Section 1: Basic Concepts 

Variables and Expressions 
24:05 
 
Intro 
0:00  
 
Definitions 
0:20  
 
 Variable 
0:27  
 
 Algebraic Expression 
2:21  
 
 Arithmetic Operations 
2:27  
 
Lecture Example 1 
7:16  
 
Lecture Example 2 
8:27  
 
Additional Example 3 
6:30  
 
Additional Example 4 
6:19  

Order of Operations 
22:16 
 
Intro 
0:00  
 
 Why We Need It 
0:15  
 
 Example: Order of Operations 
1:25  
 
Procedure To Evaluate 
3:22  
 
Lecture Example 1 
6:45  
 
Lecture Example 2 
10:55  
 
Additional Example 3 
3:32  
 
Additional Example 4 
4:27  

The Distributive Property 
16:27 
 
Intro 
0:00  
 
The Distributive Property 
0:20  
 
 Extension to Several Numbers 
2:05  
 
Lecture Example 1 
2:50  
 
Lecture Example 2 
5:15  
 
Additional Example 3 
3:10  
 
Additional Example 4 
4:48  

The Real Number System 
22:35 
 
Intro 
0:00  
 
The Real Number System 
0:21  
 
 Natural Numbers 
0:22  
 
 Whole Numbers 
0:37  
 
 Integers 
1:06  
 
 Rational Numbers 
1:35  
 
 Example: Decimals 
2:07  
 
The Real Number System, Cont. 
5:00  
 
 Square Roots 
5:10  
 
 Principle Square Root 
6:04  
 
 Irrational Numbers 
6:35  
 
The Real Number System, Cont. 
9:11  
 
 Picture Representation 
9:25  
 
Lecture Example 1 
11:54  
 
Lecture Example 2 
14:10  
 
Additional Example 3 
1:00  
 
Additional Example 4 
4:45  

Functions and Graphs 
27:49 
 
Intro 
0:00  
 
Functions 
0:30  
 
 Definition 
0:30  
 
 Example: Square Roots 
1:18  
 
 Example: Gas Prices 
3:20  
 
Graphs 
4:03  
 
 Definition 
4:03  
 
 Example: Square Roots 
4:48  
 
Domain and Range 
9:30  
 
 Definition 
9:30  
 
 Example: Square Roots 
10:01  
 
Lecture Example 1 
11:22  
 
Lecture Example 2 
13:58  
 
Additional Example 3 
3:59  
 
Additional Example 4 
5:26  
Section 2: Solving Linear Equations 

From Sentences to Equations 
22:13 
 
Intro 
0:00  
 
Strategy 
1:40  
 
 Using Variables 
1:55  
 
 Translating Phrases 
2:18  
 
 Equality 
3:00  
 
Lecture Example 1 
3:52  
 
Lecture Example 2 
8:36  
 
Additional Example 3 
5:24  
 
Additional Example 4 
4:22  

Addition and Subtraction Techniques 
14:39 
 
Intro 
0:00  
 
Techniques 
0:22  
 
 Adding the Same Number 
0:28  
 
 Example 
0:47  
 
 Subtracting the Same Number 
1:50  
 
 Example 
1:54  
 
Strategy 
2:36  
 
 Isolate the Variable 
2:46  
 
Lecture Example 1 
3:48  
 
Lecture Example 2 
5:41  
 
Additional Example 3 
2:30  
 
Additional Example 4 
4:58  

Multiplication and Division Techniques 
19:19 
 
Intro 
0:00  
 
Techniques 
0:16  
 
 Multiplied by the Same Number 
0:18  
 
 Example 
0:26  
 
 Divided by the Same Number 
1:23  
 
 Nonzero Exception 
1:28  
 
 Dividing by Zero 
2:17  
 
 Example 
3:01  
 
Strategy 
3:51  
 
 Isolate the Variable 
3:55  
 
Lecture Example 1 
4:55  
 
Lecture Example 2 
6:40  
 
Additional Example 3 
3:55  
 
Additional Example 4 
4:54  

Techniques for MultiStep Equations 
19:13 
 
Intro 
0:00  
 
What are Multistep Equations? 
