Barron's SAT Math Workbook - Educational materials

 Dedication

To Rhona:

For the understanding, for the sacrifices, and for the love

? Copyright 2016, 2012, 2009, 2005, 2000, and 1996 by Barron's Educational Series, Inc.

All rights reserved.

No part of this publication may be reproduced or distributed in any form or by any means without the written permission of the copyright owner.

All inquiries should be addressed to: Barron's Educational Series, Inc. 250 Wireless Boulevard Hauppauge, New York 11788 barronse

eISBN: 978-1-4380-6811-4 Publication date: June, 2016

Contents

Pre face

LEARNING ABOUT SAT MATH

1 Know What You're Up Against

Lesson 1-1 Lesson 1-2 Lesson 1-3

Getting Acquainted with the Redesigned SAT Multiple-Choice Questions Grid-In Questions

2 SAT Math Strategies

Lesson 2-1 SAT Math Strategies You Need to Know Lesson 2-2 Guessing and Calculators on the SAT

THE FOUR MATHEMATICS CONTENT AREAS

3 Heart of Algebra

Lesson 3-1 Lesson 3-2 Lesson 3-3 Lesson 3-4 Lesson 3-5 Lesson 3-6 Lesson 3-7 Lesson 3-8 Lesson 3-9 Lesson 3-10 Lesson 3-11 Lesson 3-12

Some Beginning Math Facts Solving Linear Equations Equations with More Than One Variable Polynomials and Algebraic Fractions Factoring Quadratic Equations Systems of Equations Algebraic Inequalities Absolute Value Equations and Inequalities Graphing in the xy-Plane Graphing Linear Systems Working with Functions

4 Problem Solving and Data Analysis

Lesson 4-1 Lesson 4-2 Lesson 4-3 Lesson 4-4 Lesson 4-5 Lesson 4-6 Lesson 4-7 Lesson 4-8

Working with Percent Ratio and Variation Rate Problems Converting Units of Measurement Linear and Exponential Functions Graphs and Tables Scatterplots and Sampling Summarizing Data Using Statistics

5 Passport To Advanced Math

Lesson 5-1 Lesson 5-2 Lesson 5-3 Lesson 5-4 Lesson 5-5 Lesson 5-6

Rational Exponents More Advanced Algebraic Methods Complex Numbers Completing The Square The Parabola and Its Equations Reflecting and Translating Function Graphs

6 Additional Topics in Math

Lesson 6-1 Lesson 6-2 Lesson 6-3 Lesson 6-4 Lesson 6-5 Lesson 6-6

Reviewing Basic Geometry Facts Area of Plane Figures Circles and Their Equations Solid Figures Basic Trigonometry The Unit Circle

TAKING PRACTICE TESTS

Practice Test 1

Practice Test 2

How to Evaluate Your Performance on a Practice Test

SOLUTIONS FOR TUNE-UP EXERCISES AND PRACTICE TESTS

Worked out solutions for Chapters 3?6 Answer Explanations for Practice Test 1 Answer Explanations for Practice Test 2

Preface

T his new edition of the Barron's SAT Math Workbook is based on the redesigned 2016 SAT. It is organized around a simple, easy-to-follow, and proven four-step study plan:

STEP 1. Know what to expect on test day. STEP 2. Become testwise. STEP 3. Review SAT Math topics and SAT-type questions. STEP 4. Take practice exams under test conditions.

STEP 1 KNOW WHAT TO EXPECT ON TEST DAY

Chapter 1 gets you familiar with the format of the test, types of math questions, and special directions that will appear on the SAT you will take. This information will save you valuable testing time when you take the SAT. It will also help build your confidence and prevent errors that may arise from not understanding the directions on test day.

STEP 2 BECOME TESTWISE

By paying attention to the test-taking tips and SAT Math facts that are strategically placed throughout the book, you will improve your speed and accuracy, which will lead to higher test scores. Chapter 2 is a critically important chapter that discusses essential SAT Math strategies while also introducing some of the newer math topics that are tested by the redesigned SAT.

STEP 3 REVIEW SAT MATH TOPICS AND SAT-TYPE QUESTIONS

The SAT test redesigned for 2016 and beyond places greater emphasis on your knowing the topics that matter most from your college preparatory high school mathematics courses. Chapters 3 to 6 serve as a math refresher of the mathematics you are expected to know and are organized around the four key SAT Math content areas: Heart of Algebra, Problem Solving and Data Analysis, Passport to Advanced Math, and Additional Topics in Math (geometric and trigonometric relationships). These chapters also feature a large number and variety of SAT-type math questions organized by lesson topic. The easy-to-follow topic and lesson organization makes this book ideal for either independent study or use in a formal SAT preparation class. Answers and worked-out solutions are provided for all practice problems and sample tests.

STEP 4 TAKE PRACTICE EXAMS UNDER TEST CONDITIONS

Practice makes perfect! At the end of the book, you will find two full-length SAT Math practice tests with answer keys and detailed explanations of answers. Taking these exams under test conditions will help you better manage your time when you take the actual test. It will also help you identify and correct any remaining weak spots in your test preparation.

Lawrence S. Leff

Welcome to Barron's Math Workbook for the NEW SAT e-Book version!

Please note that depending on what device you are using to view this e-Book on, equations, graphs, tables, and other types of illustrations will look differently than it appears in the print book. Please adjust your device accordingly. This e-Book contains hundreds of hyper links that will bring you to helpful resources and allow you to click between questions and answers.

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