I. Properties of Real Numbers 

Basic Types of Numbers 
30:41 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Basic Types of Numbers 
0:36  
 
 Natural Numbers 
1:02  
 
 Whole Numbers 
1:29  
 
 Integers 
2:04  
 
 Rational Numbers 
2:38  
 
 Irrational Numbers 
5:06  
 
 Imaginary Numbers 
6:48  
 
Basic Types of Numbers Cont. 
8:09  
 
 The Big Picture 
8:10  
 
 Real vs. Imaginary Numbers 
8:30  
 
 Rational vs. Irrational Numbers 
8:48  
 
Basic Types of Numbers Cont. 
10:55  
 
 Number Line 
11:06  
 
 Absolute Value 
11:44  
 
 Inequalities 
12:39  
 
Example 1 
13:16  
 
Example 2 
17:30  
 
Example 3 
21:56  
 
Example 4 
24:27  
 
Example 5 
27:48  

Operations on Numbers 
19:26 
 
Intro 
0:00  
 
Objectives 
0:06  
 
Operations on Numbers 
0:25  
 
 Addition 
0:53  
 
 Subtraction 
1:33  
 
 Multiplication & Division 
2:19  
 
 Exponents 
3:24  
 
 Bases 
4:04  
 
 Square Roots 
4:59  
 
 Principle Square Roots 
5:09  
 
 Perfect Squares 
6:32  
 
 Simplifying and Combining Roots 
6:52  
 
Example 1 
8:16  
 
Example 2 
12:30  
 
Example 3 
14:02  
 
Example 4 
16:27  

Order of Operations 
12:06 
 
Intro 
0:00  
 
Objectives 
0:06  
 
The Order of Operations 
0:25  
 
 Work Inside Parentheses 
0:42  
 
 Simplify Exponents 
0:52  
 
 Multiplication & Division from Left to Right 
0:57  
 
 Addition & Subtraction from Left to Right 
1:11  
 
 Remember PEMDAS 
1:21  
 
The Order of Operations Cont. 
2:27  
 
 Example 
2:43  
 
Example 1 
3:55  
 
Example 2 
5:36  
 
Example 3 
7:35  
 
Example 4 
8:56  

Properties of Real Numbers 
18:52 
 
Intro 
0:00  
 
Objectives 
0:07  
 
The Properties of Real Numbers 
0:23  
 
 Commutative Property of Addition and Multiplication 
0:44  
 
 Associative Property of Addition and Multiplication 
1:50  
 
 Distributive Property of Multiplication Over Addition 
3:20  
 
 Division Property of Zero 
4:46  
 
 Division Property of One 
5:23  
 
 Multiplication Property of Zero 
5:56  
 
 Multiplication Property of One 
6:17  
 
 Addition Property of Zero 
6:29  
 
 Why Are These Properties Important? 
6:53  
 
Example 1 
9:16  
 
Example 2 
13:04  
 
Example 3 
14:30  
 
Example 4 
16:57  
II. Linear Equations 

The Vocabulary of Linear Equations 
12:22 
 
Intro 
0:00  
 
Objectives 
0:09  
 
The Vocabulary of Linear Equations 
0:44  
 
 Variables 
0:52  
 
 Terms 
1:09  
 
 Coefficients 
1:40  
 
 Like Terms 
2:18  
 
 Examples of Like Terms 
2:37  
 
 Expressions 
4:01  
 
 Equations 
4:26  
 
 Linear Equations 
5:04  
 
 Solutions 
5:55  
 
Example 1 
6:16  
 
Example 2 
7:16  
 
Example 3 
8:45  
 
Example 4 
10:20  

Solving Linear Equations in One Variable 
28:52 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Solving Linear Equations in One Variable 
0:34  
 