0:08  
 
Strategy 
0:30  
 
 Opposite Operations 
0:50  
 
 Last Operation 
1:18  
 
Lecture Example 1 
1:54  
 
Lecture Example 2 
4:16  
 
Additional Example 3 
7:19  
 
Additional Example 4 
4:34  

When the Variable is on Both Sides of the Equation 
24:16 
 
Intro 
0:00  
 
Solving More Complicated Equations 
0:17  
 
 Distributive Property and Grouping Symbols 
0:36  
 
 Combining 
0:51  
 
 Moving Variables to One Side 
1:06  
 
Possible Outcomes 
1:50  
 
 Exactly One Solution 
2:02  
 
 No Solution 
2:35  
 
 Example 
2:51  
 
 IdentitiesTrue for All Real Numbers 
4:26  
 
 Example 
4:45  
 
Lecture Example 1 
6:17  
 
Lecture Example 2 
9:39  
 
Additional Example 3 
4:19  
 
Additional Example 4 
5:27  

Ratios and Proportions 
22:39 
 
Intro 
0:00  
 
Definitions 
0:16  
 
 Ratio 
0:21  
 
 Proportion 
0:56  
 
 Example 
1:13  
 
Cross Products 
3:00  
 
 Example: Original Proportion 
3:12  
 
 Example 2 
5:24  
 
Rates 
6:55  
 
 Example: Gas 
7:22  
 
 Example 2: Apples 
7:43  
 
 Example 3: Speed 
8:16  
 
 Example 4: Cookies 
8:46  
 
Lecture Example 1 
9:17  
 
Lecture Example 2 
11:53  
 
Additional Example 3 
4:42  
 
Additional Example 4 
4:25  

Applications of Percents 
20:38 
 
Intro 
0:00  
 
Definitions 
0:22  
 
 Percent of Change 
0:23  
 
 Percent of Increase 
0:42  
 
 Percent of Decrease 
0:55  
 
Examples of Percent of Change 
1:14  
 
 Sales Tax 
1:21  
 
 Discount 
1:57  
 
Lecture Example 1 
2:51  
 
Lecture Example 2 
4:46  
 
Additional Example 3 
3:25  
 
Additional Example 4 
8:45  

More Than One Variable 
22:34 
 
Intro 
0:00  
 
More Than One Variable 
0:21  
 
Strategy 
1:02  
 
Typical Application 
1:33  
 
 Example: Circumference 
1:48  
 
 Example: Perimeter 
2:21  
 
Lecture Example 1 
2:53  
 
Lecture Example 2 
5:43  
 
Additional Example 3 
3:54  
 
Additional Example 4 
8:04  
Section 3: Functions 

Relations 
24:39 
 
Intro 
0:00  
 
Definition 
0:17  
 
 List, Table, Graph 
0:42  
 
 Example: List 
0:56  
 
 Example: Table 
2:00  
 
 Example: Graph 
2:47  
 
Domain and Range 
4:10  
 
Inverse of a Relation 
5:01  
 
 Example 
5:21  
 
Lecture Example 1 
7:26  
 
Lecture Example 2 
10:39  
 
Additional Example 3 
5:42  
 
Additional Example 4 
5:26  

Functions 
19:03 
 
Intro 
0:00  
 
Definition 
0:21  
 
 Function 
0:24  
 
 Example: Relation 
0:50  
 
Vertical Line Test 
1:48  
 
 Example: Pass 
2:02  
 
 Example 2: Fail 
3:32  
 
 Example 3: Fail 
4:18  
 
Function Notation 
5:33  
 
 Proper Notation 
5:43  
 
 Example 
6:29  
 
 Domain and Range 
7:32  
 
Lecture Example 1 
8:06  
 
Lecture Example 2 
9:39  
 
Additional Example 3 
1:37  
 
Additional Example 4 
5:08  

Linear Functions 
20:03 
 
Intro 
0:00  
 
Definition 
0:12  
 
 Linear Equation 
0:15  
 
 Example: A and B not zero 
0:27  
 
 Example: B is zero 
0:58  
 
 Example: A is zero 
1:13  
 
Graph and Intercepts 
1:43  
 
 Straight Line 
1:52  
 
 xintercepts, yintercepts 
2:19  
 
