Life of Fred Advanced Algebra & Home Companion

Lesson s

• 1 Ratios, Median Averages, Proportions
• 2 Solving Proportions by Cross-Multiplying
• 3 Constants of Proportionality
• 4 Inverse Variation
• 5 End of the Chapter -- Review and Testing Part One
• 6 End of the Chapter - Review and Testing Part Two
• 7 End of the Chapter - Review and Testing Part Three
• 8 Rules of Exponents
• 9 Rationalizing the Denonminator
• 10 Solving Radical Equations, Extraneous Roots
• 11 Surface Area of a Cone
• 12 The Complete History of Mathematics (almost)
• 13 The Mass of Moving Objects or A Ten-Ton Nickel
• 14 End of the Chapter - Review and Testing Part One
• 15 End of the Chapter - Review and Testing Part Two
• 16 End of the Chapter - Review and Testing Part Three
• 17 Venn Diagrams, Disjoint Sets, Union and Intersection of Sets
• 18 Subsets, Using Venn Diagrams in Counting Problems
• 19 Significant Digits
• 20 Setting Up Exponential Equations
• 21 Solving Exponential Equations
• 22 Product and Quotient Rules for Logs
• 23 Finding Anti-logs
• 24 First Definition of Logarithm
• 25 Second Definition of Logarithm, The Change of Base Rule
• 26 Third Definition of Logarithm, Logical Implication
• 27 End of the Chapter - Review and Testing Part One
• 28 End of the Chapter - Review and Testing Part Two
• 29 End of the Chapter - Review and Testing Part Three
• 30 Graphing by Point-Plotting
• 31 Glossary of Graphing Terms
• 32 Slope
• 33 Finding the Slope Given Two Points
• 34 Slope-intercept and Double-intercept Forms of the Line
• 35 Point-slope and Two-point Forms of the Line
• 36 Perpendicular Lines Have Slopes Whose Product Equals -1
• 37 End of the Chapter - Review and Testing Part One
• 38 End of the Chapter - Review and Testing Part Two
• 39 End of the Chapter - Review and Testing Part Three
• 40 Multiplying Binomials
• 41 Common Factors
• 42 Factoring Easy Trinomials, Difference of Squares
• 43 Factoring by Grouping, Factoring Harder Trinomials
• 44 Simplifying, Adding, and Subtracting Fractions
• 45 Multiplying and Dividing Fractions
• 46 Solving Fractional Equations, Solving Quadratic Equations
• 47 Solving Radical Equations
• 48 Systems of Equations, Inconsistent Equations, Dependent Equations
• 49 Graphing Planes in Three Dimentions
• 50 Cramer's Rule
• 51 2x2 Determinants
• 52 3x3 Determinants
• 53 End of the Chapter - Review and Testing Part One
• 54 End of the Chapter - Review and Testing Part Two
• 55 End of the Chapter - Review and Testing Part Three
• 56 Ellipses
• 57 Circles
• 58 A Definition of Ellipses
• 59 Reflective Property of Ellipses
• 60 Parabolas
• 61 Hyperbolas
• 62 Graphing Inequalities, Definition of a Conic Section
• 63 End of the Chapter - Review and Testing Part One
• 64 End of the Chapter - Review and Testing Part Two
• 65 End of the Chapter - Review and Testing Part Three
• 66 Domain, Codomain, Definition of Function
• 67 Is This a Function?
• 68 Naming Functions, f:A B Notation
• 69 One-to-one Functions, Inverse Functions
• 70 Guess the Function
• 71 The Story of the Big Motel- adding One to Infinity
• 72 Onto Functions, One-to-one Correspondences
• 73 Functions as Ordered Pairs, Relations, the Identity Function
• 74 End of the Chapter - Review and Testing Part One
• 75 End of the Chapter - Review and Testing Part Two
• 76 End of the Chapter - Review and Testing Part Three
• 77 Degree of a Term, Degree of a Polynomial
• 78 Long Division of Polynomials
• 79 Partial Fractions
• 80 Proofs by Math Induction
• 81 Plotting the Constraints for Linear Programming, Big Numbers
• 82 The Second Half of the Linear Programming
• 83 End of the Chapter - Review and Testing Part One
• 84 End of the Chapter - Review and Testing Part Two
• 85 End of the Chapter - Review And Testing Part Three
• 86 Arithmetic Progressions
• 87 Adding and Multiplying Matrices
• 88 Geometric Sequences
• 89 Sum of a Geometric Progression, Sigma Notation
• 90 End of the Chapter - Review and Testing Part One
• 91 End of the Chapter - Review and TestingPart Two
• 92 End of the Chapter - Review and Testing Part Three
• 93 The Fundamental Principle of Counting
• 94 Permutation of n Things Taken r at a Time
• 95 Combination of n Things Taken r at a Time
• 96 The Binomial Formula
• 97 Pascal's Triangle
• 98 End of the Chapter - Review and Testing Part One
• 99 End of the Chapter - Review and Testing Part Two
• 100 End of the Chapter - Review and Testing Part Three
• 101 The Hardest Problem in Advanced Algebra