Preface .....................................................................................................................................iii
LEARNING ABOUT SAT MATH 1 Know What You’re Up Against ..........................................................................................3 Lesson 1-1 Getting Acquainted with the Redesigned SAT ......................................................4 Lesson 1-2 Multiple-Choice Questions ....................................................................................9 Lesson 1-3 Grid-In Questions ..................................................................................................14
2 SAT Math Strategies ...........................................................................................................21 Lesson 2-1 SAT Math Strategies You Need to Know .............................................................22 Lesson 2-2 Guessing and Calculators on the SAT ...................................................................71
THE FOUR MATHEMATICS CONTENT AREAS 3 Heart of Algebra..................................................................................................................81 Lesson 3-1 Some Beginning Math Facts .................................................................................82 Lesson 3-2 Solving Linear Equations ......................................................................................91 Lesson 3-3 Equations with More Than One Variable .............................................................100 Lesson 3-4 Polynomials and Algebraic Fractions ...................................................................106 Lesson 3-5 Factoring................................................................................................................114 Lesson 3-6 Quadratic Equations..............................................................................................122 Lesson 3-7 Systems of Equations ............................................................................................127 Lesson 3-8 Algebraic Inequalities ...........................................................................................138 Lesson 3-9 Absolute Value Equations and Inequalities ..........................................................144 Lesson 3-10 Graphing in the xy-Plane ....................................................................................149 Lesson 3-11 Graphing Linear Systems ...................................................................................168 Lesson 3-12 Working with Functions .....................................................................................177 Answer Key for Chapter 3 Tune-Up Exercises ......................................................................189
4 Problem Solving and Data Analysis .................................................................................193 Lesson 4-1 Working with Percent ..........................................................................................194 Lesson 4-2 Ratio and Variation ..............................................................................................200 Lesson 4-3 Rate Problems ......................................................................................................209 Lesson 4-4 Converting Units of Measurement .......................................................................215 Lesson 4-5 Linear and Exponential Functions ........................................................................220 Lesson 4-6 Graphs and Tables ................................................................................................234 Lesson 4-7 Scatterplots and Sampling ....................................................................................245 Lesson 4-8 Summarizing Data Using Statistics ......................................................................253 Answer Key for Chapter 4 Tune-Up Exercises ......................................................................261
5 Passport To Advanced Math ............................................................................................263 Lesson 5-1 Rational Exponents .............................................................................................264 Lesson 5-2 More Advanced Algebraic Methods ...................................................................270 Lesson 5-3 Complex Numbers ..............................................................................................280 Lesson 5-4 Completing The Square ......................................................................................285 Lesson 5-5 The Parabola and Its Equations ..........................................................................292 Lesson 5-6 Reflecting and Translating Function Graphs ......................................................305 Answer Key for Chapter 5 Tune-Up Exercises .....................................................................316
6 Additional Topics in Math ..............................................................................................317 Lesson 6-1 Reviewing Basic Geometry Facts.......................................................................318 Lesson 6-2 Area of Plane Figure...........................................................................................328 Lesson 6-3 Circles and Their Equations ...............................................................................339 Lesson 6-4 Solid Figures.......................................................................................................355 Lesson 6-5 Basic Trigonometry ...........................................................................................365 Lesson 6-6 The Unit Circle ...................................................................................................377 Answer Key for Chapter 6 Tune-Up Exercises ....................................................................386 SOLUTIONS FOR TUNE-UP EXERCISES Worked out solutions for Chapters 3–6.................................................................................391
TAKING PRACTICE TESTS Practice Test 1......................................................................................................................483 Answer Key ...........................................................................................................................506 Answer Explanations for Practice Test 1..............................................................................508 Practice Test 2......................................................................................................................521 Answer Key ...........................................................................................................................545 Answer Explanations for Practice Test 2...............................................................................547 How to Evaluate Your Performance on a Practice Test...................................................559