Preface.....................................................................................................................................iii
LEARNING ABOUT SAT MATH
1 Know What You’re Up Against..........................................................................................3
Lesson 1-1 GettingAcquainted with the Redesigned SAT......................................................4
Lesson 1-2Multiple-Choice Questions....................................................................................9
Lesson 1-3 Grid-InQuestions..................................................................................................14
2 SAT Math Strategies ...........................................................................................................21
Lesson 2-1 SAT MathStrategies You Need to Know.............................................................22
Lesson 2-2 Guessingand Calculators on the SAT...................................................................71
THE FOUR MATHEMATICS CONTENT AREAS
3 Heart of Algebra..................................................................................................................81
Lesson 3-1 SomeBeginning Math Facts.................................................................................82
Lesson 3-2 SolvingLinear Equations......................................................................................91
Lesson 3-3Equations with More Than One Variable.............................................................100
Lesson 3-4Polynomials and Algebraic Fractions...................................................................106
Lesson 3-5Factoring................................................................................................................114
Lesson 3-6 QuadraticEquations..............................................................................................122
Lesson 3-7 Systemsof Equations............................................................................................127
Lesson 3-8 AlgebraicInequalities...........................................................................................138
Lesson 3-9 AbsoluteValue Equations and Inequalities..........................................................144
Lesson 3-10Graphing in the xy-Plane....................................................................................149
Lesson 3-11Graphing Linear Systems...................................................................................168
Lesson 3-12 Workingwith Functions.....................................................................................177
Answer Key forChapter 3 Tune-Up Exercises......................................................................189
4 Problem Solving and Data Analysis .................................................................................193
Lesson 4-1 Workingwith Percent..........................................................................................194
Lesson 4-2 Ratioand Variation ..............................................................................................200
Lesson 4-3 RateProblems......................................................................................................209
Lesson 4-4Converting Units of Measurement .......................................................................215
Lesson 4-5 Linearand Exponential Functions........................................................................220
Lesson 4-6 Graphsand Tables ................................................................................................234
Lesson 4-7Scatterplots and Sampling....................................................................................245
Lesson 4-8Summarizing Data Using Statistics ......................................................................253
Answer Key forChapter 4 Tune-Up Exercises......................................................................261
5 Passport To Advanced Math............................................................................................263
Lesson 5-1 RationalExponents.............................................................................................264
Lesson 5-2 MoreAdvanced Algebraic Methods ...................................................................270
Lesson 5-3 ComplexNumbers..............................................................................................280
Lesson 5-4Completing The Square......................................................................................285
Lesson 5-5 TheParabola and Its Equations..........................................................................292
Lesson 5-6 Reflectingand Translating Function Graphs......................................................305
Answer Key forChapter 5 Tune-Up Exercises.....................................................................316
6 Additional Topics in Math ..............................................................................................317
Lesson 6-1Reviewing Basic GeometryFacts.......................................................................318
Lesson 6-2 Area ofPlane Figure...........................................................................................328
Lesson 6-3 Circlesand Their Equations...............................................................................339
Lesson 6-4 SolidFigures.......................................................................................................355
Lesson 6-5 BasicTrigonometry...........................................................................................365
Lesson 6-6 The UnitCircle ...................................................................................................377
Answer Key forChapter 6 Tune-Up Exercises....................................................................386
SOLUTIONS FOR TUNE-UP EXERCISES
Worked outsolutions for Chapters 3–6.................................................................................391
TAKING PRACTICE TESTS
Practice Test 1......................................................................................................................483
Answer Key ...........................................................................................................................506
Answer Explanationsfor Practice Test1..............................................................................508
Practice Test 2......................................................................................................................521
Answer Key...........................................................................................................................545
Answer Explanationsfor Practice Test2...............................................................................547
How to Evaluate Your Performance on a Practice Test...................................................559