 Conditional Cases 
0:51  
 
 Identity Cases 
1:09  
 
 Contradiction Cases 
1:30  
 
Solving Linear Equations in One Variable Cont. 
2:00  
 
 Addition Property of Equality 
2:10  
 
 Multiplication Property of Equality 
2:43  
 
 Steps to Solve Linear Equations 
3:14  
 
Example 1 
4:22  
 
Example 2 
8:21  
 
Example 3 
12:32  
 
Example 4 
14:19  
 
Example 5 
17:25  
 
Example 6 
22:17  

Solving Formulas 
12:02 
 
Intro 
0:00  
 
Objectives 
0:06  
 
Solving Formulas 
0:18  
 
 Formulas 
0:26  
 
 Use the Same Properties as Solving Linear Equations 
1:36  
 
 Addition Property of Equality 
1:55  
 
 Multiplication Property of Equality 
1:58  
 
 Steps to Solve Formulas 
2:43  
 
Example 1 
3:56  
 
Example 2 
6:09  
 
Example 3 
8:39  

Applications of Linear Equations 
28:41 
 
Intro 
0:00  
 
Objectives 
0:10  
 
Applications of Linear Equations 
0:43  
 
 The SixStep Method to Solving Word Problems 
0:55  
 
 Common Terms 
3:12  
 
Example 1 
5:03  
 
Example 2 
9:40  
 
Example 3 
13:48  
 
Example 4 
17:58  
 
Example 5 
23:28  

Applications of Linear Equations, Motion & Mixtures 
24:26 
 
Intro 
0:00  
 
Objectives 
0:21  
 
Motion and Mixtures 
0:46  
 
 Motion Problems: Distance, Rate, and Time 
1:06  
 
 Mixture Problems: Amount, Percent, and Total 
1:27  
 
 The Table Method 
1:58  
 
 The Beaker Method 
3:38  
 
Example 1 
5:05  
 
Example 2 
9:44  
 
Example 3 
14:20  
 
Example 4 
19:13  
III. Graphing 

Rectangular Coordinate System 
22:55 
 
Intro 
0:00  
 
Objectives 
0:11  
 
The Rectangular Coordinate System 
0:39  
 
 The Cartesian Coordinate System 
0:40  
 
 XAxis 
0:54  
 
 YAxis 
1:04  
 
 Origin 
1:11  
 
 Quadrants 
1:26  
 
 Ordered Pairs 
2:10  
 
Example 1 
2:55  
 
The Rectangular Coordinate System Cont. 
6:09  
 
 XIntercept 
6:45  
 
 YIntercept 
6:55  
 
 Relation of XValues and YValues 
7:30  
 
Example 2 
11:03  
 
Example 3 
12:13  
 
Example 4 
14:10  
 
Example 5 
18:38  

Slope & Graphing 
27:58 
 
Intro 
0:00  
 
Objectives 
0:11  
 
Slope and Graphing 
0:48  
 
 Standard Form 
1:14  
 
Example 1 
2:24  
 
Slope and Graphing Cont. 
4:58  
 
 Slope, m 
5:07  
 
 Slope is Rise over Run 
6:11  
 
 Don't Mix Up the Coordinates 
8:20  
 
Example 2 
9:39  
 
Slope and Graphing Cont. 
14:26  
 
 SlopeIntercept Form 
14:34  
 
Example 3 
16:55  
 
Example 4 
18:00  
 
Slope and Graphing Cont. 
19:00  
 
 Rewriting an Equation in SlopeIntercept Form 
19:39  
 
 Rewriting an Equation in Standard Form 
20:09  
 
 Slopes of Vertical & Horizontal Lines 
20:56  
 
Example 5 
22:49  
 
Example 6 
24:09  
 
Example 7 
25:59  
 
Example 8 
26:57  

Linear Equations in Two Variables 
20:36 
 
Intro 
0:00  
 
Objectives 
0:13  
 
Linear Equations in Two Variables 
0:36  
 
 PointSlope Form 
1:07  
 
 Substitute in the Point and the Slope 
2:21  
 
 Parallel Lines: Two Lines with the Same Slope 
4:05  
 
 Perpendicular Lines: Slopes are Negative Reciprocals of Each Other 
4:39  
 
 Perpendicular Lines: Product of Slopes is 1 
5:24  
 
Example 1 
6:02  
 
Example 2 
7:50  
 
Example 3 
10:49  
 
Example 4 
13:26  
 
Example 5 
15:30  
 
Example 6 
17:43  
IV. Functions 

Introduction to Functions 
21:24 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Introduction to Functions 
0:58  
 
