The Princeton Review 2025 PREMIUM @DSATuz1 (2024)

Name: The Princeton Review 2025 PREMIUM @DSATuz1 (2024)
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The Princeton Review 2025 PREMIUM @DSATuz1 (2024) provides detailed explanations to help you understand key concepts.

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The Princeton Review Publishing Team
Rob Franek, Editor-in-Chief
David Soto, Senior Director, Data Operations
Stephen Koch, Senior Manager, Data Operations
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Orion McBean, Senior Editor
Aaron Riccio, Senior Editor
Meave Shelton, Senior Editor
Chris Chimera, Editor
Patricia Murphy, Editor
Laura Rose, Editor
Isabelle Appleton, Editorial Assistant
Penguin Random House Publishing Team
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The Princeton Review
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New York, NY 10017
Copyright © 2024 by TPR Education IP Holdings, LLC. All rights reserved.
Published in the United States by Penguin Random House LLC, New York.
Terms of Service: The Princeton Review Online Companion Tools (“Student Tools”) for retail
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Activation of Student Tools more than once per book is in direct violation of these Terms of
Service and may result in discontinuation of access to Student Tools Services.
ISBN 9780593517543
Ebook ISBN 9780593517550
SAT is a trademark registered by the College Board, which is not affiliated with, and does
not endorse, this product.
This book is the 2025 edition of Princeton Review SAT Prep. Some material in this book
was previously published in Princeton Review PSAT Prep 2024, a trade paperback
respectively published by Random House LLC in 2023.
The Princeton Review is not affiliated with Princeton University.
Editor: Laura Rose
Production Editors: Liz Dacey and Wendy Rosen
Production Artist: Deborah Weber
© 2024 Penguin Random House LLC
Cover art by Madeleine Jettre / Alamy Stock Photo
Cover design by Suzanne Lee
Photo selection and layout by Carling Design, Inc.
For customer service, please contact editorialsupport@review.com,
and be sure to include:
full title of the book
ISBN
page number
a_prh_7.0_147466945_c0_r0
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Acknowledgments
An SAT course is much more than clever techniques and powerful
computer score reports. The reason our results are great is that our teachers
care so much about their students. Many teachers have gone out of their
way to improve the course, often going so far as to write their own
materials, some of which we have incorporated into our course manuals as
well as into this book. The list of these teachers could fill this page.
Special thanks to all those who contributed to this year’s edition: Kenneth
Brenner, Sara Kuperstein, Amy Minster, Scott O’Neal, Brittany Budzon,
Tania Capone, Remy Cosse, Stacey Cowap, Jennifer Daniels, Beth
Hollingsworth, Adam Keller, Ali Landreau, Aaron Lindh, Christine
Lindwall, Jomil London, Sweena Mangal, Sionainn Marcoux, Valerie
Meyers, Gabby Peterson, Denise Pollard, Kathy Ruppert, Jess Thomas,
Jimmy Williams, and Suzanne Wint.
We are also, as always, very appreciative of the time and attention given to
each page by Deborah Weber, Liz Dacey, and Wendy Rosen.
Finally, we would like to thank the people who truly have taught us
everything we know about the SAT: our students.
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Contents
Foreword
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Part I: Orientation
1 The Digital SAT, The Princeton Review, and You
General Information About the Digital SAT
How to Begin
2 Practice Test 1
3 Practice Test 1: Diagnostic Answer Key and Explanations
4 Cracking the Digital SAT: Basic Principles
Basic Principles of Cracking the Test
Taking the Easy Test First
Cracking Multiple-Choice Questions
Process of Elimination (POE)
Summary
Part II: How to Crack the Reading and Writing Section
5 Reading and Writing Introduction
Find Your Strengths and Weaknesses
Reading, Rules, and Rhetoric Questions
Start with the Question
6 The Reading Questions
SAT Reading: Cracking the Passages
Steps of the Basic Approach

