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Algebra

Algebra

Topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you’ve never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the “Algebra I Worked Examples” playlist.

  1. Simple Equations
  2. Equations 2
  3. Equations 3
  4. Algebra: Linear Equations 4
  5. Algebra: Solving Inequalities
  6. Algebra: graphing lines 1
  7. Algebra: Slope and Y-intercept intuition
  8. Algebra: Slope
  9. Algebra: Slope 2
  10. Algebra: Slope 3
  11. Algebra: Equation of a line
  12. Slope and Y-intercept Intuition
  13. Averages
  14. Integer sums
  15. Taking percentages
  16. Growing by a percentage
  17. Another Percent Word Problem
  18. More percent problems
  19. systems of equations
  20. Introduction to Ratios (new HD version)
  21. Ratio problem with basic algebra (new HD)
  22. More advanced ratio problem–with Algebra (HD version)
  23. Alternate Solution to Ratio Problem (HD Version)
  24. Introduction to Ratios
  25. Advanced ratio problems
  26. Age word problems 1
  27. Age word problems 2
  28. Age word problems 3
  29. Level 1 multiplying expressions
  30. Solving a quadratic by factoring
  31. Introduction to i and Imaginary Numbers
  32. Calculating i Raised to Arbitrary Exponents
  33. i as the Principal Root of -1 (a little technical)
  34. Complex Numbers (part 1)
  35. Complex Numbers (part 2)
  36. Introduction to the quadratic equation
  37. Quadratic Equation part 2
  38. Completing the square
  39. Quadratic Formula (proof)
  40. Quadratic Inequalities
  41. Quadratic Inequalities (Visual Explanation)
  42. Introduction to functions
  43. Functions Part 2
  44. Functions (Part III)
  45. Functions (part 4)
  46. Domain of a function
  47. Proof: log a + log b = log ab
  48. Proof: A(log B) = log (B^A), log A – log B = log (A/B)
  49. Proof: log_a (B) = (log_x (B))/(log_x (A))
  50. Algebraic Long Division
  51. Introduction to Conic Sections
  52. Conic Sections: Intro to Circles
  53. Conic Sections: Intro to Ellipses
  54. Conic Sections: Intro to Hyperbolas
  55. Conic Sections: Hyperbolas 2
  56. Conic Sections: Hyperbolas 3
  57. Identifying Conics 1
  58. Identifying Conics 2
  59. Conic Identification 3
  60. Foci of an Ellipse
  61. Foci of a Hyperbola
  62. Proof: Hyperbola Foci
  63. Partial Fraction Expansion 1
  64. Partial Fraction Expansion 2
  65. Partial Fraction Expansion 3
  66. Parabola Focus and Directrix 1
  67. Focus and Directrix of a Parabola 2
  68. Two Passing Bicycles Word Problem
  69. Passed Bike Word Problem
  70. Passing Trains
  71. Overtaking Word Problem
  72. Early Train Word Problem
  73. Officer on Horseback
  74. Rational Inequalities
  75. Rational Inequalities 2
  76. Interesting Polynomial Coefficient Problem
  77. Geometric series sum to figure out mortgage payments
  78. Introduction to Function Inverses
  79. Function Inverse Example 1
  80. Function Inverses Example 2
  81. Function Inverses Example 3
  82. Direct and Inverse Variation
  83. Recognizing Direct and Inverse Variation
  84. Recognizing Odd and Even Functions
  85. Connection between even and odd numbers and functions

Algebra I Worked Examples

180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the “Algebra” playlist if you’ve never seen algebra before or if you want instruction on topics in Algebra II. Use this playlist to see a ton of example problems in every topic in the California Algebra I Standards. If you can do all of these problems on your own, you should probably test out of Algebra I (seriously).