 Relations 
1:03  
 
 Functions 
1:37  
 
 Independent Variables 
2:00  
 
 Dependent Variables 
2:11  
 
 Function Notation 
2:21  
 
Function 
3:43  
 
 Input and Output 
3:53  
 
Introduction to Functions Cont. 
4:45  
 
 Domain 
4:46  
 
 Range 
4:55  
 
 Functions Represented by a Diagram 
6:41  
 
 Natural Domain 
9:11  
 
 Evaluating Functions 
12:02  
 
Example 1 
13:13  
 
Example 2 
15:03  
 
Example 3 
16:18  
 
Example 4 
19:54  

Graphing Functions 
16:12 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Graphing Functions 
0:54  
 
 Using SlopeIntercept Form 
1:56  
 
 Vertical Line Test 
2:58  
 
 Determining the Domain 
4:20  
 
 Determining the Range 
5:43  
 
Example 1 
6:06  
 
Example 2 
7:18  
 
Example 3 
8:31  
 
Example 4 
11:04  
V. Systems of Linear Equations 

Systems of Linear Equations 
25:54 
 
Intro 
0:00  
 
Objectives 
0:13  
 
Systems of Linear Equations 
0:46  
 
 System of Equations 
0:51  
 
 System of Linear Equations 
1:15  
 
 Solutions 
1:35  
 
 Points as Solutions 
1:53  
 
 Finding Solutions Graphically 
5:13  
 
Example 1 
6:37  
 
Example 2 
12:07  
 
Systems of Linear Equations Cont. 
17:01  
 
 One Solution, No Solution, or Infinite Solutions 
17:10  
 
Example 3 
18:31  
 
Example 4 
22:37  

Solving a System Using Substitution 
20:01 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Solving a System Using Substitution 
0:32  
 
 Substitution Method 
1:24  
 
 Substitution Example 
2:35  
 
 One Solution, No Solution, or Infinite Solutions 
7:50  
 
Example 1 
9:45  
 
Example 2 
12:48  
 
Example 3 
15:01  
 
Example 4 
17:30  

Solving a System Using Elimination 
19:40 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Solving a System Using Elimination 
0:27  
 
 Elimination Method 
0:42  
 
 Elimination Example 
2:01  
 
 One Solution, No Solution, or Infinite Solutions 
7:05  
 
Example 1 
8:53  
 
Example 2 
11:46  
 
Example 3 
15:37  
 
Example 4 
17:45  

Applications of Systems of Equations 
24:34 
 
Intro 
0:00  
 
Objectives 
0:12  
 
Applications of Systems of Equations 
0:30  
 
 Word Problems 
1:31  
 
Example 1 
2:17  
 
Example 2 
7:55  
 
Example 3 
13:07  
 
Example 4 
17:15  
VI. Inequalities 

Solving Linear Inequalities in One Variable 
17:13 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Solving Linear Inequalities in One Variable 
0:37  
 
 Inequality Expressions 
0:46  
 
 Linear Inequality Solution Notations 
3:40  
 
 Inequalities 
3:51  
 
 Interval Notation 
4:04  
 
 Number Lines 
4:43  
 
 Set Builder Notation 
5:24  
 
 Use Same Techniques as Solving Equations 
6:59  
 
 'Flip' the Sign when Multiplying or Dividing by a Negative Number 
7:12  
 
 'Flip' Example 
7:50  
 
Example 1 
8:54  
 
Example 2 
11:40  
 
Example 3 
14:01  

Compound Inequalities 
16:13 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Compound Inequalities 
0:37  
 
 'And' vs. 'Or' 
0:44  
 
 'And' 
3:24  
 
 'Or' 
3:35  
 
 'And' Symbol, or Intersection 
3:51  
 
 'Or' Symbol, or Union 
4:13  
 
 Inequalities 
4:41  
 
Example 1 
6:22  
 
Example 2 
9:30  
 
Example 3 
11:27  
 
Example 4 
13:49  

Solving Equations with Absolute Values 
14:12 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Solve Equations with Absolute Values 
0:18  
 
Solve Equations with Absolute Values Cont. 
1:11  
 
 Steps to Solving Equations with Absolute Values 
2:21  
 
Example 1 
3:23  
 
Example 2 
6:34  
 
Example 3 
10:12  

Inequalities with Absolute Values 
17:07 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Inequalities with Absolute Values 
0:23  
 