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Applying the Steps
POE Criteria
Summary
7 Reading Question Types 1–3: Craft and Structure
Vocabulary Questions
Purpose Questions
Dual Texts Questions
Summary
8 Reading Question Types 4–8: Information and Ideas
Retrieval Questions
Main Idea Questions
Claims Questions
Charts Questions
Conclusions
Summary
9 Advanced Reading Skills
Vocabulary: Playing the Greatest Hits
Down to Two (or More): Mastering POE
Poetry: Keeping Your Cool
Sentence Function: Understanding Why Sentences are
Included
Summary
10 Comprehensive Reading Drill
Comprehensive Reading Drill Answers and Explanations
11 Introduction to Rules Questions
Learn the Rules and Follow Them
Tools for Rules
What’s Changing in the Answers Exercise

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Answers to What’s Changing in the Answers Exercise
12 Rules Questions: Complete Sentences
What Does a Sentence Need?
Question or Statement?
Verb Forms in Complete Sentences
Complete Sentences Drill
Complete Sentences Drill Answers and Explanations
Summary
13 Rules Questions: Describing Phrases
Who or What Are You Talking About?
Extra! Extra! Put Punctuation Around It!
Specifying vs. Extra Information Exercise
Answers to Specifying vs. Extra Information Exercise
Describing Phrases Drill
Describing Phrases Drill Answers and Explanations
Summary
14 Rules Questions: Linking Independent Clauses
How to Connect Independent Clauses
Punctuation with Transitions
Linking Independent Clauses Drill
Linking Independent Clauses Drill Answers and Explanations
Summary
15 Rules Questions: Dependent Clauses, Lists, and No
Punctuation
Dependent Clauses
Independent vs. Dependent Clauses Exercise
Punctuating Lists
Where Punctuation is Not Needed

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Answers to Independent vs. Dependent Clauses Exercise
Dependent Clauses, Lists, and No Punctuation Drill
Dependent Clauses, Lists, and No Punctuation Drill Answers
and Explanations
Summary
16 Rules Questions: Grammar
Grammar and Consistency
Verbs
Subjects and Verbs Exercise
Verb Tense Exercise
Pronouns
Nouns
Modifiers
Answers to Subjects and Verbs Exercise
Answers to Verb Tense Exercise
Grammar Drill
Grammar Drill Answers and Explanations
Summary
17 Rhetoric Questions
Transition Questions
Rhetorical Synthesis Questions
Rhetoric Drill
Rhetoric Drill Answers and Explanations
Summary
Part III: How to Crack the Math Section
18 Math Introduction
The Math Breakdown

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Using the Online Tools and Scratch Paper
19 Digital SAT Math: The Big Picture
The Big Picture and Important Strategies
Ballparking Strategy
Read the Final Question Strategy
Bite-Sized Pieces Strategy
Word Problems
The Calculator
Summary
20 Fun with Fundamentals
The Building Blocks
The Six Arithmetic Operations
Order of Operations
Fractions
Decimals
Exponents and Square Roots
How to Read Charts and Graphs
Fundamentals Drill
Fundamentals Drill Answers and Explanations
Summary
21 Algebra: Cracking the System
Digital SAT Algebra: Cracking the System
Fundamentals of Digital SAT Algebra
Solving Radical Equations
Solving Rational Equations
Solving for Expressions
Solving Systems of Equations
Solving Inequalities

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Writing Your Own Equations
Simplifying Expressions
Solving Quadratic Equations
Growth and Decay
When Values are Absolute
Algebra Drill
Algebra Drill Answers and Explanations
Summary
22 Other Digital SAT Algebra Strategies
Princeton Review Algebra—AKA How to Avoid Algebra on the
Digital SAT
Plugging In the Answers (PITA)
Solving Rational Equations
Plugging In Your Own Numbers
Meaning In Context
Other Digital SAT Algebra Strategies Drill
Other Digital SAT Algebra Strategies Drill Answers and
Explanations
Summary
23 Functions and Graphs
Call on the Calculator
Function Fundamentals
The Coordinate Plane
Points on a Line
Slope
Equations of a Line
Parallel and Perpendicular Lines
Two Equations with Infinitely Many Solutions