 Example: Intercepts 
2:27  
 
Graphing Linear Equations 
4:19  
 
 Example 
4:40  
 
Linear Functions 
7:23  
 
 Example 
8:00  
 
Lecture Example 1 
10:11  
 
Lecture Example 2 
12:42  
 
Additional Example 3 
1:15  
 
Additional Example 4 
2:34  
Section 4: Linear Functions and their Graphs 

Slope and Rate of Change 
23:58 
 
Intro 
0:00  
 
Rate of Change 
0:27  
 
 Independent Variable 
0:37  
 
 Dependent Variable 
0:51  
 
Slope 
2:02  
 
 Example 
2:19  
 
 Steepness of the Line 
4:56  
 
Possible Slopes 
5:58  
 
 Positive 
6:13  
 
 Negative 
6:34  
 
 Zero 
6:50  
 
 Undefined 
7:11  
 
Lecture Example 1 
8:03  
 
Lecture Example 2 
10:34  
 
Additional Example 3 
3:50  
 
Additional Example 4 
5:46  

Direct Variation 
13:18 
 
Intro 
0:00  
 
Definitions 
0:13  
 
 Direct Variation 
0:14  
 
 Constant of Variation 
0:26  
 
Graph 
1:02  
 
 Example: Positive and Negative k 
1:18  
 
Applications 
1:49  
 
Lecture Example 1 
2:16  
 
Lecture Example 2 
4:39  
 
Additional Example 3 
2:53  
 
Additional Example 4 
4:07  

Slope Intercept Form of an Equation 
17:11 
 
Intro 
0:00  
 
Slope Intercept Form 
0:16  
 
 Example 
0:37  
 
Lecture Example 1 
2:24  
 
Lecture Example 2 
5:43  
 
Additional Example 3 
2:37  
 
Additional Example 4 
5:29  

Point Slope Form of an Equation 
10:32 
 
Intro 
0:00  
 
Point Slope Form 
0:11  
 
 Example 
0:50  
 
Lecture Example 1 
2:03  
 
Lecture Example 2 
3:03  
 
Additional Example 3 
2:24  
 
Additional Example 4 
3:07  

Parallel and Perpendicular Lines 
18:15 
 
Intro 
0:00  
 
Parallel Lines 
0:12  
 
 Example: Nonvertical Lines 
0:32  
 
Perpendicular lines 
1:57  
 
 Example: Slope Product is 1 
2:15  
 
 Negative Reciprocal 
3:08  
 
Lecture Example 1 
3:58  
 
Lecture Example 2 
7:12  
 
Additional Example 3 
2:58  
 
Additional Example 4 
4:54  
Section 5: Systems of Equations 

Graphing Systems of Equations 
20:01 
 
Intro 
0:00  
 
System of Equations 
0:09  
 
 Definition 
0:15  
 
 Solution 
0:59  
 
Solving by Graphing 
1:27  
 
 Example 
2:33  
 
Number of Solutions 
3:37  
 
 Independent 
3:58  
 
 Dependent 
4:03  
 
 Inconsistent 
4:08  
 
 Example: 1 Solution 
4:15  
 
 Example: No Solution 
4:34  
 
 Example: Infinite Solution 
4:51  
 
Lecture Example 1 
5:39  
 
Lecture Example 2 
8:51  
 
Additional Example 3 
3:37  
 
Additional Example 4 
3:56  

Solving by Substitution 
24:12 
 
Intro 
0:00  
 
Substitution 
0:17  
 
 Example 
0:51  
 
Number of Solutions 
1:43  
 
 Infinite Solutions 
2:14  
 
 No Solutions 
2:50  
 
Lecture Example 1 
3:40  
 
Lecture Example 2 
6:56  
 
Additional Example 3 
6:38  
 
Additional Example 4 
5:18  

Solving by Addition and Subtraction 
12:18 
 
Intro 
0:00  
 
Fundamental Principle 
0:18  
 
 Adding or Subtracting 
0:50  
 
Lecture Example 1 
1:23  
 
Lecture Example 2 
4:03  
 
Additional Example 3 
2:31  
 
Additional Example 4 
2:21  

Solving by Multiplication 
19:11 
 
Intro 
0:00  
 
Fundamental Principle 
