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411 SAT Algebra & Geometry Questions PDF

176 Pages·2008·3.22 MB·English
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Preview 411 SAT Algebra & Geometry Questions

411 SAT ALGEBRA AND GEOMETRY QUESTIONS 411 SAT ALGEBRA AND GEOMETRY QUESTIONS ® N E W Y O R K Copyright © 2006 LearningExpress,LLC. All rights reserved under International and Pan-American Copyright Conventions. Published in the United States by LearningExpress,LLC.,New York. Library ofCongress Cataloging-in-Publication Data: 411 SAT algebra and geometry questions. p.cm. ISBN1-57685-560-0 1.Algebra—Examinations,questions,etc. 2.Geometry—Examinations,questions,etc. 3.SAT(Educational test)—Study guides. I.LearningExpress (Organization). II.Title:Four hundred eleven SATalgebra and geometry questions. QA157.A14 2006 512.0076—dc22 2006005374 Printed in the United States ofAmerica 9 8 7 6 5 4 3 2 1 ISBN 1-57685-560-0 For information on LearningExpress,other LearningExpress products,or bulk sales,please write to us at: LearningExpress 55 Broadway 8th Floor New York,NY 10006 Or visit us at: www.learnatest.com Contents INTRODUCTION 1 PRETEST 5 CHAPTER 1 Algebraic Expressions 13 CHAPTER 2 Solving Equations and Inequalities 19 CHAPTER 3 Quadratic Expressions and Equations 25 CHAPTER 4 Factoring and Multiplying Polynomials 33 CHAPTER 5 Radicals and Exponents 37 CHAPTER 6 Sequences 45 CHAPTER 7 Systems ofEquations 49 CHAPTER 8 Functions,Domain,and Range 55 CHAPTER 9 Angles 63 CHAPTER 10 Triangles 71 CHAPTER 11 Right Triangles 77 CHAPTER 12 Polygons 85 CHAPTER 13 Quadrilaterals 89 CHAPTER 14 Area and Volume 93 v –CONTENTS– CHAPTER 15 Circles 99 CHAPTER 16 Coordinate Geometry 107 POSTTEST 113 ANSWERS 121 vi 411 SAT ALGEBRA AND GEOMETRY QUESTIONS Introduction I hate math.”“Math is my worst subject.”“I’ll never understand math—it’s too hard.” So many people approach math with an attitude that dooms them to failure before they even get started. Your approach to math,or any subject,can make all the difference in the world.With the majority ofSAT math questions involving algebra or geometry,this book is designed not only to give you the algebra and geom- etry skills you need for the exam,but also to provide you with the confidence you require to score highly on theexam. You can’t study every possible word that may appear on the verbal portion ofthe SAT.No such list even exists. However,all ofthe math skills that you will encounter on the math portion ofthe SAT are known,and the most common ofthem are in this book.In this respect,it’s actually easier to study for the math sections ofthe SAT than the verbal sections. This book trains you for the SAT with 411 math questions.Every question can be solved using the skills described in the following 16 chapters,and every answer is explained.Ifan explanation doesn’t make sense,review the related material in the chapter,and then try the question again. Don’t get discouraged.Use these chapters to gain an understanding ofthe algebra and geometry that’s given you trouble in the past.With time and practice,you’ll become comfortable with math and enter the SAT with con- fidence,believing you are prepared for any question. 1 –INTRODUCTION– (cid:2) An Overview of This Book This book is divided into an algebra section and a geometry section,each comprised ofeight chapters,plus a pretest and a posttest.The tests are made up ofonly algebra and geometry questions.Use the pretest to identify the top- ics in which you need improvement.Use the posttest to help you identify which topics you may need to review again.The first eight chapters focus on algebra skills: Chapter 1:Algebraic Expressions Understand the parts ofalgebraic expressions,combine like and unlike terms,evaluate expressions using sub- stitution,and evaluate one variable in terms ofanother. Chapter 2:Solving Equations and Inequalities Use basic arithmetic and cross multiplication to solve single- and multi-step equations,find the values that make an expression undefined,and form algebraic equations from word problems. Chapter 3:Quadratic Expressions and Equations Multiply binomials,factor and solve quadratic equations,and analyze the graphs ofquadratic equations. Chapter 4:Factoring and Multiplying Polynomials Multiply,factor,and find the roots ofpolynomials. Chapter 5:Radicals and Exponents Add,subtract,multiply,divide,and simplify radicals and terms with exponents;rationalize denominators and solve equations with radicals.Work with negative and fractional exponents,and raise exponents to exponents. Chapter 6:Sequences Solve arithmetic,geometric,and combination sequences for the next or missing term. Chapter 7:Systems ofEquations Solve systems oftwo equations with two variables using substitution and combination. Chapter 8:Functions,Domain,and Range Determine ifan equation is a function using the vertical line test,find the domain and range offunctions,solve nested functions and evaluate functions with newly defined symbols. The last eight chapters focus on geometry skills: Chapter 9:Angles Recognize and use the properties ofacute,obtuse,right,straight,complementary,supplementary,vertical,and alternating angles. 2

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math questions involving algebra or geometry, this book is designed not only to give you This book trains you for the SAT with 411 math questions.
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