 Recall… 
2:08  
 
Example 1 
3:39  
 
Example 2 
6:06  
 
Example 3 
8:14  
 
Example 4 
10:29  
 
Example 5 
13:29  

Graphing Inequalities in Two Variables 
15:33 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Graphing Inequalities in Two Variables 
0:32  
 
 Split Graph into Two Regions 
1:53  
 
Graphing Inequalities 
5:44  
 
 Test Points 
6:20  
 
Example 1 
7:11  
 
Example 2 
10:17  
 
Example 3 
13:06  

Systems of Inequalities 
21:13 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Systems of Inequalities 
0:24  
 
 Test Points 
1:10  
 
 Steps to Solve Systems of Inequalities 
1:25  
 
Example 1 
2:23  
 
Example 2 
7:28  
 
Example 3 
12:51  
VII. Polynomials 

Integer Exponents 
44:51 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Integer Exponents 
0:42  
 
 Exponents 'Package' Multiplication 
1:25  
 
Example 1 
2:00  
 
Example 2 
3:13  
 
Integer Exponents Cont. 
4:50  
 
 Product Rule for Exponents 
4:51  
 
Example 3 
7:16  
 
Example 4 
10:15  
 
Integer Exponents Cont. 
13:13  
 
 Power Rule for Exponents 
13:14  
 
 Power Rule with Multiplication and Division 
15:33  
 
Example 5 
16:18  
 
Integer Exponents Cont. 
20:04  
 
Example 6 
20:41  
 
Integer Exponents Cont. 
25:52  
 
 Zero Exponent Rule 
25:53  
 
 Quotient Rule 
28:24  
 
 Negative Exponents 
30:14  
 
 Negative Exponent Rule 
32:27  
 
Example 7 
34:05  
 
Example 8 
36:15  
 
Example 9 
39:33  
 
Example 10 
43:16  

Adding & Subtracting Polynomials 
18:33 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Adding and Subtracting Polynomials 
0:25  
 
 Terms 
0:33  
 
 Coefficients 
0:51  
 
 Leading Coefficients 
1:13  
 
 Like Terms 
1:29  
 
 Polynomials 
2:21  
 
 Monomials, Binomials, Trinomials, and Polynomials 
5:41  
 
 Degrees 
7:00  
 
 Evaluating Polynomials 
8:12  
 
Adding and Subtracting Polynomials Cont. 
9:25  
 
Example 1 
11:48  
 
Example 2 
13:00  
 
Example 3 
14:41  
 
Example 4 
16:15  

Multiplying Polynomials 
25:07 
 
Intro 
0:00  
 
Objectives 
0:06  
 
Multiplying Polynomials 
0:41  
 
 Distributive Property 
1:00  
 
Example 1 
2:49  
 
Multiplying Polynomials Cont. 
8:22  
 
 Organize Terms with a Table 
8:23  
 
Example 2 
13:40  
 
Multiplying Polynomials Cont. 
16:33  
 
 Multiplying Binomials with FOIL 
16:48  
 
Example 3 
18:49  
 
Example 4 
20:04  
 
Example 5 
21:42  

Dividing Polynomials 
44:56 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Dividing Polynomials 
0:29  
 
 Dividing Polynomials by Monomials 
2:10  
 
 Dividing Polynomials by Polynomials 
2:59  
 
 Dividing Numbers 
4:09  
 
 Dividing Polynomials Example 
8:39  
 
Example 1 
12:35  
 
Example 2 
14:40  
 
Example 3 
16:45  
 
Example 4 
21:13  
 
Example 5 
24:33  
 
Example 6 
29:02  
 
 Dividing Polynomials with Synthetic Division Method 
33:36  
 
Example 7 
38:43  
 
Example 8 
42:24  
VIII. Factoring Polynomials 

Greatest Common Factor & Factor by Grouping 
28:27 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Greatest Common Factor 
0:31  
 