0:24  
 
 Multiplication 
0:28  
 
Lecture Example 1 
1:40  
 
Lecture Example 2 
6:36  
 
Additional Example 3 
3:50  
 
Additional Example 4 
5:00  

Applications: Systems of Equations 
18:24 
 
Intro 
0:00  
 
Solving Systems of Equations 
0:08  
 
 Graphing 
0:32  
 
 Addition 
0:50  
 
 Subtraction 
1:04  
 
 Multiplication 
1:13  
 
 Substitution 
1:30  
 
Lecture Example 1 
3:20  
 
Lecture Example 2 
4:27  
 
Additional Example 3 
3:54  
 
Additional Example 4 
7:22  
Section 6: Inequalities 

Inequalities: Addition and Subtraction Techniques 
10:08 
 
Intro 
0:00  
 
Fundamental Principle 
0:11  
 
Solutions of Inequalities 
0:55  
 
 Inequality 
1:02  
 
 Set Builder Notation 
1:13  
 
 Example 
1:15  
 
 Graph on a Number Line 
2:13  
 
Lecture Example 1 
3:29  
 
Lecture Example 2 
5:14  
 
Additional Example 3 
1:39  
 
Additional Example 4 
1:50  

Inequalities: Multiplication and Division Techniques 
10:59 
 
Intro 
0:00  
 
Fundamental Principle 
0:11  
 
 Example: Positive Number 
0:51  
 
Fundamental Principle 
1:35  
 
 Example: Negative Number 
1:50  
 
Lecture Example 1 
4:05  
 
Lecture Example 2 
5:12  
 
Additional Example 3 
1:39  
 
Additional Example 4 
2:49  

Techniques for MultiStep Inequalities 
16:21 
 
Intro 
0:00  
 
Similarity to Multistep Equations 
0:15  
 
Inequalities Containing Grouping Symbols 
1:03  
 
Special Cases 
1:26  
 
 Solution: All Real Numbers 
1:40  
 
 Solution: Empty Set 
2:16  
 
Lecture Example 1 
2:54  
 
Lecture Example 2 
4:37  
 
Additional Example 3 
4:03  
 
Additional Example 4 
6:02  

Compound Inequalities 
23:00 
 
Intro 
0:00  
 
Inequalities Combined by 'And' 
0:12  
 
 Three Ways to Write Solution Set 
1:41  
 
 Set Notation 
2:01  
 
 Inequalities 
2:12  
 
 Graph 
2:29  
 
 Examples 
2:31  
 
Inequalities Combined by 'Or' 
4:45  
 
 Example 
5:59  
 
Lecture Example 1 
7:40  
 
Lecture Example 2 
10:55  
 
Additional Example 3 
4:04  
 
Additional Example 4 
4:32  

Equations with Absolute Values 
23:13 
 
Intro 
0:00  
 
Absolute Value 
0:15  
 
 Example: Distance 
1:00  
 
Absolute Value Function 
2:34  
 
 Example 
3:05  
 
Lecture Example 1 
4:57  
 
Lecture Example 2 
8:28  
 
Additional Example 3 
4:55  
 
Additional Example 4 
6:34  

Inequalities with Absolute Values 
17:34 
 
Intro 
0:00  
 
Inequalities of the Form x< n 
0:22  
 
Inequalities of the Form x> n 
3:30  
 
Lecture Example 1 
5:33  
 
Lecture Example 2 
8:50  
 
Additional Example 3 
2:50  
 
Additional Example 4 
3:22  

Graphing Inequalities with Two Variables 
30:50 
 
Intro 
0:00  
 
Graph 
0:22  
 
 HalfPlane 
0:28  
 
 Boundary 
1:37  
 
Technique for Graphing 
3:14  
 
 Example 
4:01  
 
 Dashed Line 
5:13  
 
 Solid Line 
6:30  
 
Technique for Graphing, cont. 
8:58  
 
 Example 
9:09  
 
Lecture Example 1 
12:19  
 
Lecture Example 2 
15:48  
 
Additional Example 3 
4:04  
 
Additional Example 4 
6:18  

Graphing Systems of Inequalities 
27:38 
 
