Princeton Review Digital SAT Premium Prep, 2024 : 4 Practice Tests + Online Flashcards + Review and Tools (2023)

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The Princeton Review Publishing Team
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Ebook ISBN 9780593516881
SAT is a trademark registered by the College Board, which is not affiliated with, and does not
endorse, this product.
This book is the 2024 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: Chris Chimera
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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, Sarah Litt, and Kathy Carter.
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
Get More (Free) Content
Part I: Orientation
1 The Digital SAT, The Princeton Review, and You
2 Practice Test 1
3 Practice Test 1: Answers and Explanations
4 Cracking the Digital SAT: Basic Principles
Part II: How to Crack the Reading and Writing Section
5 Reading and Writing Introduction
Find Your Strengths and Weaknesses
The Lesser of Two (or Three) Evils
Starting Off on the Right Side…of the Screen
6 The Reading Questions
SAT Reading: Cracking the Texts
Steps of the Basic Approach
Applying the Steps
POE Criteria
7 Reading Question Types 1–3: Craft and Structure
Vocabulary
Purpose
Dual Texts
8 Reading Question Types 4–8: Information and Ideas

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Retrieval
Main Idea
Claims
Charts
Conclusions
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
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 Drill
What’s Changing in the Answers Drill Answers
12 Rules Questions: Complete Sentences
What Does a Sentence Need?
Answer in the Form of a Question
The Perfect Form
Complete Sentences Drill
Complete Sentences Drill Answers and Explanations
13 Rules Questions: Describing Phrases
Who or What Are You Talking About
Extra! Extra! Put Punctuation Around It!
Specifying vs. Extra Information Drill

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Specifying vs. Extra Information Drill Answers
Describing Phrases Drill
Describing Phrases Drill Answers and Explanations
14 Rules Questions: Linking Independent Clauses
The Strongest Link
Picking Sides with Transitions
Linking Independent Clauses Drill
Linking Independent Clauses Drill Answers and Explanations
15 Rules Questions: Dependent Clauses, Lists, and No
Punctuation
Every [Dependent Clause] Needs a Friend
Independent vs. Dependent Clauses Drill
Add It to Your List—Punctuation, That Is
Don’t Go Where You’re Not Wanted—If You’re Punctuation
Independent vs. Dependent Clauses Drill Answers
Dependent Clauses, Lists, and No Punctuation Drill
Dependent Clauses, Lists, and No Punctuation Drill Answers
and Explanations
16 Rules Questions: Grammar
Let’s Get Grammatical
Verbs
Subjects and Verbs Drill
Verb Tense Drill
Pronouns
Nouns
Modifiers
Subjects and Verbs Drill Answers
Verb Tense Drill Answers

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Grammar Drill
Grammar Drill Answers and Explanations
17 Rhetoric Questions
A Smooth Transition
Ready, Set…Synthesize
Conclusion
Rhetoric Drill
Rhetoric Drill Answers and Explanations
Part III: How to Crack the Math Section
18 Math Introduction
The Math Breakdown
Using the Online Tools and Scratch Paper
19 Digital SAT Math: The Big Picture
The Big Picture
Ballparking
Read the Final Question
One Piece at a Time
The Calculator
20 Fun with Fundamentals
The Building Blocks
There Are Only Six Operations
Fractions
Decimals
Exponents and Square Roots
How to Read Charts and Graphs
Fundamentals Drill
Chapter Drill Answers and Explanations

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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
Writing Your Own Equations
Simplifying Expressions
Solving Quadratic Equations
Growth and Decay
When Values are Absolute
Algebra Drill
Chapter Drill Answers and Explanations
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
Digital SAT Algebra Strategies Drill
Chapter Drill Answers and Explanations
23 Functions and Graphs
Call on the Calculator
Function Fundamentals
The Coordinate Plane

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Points on a Line
Slope
Equations of a Line
Parallel and Perpendicular Lines
Two Equations with Infinitely Many Solutions
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
Chapter Drill Answers and Explanations
24 Advanced Arithmetic
Call on the Calculator
Ratios and Proportions
Percentages
Fractions, Decimals, and Percents Drill
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

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Advanced Arithmetic Drill
Chapter Drill Answers and Explanations
25 Geometry and Trigonometry
Geometry on the Digital SAT
Lines and Angles
Triangles
Circles
Rectangles and Squares
Volume
Ballparking
Plugging In
Drill 1: Geometry
Drill 2: Trigonometry
Chapter Drill Answers and Explanations
26 Fill-Ins
What is a Fill-In?
The Instructions
Fill-Ins: A Test Drive
More POOD
Multiple Correct Answers
Fill-In Drill
Chapter Drill Answers and Explanations
Part IV: Taking the Digital SAT
_144626033_
_144626033_

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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 most up-
to-date information on the Digital SAT, as well as more test prep 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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full title of the book
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 all of these 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

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and where to apply for financial aid
Online flashcards with key Reading and Writing and Math
concepts
Videos explanations of key in-book questions
Download printable bubble sheets for your in book test
Use our searchable rankings of The Best 389 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

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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.
Welcome!
Welcome to the Premium Edition of SAT Prep. This
edition comes chock-full of awesome online
resources, including three Digital SAT practice tests,
as well as study guides, college admissions articles,
and more. See “Get More (Free) Content” on this

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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
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.
Wait, Who Writes This Test?