  1. Solving Equations 1
  2. Solving Equations 2
  3. Solving Equations with the Distributive Property
  4. Solving equations with the distributive property 2
  5. Algebraic Word Problem
  6. Sum of Consecutive Odd Integers
  7. Example of Solving for a Variable
  8. Solving for a Variable 2
  9. Absolute Value 1
  10. Absolute Value and Number Lines
  11. Absolute Value Equations 1
  12. Absolute Value Equation Example 2
  13. Patterns in Sequences 1
  14. Patterns in Sequences 2
  15. Equations of Sequence Patterns
  16. Finding the 100th Term in a Sequence
  17. Functional Relationships 1
  18. Testing if a relationship is a function
  19. Domain and Range 1
  20. Domain and Range 2
  21. Direct Variation 1
  22. Basic Rate Problem
  23. Basic Linear Function
  24. Exploring linear relationships
  25. Recognizing Linear Functions
  26. Exploring nonlinear relationships
  27. Slope of a line
  28. Slope Example
  29. X and Y intercepts
  30. X and Y intercepts 2
  31. Graphing a line in slope intercept form
  32. Equation of a line
  33. Converting to slope-intercept form
  34. Point-slope and standard form
  35. Parallel Lines
  36. Parallel Lines 2
  37. Parallel lines 3
  38. Perpendicular Lines
  39. Perpendicular lines 2
  40. Interpreting Inequalities
  41. Solving Inequalities
  42. Inequalities
  43. Absolute value inequalities
  44. Absolute Inequalities 2
  45. Absolute value inequalities 3
  46. Writing and using inequalities
  47. Writing and using inequalities 2
  48. Writing and using inequalities 3
  49. Solving and graphing linear inequalities in two variables
  50. Graphing linear inequalities in two variables
  51. Graphing linear inequalities in two variables
  52. Solving systems by graphing
  53. Solving systems by graphing 2
  54. Solving systems by graphing 3
  55. Solving systems by substitution 1
  56. Solving systems by substitution 2
  57. Solving systems by substitution 3
  58. Solving systems by elimination
  59. Solving systems by elimination 2
  60. Solving systems by elimination 3
  61. Systems and rate problems
  62. Systems and rate problems 2
  63. Systems and rate problems 3
  64. Mixture problems 1
  65. Mixture problems 2
  66. Mixture problems 3
  67. Graphing systems of inequalities
  68. Graphing systems of inequalities 2
  69. Graphing systems of inequalities 3
  70. Exponent Rules 1
  71. Exponent Rules 2
  72. Exponent Rules 3
  73. Scientific notation 1
  74. Scientific notation 2
  75. Scientific notation 3
  76. Simplifying Expressions with Exponents
  77. Simplifying Expressions with Exponents 2
  78. Simplifying Expressions with Exponents 3
  79. Pythagorean Theorem 1
  80. Pythagorean Theorem 2
  81. Pythagorean Theorem 3
  82. Simplifying Radical Expressions1
  83. Simplifying Radical Expressions 2
  84. Simplifying Radical Expressions 3
  85. Solving Radical Equations 1
  86. Solving Radical Equations 2
  87. Solving Radical Equations 3
  88. Applying Radical Equations 1
  89. Applying Radical Equations 2
  90. Applying Radical Equations 3
  91. Fractional Exponent Expressions 1
  92. Fractional Exponent Expressions 2
  93. Fractional Exponent Expressions 3
  94. Multiplying and Dividing Monomials 1
  95. Multiplying and Dividing Monomials 2
  96. Multiplying and Dividing Monomials 3
  97. Polynomials1
  98. Polynomials 2
  99. Adding and Subtracting Polynomials 1
  100. Adding and Subtracting Polynomials 2
  101. Adding and Subtracting Polynomials 3
  102. Multiplying Polynomials1
  103. Multiplying Polynomials 2
  104. Multiplying Polynomials 3
  105. Special Products of Polynomials 1
  106. Special Products of Polynomials 2
  107. U08_L2_T4_we3 Special Products of Polynomials 3
  108. Bay Area CBS Station with Salman Khan
  109. Factoring and the Distributive Property
  110. Factoring and the Distributive Property 2
  111. Factoring and the Distributive Property 3
  112. Factoring Trinomials by Grouping 1
  113. Factoring Trinomials by Grouping 2
  114. U09_L1_T2_we3 Factoring Trinomials by Grouping 3
  115. Factoring Trinomials by Grouping 4
  116. Factoring Trinomials by Grouping 5
  117. Factoring Trinomials by Grouping 6
  118. U09_L2_T1_we1 Factoring Special Products 1
  119. Factoring Special Products 2
  120. U09_L2_T1_we3 Factoring Special Products 3
  121. Solving Quadratic Equations by Factoring.avi
  122. Solving Quadratic Equations by Factoring 2.avi
  123. Solving Quadratic Equations by Factoring 3.avi
  124. Quadratic Functions 1
  125. Quadratic Functions 2
  126. Quadratic Functions 3
  127. Completing the Square 1
  128. Completing the Square 2
  129. Completing the Square 3
  130. Completing the Square 4
  131. Quadratic Formula 1
  132. Quadratic Formula 2
  133. Quadratic Formula 3
  134. Applying Quadratic Functions 1
  135. Applying Quadratic Functions 2
  136. Applying Quadratic Functions 3
  137. Non-Linear Systems of Equations 1
  138. Non-Linear Systems of Equations 2
  139. Non-Linear Systems of Equations 3
  140. Simplifying Rational Expressions 1
  141. Simplifying Rational Expressions 2
  142. Simplifying Rational Expressions 3
  143. Multiplying and Dividing Rational Expressions 1
  144. Multiplying and Dividing Rational Expressions 2
  145. Multiplying and Dividing Rational Expressions 3
  146. Adding and Subtracting Rational Expressions 1
  147. Adding and Subtracting Rational Expressions 2
  148. Adding and Subtracting Rational Expressions 3
  149. Solving Rational Equations 1
  150. Solving Rational Equations 2
  151. Solving Rational Equations 3
  152. Applying Rational Equations 1
  153. Applying Rational Equations 2
  154. Applying Rational Equations 3
  155. Number Sets 1
  156. Number Sets 2
  157. Number Sets 3
  158. Understanding Logical Statements 1
  159. Understanding Logical Statements 2
  160. Understanding Logical Statements 3
  161. Understanding Logical Statements 4
  162. Understanding Logical Statements Commentary
  163. U12_L1_T3_we1 Inductive Reasoning 1
  164. Inductive Reasoning 2
  165. Inductive Reasoning 3
  166. Deductive Reasoning 1
  167. Deductive Reasoning 2
  168. Deductive Reasoning 3
  169. Events and Outcomes 1
  170. Events and Outcomes 2
  171. Events and Outcomes 3
  172. U12_L2_T2_we1 Independent Events 1
  173. Independent Events 2
  174. Independent Events 3
  175. Permutations and Combinations 1
  176. Permutations and Combinations 2
  177. Permutations and Combinations 3
  178. Permutations and Combinations 4
  179. Probability of Dependent Events
  180. Probability of Dependent Events 2
  181. U02_L2_T2_we1 Absolute Value Equations.avi
  182. U06_L3_T1_we3 Graphing Systems of Inequalities
  183. U06_L1_T1_we1 Solving Systems by Graphing
  184. U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables
  185. U03_L2_T1_we2 Representing Functions as Graphs
  186. U03_L1_T1_we2 Inductive Patterns