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).

Lectures

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   Lecture 1 - Solving Equations 1

   U02_L1_T1_we1: Solving Equations 1.

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   Lecture 2 - Solving Equations 2

   U02_L1_T1_we2: Solving Equations 2.

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   Lecture 3 - Solving Equations with the Distributive Property

   U02_L1_T2_we1 : Solving Equations with the Distributive Property.

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   Lecture 4 - Solving Equations with the Distributive Property 2

   U02_L1_T2_we2: Solving equations with the distributive property 2.

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   Lecture 5 - Algebraic Word Problem

   U02_L1_T3_we1 : Algebraic Word Problem.

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   Lecture 6 - Sum of Consecutive Odd Integers

   U02_L1_T3_we2 : Sum of Consecutive Odd Integers.

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   Lecture 7 - Example of Solving for a Variable

   U02_L1_T4_we1 : Example of solving for a variable.

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   Lecture 8 - Solving for a Variable 2

   U02_L1_T4_we2 : Solving for a Variable 2.

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   Lecture 9 - Absolute Value 1

   U02_L2_T1_we2 : Absolute Value 1.

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    Lecture 10 - Absolute Value and Number Lines

    Absolute Value and Number Lines.

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    Lecture 11 - Absolute Value Equations 1

    U02_L2_T2_we1 : Absolute Value Equations 1.

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    Lecture 12 - Absolute Value Equations 2

    U02_L2_T2_we2 : Example of solving an absolute value equation.

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    Lecture 13 - Patterns in Sequences 1

    U03_L1_T1_we1 : Patterns in Sequences 1.

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    Lecture 14 - Patterns in Sequences 2

    U03_L1_T1_we2 : Patterns in Sequences 2.

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    Lecture 15 - Equations of Sequence Patterns

    U03_L1_T2_we1 : Equations of Sequence Patterns.

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    Lecture 16 - Finding the 100th Term in a Sequence

    U03_L1_T2_we2 : Finding the 100th Term in a Sequence.

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    Lecture 17 - Functional Relationships 1

    U03_L2_T1_we1 : Functional Relationships 1.

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    Lecture 18 - Testing if a Relationship is a Function

    U03_L2_T1_we2 : Testing if a relationship is a function.

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    Lecture 19 - Domain and Range 1

    U03_L2_T2_we1 : Domain and Range 1.

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    Lecture 20 - Domain and Range 2

    U03_L2_T2_we2 : Domain and Range 2.

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    Lecture 21 - Direct Variation 1

    U03_L2_T3_we1 : Direct Variation 1.

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    Lecture 22 - Basic Rate Problem

    U03_L2_T3_we2 : Basic Rate Problem.

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    Lecture 23 - Basic Linear Function

    U03_L2_T4_we1 : Basic Linear Function.

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    Lecture 24 - Exploring Linear Relationships

    U03_L2_T4_we2 : Exploring linear relationships.

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    Lecture 25 - Recognizing Linear Functions

    U03_L2_T5_we1 : Recognizing Linear Functions.

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    Lecture 26 - Exploring Nonlinear Relationships

    U03_L2_T5_we2 : Exploring nonlinear relationships.

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    Lecture 27 - Slope of a Line

    U04_L1_T1_we1 : Slope of a line.

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    Lecture 28 - Slope Example

    U04_L1_T1_we2 : Slope Example.

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    Lecture 29 - X and Y Intercepts

    U04_L1_T2_we1 : X and Y intercepts.

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    Lecture 30 - X and Y Intercepts 2

    U04_L1_T2_we2 : X and Y intercepts 2.

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    Lecture 31 - Graphing a Line in Slope Intercept Form

    U04_L1_T3_we1 : Graphing a line in slope intercept form.

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    Lecture 32 - Equation of a Line

    U04_L1_T3_we2 : Equation of a line.

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    Lecture 33 - Converting to Slope Intercept Form

    U04_L1_T4_we1 : Converting to slope-intercept form.

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    Lecture 34 - Point-slope and Standard Form

    U04_L1_T4_we2 : Point-slope and standard form.

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    Lecture 35 - Parallel Lines 1

    U04_L2_T1_we1 : Parallel Lines.

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    Lecture 36 - Parallel Lines 2

    U04_L2_T1_we2 : Parallel Lines 2.

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    Lecture 37 - Parallel Lines 3

    U04_L2_T1_we3 : Parallel lines 3.

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    Lecture 38 - Perpendicular Lines 1

    U04_L2_T2_we1 : Perpendicular Lines.

