50 AMC Lectures Problems

Prepare for the AMC 8, 10, and 12.

Contains over 500 problems with detailed solutions related to lectures from 50 AMC Lectures Books.

Entire pdf collection of 2 volumes: $45.99

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Volume 1

Chapter 1. Algebra Manipulations 1

Chapter 2. Radicals7

Chapter 3. Solving Radical Equations 26

Chapter 4. Absolute Values 36

Chapter 5. Solving Absolute Value Equations 48

Chapter 6. Vieta Theorem and Applications 53

Chapter 7. Square Numbers 62

Chapter 8. Divisibility 70

Chapter 9. Geometry Congruent Triangles 95

Chapter 10. Geometry Area and Area Method 109

Chapter 11. Geometry Eight Methods To Draw Auxiliary Lines122

Chapter 12. Trigonometry Six Functions 133

Chapter 13. Cubic Identities 139

Chapter 14. Arithmetic Sequence155

Chapter 15. How to Use the Discriminant162

Chapter 16. Completing the Square 170

Chapter 17. Analytic Geometry Distance and Lines 177

Chapter 18. Functional Equations 185

Chapter 19. Squeezing Method 191

Chapter 20. Nonegative Numbers 198

Chapter 21. Geometry Similar Triangles 210

Chapter 22. Geometry Angle Bisector And Median 223

Chapter 23. Geometry Eight More Methods To Draw Auxiliary Lines231

Chapter 24. Trigonometry Identities 238

Chapter 25. AM-GM Inequality 238

Index 249


Volume 2

Chapter 26. Counting1

Chapter 27. How to Solve Inequality Problems37

Chapter 28. Polynomial47

Chapter 29. Geometric Sequence58

Chapter 30. Binomial Theorem 70

Chapter 31. Gaussian Functions81

Chapter 32. Geometry Parallelograms91

Chapter 33. Logarithms99

Chapter 34. Word Problems (Distance And Speed)117

Chapter 35. Geometry Trapezoid130

Chapter 36. Substitution Method138

Chapter 37. Analytic Geometry Circles and Lines151

Chapter 38. Probability160

Chapter 39. System of Equations174

Chapter 40. Diophantine Equations181

Chapter 41. Geometry Circles193

Chapter 42. Geometry Menelaus and Ceva204

Chapter 43. Cauchy Inequality214

Chapter 44. Series and Sequences223

Chapter 45. Recursion Method232

Chapter 46. Analytic Geometry Hyperbola and Ellipse241

Chapter 47. Analytic Geometry Lines and Conic Curves251

Chapter 48. Congruences262

Chapter 49. Trigonometry Applications274

Chapter 50. Complex Numbers282

Index 290



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