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Lecture 
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I. Algebraic Expression 
1 
Evaluating Algebraic Expressions (19:04) 
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2 
Simplifying Algebraic Expressions Combining Like Terms (20:54) 
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3 
Writing Algebraic Expressions from Word Problems (21:17) 
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II. Solving Equations and Inequalities 
4 
Solving Linear Equations (15:00) 
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5 
Solving 1 Variable MultiStep Inequalities & Compound Inequalities (25:21) 
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6 
Absolute Value Equations & Inequalities (25:30) 
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7 
Function vs Relation (24:34) 
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8 
Solving Equations with 2 Absolute Value Functions or More (30:02) 
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III. Types of Variations 
9 
Direct Variation (19:30) 
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10 
Inverse Variation (22:30) 
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11 
Joint and Combined Variation (18:26) 
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IV. Linear Functions, Parallel and Perpendicular Lines 
12 
Rate of Change Slope & Point Slope Equation of Lines (14:51) 
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13 
Graphing Lines in SlopeIntercept form y=mx+b (13:21) 
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14 
Graphing lines using X & Y Intercepts (9:25) 
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15 
Equations of Lines and Graphing (13:35) 
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16 
Equations of Parallel and Perpendicular Lines (15:00) 
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17 
Solving Linear Systems with Substitution and Linear Combination (14:58) 
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18 
Given a Tangent Line & Circle Find the Point of Tangency (30:10) 
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19 
Distance Between Point and Line (18:57) 
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V. Graphing Linear and NonLinear Inequalities 
20 
Graphing Linear Inequalities (14:59) 
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21 
Graphing 1 Variable Inequalities (10:46) 
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22 
Graphing System of Linear Inequalities (17:14) 
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23 
Solving 3 Variable Linear Systems Substitution / Gaussian Elimination (25:10) 
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24 
Graphing NonLinear Inequalities (27:23) 
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VI. Operations with Polynomials 
25 
Determining Domain of Functions (12:38) 
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26 
Properties of Exponents Multiplication & Power (24:21) 
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27 
Multiplying Polynomials Distributive Property (15:28) 
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28 
Properties of Exponents Simplifying Quotients Negative Exponents (17:31) 
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29 
Negative Exponents and Power of Zero (19:33) 
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VII. Factoring Techniques 
30 
Factoring Overview (10:49) 
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31 
Factoring Monomials from a Polynomial (14:50) 
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32 
Factoring Polynomials Difference of Squares (15:26) 
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33 
Factoring Polynomials Sum Difference of Cubes (11:01) 
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34 
Factoring Quadratic Trinomial x^2+bx+c Polynomial (18:25) 
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35 
Factoring Quadratic Trinomial ax^2+bx+c (14:51) 
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36 
Factoring by Grouping (15:35) 
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VIII. More Operations with Polynomials 
37 
Simplifying Complex Fractions (20:28) 
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38 
Cooperative Work Word Problems (Time to Finish) (12:18) 
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39 
Alligation or Percent Mixture Problems (20:41) 
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IX. Quadratic Equations & Graphing Parabolas 
40 
Graphing Parabolas w/ vertex & intercepts (15:00) 
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41 
Parabola Applications Maximizing Minimizing Reflectors, etc (12:09) 
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X. Radicals and Rational Exponents 
42 
Simplifying Numerical Square Roots (13:04) 
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43 
Simplifying Square Roots (Radicals) with Variables (19:12) 
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44 
Multiplying & Dividing Radicals Properties of Roots (28:51) 
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45 
Solving Equations with Radicals (23:47) 
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46 
Equations with Radicals (23:47) 
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47 
Rational Exponents & Simplifying Radicals (26:09) 
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48 
Solving Equations Rational Exponents (11:39) 
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XI. Pythagorean Theorem, Quadratic Equation, Rationalizing Denominators 
49 
Pythagorean Theorem (17:43) 
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50 
Pythagorean Theorem Algebraic Examples (17:08) 
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51 
Converse Pythagorean Theorem & Triples (19:23) 
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52 
Rationalizing Square Roots from Monomial Denominator (10:49) 
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53 