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    Lecture 39 - Perpendicular Lines 2

    U04_L2_T2_we2 : Perpendicular lines 2.

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    Lecture 40 - Interpreting Inequalities

    U05_L1_T1_we1 : Interpreting Inequalities.

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    Lecture 41 - Solving Inequalities

    U05_L1_T1_we2 : Solving Inequalities.

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    Lecture 42 - Inequalities

    U05_L1_T1_we3 : Inequalities.

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    Lecture 43 - Absolute Value Inequalities

    U05_L1_T2_we1 : Absolute value inequalities.

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    Lecture 44 - Absolute Inequalites 2

    U05_L1_T2_we2 : Absolute Inequalities 2.

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    Lecture 45 - Absolute Value Inequalities 3

    U05_L1_T2_we3 : Absolute value inequalities 3.

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    Lecture 46 - Writing and Using Inequalities 1

    U05_L1_T3_we1 : Writing and using inequalities.

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    Lecture 47 - Writing and Using Inequalities 2

    U05_L1_T3_we2 : Writing and using inequalities 2.

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    Lecture 48 - Writing and Using Inequalities 3

    U05_L1_T3_we3 : Writing and using inequalities 3.

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    Lecture 49 - Solving and Graphing Linear Inequalities in Two Variables

    U05_L2_T1_we1 : Solving and graphing linear inequalities in two variables.

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    Lecture 50 - Graphing Linear Inequalities in Two Variables 1

    U05_L2_T1_we2 : Graphing linear inequalities in two variables.

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    Lecture 51 - Graphing Linear Inequalities in Two Variables 2

    U05_L2_T1_we3 : Graphing linear inequalities in two variables.

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    Lecture 52 - Solving Systems By Graphing 1

    U06_L1_T1_we1 Solving systems by graphing.

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    Lecture 53 - Solving Systems By Graphing 2

    U06_L1_T1_we2 Solving systems by graphing 2.

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    Lecture 54 - Solving Systems By Graphing 3

    U06_L1_T1_we3 Solving systems by graphing 3.

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    Lecture 55 - Solving Systems By Substitution 1

    U06_L1_T2_we1 Solving systems by substitution 1.

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    Lecture 56 - Solving Systems By Substitution 2

    U06_L1_T1_we2 Solving systems by substitution 2.

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    Lecture 57 - Solving Systems By Substitution 3

    U06_L1_T2_we3 Solving systems by substitution 3.

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    Lecture 58 - Solving Systems By Elimination 1

    U06_L1_T3_we1 Solving systems by elimination.

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    Lecture 59 - Solving Systems By Elimination 2

    U06_L1_T3_we2 Solving systems by elimination 2.

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    Lecture 60 - Solving Systems By Elimination 3

    U06_L1_T3_we3 Solving systems by elimination 3.

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    Lecture 61 - Systems and Rate Problems 1

    U06_L2_T1_we1 Systems and rate problems.

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    Lecture 62 - Systems and Rate Problems 2

    U06_L2_T1_we2 Systems and rate problems 2.

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    Lecture 63 - Systems and Rate Problems 3

    U06_L2_T1_we3 Systems and rate problems 3.

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    Lecture 64 - Mixture Problems 1

    U06_L2_T2_we1 Mixture problems 1.

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    Lecture 65 - Mixture Problems 2

    U06_L2_T2_we2 Mixture problems 2.

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    Lecture 66 - Mixture Problems 3

    U06_L2_T2_we3 Mixture problems 3.

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    Lecture 67 - Graphing Systems of Inequalities 1

    U06_L3_T1_we1 Graphing systems of inequalities.

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    Lecture 68 - Graphing Systems of Inequalities 2

    U06_L3_T1_we2 Graphing systems of inequalities 2.

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    Lecture 69 - Graphing Systems of Inequalities 3

    U06_L3_T1_we3 Graphing systems of inequalities 3.

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    Lecture 70 - Exponent Rules 1

    U07_L1_T1_we1 Exponent Rules 1.

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    Lecture 71 - Exponent Rules 2

    U07_L1_T1_we2 Exponent Rules 2.

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    Lecture 72 - Exponent Rules 3

    U07_L1_T1_we3 Exponent Rules 3.

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    Lecture 73 - Scientific Notation 1

    U07_L1_T2_we1 Scientific notation 1.

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    Lecture 74 - Scientific Notation 2

    U07_L1_T2_we2 Scientific notation 2.

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    Lecture 75 - Scientific Notation 3

    U07_L1_T2_we3 Scientific notation 3.

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    Lecture 76 - Simplifying Expressions with Exponents 1

    U07_L1_T3_we1 Simplifying Expressions with Exponents.

