INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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Dr. Carleen Eaton guides you through Algebra 1 with captivating lessons honed from teaching math and science for over 10 years. This course meets or exceeds all state standards and is essential to those having trouble with Algebra in high school or college. Carleen’s upbeat teaching style and real world examples will keep you engaged while learning. She covers everything in Algebra 1 from Linear Expressions to Systems of Equations and Rational Expressions. Along the way she has received multiple "Teacher of the Year" awards and rankings as one of the top instructors in California. Dr. Eaton received her M.D. from the UCLA School of Medicine.

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I. Basic Concepts
  Variables and Expressions 11:22
   Intro 0:00 
    History of Algebra 0:12 
    Origin of Word 0:21 
    Real World Problems 0:35 
   Definitions 0:58 
    Variable 1:03 
    Algebraic Expression 1:37 
    Operations 2:02 
   Example 1: Words into Expressions 3:02 
   Example 2: Words into Expressions 5:20 
   Example 3: Words into Expressions 6:45 
   Example 4: Words into Expressions 9:46 
  Order of Operations 15:59
   Intro 0:00 
    Example 0:17 
    Definition 0:57 
   Procedure to Evaluate an Arithmetic Expression 1:08 
    Grouping Symbols (Parentheses, Brackets, Braces) 1:19 
    Powers 1:42 
    Multiply/Divide Left to Right 1:57 
    Add/Subtract Left to Right 2:21 
    Example: Fraction Bar 2:49 
   Example 1: Evaluate Arithmetic Expression 3:45 
   Example 2: Evaluate Arithmetic Expression 7:28 
   Example 3: Evaluate Arithmetic Expression 10:11 
   Example 4: Evaluate with Variables 13:12 
  Distributive Property 9:50
   Intro 0:00 
   Distributive Property Statements 0:23 
    Moving Forward 0:49 
    Rule for Subtraction 1:14 
    Reverse Order 1:40 
    Several Numbers 2:17 
   Example 1: Evaluate Using Distributive Property 2:56 
   Example 2: Multiply Using Distributive Property 4:10 
   Example 3: Simplify Using Distributive Property 4:59 
   Example 4: Simplify Using Distributive Property 7:03 
  Real Number System 17:58
   Intro 0:00 
   Real Number System 0:31 
    Natural Numbers 0:39 
    Whole Numbers 1:11 
    Integers 1:23 
    Rational Numbers 1:52 
    Cannot Divide by Zero 2:18 
    Decimals 2:27 
    Example: Terminating or Repeating 2:39 
   Real Number System, Cont. 3:37 
    Square Roots 3:42 
    Examples 3:54 
    Irrational Numbers 4:36 
    Examples 5:02 
    Perfect Square 5:54 
   Real Number System, Cont. 6:49 
    Example: Number Line 7:02 
   Example 1: Which Set of Numbers 7:54 
   Example 2: Graph on Number Line 10:04 
   Example 3: Approximate Irrational Number 12:47 
   Example 4: Order Largest to Smallest 13:57 
  Functions and Graphs 34:39
   Intro 0:00 
   Functions 0:15 
    Example: Function 0:29 
    Example: Not Functions (Relations) 1:15 
   Graphs 4:44 
    Visual Display 4:53 
    Example: X and Y 5:03 
    Coordinate Pairs 5:53 
    Discrete Function 8:19 
    Continuous Function 8:55 
   Vertical Line Test 10:55 
    Test if Function 11:12 
    Example: Pass Through Points 11:43 
   Domain and Range 14:13 
    Example 14:43 
   Example 1: Function Given by Table 16:24 
   Example 2: Cost of Gas 18:46 
   Example 3: Cost of Gas 23:15 
   Example 4: Cost of Mail 29:07 
II. Solving Linear Equations
  From Sentences to Equations 16:05
   Intro 0:00 
    Real World Applications 0:18 
   Strategy 0:26 
    Using Variables 0:32 
    Translate Phrases 0:48 
    Identity Equality Words 1:07 
   Example 1: Write Equation 1:32 