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Two Equations with No Solutions
Points of Intersection
Call on the Calculator
Graphing Functions
Equations of a Parabola
Equation of a Circle
Functions and Graphs Drill
Functions and Graphs Drill Answers and Explanations
Summary
24 Advanced Arithmetic
Call on the Calculator
Ratios and Proportions
Percentages
Fractions, Decimals, and Percents Exercise
Averages
What Is a Median?
What Is a Mode?
What Is a Range?
What is Margin of Error?
What is a Frequency Table?
What is a Standard Deviation?
Probability
Rates
Is There Science on the Digital SAT?
Advanced Arithmetic Drill
Answers to Fractions, Decimals, and Percents Exercise
Advanced Arithmetic Drill Answers and Explanations
Summary

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25 Geometry and Trigonometry
Geometry on the Digital SAT
Lines and Angles
Triangles
Trigonometry
Circles
Rectangles and Squares
Volume
Ballparking
Plugging In
Drill 1: Geometry
Drill 2: Trigonometry
Drill 1 and Drill 2 Answers and Explanations
Summary
26 Fill-Ins
What is a Fill-In?
The Instructions
Fill-Ins: A Test Drive
More POOD
Multiple Correct Answers
Fill-In Drill
Fill-In Drill Answers and Explanations
Summary
Part IV: Taking the Digital SAT
The Digital SAT is a Week Away—What Should You Do?
Part V: Practice Test 2

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Foreword
Welcome to The Princeton Review Digital SAT Prep! The Digital SAT is
not a test of aptitude, how good of a person you are, or how successful you
will be in life. The Digital SAT simply tests how well you take the Digital
SAT. And performing well on the Digital SAT is a skill, one that can be
learned like any other. The Princeton Review was founded more than 40
years ago on this very simple idea, and—as our students’ test scores show—
our approach is the one that works.
Sure, you want to do well on the Digital SAT, but you don’t need to let the
test intimidate you. As you prepare, remember two important things that
have always been true about the SAT:
It doesn’t measure the stuff that matters. It measures neither
intelligence nor the depth and breadth of what you’re learning in high
school. It doesn’t predict college grades as well as your high school
grades do. Colleges know there is more to you as a student—and as a
person—than what you do in a single 2-hour test administered on a
random Saturday morning.
It underpredicts the college performance of women, minorities, and
disadvantaged students. Historically, women have done better than
men in college but worse on the SAT. For a test that is used to help
predict performance in college, that’s a pretty poor record.
Your preparation for the Digital SAT starts here. We at The Princeton
Review spend millions of dollars every year improving our methods and
materials so that students are always ready for the Digital SAT, and we’ll
get you ready too.

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However, there is no magic pill: just buying this book isn’t going to
improve your scores. Solid score improvement takes commitment and effort
from you. If you read this book carefully and work through the problems
and practice tests included in the book, not only will you be well-versed in
the format of the Digital SAT and the concepts it tests, but you will also
have a sound overall strategy and a powerful arsenal of test-taking
strategies that you can apply to whatever you encounter on test day.
In addition to the comprehensive review in Digital SAT Prep, we’ve
included additional practice online, accessible through our website—
PrincetonReview.com—to continue helping you to improve your scores.
Before doing anything else, be sure to register your book at
PrincetonReview.com/prep. When you do, you’ll gain access to the Student
Tools, which has the most up-to-date information on the Digital SAT, as
well as the online practice tests and college admissions resources.
The more you take advantage of the resources we’ve included in this book
and the online Student Tools that go with it, the better you’ll do on the test.
Read the book carefully and learn our strategies. Take the full-length
practice tests under actual timed conditions. Analyze your performance and
focus your efforts where you need improvement. Perhaps even study with a
friend to stay motivated. Attend a free event at The Princeton Review to
learn more about the Digital SAT and how it is used in the college
admissions process. Search our website for an event that will take place
near you or take place online!
This test is challenging, but you’re on the right track. We’ll be with you all
the way.
Good luck!
The Staff of The Princeton Review
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ISBN
page number
Need to report a technical issue?
Contact TPRStudentTech@review.com and provide:
your full name
email address used to register the book
full book title and ISBN
Operating system (Mac/PC) and browser (Chrome, Firefox,
Safari, etc.)
LET’S GO MOBILE! Access free, additional resources by
downloading the new Princeton Review app at
www.princetonreview.com/mobile/apps/highschool.
Once you’ve registered, you can…
Access three practice Digital SAT exams as well as
comprehensive scoring reports
Check out our comprehensive study guides to help enhance
your test prep
Read our special “SAT Insider” and get valuable advice about
the college application process, including tips for writing a great
essay and where to apply for financial aid
Online flashcards with key Reading and Writing and Math
concepts
Video explanations of key in-book questions