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    Lecture 77 - Simplifying Expressions with Exponents 2

    U07_L1_T3_we2 Simplifying Expressions with Exponents 2.

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    Lecture 78 - Simplifying Expressions with Exponents 3

    U07_L1_T3_we3 Simplifying Expressions with Exponents 3.

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    Lecture 79 - Pythagorean Theorem 1

    U07_L2_T1_we1 Pythagorean Theorem 1.

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    Lecture 80 - Pythagorean Theorem 2

    U07_L2_T1_we2 Pythagorean Theorem 2.

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    Lecture 81 - Simplifying Radical Expressions 1

    U07_L3_T1_we1 Simplifying Radical Expressions 1.

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    Lecture 82 - Simplifying Radical Expressions 2

    U07_L3_T1_we2 Simplifying Radical Expressions 2.

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    Lecture 83 - Simplifying Radical Expressions 3

    U07_L3_T1_we3 Simplifying Radical Expressions 3.

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    Lecture 84 - Solving Radical Expressions 1

    U07_L3_T2_we1 Solving Radical Equations 1.

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    Lecture 85 - Solving Radical Expressions 2

    U07_L3_T2_we2 Solving Radical Equations 2.

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    Lecture 86 - Solving Radical Expressions 3

    U07_L3_T2_we3 Solving Radical Equations 3.

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    Lecture 87 - Applying Radical Equations 1

    U07_L3_T3_we1 Applying Radical Equations 1.

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    Lecture 88 - Applying Radical Equations 2

    U07_L3_T3_we2 Applying Radical Equations 2.

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    Lecture 89 - Applying Radical Equations 3

    U07_L3_T3_we3 Applying Radical Equations 3.

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    Lecture 90 - Fractional Exponent Expressions 1

    U07_L3_T4_we1 Fractional Exponent Expressions 1.

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    Lecture 91 - Fractional Exponent Expressions 2

    U07_L3_T4_we2 Fractional Exponent Expressions 2.

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    Lecture 92 - Multiplying and Dividing Monomials 1

    U08_L1_T1_we1 Multiplying and Dividing Monomials 1.

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    Lecture 93 - Multiplying and Dividing Monomials 2

    U08_L1_T1_we2 Multiplying and Dividing Monomials 2.

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    Lecture 94 - Multiplying and Dividing Monomials 3

    U08_L1_T1_we3 Multiplying and Dividing Monomials 3.

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    Lecture 95 - Polynomials 1

    U08_L2_T1_we1 Polynomials 1.

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    Lecture 96 - Polynomials 2

    U08_L2_T1_we2 Polynomials 2.

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    Lecture 97 - Adding and Subtracting 1

    U08_L2_T2_we1 Adding and Subtracting Polynomials 1.

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    Lecture 98 - Adding and Subtracting 2

    U08_L2_T2_we2 Adding and Subtracting Polynomials 2.

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    Lecture 99 - Adding and Subtracting 3

    U08_L2_T2_we3 Adding and Subtracting Polynomials 3.

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     Lecture 100 - Multiplying Polynomials 1

     U08_L2_T3_we1 Multiplying Polynomials 1.

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     Lecture 101 - Multiplying Polynomials 2

     U08_L2_T3_we2 Multiplying Polynomials 2.

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     Lecture 102 - Multiplying Polynomials 3

     U08_L2_T3_we3 Multiplying Polynomials 3.

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     Lecture 103 - Special Products of Polynomials 1

     U08_L2_T4_we1 Special Products of Polynomials 1.

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     Lecture 104 - Special Products of Polynomials 2

     U08_L2_T4_we2 Special Products of Polynomials 2.

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     Lecture 105 - Special Products of Polynomials 3

     U08_L2_T4_we3 Special Products of Polynomials 3.

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     Lecture 106 - Bay Area CBS Station with Slaman Khan

     Bay Area CBS Station with Salman Khan.

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     Lecture 107 - Factoring and the Distributive Property 1

     U09_L1_T1_we1 Factoring and the Distributive Property.

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     Lecture 108 - Factoring and the Distributive Property 2

     U09_L1_T1_we2 Factoring and the Distributive Property 2.

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     Lecture 109 - Factoring and the Distributive Property 3

     U09_L1_T1_we3 Factoring and the Distributive Property 3.

110. favorites

     Lecture 110 - Factoring Trinomials By Grouping 1

     U09_L1_T2_we1 Factoring Trinomials by Grouping 1.

