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Description
PART I: REAL NUMBERS. 1. Data in Tables 1. 2. Data in Tables 2. 3. The Real Number System. 4. Solving Problems. 5. Operations with Real Numbers. PART II: RADICALS. 6. Rational Exponents. 7. Simplifying Radical Expressions. 8. Multiplying and Dividing Radical Expressions. PART III: LINEAR EQUATIONS. 9. Simplifying Algebraic Expressions. 10. Solving Linear Equations and Formulas. 11. Applications of Equations. 12. The Rectangular Coordinate System. PART IV: POLYNOMIALS AND FACTORING. 13. Multiplying Polynomials. 14. The Greatest Common Factor and Factoring by Grouping. 15. Factoring Trinomials and Difference of Squares. 16. Sum and Difference of Two Cubes. 17. Dividing Polynomials by Binomials. PART V: RATIONAL EXPRESSIONS. 18. Rational Expressions: Finding Equivalent Forms. 19. Non-permissible Values. 20. Multiplying and Dividing Rational Expressions. 21. Adding and Subtracting Rational Expressions. 22. Solving Rational Equations. PART VI: RELATIONS AND FUNCTIONS. 23. Differences Between Relations & Functions. 24. Describing Functions. 25. Function Notation. 26. Domain and Range of Relations. PART VII: LINEAR FUNCTIONS. 27. Linear Functions. 28. Direct & Partial Variations. 29. Rate of Change and Slope of a Line. 30. Determining the Equation of a Line. 31. Parallel and Perpendicular Lines. PART VIII: LINEAR SYSTEMS. 32. Solving Linear Systems by Graphing. 33. Solving Linear Systems by Elimination. 34. Solving Three Equations in Three Variables. 35. Solving Linear Systems by Matrices. 36. Solving Linear Systems by Determinants. 37. Solving Systems of Linear Inequalities. 38. Linear Programming. PART IX: FUNCTIONS. 39. Functions and Operations. 40. Inverse Functions. 41. Graphs of Quadratic Functions. 42. Completing the Square. 43. Translations of Quadratic Functions. 44. Circles. PART X: QUADRATICS EQUATIONS. 45. Solving Quadratics by Graphing. 46. Solving Quadratics by Factoring. 47. Complex Numbers. 48. The Quadratic Formula. 49. Using Discriminants and Graphs. PART XI: THE FUNDAMENTAL THEOREM OF ALGEBRA. 50. Graphing Polynomial Functions. 51. The Fundamental Theorem of Algebra. 52. Classification of Roots. 53. Graphing Rational Functions. PART XII: SOLVING EQUATIONS. 54. Absolute Value Equations. 55. Radical Equations. 56. Rational Equations. 57. Rational Inequalities 1. 58. Rational Inequalities 2. 59. Complex Fractions. PART XIII: EXPONENTIAL AND LOGARITHMIC FUNCTIONS. 60. Exponential Equations. 61. Graphing Exponential Functions. 62. Exponential Functions. 63. Properties of Logarithms. 64. Logarithmic Equations. 65. Graphing Logarithmic Functions. 66. Applications of Logarithms. 67. Base-e Exponential Functions. 68. Base-e Logarithms.