Gibilisco S. Everyday Math Demystified: A Self-Teaching Guide
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PART 2: FINDING UNKNOWNS 103
CHAPTER 5 Basic Algebra 105
Single-Variable Linear Equations 105
Two-by-Two Linear Equations 110
Quiz 116
CHAPTER 6 More Algebra 119
Quadratic Equations 119
Beyond Reality 129
One-Variable, Higher-Order Equations 133
Quiz 140
CHAPTER 7 A Statistics Sampler 143
Experiments and Variables 143
Populations and Samples 146
Distributions 149
More Definitions 154
Quiz 163
CHAPTER 8 Taking Chances 165
The Probability Fallacy 165
CONTENTS ix
Definitions 167
Properties of Outcomes 172
Permutations and Combinations 181
Quiz 184
Test: Part 2 187
PART 3: SHAPES AND PLACES 197
CHAPTER 9 Geometry on the Flats 199
Fundamental Rules 199
Triangles 208
Quadrilaterals 214
Circles and Ellipses 223
Quiz 226
CHAPTER 10 Geometry in Space 229
Points, Lines, and Planes 229
Straight-Edged Objects 235
Cones, Cylinders, and Spheres 240
Quiz 247
CONTENTS
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CHAPTER 11 Graphing It 250
The Cartesian Plane 250
Straight Lines in the Cartesian Plane 254
The Polar Coordinate Plane 260
Some Examples 263
Quiz 271
CHAPTER 12 A Taste of Trigonometry 274
More about Circles 274
Primary Circular Functions 277
Secondary Circular Functions 283
The Right Triangle Model 287
Pythagorean Extras 290
Quiz 292
Test: Part 3 295
PART 4: MATH IN SCIENCE 307
CHAPTER 13 Vectors and 3D 309
Vectors in the Cartesian Plane 309
Rectangular 3D Coordinates 313
CONTENTS xi
Vectors in Cartesian Three-Space 316
Flat Planes in Space 323
Straight Lines in Space 326
Quiz 330
CHAPTER 14 Growth and Decay 332
Growth by Addition 332
Growth by Multiplication 338
Exponential Functions 345
Rules for Exponentials 347
Logarithms 350
Rules for Logarithms 352
Graphs Based on Logarithms 355
Quiz 359
CHAPTER 15 How Things Move 362
Mass and Force 362
Displacement 367
Speed and Velocity 368
Acceleration 373
CONTENTS
xii
Momentum 378
Quiz 381
Test: Part 4 384
Final Exam 396
Answers to Quiz, Test, and
Exam Questions 424
Suggested Additional References 428
Index 431
CONTENTS xiii
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PREFACE
This book is for people who want to refine their math skills at the high-school
level. It can serve as a supplemental text in a classroom, tutored, or home-
schooling environment. It should also be useful for career changers
who want to refresh or augment their knowledge. I recommend that you
start at the beginning and complete a chapter a week. An hour or two
daily ought to be enough time for this. When you’re done, you can use
this book as a permanent reference.
This course has an abundance of practice quiz, test, and exam questions.
They are all multiple-choice, and are similar to the sorts of questions used
in standardized tests. There is a short quiz at the end of every chapter.
The quizzes are ‘‘open-book.’’ You may (and should) refer to the chapter
texts when taking them. When you think you’re ready, take the quiz,
write down your answers, and then give your answers to a friend. Have the
friend tell you your score, but not which questions you got wrong.
The answers are listed in the back of the book. Stick with a chapter until
you get most of the answers correct.
This book is divided into multi-chapter sections. At the end of each
section, there is a multiple-choice test. Take these tests when you’re done
with the respective sections and have taken all the chapter quizzes. The
section tests are ‘‘closed-book,’’ but the questions are easier than those in
the quizzes. A satisfactory score is 75% or more correct. Again, answers are
in the back of the book.
There is a final exam at the end of this course. It contains questions drawn
uniformly from all the chapters. A satisfactory score is at least 75% correct
answers. With the section tests and the final exam, as with the quizzes, have
a friend tell you your score without letting you know which questions
you missed. That way, you will not subconsciously memorize the answers.
You can check to see where your knowledge is strong and where it is not.
xv
Copyright © 2004 by The McGraw-Hill Companies, Inc. Click here for terms of use.
When you’re finished with this supplemental course, you’ll have an
advantage over your peers. You’ll have the edge when it comes to figuring
out solutions to problems in a variety of situations people encounter in
today’s technological world. You’ll understand the ‘‘why,’’ as well as the
‘‘what’’ and the ‘‘how.’’
Suggestions for future editions are welcome.
Stan Gibilisco
Acknowledgments
Illustrations in this book were generated with CorelDRAW. Some of the clip
art is courtesy of Corel Corporation.
I extend thanks to Emma Previato of Boston University, who helped with
the technical editing of the manuscript.
PREFACE
xvi
Copyright © 2004 by The McGraw-Hill Companies, Inc. Click here for terms of use.
Everyday Math Demystified
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