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     Lecture 111 - Factoring Trinomials By Grouping 2

     U09_L1_T2_we2 Factoring Trinomials by Grouping 2.

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     Lecture 112 - Factoring Trinomials By Grouping 3

     U09_L1_T2_we3 Factoring Trinomials by Grouping 3.

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     Lecture 113 - Factoring Trinomials By Grouping 4

     U09_L1_T3_we1 Factoring Trinomials by Grouping 4.

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     Lecture 114 - Factoring Trinomials By Grouping 5

     U09_L1_T3_we2 Factoring Trinomials by Grouping 5.

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     Lecture 115 - Factoring Trinomials by Grouping 6

     U09_L1_T3_we3 Factoring Trinomials by Grouping 6.

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     Lecture 116 - Factoring Special Products 1

     U09_L2_T1_we1 Factoring Special Products 1.

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     Lecture 117 - Factoring Special Products 2

     U09_L2_T1_we2 Factoring Special Products 2.

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     Lecture 118 - Factoring Special Products 3

     U09_L2_T1_we3 Factoring Special Products 3.

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     Lecture 119 - Solving Quadratic Equations By Factoring 1

     U09_L2_T2_we1 Solving Quadratic Equations by Factoring.

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     Lecture 120 - Solving Quadratic Equations By Factoring 2

     U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.

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     Lecture 121 - Solving Quadratic Equations By Factoring 3

     U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3.

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     Lecture 122 - Quadratic Functions 1

     U10_L1_T1_we1 Quadratic Functions 1.

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     Lecture 123 - Quadratic Functions 2

     U10_L1_T1_we2 Quadratic Functions 2.

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     Lecture 124 - Quadratic Functions 3

     U10_L1_T1_we3 Quadratic Functions 3.

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     Lecture 125 - Completing the Square 1

     U10_L1_T2_we1 Completing the Square 1.

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     Lecture 126 - Completing the Square 2

     U10_L1_T2_we2 Completing the Square 2.

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     Lecture 127 - Completing the Square 3

     U10_L1_T2_we3 Completing the Square 3.

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     Lecture 128 - Completing the Square 4

     U10_L1_T2_we4 Completing the Square 4.

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     Lecture 129 - Quadratic Formula 1

     U10_L1_T3_we1 Quadratic Formula 1.

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     Lecture 130 - Quadratic Formula 2

     U10_L1_T3_we2 Quadratic Formula 2.

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     Lecture 131 - Quadratic Formula 3

     U10_L1_T3_we3 Quadratic Formula 3.

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     Lecture 132 - Applying Quadratic Functions 1

     U10_L2_T1_we1 Applying Quadratic Functions 1.

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     Lecture 133 - Applying Quadratic Functions 2

     U10_L2_T1_we2 Applying Quadratic Functions 2.

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     Lecture 134 - Applying Quadratic Functions 3

     U10_L2_T1_we3 Applying Quadratic Functions 3.

135. favorites

     Lecture 135 - Non-Linear Systems of Equations 1

     U10_L2_T2_we1 Non-Linear Systems of Equations 1.

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     Lecture 136 - Non-Linear Systems of Equations 2

     U10_L2_T2_we2 Non-Linear Systems of Equations 2.

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     Lecture 137 - Non-Linear Systems of Equations 3

     U10_L2_T2_we3 Non-Linear Systems of Equations 3.

138. favorites

     Lecture 138 - Simplifying Rational Expressions 1

     U11_L1_T1_we1 Simplifying Rational Expressions 1.

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     Lecture 139 - Simplifying Rational Expressions 2

     U11_L1_T1_we2 Simplifying Rational Expressions 2.

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     Lecture 140 - Simplifying Rational Expressions 3

     U11_L1_T1_we3 Simplifying Rational Expressions 3.

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     Lecture 141 - Multiplying and Dividing Rational Expressions 1

     U11_L1_T2_we1 Multiplying and Dividing Rational Expressions 1.

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     Lecture 142 - Multiplying and Dividing Rational Expressions 2

     U11_L1_T2_we2 Multiplying and Dividing Rational Expressions 2.

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     Lecture 143 - Multiplying and Dividing Rational Expressions 3

     U11_L1_T2_we3 Multiplying and Dividing Rational Expressions 3.

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     Lecture 144 - Adding and Subtracting Rational Expressions 1

     U11_L1_T3_we1 Adding and Subtracting Rational Expressions 1.

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     Lecture 145 - Adding and Subtracting Rational Expressions 2

     U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2.

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     Lecture 146 - Adding and Subtracting Rational Expressions 3

     U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3.