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Download printable bubble sheets for your in book test
Use our searchable rankings of The Best 390 Colleges to find
out more information about your dream school
Check to see if there have been any corrections or updates to
this edition
Get our take on any recent or pending updates to the Digital SAT
Look For These Icons Throughout
The Book
PREMIUM PORTAL
ONLINE ARTICLES
ONLINE PRACTICE TESTS
PROVEN TECHNIQUES
APPLIED STRATEGIES
OTHER REFERENCES
WATCH US CRACK IT

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LET’S GET THIS PARTY STARTED!
You are about to unlock a vast repertoire of powerful strategies that have
one and only one purpose: to help you get a better score on the Digital SAT.
This book contains the collected wisdom of The Princeton Review, which
has spent more than 40 years helping students achieve higher scores on
standardized tests. We’ve devoted millions of dollars and years of our lives
to beating the SAT. It’s what we do (twisted as it may be), and we want you
to benefit from our expertise.
WHAT IS THE PRINCETON REVIEW?
The Princeton Review is the leader in test prep. Our goal is to help students
everywhere crack the SAT and a bunch of other standardized tests,
including the PSAT and the ACT as well as graduate-level exams like the
GRE and the GMAT. Starting from humble beginnings in 1981, The
Princeton Review is now the nation’s largest SAT preparation company. We
offer courses in more than 500 locations in 20 different countries, as well as
online; we also publish best-selling books, like the one you’re holding, and
online resources to get students ready for this test.
Our techniques work. We developed them after spending countless hours
scrutinizing real SATs, analyzing them with computers, and proving our
theories in the classroom.

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Welcome!
Welcome to the Premium Edition of Digital SAT
Prep. This edition comes chock-full of awesome
online resources, including online Digital SAT
practice tests, as well as study guides, college
admissions articles, and more. See “Get More
(Free) Content” on this page for step-by-step
instructions for accessing your exclusive
Premium tools. Happy test prepping!
The Princeton Review Way
This book will show you how to score higher on the Digital SAT by
teaching you to:
extract important information from tricky test questions
take full advantage of the limited time allowed
systematically answer questions—even if you don’t fully understand
them
avoid the traps that the Digital SAT has laid for you (and use those
traps to your advantage)
The test is written and administered by College Board, and they know that
our techniques work. For years, the test-writers claimed that the SAT
couldn’t be coached. But we’ve proven that view wrong, and they, in turn,
have struggled to find ways of changing the SAT so that The Princeton
Review won’t be able to crack it—in effect, acknowledging what our
students have known all along: that our techniques really do work. (In fact,
College Board has recently admitted that students can and should prepare
for the SAT. So there!) The SAT has remained highly vulnerable to our
techniques. And the current version of the SAT is even more susceptible to