Rationalizing Square Roots from Binomial Denominator (13:58) 
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54 
Completing the Square to Solve Quadratic Equations (19:43) 
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55 
Quadratic Formula Derivation (10:35) 
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56 
Quadratic Formula to Solve Quadratic Equations (21:44) 
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XII. Introduction to Complex Numbers 
57 
Complex (imaginary) Numbers Part 1 (15:01) 
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58 
Complex (imaginary) Numbers Part 2 (7:48) 
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XIII. Solving NonLinear Systems Substitution and Elimination Method 
59 
2 Variable Non Linear Systems Substitution Method (10:56) 
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60 
2 Variable Non Linear Systems Addition/Elimination Method (17:39) 
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61 
Long Division of Polynomials (14:23) 
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62 
Synthetic Division & Remainder Theorem (13:07) 
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63 
Finding polynomials using the Linear Factorization Theorem (15:00) 
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64 
Even and Odd Functions Many Examples (32:24) 
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65 
Solving Higher Order Polynomials Pt 1 Rational Zeros Descartes Rule (14:00) 
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66 
Solving Higher Order Polynomials Pt 2 Rational Zeros Descartes Rule (10:28) 
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67 
Polynomial Graphs Part 1 (14:44) 
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68 
Polynomial Graphs Part 2 (14:48) 
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69 
Combining Functions & Function Operations (14:13) 
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70 
Combining Functions Function Operations (13:11) 
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71 
Composition of Functions (10:19) 
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72 
Graphing Exponential Functions w/ ttable or Transformations (14:27) 
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73 
Inverse Functions (14:42) 
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74 
Logarithm Introduction (14:26) 
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75 
Graphing Logarithms (13:57) 
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76 
Using Properties of Logarithms to Expand Logs (13:50) 
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77 
Using Properties of Logarithms to Condense Logs (11:52) 
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78 
Change of Base Formula Logarithms (9:59) 
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79 
Solving Equations with Logarithms Pt 1 (13:25) 
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80 
Solving Equations with Logarithms Pt 2 (14:21) 
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81 
Solving Equations with Logarithms Pt 3 (8:15) 
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82 
Finding vertical asymptotes and holes of rational equations (14:29) 
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83 
Horizontal Asymptotes of rational equations (13:55) 
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84 
Graphing Rational Functions Part 1 (10:46) 
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85 
Graphing Rational Functions Part 2 (11:29) 
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86 
Graphing Rational Functions with Slant Asymptotes (12:11) 
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87 
Rational Algebraic Expressions Simplified (26:00) 
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88 
Sum and Difference of Rational Expressions (20:37) 
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89 
Product & Quotient of Rational Expressions (17:34) 
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90 
Solving Rational Equations (17:16) 
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91 
Solving Rational Inequalities (14:09) 
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92 
Factorial Notation (18:18) 
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93 
Summation Notation (Sigma) (17:36) 
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94 
Intro to Sequences (17:51) 
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95 
Arithmetic Sequence Introduction (16:45) 
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96 
Arithmetic Means (9:45) 
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97 
Partial Sum Arithmetic Sequence (10:38) 
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98 
Intro to Geometric Sequences (12:28) 
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99 
Geometric Means in a Geometric Sequence (19:50) 
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100 
Partial Sum Geometric Sequences (11:58) 
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101 
Infinite Sum Geometric Series (11:57) 
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102 
Converting Repeating Decimal to a Fraction (11:27) 
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103 
Graphing Parabolas in Standard Form (25:40) 
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104 
Applications of Parabolas in Standard Form (12:04) 
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105 
Graphing Ellipses & Circles (32:34) 
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106 
Application of Ellipses (21:35) 
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107 
Finding Equations of Conics from Given Conditions (23:45) 
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108 
Graphing Hyperbolas in Standard Form (36:53) 
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109 
Application of Hyperbolas (16:31) 
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110 
Binomial Theorem Introduction to Raise Binomials to High Powers (20:53) 
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