Intro 
0:00  
 
System of Inequalities 
0:26  
 
 Example 
0:43  
 
Solving a System of Inequalities 
1:17  
 
 Example 
1:41  
 
Lecture Example 1 
2:58  
 
Lecture Example 2 
7:22  
 
Additional Example 3 
6:31  
 
Additional Example 4 
8:15  
Section 7: Polynomials 

Multiplying Monomials 
19:55 
 
Intro 
0:00  
 
What is a Monomial? 
0:43  
 
 Constant 
1:11  
 
 Power 
1:48  
 
 Exponent and Base 
2:39  
 
Properties of Exponents 
3:02  
 
Simplified Form 
5:52  
 
 Each Base Appears Exactly Once 
6:02  
 
 No Powers of Powers 
6:18  
 
 All Fractions Simplified 
6:33  
 
Lecture Example 1 
6:43  
 
Lecture Example 2 
8:12  
 
Additional Example 3 
3:25  
 
Additional Example 4 
6:15  

Dividing Monomials 
23:09 
 
Intro 
0:00  
 
Properties of Exponents 
0:26  
 
 Example 
1:07  
 
Properties of Exponents, cont 
2:18  
 
 Example 
3:18  
 
Properties of Exponents, cont 
4:55  
 
 Example 
5:32  
 
Properties of Exponents, cont 
8:49  
 
Lecture Example 1 
11:43  
 
Lecture Example 2 
13:13  
 
Additional Example 3 
3:11  
 
Additional Example 4 
4:22  

Polynomials 
16:35 
 
Intro 
0:00  
 
What is a Polynomial 
0:45  
 
 Monomial 
0:47  
 
 Example: Trinomial 
1:46  
 
 Trinomial 
2:10  
 
 Example: Binomial 
2:21  
 
 Binomial 
2:30  
 
Degree of a Polynomial 
4:28  
 
 Example 
4:40  
 
Ordering Polynomials 
6:45  
 
 Example 
7:27  
 
Lecture Example 1 
9:27  
 
Lecture Example 2 
10:31  
 
Additional Example 3 
1:41  
 
Additional Example 4 
2:32  

Adding and Subtracting Polynomials 
22:00 
 
Intro 
0:00  
 
Adding Polynomials 
0:36  
 
 Like Polynomials 
0:48  
 
 Example 
1:04  
 
Subtracting Polynomials 
3:55  
 
 Example 
4:01  
 
Lecture Example 1 
5:30  
 
Lecture Example 2 
8:04  
 
Additional Example 3 
4:17  
 
Additional Example 4 
7:14  

Multiplying Polynomials by Monomials 
24:08 
 
Intro 
0:00  
 
Distributive Property 
0:22  
 
 Basic Principle 
0:42  
 
 Example 
1:04  
 
Solving Equations 
3:25  
 
Lecture Example 1 
4:26  
 
Lecture Example 2 
7:51  
 
Additional Example 3 
6:31  
 
Additional Example 4 
3:52  

Multiplying Polynomials 
26:37 
 
Intro 
0:00  
 
Distributive Property 
0:23  
 
 Example 
0:34  
 
 Example 
1:55  
 
Foil Method 
5:17  
 
Lecture Example 1 
7:44  
 
Lecture Example 2 
10:15  
 
Additional Example 3 
5:38  
 
Additional Example 4 
6:56  

Special Products 
19:40 
 
Intro 
0:00  
 
Square of a Sum 
0:12  
 
 Perfect Square Trinomial 
1:43  
 
 Example 
2:13  
 
 FOIL Technique 
3:09  
 
Square of a Difference 
3:38  
 
 Example 
5:27  
 
Difference of Two Squares 
6:12  
 
 Example 
7:43  
 
Lecture Example 1 
8:51  
 
Lecture Example 2 
11:06  
 
Additional Example 3 
1:55  
 
Additional Example 4 
4:24  
Section 8: Factoring 

Factoring Monomials 
27:25 
 
Intro 
0:00  
 
Prime and Composite Numbers 
1:01  
 
 Prime Number 
1:23  
 
 Composite Number 
3:03  
 
Factored Forms 
4:07  
 
 Prime Factored Form 
4:19  
 
 Factored Form 
5:40  
 
