Table of Contents
Introduction
... [Show More] .................................................................................................................................... 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 [Show Less]