 Factoring 
0:40  
 
 Greatest Common Factor (GCF) 
1:48  
 
 GCF for Polynomials 
3:28  
 
 Factoring Polynomials 
6:45  
 
 Prime 
8:21  
 
Example 1 
9:14  
 
Factor by Grouping 
14:30  
 
 Steps to Factor by Grouping 
17:03  
 
Example 2 
17:43  
 
Example 3 
19:20  
 
Example 4 
20:41  
 
Example 5 
22:29  
 
Example 6 
26:11  

Factoring Trinomials 
21:44 
 
Intro 
0:00  
 
Objectives 
0:06  
 
Factoring Trinomials 
0:25  
 
 Recall FOIL 
0:26  
 
 Factor a Trinomial by Reversing FOIL 
1:52  
 
 Tips when Using Reverse FOIL 
5:31  
 
Example 1 
7:04  
 
Example 2 
9:09  
 
Example 3 
11:15  
 
Example 4 
13:41  
 
Factoring Trinomials Cont. 
15:50  
 
Example 5 
18:42  

Factoring Trinomials Using the AC Method 
30:09 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Factoring Trinomials Using the AC Method 
0:27  
 
 Factoring when Leading Term has Coefficient Other Than 1 
1:07  
 
 Reversing FOIL 
1:18  
 
Example 1 
1:46  
 
Example 2 
4:28  
 
Factoring Trinomials Using the AC Method Cont. 
7:45  
 
 The AC Method 
8:03  
 
 Steps to Using the AC Method 
8:19  
 
 Tips on Using the AC Method 
9:29  
 
Example 3 
10:45  
 
Example 4 
16:50  
 
Example 5 
21:08  
 
Example 6 
24:58  

Special Factoring Techniques 
30:14 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Special Factoring Techniques 
0:26  
 
 Difference of Squares 
1:46  
 
 Perfect Square Trinomials 
2:38  
 
 No Sum of Squares 
3:32  
 
Special Factoring Techniques Cont. 
4:03  
 
 Difference of Squares Example 
4:04  
 
 Perfect Square Trinomials Example 
5:29  
 
Example 1 
7:31  
 
Example 2 
9:59  
 
Example 3 
11:47  
 
Example 4 
15:09  
 
Special Factoring Techniques Cont. 
19:07  
 
 Sum of Cubes and Difference of Cubes 
19:08  
 
Example 5 
23:13  
 
Example 6 
26:12  
IX. Quadratic Equations 

Solving Quadratic Equations by Factoring 
23:38 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Solving Quadratic Equations by Factoring 
0:19  
 
 Quadratic Equations 
0:20  
 
 Zero Factor Property 
1:39  
 
 Zero Factor Property Example 
2:34  
 
Example 1 
4:00  
 
Solving Quadratic Equations by Factoring Cont. 
5:54  
 
Example 2 
7:28  
 
Example 3 
11:09  
 
Example 4 
14:22  
 
Solving Quadratic Equations by Factoring Cont. 
18:17  
 
 Higher Degree Polynomial Equations 
18:18  
 
Example 5 
20:22  

Solving Quadratic Equations 
29:27 
 
Intro 
0:00  
 
Objectives 
0:12  
 
Solving Quadratic Equations 
0:29  
 
 Linear Factors 
0:38  
 
 Not All Quadratics Factor Easily 
1:22  
 
 Principle of Square Roots 
3:36  
 
 Completing the Square 
4:50  
 
 Steps for Using Completing the Square 
5:15  
 
 Completing the Square Works on All Quadratic Equations 
6:41  
 
 The Quadratic Formula 
7:28  
 
 Discriminants 
8:25  
 
 Solving Quadratic Equations  Summary 
10:11  
 
Example 1 
11:54  
 
Example 2 
13:03  
 
Example 3 
16:30  
 
Example 4 
21:29  
 
Example 5 
25:07  

Equations in Quadratic Form 
16:47 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Equations in Quadratic Form 
0:24  
 
 Using a Substitution 
0:53  
 
 USubstitution 
1:26  
 
Example 1 
2:07  
 
Example 2 
5:36  
 
Example 3 
8:31  
 
Example 4 
11:14  

Quadratic Formulas & Applications 
29:04 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Quadratic Formulas and Applications 
0:35  
 