Greatest Common Factor (GCF) 
7:41  
 
 Example 
8:00  
 
 GCF of Monomials 
10:07  
 
 Example 
10:18  
 
Lecture Example 1 
12:52  
 
Lecture Example 2 
17:08  
 
Additional Example 3 
4:01  
 
Additional Example 4 
4:29  

Factoring Using Greatest Common Factor (GCF) 
26:03 
 
Intro 
0:00  
 
Distributive Property 
0:19  
 
 Factor Out an Expression 
1:21  
 
 Example 
2:52  
 
Factoring by Grouping 
4:40  
 
 Example 
6:00  
 
Zero Product Property 
8:24  
 
 Example 
9:03  
 
Lecture Example 1 
11:19  
 
Lecture Example 2 
14:19  
 
Additional Example 3 
4:16  
 
Additional Example 4 
2:27  

Factoring Trinomials with Leading Coefficient 1 
27:37 
 
Intro 
0:00  
 
Factoring Trinomials 
0:23  
 
 Example 
2:06  
 
Rules for Signs 
6:27  
 
 Both Positive 
6:41  
 
 Both Negative 
7:00  
 
 Opposite Signs 
7:33  
 
Solving Equations 
8:26  
 
 Example 
8:59  
 
Lecture Example 1 
11:14  
 
Lecture Example 2 
14:01  
 
Additional Example 3 
3:56  
 
Additional Example 4 
6:39  

Factoring General Trinomials 
34:11 
 
Intro 
0:00  
 
Factoring Trinomials 
0:40  
 
 Example: List 
1:38  
 
Grouping 
5:46  
 
 Example 
5:55  
 
Rules for Signs 
9:04  
 
 Example 
9:22  
 
Greatest Common Factor (GCF) 
10:29  
 
Prime Polynomials 
11:03  
 
 Example 
11:32  
 
Solving Equations 
12:32  
 
Lecture Example 1 
13:11  
 
Lecture Example 2 
18:37  
 
Additional Example 3 
3:18  
 
Additional Example 4 
6:25  

Factoring the Difference of Two Squares 
20:22 
 
Intro 
0:00  
 
Difference of Two Squares 
0:40  
 
 Example 
1:56  
 
Factoring Using Several Techniques 
3:33  
 
Solving Equations 
4:11  
 
Lecture Example 1 
4:55  
 
Lecture Example 2 
6:05  
 
Additional Example 3 
5:21  
 
Additional Example 4 
5:43  

Factoring Perfect Squares 
18:07 
 
Intro 
0:00  
 
Perfect Squares 
0:10  
 
 Perfect Square Trinomials 
1:17  
 
Solving Equations 
2:53  
 
 Square Root Property 
2:58  
 
 Example 
3:06  
 
Lecture Example 1 
4:23  
 
Lecture Example 2 
6:56  
 
Additional Example 3 
3:01  
 
Additional Example 4 
4:06  
Section 9: Quadratic Functions 

Graphing Quadratic Functions 
28:05 
 
Intro 
0:00  
 
Parabolas 
0:09  
 
Parabolas That Open Upward 
3:58  
 
 Minimum 
4:26  
 
Parabolas That Open Downward 
4:54  
 
 Maximum 
5:09  
 
Vertex 
7:28  
 
 Example 
8:01  
 
Axis of Symmetry 
11:03  
 
Lecture Example 1 
13:27  
 
Lecture Example 2 
17:17  
 
Additional Example 3 
2:07  
 
Additional Example 4 
4:50  

Solving Equations by Graphing 
28:18 
 
Intro 
0:00  
 
Solving a Quadratic Equation 
0:22  
 
 Example 
0:50  
 
Two Distinct Solutions/Roots 
5:08  
 
One Double Root 
5:58  
 
No Real Roots 
7:14  
 
Estimating Solutions 
8:00  
 
 Example 
8:16  
 
 Example 
8:31  
 
Lecture Example 1 
9:43  
 
Lecture Example 2 
14:10  
 
Additional Example 3 
4:30  
 
Additional Example 4 
5:19  

Solving Equations by Completing the Square 
25:07 
 
Intro 
0:00  
 
Perfect Square Trinomials 
0:22  
 
 Example 
1:12  
 