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our methods. Read this book, work through the drills, take the practice tests,
and you’ll see what we mean.
Study!
If you were getting ready to take a biology test,
you’d study biology. If you were preparing for a
basketball game, you’d practice basketball. So, if
you’re preparing for the SAT, you need to study
and practice for the SAT. The exam can’t test
everything you learn in school (in fact, it tests very
little), so concentrate on learning what it does test.
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GENERAL INFORMATION ABOUT THE
DIGITAL SAT
You may have bought this book because you know nothing about the
Digital SAT, or perhaps you took the SAT once and want to raise your
score. Either way, it’s important to know about the test and the people who
write it. Let’s take a second to discuss some Digital SAT facts, some of
which may surprise you.
What Is Tested on the Digital SAT?
Just because the Digital SAT features math, reading, and writing questions
doesn’t mean that it reflects what you learned in school. You can ace
calculus or write like Shakespeare and still struggle with the SAT. The test-
writers claim that the test predicts how well you will do in college by
measuring “reasoning ability,” but all the Digital SAT really measures is
how well you take the Digital SAT. It does not reveal how smart—or how
good—a person you are.
Who Writes the Digital SAT?
Even though colleges and universities make wide use of the SAT, they’re
not the ones who write the test. That’s the job of College Board, the
organization that creates the tests and decides how they will be
administered and used.
The test-writers have been criticized for the SAT over the years. Many
educators have argued that the test does not measure the skills you really
need for college. In 2005, this led College Board to overhaul the entire test,
only to revise it all over again in early 2016. And in January 2022, College
Board announced another major change—the shift to a digital, adaptive
SAT. The important takeaway here is that the people who write the Digital
SAT have made many changes to the test over the years, so understanding
the structure of the current exam is your first step to improving on the test.

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Wait, Who Writes This Test?
You may be surprised to learn that the people who
write Digital SAT test questions are NOT
necessarily teachers or college professors. The
people who write the Digital SAT are professional
test-writers, not super-human geniuses, so you
can learn to think as they do and beat them at their
own game.
What’s on the Digital SAT?
The Digital SAT is 2 hours and 14 minutes long: 64 minutes for Reading
and Writing and 70 minutes for Math.
The test consists of the following sections, in this order:
Reading and Writing (RW) (2 modules, each 27 questions in 32
minutes)
All questions in the RW section are multiple-choice.
Two questions in each module are experimental and are not scored.
A 10-minute break
Math (2 modules, each 22 questions in 35 minutes)
Most questions in the Math section are multiple-choice.
The rest are “student-produced responses” (fill-ins).
Two questions in each module are experimental and are not scored.
Key Takeaway
Knowing how the test is structured will help you
determine what you need to do to crack it!
The Math section contains some student-produced-response questions, but
all other questions on the exam are multiple-choice. All multiple-choice
questions on the Digital SAT have four possible answer choices.
The remaining chapters of this book cover these sections in detail, but
here’s a brief rundown of what you can expect.

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Reading and Writing Section
Previous versions of the SAT had Reading and Writing as separate sections,
with several questions attached to each long passage. The Digital SAT
combines Reading and Writing. The Reading and Writing (RW) section is
64 minutes long and consists of 2 modules, each with 27 questions that are
passage-based and multiple-choice. Each short passage (which College
Board calls a “text”) or pair of passages (texts) is associated with just one
question, and passages may be paired with informational graphics. Some of
the selected passages will be from previously published works in the areas
of world literature or poetry, but most will be short passages written by
College Board and covering topics in history, social studies, and science.
The RW section consists of four parts in order:
1. Craft and Structure (≈28%)
2. Information and Ideas (≈26%)
3. Standard English Conventions (≈26%)
4. Expression of Ideas (≈20%)
The questions in each content area will be arranged by type and, in most
cases, in order of difficulty. The first two parts of each module will cover
what was previously in the Reading section of the SAT, with questions that
require you to justify your selected answer with evidence from the passage
and/or graph provided. (This section is not about coming up with anything;
it’s about finding the correct answer based on the passage.) In the third and
fourth parts of each module, there will be questions focused on Writing
skills. Instead of asking you to analyze a passage, questions will require you
to do things like choose answers with correct punctuation and grammar.
Part II of this book will cover each question type in the Reading and
Writing section.

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