   Example 2: Write Equation 4:14 
   Example 3: Sisters' Ages 8:26 
   Example 4: Surface Area of Cylinder 12:52 
  Addition and Subtraction Techniques 15:24
   Intro 0:00 
   Techniques 0:21 
    Addition Principle 0:24 
    Example 0:37 
    Subtraction Principle 1:44 
    Example 1:48 
   Strategy 2:33 
    Isolate the Variable 2:41 
    Example 2:55 
   Example 1: Solve Equation 3:39 
   Example 2: Solve Equation 5:38 
   Example 3: Word Problem 7:38 
   Example 4: Word Problem 11:14 
  Multiplication and Division Techniques 15:41
   Intro 0:00 
    Isolating the Variable 0:08 
   Techniques 0:34 
    Multiplication Principle 0:41 
    Example 0:57 
    Division Principle 2:32 
    Example 2:47 
   Strategy 3:12 
    Example 3:30 
    Opposite Operation 3:53 
   Example 1: Solve Equation 5:07 
   Example 2: Solve Equation 6:50 
   Example 3: Solve Equation 10:05 
   Example 4: Word Problem 12:07 
  Techniques for Multistep Equations 14:31
   Intro 0:00 
   What are Multistep Equations 0:06 
    Addition/Subtraction and Multiplication/Division 0:31 
   Strategy 0:43 
    Identify Last Operation 0:47 
   Example 1: Solve Equation 1:51 
   Example 2: Solve Equation 5:27 
   Example 3: Find Numbers 7:39 
   Example 4: Solve Equation 11:27 
  When the Variable is on Both Sides of the Equation 20:17
   Intro 0:00 
   Solving More Complicated Equations 0:28 
    Distributive Property 0:41 
    Review of Distributive Property 0:55 
    Factoring 1:28 
    Subtracting 1:50 
    Applying with Addition/Subtraction 2:08 
   Possible Outcomes 2:45 
    Exactly One Solution 2:52 
    No Solution 3:08 
    True for All Real Numbers 4:45 
    Identities 5:01 
   Example 1: Solve Equation 6:03 
   Example 2: Solve Equation 9:08 
   Example 3: Solve Equation 14:06 
   Example 4: Solve Equation 17:28 
  Ratios and Proportion 16:05
   Intro 0:00 
   Definitions 0:07 
    Ratio 0:10 
    Different Representations 0:14 
    Proportion 0:33 
    Example 0:40 
   Cross Product 1:08 
    Cross Multiplication 1:32 
    Example 2:13 
   Rates 3:33 
    Rates in Real Life 3:46 
   Example 1: Form a Proportion 4:43 
   Example 2: Cross Multiply 7:15 
   Example 3: How Long to Drive 9:00 
   Example 4: Cross Products 12:13 
  Applications of Percents 13:46
   Intro 0:00 
   Definitions 0:15 
    Percent of Increase 0:27 
    Percent of Decrease 0:34 
    Examples 0:42 
    Sales Tax 1:48 
    Discount 2:44 
   Example 1: Temperature Change 3:12 
   Example 2: Sales Tax 5:44 
   Example 3: Clothing Discount 7:04 
   Example 4: Sales and Discount 9:15 
  More Than One Variable 20:38
   Intro 0:00 
   More Than One Variable 0:21 
    Real Life Examples 0:30 
   Strategy 1:08 
    Possible Techniques 1:17 
   Typical Application 1:43 
    Solving for a Different Variable 1:59 
   Example 1: Solve for Y 5:06 
   Example 2: Solve for Q 7:38 
   Example 3: Solve for H 12:56 
   Example 4: Solve for X 16:04 
III. Functions
  Relations 16:58
   Intro 0:00 
   Definition 0:04 
    Relation 0:06 
    Table 0:18 
    Set of Ordered Pairs 1:01 
    Graph 1:38 
   Domain and Range 2:40 
    Example: Relation 2:51 
    Example: Broader Cases 3:48 
   Inverse of a Relation 4:42 
    Example 4:59 
   Example 1: Relation as Table/Graph 6:15 
   Example 2: Domain and Range 8:41 
   Example 3: Table, Graph, Domain, Range 10:36 
   Example 4: Inverse of a Relation 13:36 
  Functions 19:27
   Intro 0:00 
   Definition 0:14 
    Review of Relations 0:27 
    Violation of Function 1:43 
    Example: Function 2:00 
   Vertical Line Test 3:18 
    Example 3:41 
   Function Notation 6:15 
    Using f(x) 6:26 
