M M o r e Th O R E THA N 75 600

[Pages:678]2019 Edition

N

SAT

M

MOoRrEe THhAan

67050

LPeAs sGoEnS s

Study Guide

Lessons, Strategies, and Diagnostic Tests

475+ 650+

Pages

Full Practice

Practice Test

Questions

SAT? IS A REGISTERED TRADEMARK OF THE COLLEGE BOARD, INC., WHICH NEITHER SPONSORS NOR ENDORSES THIS PUBLICATION.

New SAT?Study Guide

LESSONS, STRATEGIES, AND DIAGNOSTIC TESTS STUDY GUIDE

VARSITY TUTORS St. Louis

Eric Forster

Editor-in-Chief

Laura Torp

Managing Editor

Kara Levis

Project Manager

Staff Editors

Aubtin Saedi Kalea Sebesta Armen Stromquist Melissa Sweeterman Joseph Ritchie Andrew Ockert

Data Manager

Kara Levis

Layout

Laura Torp

VARSITY TUTORS St. Louis

New SAT Study Guide: Lessons, Strategies, and Diagnostic Tests Copyright ? 2019 by Live Learning Technologies LLC

Published by Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105 Email: books@

All rights reserved. The text of this publication, or any part thereof, may not be reproduced in any manner whatsoever without written permission from the publisher. This prohibition includes storage in a retrieval system or transmission in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act.

ISBN-13: 978-1-944204-04-4

2019 Edition

LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: The publisher and the author make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation warranties of fitness for a particular purpose. no warranty may be created or extended by sales or promotional materials. the advice and strategies contained herein may not be suitable for every situation. this work is provided with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional services. if professional assistance is required, the services of a competent, professional person should be sought. neither the publisher nor the author shall be liable for damages arising herefrom.

