Section 1: 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  
Section 2: 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  
Section 3: 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  
 
 XIntercept 
2:56  
 
 YIntercept 
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  
Section 4: 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  
Section 5: 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  
Section 6: 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  
Section 7: 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  
Section 8: 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  
Section 9: 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 XIntercept 
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  
Section 10: 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  
Section 11: 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  