Completing the Square 
3:17  
 
 Example 
3:25  
 
Solving Equations 
6:12  
 
 Example 
6:27  
 
Leading Coefficient is 1 
8:25  
 
Lecture Example 1 
10:23  
 
Lecture Example 2 
14:17  
 
Additional Example 3 
3:41  
 
Additional Example 4 
4:21  

Solving Equations Using the Quadratic Formula 
24:15 
 
Intro 
0:00  
 
Quadratic Formula 
1:26  
 
 Example 
2:23  
 
Discriminant 
4:28  
 
 Two Distinct Real Roots 
5:07  
 
 One Double Real Root 
5:23  
 
 No Real Root 
5:42  
 
 Why Does It Work? 
6:05  
 
Lecture Example 1 
7:53  
 
Lecture Example 2 
11:50  
 
Additional Example 3 
5:02  
 
Additional Example 4 
2:31  
Section 10: Radical Expressions and Equations 

Simplifying Radical Expressions 
32:40 
 
Intro 
0:00  
 
Radical Expressions 
0:14  
 
 Radicand 
0:28  
 
 Example 
0:32  
 
 Simplest Form 
1:07  
 
 Example 
1:35  
 
Product Property 
2:34  
 
 Verifications 
2:47  
 
Square Roots of Variables with Even Powers 
4:27  
 
Quotient Rule 
6:45  
 
 Example 
6:55  
 
Rationalizing Denominators 
7:32  
 
 Example 
7:41  
 
Conjugates 
10:44  
 
 Examples 
10:59  
 
Simplest Radical Form 
14:44  
 
 Example 
15:39  
 
Lecture Example 1 
17:34  
 
Lecture Example 2 
19:38  
 
Additional Example 3 
1:55  
 
Additional Example 4 
5:51  

Operations with Radical Expressions 
19:59 
 
Intro 
0:00  
 
Adding and Subtracting Radical Expressions 
0:12  
 
 Example 
0:19  
 
Multiplying Radical Expressions 
1:53  
 
 Example 
2:07  
 
Lecture Example 1 
5:29  
 
Lecture Example 2 
6:36  
 
Additional Example 3 
3:24  
 
Additional Example 4 
6:32  

Solving Radical Equations 
26:50 
 
Intro 
0:00  
 
Radical Equations 
0:22  
 
 Example 
0:33  
 
Solving a Radical Equation 
2:04  
 
 Example 
2:16  
 
Extraneous Solutions 
3:14  
 
 Example 
4:31  
 
Lecture Example 1 
7:33  
 
Lecture Example 2 
9:45  
 
Additional Example 3 
5:04  
 
Additional Example 4 
8:09  

Pythagorean Theorem 
19:08 
 
Intro 
0:00  
 
Right Triangles 
0:51  
 
 Right Angle 
1:03  
 
 Vertex 
1:11  
 
 Symbol 
1:16  
 
 Hypotenuse and Legs 
1:42  
 
Pythagorean Theorem 
2:27  
 
 Example 
2:47  
 
 Example 
3:12  
 
Pythagorean Triples 
4:03  
 
Converse of the Pythagorean Theorem 
6:39  
 
 Example 
7:41  
 
Lecture Example 1 
8:57  
 
Lecture Example 2 
10:05  
 
Additional Example 3 
2:38  
 
Additional Example 4 
3:26  

Distance Formula 
18:27 
 
Intro 
0:00  
 
Distance Formula 
0:17  
 
Missing Coordinates 
1:46  
 
 Example 
1:55  
 
Lecture Example 1 
4:10  
 
Lecture Example 2 
5:57  
 
Additional Example 3 
3:20  
 
Additional Example 4 
5:10  
Section 11: Rational Expressions and Equations 

Inverse Variation 
14:43 
 
Intro 
0:00  
 
Inverse Variation 
0:23  
 
 Constant of Variation 
0:37  
 
Graphing Inverse Variation 
1:08  
 
 Example: Hyperbola 
1:15  
 
Product Rule 
3:54  
 
Lecture Example 1 
5:31  
 
Lecture Example 2 
7:43  
 
Additional Example 3 
2:02  
 
Additional Example 4 
2:48  

Rational Expressions 