    Example: Value Assigned 7:12 
   Example 1: Relation a Function 8:10 
   Example 2: Relation a Function 9:39 
   Example 3: Using f(x) Notation 12:20 
   Example 4: g(x) Notation 15:01 
  Linear Functions 20:15
   Intro 0:00 
   Definition 0:07 
    Standard Form 0:18 
    Example 0:52 
   Graph and Intercepts 2:39 
    Example: Graph 2:48 
    X-Intercept 2:56 
    Y-Intercept 3:35 
   Graphing Linear Equations 4:29 
    Example 4:47 
   Linear Functions 7:51 
    Example 8:15 
   Example 1: Linear 10:16 
   Example 2: Linear Equation 12:58 
   Example 3: Intercepts 14:23 
   Example 4: Equation from Intercepts 16:47 
IV. Linear Functions and Their Graphs
  Slope and Rate of Change 19:46
   Intro 0:00 
   Rate of Change 0:06 
    Other Words 0:14 
    Example 0:24 
   Slope 2:12 
    Two Points 2:39 
    Steepness of a Line 2:57 
   Possible Slopes 4:29 
    Positive Slope 5:02 
    Negative Slope 5:29 
    Zero Slope (Horizontal Line) 6:23 
    Undefined Slope (Vertical Line) 7:08 
   Example 1: Rate of Change of Table 8:19 
   Example 2: Slope Through Points 10:52 
   Example 3: Increasing/Decreasing 13:06 
   Example 4: Slope Through Points 16:02 
  Direct Variation 13:54
   Intro 0:00 
   Definitions 0:10 
    Constant of Variation k 0:21 
    Example: Gas and Miles Driven 0:59 
   Graph 1:50 
    k is Slope 2:04 
    Examples 2:27 
   Applications 2:47 
    Write, Graph, Solve 2:58 
   Example 1: Constant of Variation 3:11 
   Example 2: Graph Direct Variation 4:59 
   Example 3: Direct Variation 6:50 
   Example 4: Distance Car Travels 9:18 
  Slope Intercept Form of an Equation 12:06
   Intro 0:00 
   Slope Intercept Form 0:12 
    m (Slope) and b (Y Intercept) 0:31 
    Example 1:12 
   Example 1: Slope Intercept Form Equation 2:39 
   Example 2: Graph the Equation 5:11 
   Example 3: Slope Intercept Form Equation 6:51 
   Example 4: Slope Intercept Form Equation 8:50 
  Point Slope Form of an Equation 9:07
   Intro 0:00 
   Point Slope Form 0:07 
    Manipulating to Other Forms 0:35 
    m (Slope), x1 y1 (Point) 0:47 
   Example 1: Point Slope Form Equation 1:03 
   Example 2: Point Slope Form Equation 2:50 
   Example 3: Point Slope Form Equation 4:18 
   Example 4: Point Slope Form Equation 6:50 
  Parallel Lines and Perpendicular Lines 18:02
   Intro 0:00 
   Parallel Lines 0:08 
    Example 0:15 
    Vertical Lines 0:40 
   Perpendicular Lines 1:19 
    Negative Reciprocal 1:31 
    Example 2:05 
   Example 1: Slope Intercept Form 3:25 
   Example 2: Parallel or Perpendicular 6:15 
   Example 3: Slope Intercept Form 9:27 
   Example 4: Slope Intercept Form 12:35 
V. Systems of Equations
  Graphing Systems of Equations 22:45
   Intro 0:00 
   Systems of Equations 0:10 
    Definition 0:15 
    Example 0:31 
    Solution 0:47 
   Solving by Graphing 1:23 
    Points of Intersection 1:36 
    Example 1:56 
   Number of Solutions 3:09 
    Independent 3:20 
    Dependent 3:50 
    Inconsistent 4:46 
   Example 1: Solve by Graphing 5:45 
   Example 2: Solve by Graphing 9:50 
   Example 3: Solve by Graphing 14:17 
   Example 4: Solve by Graphing 18:03 
  Solving by Substituting 22:41
   Intro 0:00 
   Substitution 0:09 
    Example 0:45 
   Number of Solutions 2:47 
    Infinite Solutions 3:11 
    No Solutions 4:28 
   Example 1: Solve by Substitution 5:44 
   Example 2: Solve by Substitution 10:01 
   Example 3: Solve by Substitution 15:17 
   Example 4: Solve by Substitution 19:41 
  Solving by Addition and Subtraction 16:13
   Intro 0:00 
   Fundamental Principle 0:10 
    Example 0:23 
   Example 1: Solve the System 1:52 
   Example 2: Solve the System 5:53 
