Everything You Need to Ace Math in One Big Fat Notebook

530 Pages·157.247 MB·English

by  Workman Publishing

MATH
Copyright © 2016 by Workman Publishing Co., Inc.
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Library of Congress Cataloging-in-Publication Data is available.
ISBN 978-1-5235-0440-4
Writer Altair Peterson Illustrator Chris Pearce
Series Designer Tim Hall Designers Gordon Whiteside, Abby Dening
Art Director Colleen AF Venable
Editor Nathalie Le Du Production Editor Jessica Rozler
Production Manager Julie Primavera
Concept by Raquel Jaramillo
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WORKMAN, BRAIN QUEST, and BIG FAT NOTE-BOOK are registered trademarks
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Printed in China
First printing August 2016
15 14 13 12 11 10 9 8 7
the complete middle school study guide
MATH
Borrowed from the smartest kid in class
Double-checked by OUIDA NEWTON
WORKMAN PUBLISHING
NEW YORK
EVERYTHING YOU NEED TO KNOW TO ACE
MATH
HI!

These are the notes from my math class.
Oh, who am I? Well, some people said I was the
smartest kid in class.
MATH
I wrote everything you need to ace , from
FRACTIONS to the COORDINATE PLANE,
and only the really important stuff in between-
you know, the stuff that’s usually on the test!
1
-
2
I tried to keep everything organized, so I almost always:
• YELLOW
Highlight vocabulary words in .
• green highlighter.
Color in definitions in
•
Use BLUE PEN for important people,
MMM...PIE
places, dates, and terms.
•
Doodle a pretty sweet pie chart and
whatnot to visually show the big ideas.
If you're not loving your textbook and ZZZ...WHAT?
you’re not so great at taking notes in class,
this notebook will help. It hits all the major
points. (But if your teacher spends a whole
class talking about something that’s not
covered, go ahead and write that down for yourself.)
YOURS
Now that I’ve aced math, this notebook is .
I’m done with it, so this notebook’s purpose in life is
YOU
to help learn and remember just what
YOUR
you need to ace math class.
CONTENTS
The NUMBER SYSTEM
Unit 1: 1
1. Types of Numbers and the Number Line 2
2. Positive and Negative Numbers 11
3. Absolute Value 19
4. Factors and Greatest Common Factor 25
5. Multiples and Least Common Multiple 33
6. F raction Basics: Types of Fractions, and Adding and
Subtracting Fractions 39
7. Multiplying and Dividing Fractions 49
8. A dding and Subtracting Decimals 55
9. Multiplying Decimals 57
10. Dividing Decimals 61
11. Adding Positive and Negative Numbers 65
12. S ubtracting Positive and Negative Numbers 71
13. Multiplying and Dividing Positive and Negative Numbers 75
14. Inequalities 79
RATIOS, PROPORTIONS, and
Unit 2:
PERCENTS
85
15. R atios 86
16. Unit Rate and Unit Price 91
17. Proportions 95
18. Converting Measurements 103
19. Percent 111
20. Percent Word Problems 117
21. Taxes and Fees 123
22. Discounts and Markups 131
23. Gratuity and Commission 143
24. Simple Interest 147
25. Percent Rate of Change 155
26. Tables and Ratios 159
EXPRESSIONS and EQUATIONS
Unit 3: 165
27. Expressions 166
28. Properties 173
29. Like Terms 183
30. Exponents 189
31. Order of Operations 197
32. Scientific Notation 203
33. Square and Cube Roots 209
34. Comparing Irrational Numbers 215
35. Equations 219
36. Solving for Variables 225
37. Solving Multistep Equations 231
38. Solving and Graphing Inequalities 237
39. Word Problems with Equations and Inequalities 243
GEOMETRY
Unit 4: 251
40. Introduction to Geometry 252
41. Angles 267
42. Quadrilaterals and Area 277
43. Triangles and Area 287
44. The Pythagorean Theorem 295
45. Circles, Circumference, and Area 301
46. Three-Dimensional Figures 309
47. Volume 318
48. Surface Area 327
49. Angles, Triangles, and Transversal Lines 337
50. Similar Figures and Scale Drawings 345