32:43 
 
Intro 
0:00  
 
Rational Expression 
0:55  
 
 Example 
1:03  
 
Excluded Values 
1:29  
 
 Examples 
1:40  
 
Simplifying Rational Expressions 
5:36  
 
 Greatest Common Factor (GCF) 
5:46  
 
 Example 
5:55  
 
 Example 
7:42  
 
Simplifying and Excluded Values 
9:34  
 
Lecture Example 1 
9:50  
 
Lecture Example 2 
13:55  
 
Additional Example 3 
6:07  
 
Additional Example 4 
9:49  

Multiplying Rational Expressions 
27:22 
 
Intro 
0:00  
 
Procedure 
0:16  
 
 Example 
0:33  
 
Cancel Before Multiplication 
3:44  
 
 Example 
3:55  
 
Rational Expressions Containing Polynomials 
6:19  
 
 Example 
6:26  
 
Lecture Example 1 
11:09  
 
Lecture Example 2 
15:39  
 
Additional Example 3 
4:09  
 
Additional Example 4 
5:23  

Dividing Rational Expressions 
28:30 
 
Intro 
0:00  
 
Procedure 
0:21  
 
 Example 
0:59  
 
Cancel Before Multiplication 
4:31  
 
 Example 
4:39  
 
Rational Expressions Containing Polynomials 
8:01  
 
 Example 
8:08  
 
Lecture Example 1 
10:43  
 
Lecture Example 2 
13:46  
 
Additional Example 3 
4:38  
 
Additional Example 4 
7:17  

Dividing Polynomials 
29:44 
 
Intro 
0:00  
 
Dividing a Polynomial by a Monomial 
1:07  
 
 Example 
1:14  
 
Dividing a Polynomial by a Binomial 
3:30  
 
 Example 
3:51  
 
Long Division 
5:20  
 
 Example 
6:25  
 
Missing Terms 
11:11  
 
 Example 
12:25  
 
Lecture Example 1 
14:54  
 
Lecture Example 2 
16:35  
 
Additional Example 3 
3:49  
 
Additional Example 4 
6:47  

Adding and Subtracting Rational Expressions with Like Denominators 
16:50 
 
Intro 
0:00  
 
Adding with Like Denominators 
0:14  
 
 Example 
0:41  
 
Subtraction with Like Denominators 
2:23  
 
 Example 
2:30  
 
Denominators That Are Additive Inverses 
2:55  
 
 Example 
3:03  
 
Lecture Example 1 
6:41  
 
Lecture Example 2 
7:09  
 
Additional Example 3 
1:13  
 
Additional Example 4 
6:30  

Adding and Subtracting Rational Expressions with Unlike Denominators 
36:00 
 
Intro 
0:00  
 
Least Common Multiple (LCM) of Polynomials 
0:34  
 
 Example 
0:45  
 
 Example 
1:55  
 
Adding and Subtracting 
4:08  
 
 Example 
4:45  
 
Lecture Example 1 
8:13  
 
Lecture Example 2 
10:22  
 
Additional Example 3 
8:42  
 
Additional Example 4 
11:40  

Complex Fractions 
18:43 
 
Intro 
0:00  
 
Mixed Expression 
0:08  
 
 Example 
0:30  
 
Complex Fraction 
2:45  
 
 Example 
2:57  
 
 Example 
3:11  
 
 Example 
3:22  
 
Simplifying Complex Fractions 
3:58  
 
 Why Does It Work? 
4:22  
 
Lecture Example 1 
4:48  
 
Lecture Example 2 
8:44  
 
Additional Example 3 
3:33  
 
Additional Example 4 
4:37  

Rational Equations 
39:10 
 
Intro 
0:00  
 
Definition 
0:08  
 
 Examples 
0:17  
 
Solving Rational Expressions 
3:02  
 
 Example 
3:09  
 
Work Problems 
6:31  
 
 Example 
6:48  
 
Extraneous Solutions 
13:12  
 
 Example 
14:13  
 
Lecture Example 1 
17:21  
 
Lecture Example 2 
19:59  
 
Additional Example 3 
4:13  
 
Additional Example 4 
7:18  