   Example 3: Solve the System 10:15 
   Example 4: Solve the System 14:08 
VI. Inequalities
  Addition & Subtraction Techniques 11:34
   Intro 0:00 
   Fundamental Principle 0:09 
    Example 0:36 
   Solutions of Inequalities 1:51 
    Inequality 1:59 
    Set Builder Notation 2:02 
    Graph on a Number Line 2:08 
    Examples 2:18 
   Example 1: Solve the Inequality 4:59 
   Example 2: Solve the Inequality 7:00 
   Example 3: Solve the Inequality 8:10 
   Example 4: Solve the Inequality 9:47 
  Multiplication & Division Techniques 10:49
   Intro 0:00 
   Fundamental Principle 0:10 
    Only Positive Numbers 0:23 
    Example 0:51 
   Fundamental Principle, Cont. 2:01 
    Negative Numbers 2:12 
    Reverse Inequality Sign 2:28 
    Example 2:48 
   Example 1: Solve the Inequality 4:26 
   Example 2: Solve the Inequality 5:45 
   Example 3: Solve the Inequality 6:50 
   Example 4: Solve the Inequality 8:28 
  Techniques for Multistep Inequalities 16:56
   Intro 0:00 
   Similarity to Multistep Equations 0:16 
    Negative Numbers 0:32 
    Example 0:49 
   Inequalities Containing Grouping Symbols 1:24 
    Example 1:35 
   Special Cases 2:45 
    Example: All Real Numbers 3:04 
    Example: Empty Set 4:10 
   Example 1: Solve the Inequality 6:05 
   Example 2: Solve the Inequality 7:39 
   Example 3: Solve the Inequality 9:57 
   Example 4: Solve the Inequality 13:56 
  Compound Inequalities 21:32
   Intro 0:00 
   What is a Compound Inequality 0:07 
    Joined by 'And' or 'Or' 0:16 
   Inequalities Combined by 'And' 0:36 
    Intersection/Overlap 0:53 
    Example 1:08 
   Inequalities Combined by 'Or' 4:23 
    Union 4:41 
    Example 5:27 
   Example 1: Solve the Inequality 6:39 
   Example 2: Solve the Inequality 11:30 
   Example 3: Solve the Inequality 13:43 
   Example 4: Solve the Inequality 18:19 
  Equations with Absolute Value 24:16
   Intro 0:00 
   Absolute Value 0:06 
    Number Line 0:22 
    Example 0:41 
    Absolute Value is N 1:52 
   Absolute Value Function 3:17 
    Example 3:40 
    g(x) and f(x) 4:31 
   Solving Absolute Value Equations 6:23 
    Absolute Value in Words 6:39 
    Split Into Two Parts 7:58 
    Solve Both Equations 8:22 
   Example 1: Solve the Absolute Value 10:34 
   Example 2: Solve the Absolute Value 13:09 
   Example 3: Solve the Absolute Value 14:52 
   Example 4: Solve the Absolute Value 20:23 
  Inequalities with Absolute Values 17:37
   Intro 0:00 
   Inequalities of the Form |x|< n 0:07 
    Values that Satisfy Both Inequalities 0:46 
    Example 1:27 
   Inequalities of the Form |x|> n 3:58 
    Values that Satisfy Either Inequalities 4:19 
    Example 4:47 
   Example 1: Solve the Inequality 6:38 
   Example 2: Solve the Inequality 9:54 
   Example 3: Solve the Inequality 12:05 
   Example 4: Solve the Inequality 14:50 
  Graphing Inequalities with Two Variables 24:33
   Intro 0:00 
   Graph 0:08 
    Half Plane and Boundary 0:51 
   Technique for Graphing 1:57 
    Graph Equation 2:01 
    Solid Line or Dashed Line 2:07 
    Example 2:32 
    Choosing a Test Point 5:10 
    Example 5:26 
   Example 1: Solve the Inequality 7:49 
   Example 2: Solve the Inequality 11:37 
   Example 3: Solve the Inequality 15:44 
   Example 4: Solve the Inequality 19:10 
  Graphing Systems of Inequalities 24:04
   Intro 0:00 
   System of Inequalities 0:05 
    Example 0:22 
   Solving a System of Inequalities 0:38 
    Solution Set 0:46 
    Graph Each Inequality 0:57 
    Area of Overlap 1:45 
   Example 1: Solve the System of Inequalities 2:44 
   Example 2: Solve the System of Inequalities 6:33 
   Example 3: Solve the System of Inequalities 11:40 