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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.
The test consists of the following sections, in this order:
Reading and Writing (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.
Reading and Writing Section

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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 texts may be paired with informational graphics. Some of the selected
texts 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 text and/or
graph provided. (This section is not about coming up with anything; it’s
about finding the correct answer based on the text.) In the third and fourth
parts of each module, there will be questions focused on Writing skills.
Instead of asking you to analyze a text, 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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Want More?
For even more practice, check out SAT Level Up:
Verbal and SAT Level Up: Math.
Math Section
You will have a total of 70 minutes to complete the Math section, which, as
mentioned earlier, is divided into two modules (each with 22 questions in 35
minutes). Most questions are multiple-choice, but there are also a handful of
what College Board calls student-produced response questions, which we call
fill-ins. For fill-in questions, instead of choosing from four answer choices,
you’ll have to work through a question and then enter your answer on the
screen by typing in the appropriate numbers. We’ll discuss this in more detail
in Chapter 26. Approximately 11 of the 44 math questions will be fill-ins.
The Math section covers four main content areas, but not in this order:
1. Algebra (≈35%)
2. Advanced Math (≈35%)
3. Problem-Solving and Data Analysis (≈15%)
4. Geometry and Trigonometry (≈15%)
In contrast to the set order of the Reading and Writing topics, each Math
module will have questions in each of these content areas scattered
throughout but arranged in order of difficulty from the start of the module to
the end. Part III of this book covers each of these content areas in depth.
The Digital SAT has a built-in Desmos calculator that can be used on all
Math questions. In addition, students may bring their own approved
calculators if they prefer. A calculator will be a game-changer on some
questions and completely useless on others, so think about how to use it (or
not) as you work through Part III. Practice with the calculator you plan to use
on the actual test so you can take full advantage of this tool.
Is My Calculator Allowed?

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Not all calculators are permitted by College Board
for use on the SAT. To see the full College Board
calculator policy, visit
satsuite.collegeboard.org/digital/what-to-bring-
do/calculator-policy
There is one more thing to know about the make-up of the Digital SAT: test-
takers do not get the exact same test. In the days of paper-and-pencil SAT
tests, the practice of giving students all over the globe the same test form led
to issues with test security and possible cheating. With the switch to the
Digital SAT, College Board says the testing app will now “assemble” a test
for each student that is “unique.” So, while all students will see the same
concepts, they won’t all see the same questions to test those concepts.
Scoring on the Digital SAT
Scores from the Digital SAT will be reported in a matter of days, not weeks
as was the case with the paper-and-pencil test. Your score report for the
Digital SAT will feature scores for each of the following:
Total Score:
The sum of the two section scores (Reading and Writing, Math), ranging
from 400 to 1600
Section Scores:
1. Reading and Writing, ranging from 200 to 800
2. Math, also ranging from 200 to 800
As previously mentioned, there will be two questions in each module that are
experimental. College Board uses these to see how students answer them, but
they will not count toward your score. Unfortunately, they are not marked in
any way, so make sure to treat all questions as if they will be scored.
On the recent paper-and-pencil versions of the SAT, various subscores and
cross-test scores were reported in addition to the section and overall scores.
On the Digital SAT, only the scores listed above will be reported. This means

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that you will not be given any information on how you scored within specific
subject areas.
Unlock Premium Content!
Enhance your test prep with your Premium online
resources, like helpful week-by-week study guides.
Plus, use the “SAT Insider” to help navigate college
admissions, applications, financial aid, and more.
So how do the two modules work together to determine your score in a
section? Well, how you score on the first module determines whether you get
an Easier or Harder second module. If you are given the Easier second
module, you’ll find that more of the questions are within your ability to get
right, but there will be an upper limit to your score. If you get the Harder
second module, you’ll have the chance to score higher, but the questions in
the module will be more difficult to get right. Of course, if you get enough
questions correct in the first module to get the Harder second module, it’s
likely that the harder questions will be better suited to your abilities.
Some questions within a module are also weighted, so doing better on those
will increase your score more than doing well on easier, non-weighted

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questions. As such, your score is determined not only by how many questions
you got right but also by how hard those questions were. Although the
scoring curve on each Digital SAT may calculate your score slightly
differently, you will always have two jobs: understanding which questions
can maximize your score and building your stamina to stay sharp through
both modules in each section. Throughout this book, we will show you how
to do just that.
The following table summarizes the structure and scoring of the Digital SAT.
Category Digital SAT
Time
Overall
134 minutes plus 10-minute break
Components Reading and Writing section
Math section
Number of
Questions
Reading and Writing: 54, including 4 experimental
questions
Math: 44, including 4 experimental questions
Answer
Choices
Reading and Writing: all multiple-choice with 4 answers
per question
Math: 75% multiple-choice with 4 answers per question,
25% student-produced responses
Time by
Section
Reading and Writing: 64 minutes in two 32-minute
modules
Math: 70 minutes in two 35-minute modules
Relationship
Between
Modules
Module 1 has a broad mix of levels of difficulty.
Performance on Module 1 determines the difficulty of
Module 2.
Students who do well on Module 1 will get a Module 2
that is harder, on average.
Students who do less well on Module 1 will get a Module
2 that is easier, on average.
Scoring

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