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     Lecture 147 - Solving Rational Equations 1

     U11_L2_T1_we1 Solving Rational Equations 1.

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     Lecture 148 - Solving Rational Equations 2

     U11_L2_T1_we2 Solving Rational Equations 2.

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     Lecture 149 - Solving Rational Equations 3

     U11_L2_T1_we3 Solving Rational Equations 3.

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     Lecture 150 - Applying Rational Equations 1

     U11_L2_T2_we1 Applying Rational Equations 1.

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     Lecture 151 - Applying Rational Equations 1 Extra

     U11_L2_T2_we1 Applying Rational Equations 1 extra commentary.

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     Lecture 152 - Applying Rational Equations 2

     U11_L2_T2_we2 Applying Rational Equations 2.

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     Lecture 153 - Applying Rational Equations 3

     U11_L2_T2_we3 Applying Rational Equations 3.

154. favorites

     Lecture 154 - Number Sets 1

     U12_L1_T1_we1 Number Sets 1.

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     Lecture 155 - Number Sets 2

     U12_L1_T1_we2 Number Sets 2.

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     Lecture 156 - Number Sets 3

     U12_L1_T1_we3 Number Sets 3.

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     Lecture 157 - Understanding Logical Statements 1

     U12_L1_T2_we1 Understanding Logical Statements 1.

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     Lecture 158 - Understanding Logical Statements 2

     U12_L1_T2_we2 Understanding Logical Statements 2.

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     Lecture 159 - Understanding Logical Statements 3

     U12_L1_T2_we3 Understanding Logical Statements 3.

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     Lecture 160 - Understanding Logical Statements 4

     U12_L1_T2_we4 Understanding Logical Statements 4.

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     Lecture 161 - Understanding Logical Statements 5

     Understanding Logical Statements Commentary 5.

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     Lecture 162 - Inductive Reasoning 1

     U12_L1_T3_we1 Inductive Reasoning 1.

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     Lecture 163 - Inductive Reasoning 2

     U12_L1_T3_we2 Inductive Reasoning 2.

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     Lecture 164 - Inductive Reasoning 3

     U12_L1_T3_we3 Inductive Reasoning 3.

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     Lecture 165 - Deductive Reasoning 1

     U12_L1_T4_we1 Deductive Reasoning 1.

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     Lecture 166 - Deductive Reasoning 2

     U12_L1_T4_we2 Deductive Reasoning 2.

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     Lecture 167 - Deductive Reasoning 3

     U12_L1_T4_we3 Deductive Reasoning 3.

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     Lecture 168 - Events and Outcomes 1

     U12_L2_T1_we1 Events and Outcomes 1.

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     Lecture 169 - Events and Outcomes 2

     U12_L2_T1_we2 Events and Outcomes 2.

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     Lecture 170 - Events and Outcomes 3

     U12_L2_T1_we3 Events and Outcomes 3.

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     Lecture 171 - Independent Events 1

     U12_L2_T2_we1 Independent Events 1.

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     Lecture 172 - Independent Events 2

     U12_L2_T2_we2 Independent Events 2.

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     Lecture 173 - Independent Events 3

     U12_L2_T2_we3 Independent Events 3.

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     Lecture 174 - Permutations and Combinations 1

     U12_L2_T3_we1 Permutations and Combinations 1.

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     Lecture 175 - Permutations and Combinations 2

     U12_L2_T3_we2 Permutations and Combinations 2.

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     Lecture 176 - Permutations and Combinations 3

     U12_L2_T3_we3 Permutations and Combinations 3.

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     Lecture 177 - Permutations and Combinations 4

     U12_L2_T4_we1 Permutations and Combinations 4.

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     Lecture 178 - Probability of Dependent Events 1

     U12_L2_T4_we2 Probability of Dependent Events.

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     Lecture 179 - Probability of Dependent Events 2

     U12_L2_T4_we3 Probability of Dependent Events 2.

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     Lecture 180 - Absolute Value Equations

     U02_L2_T2_we1 Absolute Value Equations.

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     Lecture 181 - Graphing Systems of Inequalities

     U06_L3_T1_we3 Graphing Systems of Inequalities.

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     Lecture 182 - Solving Systems By Graphing

     U06_L1_T1_we1 Solving Systems by Graphing.

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     Lecture 183 - Graphing Linear Inequalities in Two Variables

     U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables.

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     Lecture 184 - Representing Functions as Graphs

     U03_L2_T1_we2 Representing Functions as Graphs.

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     Lecture 185 - Inductive Patterns

     U03_L1_T1_we2 Inductive Patterns.