   Example 4: Solve the System of Inequalities 17:36 
VII. Polynomials
  Multiplying Monomials 22:19
   Intro 0:00 
   What is a Monomial 0:09 
    Examples 0:17 
    Power 0:55 
    Base and Exponent 1:52 
   Properties of Exponents 2:16 
    Add Exponents 2:25 
    Multiply Exponents 4:00 
    Product Exponent 4:39 
   Simplified Form 7:26 
    Examples 7:47 
   Example 1: Simplify the Monomial 8:26 
   Example 2: Simplify the Monomial 10:32 
   Example 3: Simplify the Monomial 12:48 
   Example 4: Simplify the Monomial 17:33 
  Dividing Monomials 24:02
   Intro 0:00 
   Properties of Exponents 0:05 
   Dividing with Same Base 0:15 
    Example 0:53 
   Quotient Raised to Power 2:22 
    Example 2:53 
   Raising to 0 Power 4:00 
    Example 4:21 
   Negative Exponents 5:45 
    Example 6:05 
   Example 1: Simplify the Monomial 7:33 
   Example 2: Simplify the Monomial 14:56 
   Example 3: Simplify the Monomial 13:30 
   Example 4: Simplify the Monomial 17:35 
  Polynomials 8:56
   Intro 0:00 
   What is a Polynomial 0:07 
    Monomial 0:40 
    Binomial 1:15 
    Trinomial 1:25 
   Degree of a Polynomial 1:56 
    Example: Degree of Monomial 2:13 
    Example: Degree of Polynomial 2:47 
   Ordering Polynomials 3:32 
    Example 3:47 
   Example 1: Trinomial or Binomial 4:44 
   Example 2: Find the Degree 5:27 
   Example 3: Increasing Powers 6:11 
   Example 4: Decreasing Powers 7:27 
  Adding and Subtracting Polynomials 15:51
   Intro 0:00 
   Adding Polynomials 0:07 
    Like Terms 0:18 
    Example 1:02 
   Subtracting Polynomials 2:44 
    Example 2:58 
   Example 1: Add Polynomials 5:11 
   Example 2: Subtract Polynomials 7:30 
   Example 3: Add and Subtract 9:35 
   Example 4: Add and Subtract 12:09 
  Multiplying Polynomials by Monomials 18:17
   Intro 0:00 
   Distributive Property 0:07 
    Example 0:54 
   Solving Equations 1:36 
    Isolate Variable and Solve 1:46 
   Example 1: Multiply 1:59 
   Example 2: Simplify 3:33 
   Example 3: Simplify 7:20 
   Example 4: Solve 13:37 
  Multiplying Polynomials 18:02
   Intro 0:00 
   Distributive Property 0:08 
    Example 0:54 
   FOIL Method 2:44 
    First, Outer, Inner, Last 3:20 
   Example 1: Multiply 5:32 
   Example 2: Multiply 7:27 
   Example 3: Multiply 9:41 
   Example 4: Multiply 13:56 
  Special Products 17:00
   Intro 0:00 
   Square of a Sum 0:06 
    Example 1:09 
   Square of a Difference 2:46 
    Example 3:22 
   Difference of Two Squares 4:50 
    Example 5:31 
   Example 1: Multiply 6:24 
   Example 2: Multiply 8:34 
   Example 3: Multiply 11:03 
   Example 4: Multiply 12:54 
VIII. Factoring
  Special Product 17:51
   Intro 0:00 
   Prime and Composite Numbers 0:09 
    Prime Number 0:12 
    Composite Number 0:42 
   Factored Forms 1:39 
    Prime Factored Form 1:40 
    Factored Form 2:21 
   Greatest Common Factor 3:55 
    Example: GCF for Number 4:19 
    Example: GCF for Monomial 6:00 
   Example 1: Prime Factored Form 7:51 
   Example 2: Factored Form 9:34 
   Example 3: GCF 11:12 
   Example 4: GCF 13:28 
  Factoring Using Greatest Common Factor 25:21
   Intro 0:00 
   Distributive Property 0:05 
    Example: Binomial 0:49 
    Example: Trinomial 2:18 
   Factoring by Grouping 4:17 
    Example: Four Terms 4:40 
   Zero Product Property 8:21 
    Example 9:01 
   Example 1: Factor the Polynomial 10:38 
   Example 2: Factor the Polynomial 13:43 
   Example 3: Factor the Polynomial 19:59 
   Example 4: Solve the Polynomial 22:58 
  Factoring Trinomials with Leading Coefficient of 1 27:11
   Intro 0:00 
   Factoring Trinomials 0:07 
    Leading Coefficient 0:11 
    Example 1:20 
