Acing the New SAT Math - 3 Full-Length Practice Tests - Chapter Tests

Sep 14, 2026

Acing the New SAT Math by Thomas Hyun provides structured SAT Math preparation featuring part-based content review and extensive practice. It organizes learning into Math Review, Statistics and Data Analysis, Advanced Math, and Geometry, with chapter-level instruction covering key definitions, theorems, formulas, and recurring problem types. Each chapter includes targeted practice tests, followed by answers and explanations to reinforce understanding and improve test-day accuracy.

LanguageEnglish

CategoryExam

FormatPDF

Pages445

Reading Time18 h 41 min

AccessFree to download

Part A – Math Review

Heart of Algebra

Statistics and Data Analysis

Advanced Math

Geometry

Created for the New SAT Exam! 3 Full-Length Practice Tests | 20 Chapter Tests | | --- | | Definitions, Theorems, and Key Formulas | | Hundreds of Examples and
Exercises | *SAT is a registered trademark of the College Entrance Examination Board, which isnot affiliated with this book Acitheng New SAT Math PDF Acing the New SAT Math by Thomas Hyun GREENHALL PUBLISHING THOUSAND OAKS, CA Copyright © 2016 by Greenhall Publishing All rights reserved. No part of this book may be used or reproduced in any manner without the written permission of the publisher. This edition published by Greenhall Publishing Greenhall Publishing Thousand Oaks, CA 91358 [http:// greenhallpublishing.com](http:// greenhallpublishing.com) Written by Thomas Hyun Cover design by Hespenheide Design Printed in the United States of America ISBN-10: 0-9754753-6-3 ISBN-13: 978-0-9754753-6-2 SAT is a registered trademark of the College Entrance Examination Board, which is not affiliated with this book. To the Students vi Part A – Math Review I. Heart of Algebra Chapter 1 : The Language and Tools of Algebra 5 1-1 Variables and Expressions 5 1-2 Exponents and Order of Operations 7 1-3 Simplifying Algebraic Expressions 9 1-4 Rational, Irrational, and Decimal 11 Chapter 1 Practice Test 13 Answers and Explanations 15 Chapter 2 : Solving Linear Equations 19 2-1 Writing Equations 19 2-2 Solving Equations 21 2-3 Solving Equations with Variables on Both Sides 23 2-4 Equations with No Solution and Identity 25 2-5 Solving for a Specific Variable 27 Chapter 2 Practice Test 29 Answers and Explanations 31 Chapter 3 : Functionsand Linear Equations 37 3-1 Relations and Functions 37 3-2 Rate of Change and Slope 40 3-3 Slope-Intercept Form and Point-Slope Form 42 3-4 Parallel and Perpendicular Lines 44 3-5 Solving Systems of Linear Equations 46 3-6 Absolute Value Equations 50 Chapter 3 Practice Test 52 Answers and Explanations 54 Chapter 4 : Linear Inequalities and Graphs 61 4-1 Solving Inequalities 61 4-2 Compound and Absolute Value Inequalities 63 4-3 Graphing Inequalities in Two Variables 65 4-4 Graphing Systems of Inequalities 67 Chapter 4 Practice Test 69 Answers and Explanations 71 Chapter 5 : Word Problems in Real-Life Situation 77 5-1 Solving Word Problems Using Linear Models 77 5-2 Solving Word Problems with Equations 79 5-3 Solving Word Problems Using Systems of Equations 81 5-4 Solving Word Problems Using Inequalities 83 Chapter 5 Practice Test 85 Answers and Explanations 87 II. Statistics and Data Analysis Chapter 6 : Ratios, Rates, and Proportions 95 6-1 Ratios and Rates 95 6-2 Proportions 97 6-3 Ratios, Rates, and Proportions Word Problems 99 Chapter 6 Practice Test 101 Answers and Explanations 103 Chapter 7 : Percents 109 7-1 Percent of Change 109 7-2 Percents and Equations 111 7-3 Percent Word Problems 113 Chapter 7 Practice Test 115 Answers and Explanations 117 Chapter 8 : Statistics 121 8-1 Mean, Median, Mode, and Range 121 8-2 Standard Deviation 123 8-3 Graphical Displays 125 8-4 Scatter Plots 127 8-5 Populations, Samples, and Random Selection 129 Chapter 8 Practice Test 131 Answers and Explanations 133 Chapter 9 : Categorical Data and Probability 139 9-1 Permutations and Combinations 139 9-2 Rules of Probability 141 9-3 Categorical Data and Conditional Probabilities 143 Chapter 9 Practice Test 145 Answers and Explanations 147 III. Advanced Math Chapter 10 : Law of Exponents and Polynomials 153 10-1 Laws of Exponents and Scientific Notation 153 10-2 Adding, Subtracting, Multiplying, and Dividing Polynomials 156 10-3 FOIL Method and Special Products 159 10-4 Prime Factorization, GCF, and LCM 161 10-5 Factoring Using the Distributive Property 164 Chapter 10 Practice Test 166 Answers and Explanations 168 Chapter 11 : Quadratic Functions 173 11-1 Graphs of Quadratic Equ

FAQs

What topics are covered in the book’s math review section?

The math review focuses on algebra fundamentals, including variables and expressions, exponents and order of operations, simplifying expressions, and then moves through solving linear equations, functions, linear systems, inequalities, and word problems.

How does the book handle statistics and data analysis?

It covers ratios, rates, and proportions; percents; statistics concepts such as mean/median/mode and standard deviation; and categorical data with probability, supported by dedicated chapter practice tests and explanations.

Does the book include practice tests and answer explanations?

Yes. It includes 3 full-length practice tests and 20 chapter tests, and each practice test is followed by answers and explanations.

Sep 14, 2026

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