PWN the SAT® Math Guide

Table of Contents Introduction .................................................................................................................................... 1 How to Use This Book ............................................................................................................... 3 General Test Strategies .............................................................................................................. 9 Miscellaneous Things You Must Know ................................................................................... 16 Techniques .................................................................................................................................... 22 Plugging in ............................................................................................................................... 23 Backsolving ............................................................................................................................. 31 Interlude: Look for Trends ............................................................................................................ 40 Heart of Algebra ........................................................................................................................... 42 Translating between Words and Math ..................................................................................... .43 Algebraic Manipulation ........................................................................................................... 51 Solving Systems of Linear Equations ...................................................................................... 58 Lines ........................................................................................................................................ 72 Absolute Value ......................................................................................................................... 81 Passport to Advanced Math ........................................................................................................... 90 Functions ................................................................................................................................. 91 Exponents and Exponential Functions ................................................................................... 103 Quadratics .............................................................................................................................. 113 Binomial Squares and Difference of Two Squares ................................................................. 122 Parabolas ................................................................................................................................ 127 Polynomials ........................................................................................................................... 141 Working with Advanced Systems of Equations ...................................................................... 151 Problem Solving and Data Analysis ............................................................................................ 159 Percents and Percent Change ................................................................................................. 160 Ratios and Proportionality ..................................................................................................... 170 Measures of Central Tendency and Variability ....................................................................... 181 Data Analysis 1: Graphs and Tables ....................................................................................... 194 Data Analysis 2: Histograms and Scatterplots ........................................................................ 202 Designing and Interpreting Experiments and Studies ............................................................ 220 Interlude: Be Nimble ................................................................................................................... 229 Additional Topics in Math .......................................................................................................... 231 Angles, Triangles, and Polygons ............................................................................................ 232 Right Triangles and Basic Trigonometry ................................................................................ 245 Circles, Radians, and a Little More Trigonometry ................................................................. 254 Working in Three Dimensions ............................................................................................... 275 Complex Numbers ................................................................................................................. 288 Solutions ..................................................................................................................................... 300 Official Test Breakdown ............................................................................................................. 3 54 Test 1 ..................................................................................................................................... 355 Test 2 ..................................................................................................................................... 356 Test 3 ..................................................................................................................................... 357 Test 4 ..................................................................................................................................... 358 Test 5 ..................................................................................................................................... 359 Test 6 ..................................................................................................................................... 360 PSAT/NMSQT Test 1 ............................................................................................................. 361