   Rules for Signs 2:42 
    P and Q Both Positive 2:55 
    P and Q Both Negative 3:39 
    P and Q Opposite Signs 4:30 
   Solving Equations 5:18 
    Example 6:44 
   Example 1: Factor the Polynomial 7:41 
   Example 2: Factor the Polynomial 12:33 
   Example 3: Factor the Polynomial 16:39 
   Example 4: Solve the Polynomial 21:35 
  Factoring General Trinomials 46:09
   Intro 0:00 
   Factoring Trinomials 0:15 
    Example 2:42 
   Grouping 7:20 
    Example 7:35 
   Rules for Signs 10:51 
    Same as Leading Coefficient is 1 11:05 
   Greatest Common Factor 12:29 
    Use Whenever Possible 12:41 
    Example 12:59 
   Prime Polynomials 13:58 
    Example 14:33 
   Solving Equations 16:55 
    Example 17:25 
   Example 1: Factor the Polynomial 18:46 
   Example 2: Factor the Polynomial 25:23 
   Example 3: Factor the Polynomial 32:37 
   Example 4: Solve the Polynomial 36:18 
  Factoring the Difference of Two Squares 24:03
   Intro 0:00 
   Difference of Two Squares 0:08 
    Example 0:36 
   Factoring Using Several Techniques 2:23 
    Factoring the GCF 2:30 
    Example 3:22 
   Solving Equations 5:24 
    Example 5:50 
   Example 1: Factor the Polynomial 7:34 
   Example 2: Factor the Polynomial 9:11 
   Example 3: Factor the Polynomial 12:00 
   Example 4: Solve the Polynomial 18:31 
  Factoring Perfect Squares 18:10
   Intro 0:00 
   Perfect Squares 0:07 
    Example: Perfect Square Trinomials 1:12 
   Solving Equations 2:57 
    Square Root Property 3:09 
    Example 3:28 
   Example 1: Factor the Polynomial 5:09 
   Example 2: Factor the Polynomial 6:13 
   Example 3: Solve the Polynomial 8:43 
   Example 4: Solve the Polynomial 13:35 
IX. Quadratic Functions
  Graphing Quadratic Functions 35:45
   Intro 0:00 
   Parabolas 0:14 
    Standard Form of Quadratic Function 0:28 
    Examples 1:05 
    Absolute Value of 'a' 2:19 
   Parabolas That Open Upward 3:14 
    Minimum 3:48 
    Example 3:57 
   Parabolas That Open Downward 6:57 
    Example 7:17 
    Maximum 9:23 
   Vertex 9:53 
    Example 10:40 
   Axis of Symmetry 14:16 
    Example 15:03 
   Example 1: Graph the Quadratic 19:54 
   Example 2: Graph the Quadratic 24:12 
   Example 3: Vertex Maximum or Minimum 28:32 
   Example 4: Axis of Symmetry 31:13 
  Solving Equations by Graphing 40:42
   Intro 0:00 
   Solving a Quadratic Equation 0:08 
    Example 0:56 
   Two Distinct Solutions/Roots 8:10 
    Roots 8:23 
    Example: Graphs 8:40 
   One Double Root 9:19 
    Example: One X-Intercept 9:54 
   No Real Roots 14:03 
    Example 14:53 
   Estimating Solutions 18:41 
    Example: Not Integers 19:18 
   Example 1: Solve by Graphing 20:18 
   Example 2: Solve by Graphing 26:36 
   Example 3: Solve by Graphing 30:18 
   Example 4: Estimate by Graphing 34:59 
  Solving Equations by Completing the Square 28:13
   Intro 0:00 
   Perfect Square Trinomials 0:15 
    Example 0:36 
   Completing the Square 4:55 
    Example 6:20 
   Completing the Square to Solve Equations 9:19 
    Example 9:40 
   When the Leading Coefficient is Not 1 13:17 
    Example 14:01 
   Example 1: Solve the Equation 15:05 
   Example 2: Complete the Square 20:16 
   Example 3: Solve by Completing the Square 22:31 
   Example 4: Solve by Completing the Square 25:02 
  Solving Equations Using the Quadratic Formula 17:17
   Intro 0:00 
   Quadratic Formula 0:17 
    Standard Form 0:24 
    Example 1:00 
   Discriminant 3:14 
    Two Solutions and Both Real 3:40 
    One Real Solution 4:07 
    No Real Solutions 4:28 
   Example 1: Solve the Equation 6:25 
   Example 2: Solve the Equation 8:42 
   Example 3: Solve the Equation 12:02 
