Table of Content
CONTENTS Unit 1: The Number System 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. Fraction Basics: Types of Fractions, and Adding and Subtracting Fractions 39 7. Multiplying and Dividing Fractions 49 8. Adding and Subtracting Decimals 55 9. Multiplying 57 10. Dividing Decimals 61 11. Adding Positive and Negative Numbers 65 12. Subtracting Positive and Negative Numbers 71 13. Multiplying and Dividing Positive and Negative Numbers 75 14. Inequalities 79 Unit 2: RATIOS, PROPORTIONS, and PERCENTS 85 15. Ratios 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 Unit 3: EXPRESSIONS and EQUATIONS 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 Unit 4: GEOMETRY 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 Unit 5: STATISTICS and PROBABILITY 355 51. Introduction to Statistics 356 52. Measures of Central Tendency and Variation 365 53. Displaying Data 375 54. Probability 395 UNIT 6: The COORDINATE PLANE and FUNCTIONS 405 55. The Coordinate Plane 406 56. Relations, Lines, and Functions 417 57. Slope 431 58. Linear Equations and Functions 446 59. Simultaneous Linear Equations and Functions 456 60. Nonlinear Functions 468 61. Polygons and the Coordinate Plane 480 62. Transformations 487 63. Proportional Relationships and Graphs 508