 Squared Variable 
0:40  
 
 Principle of Square Roots 
0:51  
 
Example 1 
1:09  
 
Example 2 
2:04  
 
Quadratic Formulas and Applications Cont. 
3:34  
 
Example 3 
4:42  
 
Example 4 
13:33  
 
Example 5 
20:50  

Graphs of Quadratics 
26:53 
 
Intro 
0:00  
 
Objectives 
0:06  
 
Graphs of Quadratics 
0:39  
 
 Axis of Symmetry 
1:46  
 
 Vertex 
2:12  
 
 Transformations 
2:57  
 
 Graphing in Quadratic Standard Form 
3:23  
 
Example 1 
5:06  
 
Example 2 
6:02  
 
Example 3 
9:07  
 
Graphs of Quadratics Cont. 
11:26  
 
 Completing the Square 
12:02  
 
 Vertex Shortcut 
12:16  
 
Example 4 
13:49  
 
Example 5 
17:25  
 
Example 6 
20:07  
 
Example 7 
23:43  

Polynomial Inequalities 
21:42 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Polynomial Inequalities 
0:30  
 
 Solving Polynomial Inequalities 
1:20  
 
Example 1 
2:45  
 
Polynomial Inequalities Cont. 
5:12  
 
 Larger Polynomials 
5:13  
 
 Positive or Negative Intervals 
7:16  
 
Example 2 
9:01  
 
Example 3 
13:53  
X. Rational Equations 

Multiply & Divide Rational Expressions 
26:41 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Multiply and Divide Rational Expressions 
0:44  
 
 Rational Numbers 
0:55  
 
 Dividing by Zero 
1:45  
 
 Canceling Extra Factors 
2:43  
 
 Negative Signs in Fractions 
4:52  
 
 Multiplying Fractions 
6:26  
 
 Dividing Fractions 
7:17  
 
Example 1 
8:04  
 
Example 2 
14:01  
 
Example 3 
16:23  
 
Example 4 
18:56  
 
Example 5 
22:43  

Adding & Subtracting Rational Expressions 
20:24 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Adding and Subtracting Rational Expressions 
0:41  
 
 Common Denominators 
0:52  
 
 Common Denominator Examples 
1:14  
 
 Steps to Adding and Subtracting Rational Expressions 
2:39  
 
Example 1 
3:34  
 
Example 2 
5:27  
 
Adding and Subtracting Rational Expressions Cont. 
6:57  
 
 Least Common Denominators 
6:58  
 
 Transitioning from Fractions to Rational Expressions 
9:08  
 
 Identifying Least Common Denominators for Rational Expressions 
9:56  
 
 Subtracting vs. Adding 
10:41  
 
Example 3 
11:19  
 
Example 4 
12:36  
 
Example 5 
15:08  
 
Example 6 
16:46  

Complex Fractions 
18:23 
 
Intro 
0:00  
 
Objectives 
0:09  
 
Complex Fractions 
00:37  
 
 Dividing to Simplify Complex Fractions 
1:10  
 
Example 1 
2:03  
 
Example 2 
3:58  
 
Complex Fractions Cont. 
9:15  
 
 Using the Least Common Denominator to Simplify Complex Fractions 
9:16  
 
 Both Methods Lead to the Same Answer 
10:07  
 
Example 3 
10:42  
 
Example 4 
14:28  

Solving Rational Equations 
16:24 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Solving Rational Equations 
0:23  
 
 Isolate the Specified Variable 
1:23  
 
Example 1 
1:58  
 
Example 2 
5:00  
 
Example 3 
8:23  
 
Example 4 
13:25  

Rational Inequalities 
18:54 
 
Intro 
0:00  
 
Objectives 
0:06  
 
Rational Inequalities 
0:18  
 
 Testing Intervals for Rational Inequalities 
0:38  
 
 Steps to Solving Rational Inequalities 
1:05  
 
 Tips to Solving Rational Inequalities 
2:27  
 
Example 1 
3:33  
 
Example 2 
12:21  

Applications of Rational Expressions 
20:20 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Applications of Rational Expressions 
0:27  
 
 Work Problems 
1:05  
 
Example 1 
2:58  
 
Example 2 
6:45  
 
Example 3 
13:17  
 
Example 4 
16:37  

Variation & Proportion 
27:04 
 
Intro 
0:00  
 
Objectives 
0:10  
 
Variation and Proportion 
0:34  
 
 Variation 
0:35  
 
 Inverse Variation 
1:01  
 
 Direct Variation 
1:10  
 
 Setting Up Proportions 
1:31  
 
Example 1 
2:27  
 
Example 2 
5:36  
 
Variation and Proportion Cont. 
8:29  
 
 Inverse Variation 
8:30  
 
Example 3 
9:20  
 
Variation and Proportion Cont. 
12:41  
 
 Constant of Proportionality 
12:42  
 
Example 4 
13:59  
 
Variation and Proportion Cont. 
16:17  
 
 Varies Directly as the nth Power 
16:30  
 
 Varies Inversely as the nth Power 
16:53  
 
 Varies Jointly 
17:09  
 
 Combining Variation Models 
17:36  
 
Example 5 
19:09  
 
Example 6 
22:10  
XI. Radical Equations 

Rational Exponents 
14:32 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Rational Exponents 
0:32  
 