   Example 4: Number of Real Roots 15:23 
X. Radical Expressions and Equations
  Simplifying Radical Expressions 41:30
   Intro 0:00 
   Radical Expression 0:12 
    Example: Radicand Simplest Form 0:29 
    Example: Not Simplest Form 1:16 
    Principal Square Root (Positive) 2:43 
   Product Property 3:40 
    Examples 4:05 
   Square Roots of Variables with Even Powers 7:01 
    Eliminate Radical Sign 7:42 
    Divide Exponent by 2 7:57 
    Absolute Value of Result 8:29 
    Examples 8:52 
   Quotient Rule 14:12 
    Example 14:31 
   Rationalizing Denominators 16:08 
    Example 16:43 
   Conjugates 18:33 
    Example 19:53 
   Simplest Radical Form 20:58 
    Three Criteria 21:10 
   Example 1: Simplify Expression 21:57 
   Example 2: Simplify Expression 25:12 
   Example 3: Simplify Expression 31:37 
   Example 4: Simplify Expression 35:29 
  Operations with Radical Expressions 21:52
   Intro 0:00 
   Adding and Subtracting Radical Expressions 0:13 
    Like Radicals 0:28 
    Distributive Property 1:10 
   Multiplying Radical Expressions 4:24 
    Example: Use FOIL 4:44 
   Example 1: Simplify Expression 7:07 
   Example 2: Simplify Expression 8:51 
   Example 3: Simplify Expression 12:14 
   Example 4: Simplify Expression 16:06 
  Solving Radical Equations 27:00
   Intro 0:00 
   Radical Equations 0:15 
    Examples 0:30 
   Solving a Radical Equation 1:13 
    Isolate Radical 1:18 
    Square Both Sides 1:38 
    Example 1:44 
   Extraneous Solutions 2:57 
    Example: Check Solutions 3:30 
   Example 1: Solve Equation 6:29 
   Example 2: Solve Equation 9:52 
   Example 3: Solve Equation 14:29 
   Example 4: Solve Equation 20:53 
  Pythagorean Theorem 17:24
   Intro 0:00 
   Right Triangles 0:06 
    Vertex 0:32 
    Hypotenuse 0:56 
    Legs 1:11 
   Pythagorean Theorem 1:21 
    Graphical Representation 1:37 
    Example 2:39 
   Pythagorean Triples 3:40 
    Example 3:56 
   Converse of the Pythagorean Theorem 4:36 
    Example 6:23 
   Example 1: Length of Hypotenuse 7:24 
   Example 2: Length of Legs 9:02 
   Example 3: Area of Triangle 12:00 
   Example 4: Length of Side 14:59 
  Distance Formula 26:50
   Intro 0:00 
   Distance Formula 0:09 
    Similarity to Pythagorean Theorem 0:21 
   Missing Coordinates 5:50 
    Example 6:22 
   Example 1: Distance Between Points 11:43 
   Example 2: Distance Between Points 14:05 
   Example 3: Distance Between Points 18:18 
   Example 4: Missing Coordinate 21:57 
XI. Rational Expressions and Equations
  Inverse Variation 24:13
   Intro 0:00 
    Direct Variation 0:12 
   Inverse Variation 0:24 
    Constant of Variation k 0:50 
    Y Varies Inversely as X 0:59 
   Graphing Inverse Variation 3:09 
    Real World Applications 3:24 
    Example 3:59 
   Product Rule 10:19 
    Alternate Form 11:10 
    Finding Missing 4th Point 11:24 
   Example 1: Graph Inverse Variation 11:36 
   Example 2: Graph Inverse Variation 14:47 
   Example 3: Find Missing Point 19:39 
   Example 4: Find Missing Point 21:53 
  Rational Expressions 34:22
   Intro 0:00 
   Rational Expressions 0:10 
    Examples 0:28 
   Excluded Values 1:03 
    Dividing by 0 1:29 
    Example 2:49 
   Simplifying Rational Expressions 7:12 
    Eliminating the GCF 7:17 
    Example: Regular Fraction 7:30 
    Example: Rational Expression 8:12 
   Simplifying and Excluded Values 10:15 
    Original Rational Expression 10:24 
    Example 10:47 
   Example 1: Find Excluded Values 13:47 
   Example 2: Simplify and Find Excluded Values 16:10 
   Example 3: Simplify and Find Excluded Values 22:04 
   Example 4: Simplify and Find Excluded Values 26:29 
  Multiplying Rational Expressions 22:58
