equations ## 9 More Equation Solving Strategies Matching coefficientsInfinitely many solutionsNo solutionsClearing denominators ## 10 Systems of Equations SubstitutionElimination Systems with no solutions and infinite solutionsWord problemsMore complex systemsGraphs of systems of equations 7 15 23 32 38 44 52 57 78 ## 11 Inequalities How to solve inequalitiesInequality word problemsGraphs of inequalities 12 Word Problems 13 Minimum &Maximum Word Problems ## 14 Lines Slope and y-intercept Equations of lines:slope-intercept form

FAQs

How is the SAT math section structured in this book?

It explains two math sections: 20 questions in 25 minutes without a calculator, and 38 questions in 55 minutes with a calculator. It also notes that some topics appear only in the calculator section and practice is divided accordingly.

What is the recommended way to read and use the book?

Read from beginning to end for full understanding, but each chapter is designed to be relatively independent. Complete the exercises in each chapter, and if stuck, review the solution after giving yourself time to work through the problem.

Does the book rely on tricks to raise scores?

No. It states that there are no cheap tricks that work consistently, emphasizing hard work and concepts plus battle-tested approaches to handle question types reflexively.

Aug 25, 2026

Uploaded by Emma Wilson