 Power on Top, Root on Bottom 
1:05  
 
Example 1 
1:37  
 
Rational Exponents Cont. 
4:04  
 
 Using Rules from Exponents for Radicals as Exponents 
4:05  
 
 Combining Terms Under a Single Root 
4:50  
 
Example 2 
5:21  
 
Example 3 
7:39  
 
Example 4 
11:23  
 
Example 5 
13:14  

Simplify Rational Exponents 
15:12 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Simplify Rational Exponents 
0:25  
 
 Product Rule for Radicals 
0:26  
 
 Product Rule to Simplify Square Roots 
1:11  
 
 Quotient Rule for Radicals 
1:42  
 
 Applications of Product and Quotient Rules 
2:17  
 
 Higher Roots 
2:48  
 
Example 1 
3:39  
 
Example 2 
6:35  
 
Example 3 
8:41  
 
Example 4 
11:09  

Adding & Subtracting Radicals 
17:22 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Adding and Subtracting Radicals 
0:33  
 
 Like Terms 
1:29  
 
 Bases and Exponents May be Different 
2:02  
 
 Bases and Powers Must be Same when Adding and Subtracting 
2:42  
 
 Add Radicals' Coefficients 
3:55  
 
Example 1 
4:47  
 
Example 2 
6:00  
 
Adding and Subtracting Radicals Cont. 
7:10  
 
 Simplify the Bases to Look the Same 
7:25  
 
Example 3 
8:23  
 
Example 4 
11:45  
 
Example 5 
15:10  

Multiply & Divide Radicals 
19:24 
 
Intro 
0:00  
 
Objectives 
0:08  
 
Multiply and Divide Radicals 
0:25  
 
 Rules for Working With Radicals 
0:26  
 
 Using FOIL for Radicals 
1:11  
 
 Don’t Distribute Powers 
2:54  
 
 Dividing Radical Expressions 
4:25  
 
 Rationalizing Denominators 
6:40  
 
Example 1 
7:22  
 
Example 2 
8:32  
 
Multiply and Divide Radicals Cont. 
9:23  
 
 Rationalizing Denominators with Higher Roots 
9:25  
 
Example 3 
10:51  
 
Example 4 
11:53  
 
Multiply and Divide Radicals Cont. 
13:13  
 
 Rationalizing Denominators with Conjugates 
13:14  
 
Example 5 
15:52  
 
Example 6 
17:25  

Solving Radical Equations 
15:05 
 
Intro 
0:00  
 
Objectives 
0:07  
 
Solving Radical Equations 
0:17  
 
 Radical Equations 
0:18  
 
 Isolate the Roots and Raise to Power 
0:34  
 
Example 1 
1:13  
 
Example 2 
3:09  
 
Solving Radical Equations Cont. 
7:04  
 
 Solving Radical Equations with More than One Radical 
7:05  
 
Example 3 
7:54  
 
Example 4 
13:07  

Complex Numbers 
29:16 
 
Intro 
0:00  
 
Objectives 
0:06  
 
Complex Numbers 
1:05  
 
 Imaginary Numbers 
1:08  
 
 Complex Numbers 
2:27  
 
 Real Parts 
2:48  
 
 Imaginary Parts 
2:51  
 
 Commutative, Associative, and Distributive Properties 
3:35  
 
 Adding and Subtracting Complex Numbers 
4:04  
 
 Multiplying Complex Numbers 
6:16  
 
 Dividing Complex Numbers 
8:59  
 
 Complex Conjugate 
9:07  
 
 Simplifying Powers of i 
14:34  
 
 Shortcut for Simplifying Powers of i 
18:33  
 
Example 1 
21:14  
 
Example 2 
22:15  
 
Example 3 
23:38  
 
Example 4 
26:33  