   Intro 0:00 
   Procedure 0:08 
    Examples 0:29 
   Cancel Before Multiplication 1:53 
    Example 2:04 
   Rational Expressions Containing Polynomials 3:18 
    Example 3:46 
   Example 1: Multiply Rational Expressions 6:04 
   Example 2: Multiply Rational Expressions 9:11 
   Example 3: Multiply Rational Expressions 11:19 
   Example 4: Multiply Rational Expressions 17:36 
  Dividing Rational Expressions 21:49
   Intro 0:00 
   Procedure 0:10 
    Reciprocal of Expression 0:22 
    Example: Regular Fractions 0:44 
    Example: Rational Expressions 1:46 
   Cancel Before Multiplying 3:23 
    Why Cancel 3:45 
    Example 4:15 
   Rational Expressions Containing Polynomials 6:46 
    Example 7:06 
   Example 1: Divide Rational Expressions 9:15 
   Example 2: Divide Rational Expressions 13:11 
   Example 3: Divide Rational Expressions 15:39 
  Dividing Polynomials 35:57
   Intro 0:00 
   Dividing a Polynomial by a Monomial 0:11 
    Example: Regular Fractions 0:36 
    Example: Polynomials 1:24 
   Dividing a Polynomial by a Binomial 2:56 
    Example: Dividend and Divisor 3:30 
   Long Division 5:28 
    Example: Regular Numbers 5:49 
    Example: Polynomials 7:17 
   Missing Terms 12:20 
    Definition 12:40 
    Example 12:55 
   Example 1: Divide the Polynomials 18:42 
   Example 2: Divide the Polynomials 20:54 
   Example 3: Divide the Polynomials 23:28 
   Example 4: Divide the Polynomials 28:52 
  Adding and Subtracting Rational Expressions with Like Denominators 17:38
   Intro 0:00 
   Adding with Like Denominators 0:09 
    Example: Regular Numbers 0:19 
    Example: Rational Expressions 1:05 
   Subtracting with Like Denominators 2:35 
    Example: Regular Fractions 2:52 
    Example: Rational Expressions 3:05 
   Denominators That Are Additive Inverses 4:08 
    What Are Additive Inverses 4:35 
    Example 5:53 
   Example 1: Add Rational Expressions 7:54 
   Example 2: Subtract Rational Expressions 8:43 
   Example 3: Add Rational Expressions 10:39 
   Example 4: Subtract Rational Expressions 11:48 
  Adding and Subtracting Rational Expressions with Unlike Denominators 37:16
   Intro 0:00 
   Least Common Multiple of Polynomials 0:21 
    Example: Regular Fractions 0:42 
    Example: Rational Expressions 5:18 
   Equivalent Rational Expressions Using LCM 7:23 
    Example 8:09 
   Adding and Subtracting 14:24 
    Summary of Techniques 14:32 
   Example 1: Find the LCM 15:09 
   Example 2: Add Rational Expressions 17:53 
   Example 3: Subtract Rational Expressions 22:19 
   Example 4: Add Rational Expressions 30:44 
  Complex Fractions 25:38
   Intro 0:00 
   Mixed Expressions 0:10 
    Analogy to Mixed Fractions 0:23 
    Polynomial and Rational Expression 0:59 
    Example: Combining 1:55 
    Converting to Rational Expression 2:29 
   Complex Fraction 5:16 
    Examples 5:30 
   Simplifying Complex Fractions 6:08 
    Example 6:27 
   Example 1: Write as Rational Expression 9:43 
   Example 2: Simplify Complex Fractions 12:44 
   Example 3: Simplify Complex Fractions 15:03 
   Example 4: Simplify Complex Fractions 19:55 
  Rational Equations 38:09
   Intro 0:00 
   Definition 0:11 
    Example: Cross Multiplication 0:39 
    Example: Rational Expressions 1:13 
   Solving Rational Equations 3:12 
    Multiply by LCM of Denominators 3:33 
    Example 4:02 
   Work Problems 7:19 
    Example: Complete a Project 8:17 
   Extraneous Solutions 12:41 
    Check All Solutions 13:18 
    Example 13:54 
   Example 1: Solve Rational Equation 17:28 
   Example 2: Solve Rational Equation 19:45 
   Example 3: Work Problem 27:15 
   Example 4: Solve Rational Equation 31:10