Table of Contents

How to Use This Book

1

Introduction2

The New SAT: New Content, New Format

3

Scoring13

The Essay

18

Testing Tips

22

The SAT Reading Test

24

Review: SAT Reading

25

Review: Context, Connotation, Denotation, and Implication

26

Review: Close Reading

32

Information and Ideas

38

Deciphering Statements and Implications

39

Applying Inferences to New Scenarios

45

Citing Textual Evidence

53

Identifying Main Ideas and Themes

59

Summarizing and Paraphrasing

64

Deciphering Words and Phrases in Context

69

Interpreting Relationships in Context

77

Cause and Effect

78

Comparing and Contrasting

83

Sequence91

Rhetoric and Passage Construction

97

Stylistic Word Choice

98

Text Structure

108

Point of View

113

Purpose119

Claims, Evidence, and Reasoning

124

Synthesis131

Paired Passages

132

Quantitative Information

147

The SAT Writing and Language Test

159

Expression of Ideas

160

Content and Development

161

Modifying Proposition Statements

162

Improving Focus and Purpose

170

Quantitative Accuracy and Application

173

Organization and Structure

179

Logical Sequence

180

Introductions, Transitions, and Conclusions

187

Effective Language Use

193

Word Choice

194

Concision204

Tone and Style

209

Combining Sentences

216

Standard English Conventions

224

Sentence Structure

225

Complete and Incomplete Sentences

226

Coordination Between Clauses

234

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Parallel Structure

238

Modifier Placement

240

Verb Tense, Mood, and Voice

248

Conventions of Usage

258

Pronoun Choice

259

Homophones, Possessives, and Contractions

264

Agreement273

Logical Comparison

280

Conventions of Punctuation

285

Ending Sentence Punctuation

286

Internal Sentence Punctuation

288

Possessive Nouns and Pronouns

295

Items in Series

298

Nonrestrictive and Parenthetical Punctuation

305

The SAT Math Test

313

Review: SAT Math

314

Review: Given Equations

315

Review: Properties of Algebra

338

Review: Approaching Word Problems

342

Introductory Algebra

353

Absolute Value

354

Linear Equations and Inequalities

356

Systems of Linear Equations and Inequalities

365

Properties of Linear Graphs

372

Advanced Algebra

377

Simplifying, Expanding, and Rewriting Polynomial Expressions

378

Quadratic Functions and Equations

387

Exponential Expressions, Functions, Equations and Radicals

394

Rational Equations and Expressions

405

Systems of Equations

411

Function Notation

415

Graphing Algebraic Functions

418

Graphing Circles

429

Complex Equations in Context

432

Analytics and Problem Solving

441

Introductory Statistics

442

Modeling Data: Equations, Graphs, Scatter Plots, and Tables

451

Conversions: Units, Ratios, Proportions, and Percentage

458

Probability466

Additional Topics and Geometry

475

Geometry476

Lines and Angles

477

Length and Midpoint

478

Angles, Parallel Lines, and Perpendicular Lines

484

Triangles, Circles, and Polygons

495

Defining Polygons

496

Introduction to Right Triangles

503

Congruent Figures and Similar Figures

509

Quadrilaterals513

Circles518

Three-Dimensional Geometry

528

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Trigonometry and Radians

542

Trigonometric Operations

543

Degrees, Radians, and the Unit Circle

548

Trigonometric Identities

553

Other Concepts

554

Complex Numbers

555

The New SAT Essay

557

SAT Essay: Reading

560

SAT Essay: Analysis

562

SAT Essay: Writing

564

Sample Prompt and Essay Response

565

Full-Length SAT Practice Test

568

Reading Test

569

Writing and Language Test

586

Math Test - No Calculator

606

Math Test - Calculator

613

Essay Section

624

Answer Key: Reading Test

626

Answer Key: Writing and Language Test

638

Answer Key: Math Test - No Calculator

649

Answer Key: Math Test - Calculator

654

Scoring Your Full-Length SAT Practice Test

665

Contact Us: (866) 383-6136 practice-tests

Table of Contents

1

How to Use This Book

Welcome to Varsity Tutors' 2016 New SAT Study Guide: Lessons, Strategies, and Diagnostic Tests. We hope that you'll find the lessons contained herein useful for improving your scores on the new SAT, which can help you get into the college or university of your choice.

While you will find some advice for test-taking in this book, its primary focus is skills-based. In other words, if you can learn how to do the math or how to read passages effectively, just to name two specific examples, you'll do better on the test. Being able to apply your skills in a timely fashion is the main consideration in approaching the SAT as a test, but the skills you learn and use are broadly applicable, and will help you succeed in college. What that means for you is that we're not trying to sell you on a proprietary "method" or some made-up approach. This book is designed to teach you the skills you don't know and remind you of the skills you have, but may have forgotten.

This is an e-book, and the version of this book you are reading is a PDF, which is a feature-rich format. It may be available in other e-formats, like as an iBook or on Kindle, so be sure to check for availability on your preferred device.

In this book, you will find things that are familiar to you from other books, both of the physical and the electronic variety, but you may come across some features you haven't seen before. We're striving to push the electronic format in ways that are useful to you, our reader, while maintaining a recognizable and clean layout.

The first thing you might notice is that this book is heavily linked to itself. If you browse the Table of Contents, you'll see that its entries serve as active links that can get you to other parts of this book quickly and accurately. These links are not always perfectly obvious, so you should always try hovering your mouse over anything that might interest you, in order to see if you can click on it.

We have formatted links in a blue italicized font. Try clicking the following link:

This is an example of a link. This link takes you back to the Table of Contents.

As you go through this book, another thing you may notice are various blue boxes that prompt you to see the solutions to problems or give you a walkthrough of a reading passage. When you hover over these boxes, you'll see more text or graphics appear on the page in front of you. If you click on these buttons, you will make the text or graphics persistent, so you can scroll around the page as you will. If you want the text or graphics to disappear again, just click the button.

X Incorrect answers are displayed with an "x" [ ] next to them, so that you can

immediately comprehend that they are answers to be avoided. Correct answers will appear with an arrow [ ] next to them.

It's a big book, and there's a lot to cover: explore and have fun. We certainly had fun writing this for you!

- The Learning Tools Team

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