Dr. Carleen Eaton
Applications of Percents
Slide Duration:Table of Contents
11m 22s
 Intro0:00
 History of Algebra0:12
 Origin of Word0:21
 Real World Problems0:35
 Definitions0:58
 Variable1:03
 Algebraic Expression1:37
 Operations2:02
 Example 1: Words into Expressions3:02
 Example 2: Words into Expressions5:20
 Example 3: Words into Expressions6:45
 Example 4: Words into Expressions9:46
15m 59s
 Intro0:00
 Example0:17
 Definition0:57
 Procedure to Evaluate an Arithmetic Expression1:08
 Grouping Symbols (Parentheses, Brackets, Braces)1:19
 Powers1:42
 Multiply/Divide Left to Right1:57
 Add/Subtract Left to Right2:21
 Example: Fraction Bar2:49
 Example 1: Evaluate Arithmetic Expression3:45
 Example 2: Evaluate Arithmetic Expression7:28
 Example 3: Evaluate Arithmetic Expression10:11
 Example 4: Evaluate with Variables13:12
9m 50s
 Intro0:00
 Distributive Property Statements0:23
 Moving Forward0:49
 Rule for Subtraction1:14
 Reverse Order1:40
 Several Numbers2:17
 Example 1: Evaluate Using Distributive Property2:56
 Example 2: Multiply Using Distributive Property4:10
 Example 3: Simplify Using Distributive Property4:59
 Example 4: Simplify Using Distributive Property7:03
17m 58s
 Intro0:00
 Real Number System0:31
 Natural Numbers0:39
 Whole Numbers1:11
 Integers1:23
 Rational Numbers1:52
 Cannot Divide by Zero2:18
 Decimals2:27
 Example: Terminating or Repeating2:39
 Real Number System, Cont.3:37
 Square Roots3:42
 Examples3:54
 Irrational Numbers4:36
 Examples5:02
 Perfect Square5:54
 Real Number System, Cont.6:49
 Example: Number Line7:02
 Example 1: Which Set of Numbers7:54
 Example 2: Graph on Number Line10:04
 Example 3: Approximate Irrational Number12:47
 Example 4: Order Largest to Smallest13:57
34m 39s
 Intro0:00
 Functions0:15
 Example: Function0:29
 Example: Not Functions (Relations)1:15
 Graphs4:44
 Visual Display4:53
 Example: X and Y5:03
 Coordinate Pairs5:53
 Discrete Function8:19
 Continuous Function8:55
 Vertical Line Test10:55
 Test if Function11:12
 Example: Pass Through Points11:43
 Domain and Range14:13
 Example14:43
 Example 1: Function Given by Table16:24
 Example 2: Cost of Gas18:46
 Example 3: Cost of Gas23:15
 Example 4: Cost of Mail29:07
16m 5s
 Intro0:00
 Real World Applications0:18
 Strategy0:26
 Using Variables0:32
 Translate Phrases0:48
 Identity Equality Words1:07
 Example 1: Write Equation1:32
 Example 2: Write Equation4:14
 Example 3: Sisters' Ages8:26
 Example 4: Surface Area of Cylinder12:52
15m 24s
 Intro0:00
 Techniques0:21
 Addition Principle0:24
 Example0:37
 Subtraction Principle1:44
 Example1:48
 Strategy2:33
 Isolate the Variable2:41
 Example2:55
 Example 1: Solve Equation3:39
 Example 2: Solve Equation5:38
 Example 3: Word Problem7:38
 Example 4: Word Problem11:14
15m 41s
 Intro0:00
 Isolating the Variable0:08
 Techniques0:34
 Multiplication Principle0:41
 Example0:57
 Division Principle2:32
 Example2:47
 Strategy3:12
 Example3:30
 Opposite Operation3:53
 Example 1: Solve Equation5:07
 Example 2: Solve Equation6:50
 Example 3: Solve Equation10:05
 Example 4: Word Problem12:07
14m 31s
 Intro0:00
 What are Multistep Equations0:06
 Addition/Subtraction and Multiplication/Division0:31
 Strategy0:43
 Identify Last Operation0:47
 Example 1: Solve Equation1:51
 Example 2: Solve Equation5:27
 Example 3: Find Numbers7:39
 Example 4: Solve Equation11:27
20m 17s
 Intro0:00
 Solving More Complicated Equations0:28
 Distributive Property0:41
 Review of Distributive Property0:55
 Factoring1:28
 Subtracting1:50
 Applying with Addition/Subtraction2:08
 Possible Outcomes2:45
 Exactly One Solution2:52
 No Solution3:08
 True for All Real Numbers4:45
 Identities5:01
 Example 1: Solve Equation6:03
 Example 2: Solve Equation9:08
 Example 3: Solve Equation14:06
 Example 4: Solve Equation17:28
16m 5s
 Intro0:00
 Definitions0:07
 Ratio0:10
 Different Representations0:14
 Proportion0:33
 Example0:40
 Cross Product1:08
 Cross Multiplication1:32
 Example2:13
 Rates3:33
 Rates in Real Life3:46
 Example 1: Form a Proportion4:43
 Example 2: Cross Multiply7:15
 Example 3: How Long to Drive9:00
 Example 4: Cross Products12:13
13m 46s
 Intro0:00
 Definitions0:15
 Percent of Increase0:27
 Percent of Decrease0:34
 Examples0:42
 Sales Tax1:48
 Discount2:44
 Example 1: Temperature Change3:12
 Example 2: Sales Tax5:44
 Example 3: Clothing Discount7:04
 Example 4: Sales and Discount9:15
20m 38s
 Intro0:00
 More Than One Variable0:21
 Real Life Examples0:30
 Strategy1:08
 Possible Techniques1:17
 Typical Application1:43
 Solving for a Different Variable1:59
 Example 1: Solve for Y5:06
 Example 2: Solve for Q7:38
 Example 3: Solve for H12:56
 Example 4: Solve for X16:04
16m 58s
 Intro0:00
 Definition0:04
 Relation0:06
 Table0:18
 Set of Ordered Pairs1:01
 Graph1:38
 Domain and Range2:40
 Example: Relation2:51
 Example: Broader Cases3:48
 Inverse of a Relation4:42
 Example4:59
 Example 1: Relation as Table/Graph6:15
 Example 2: Domain and Range8:41
 Example 3: Table, Graph, Domain, Range10:36
 Example 4: Inverse of a Relation13:36
19m 27s
 Intro0:00
 Definition0:14
 Review of Relations0:27
 Violation of Function1:43
 Example: Function2:00
 Vertical Line Test3:18
 Example3:41
 Function Notation6:15
 Using f(x)6:26
 Example: Value Assigned7:12
 Example 1: Relation a Function8:10
 Example 2: Relation a Function9:39
 Example 3: Using f(x) Notation12:20
 Example 4: g(x) Notation15:01
20m 15s
 Intro0:00
 Definition0:07
 Standard Form0:18
 Example0:52
 Graph and Intercepts2:39
 Example: Graph2:48
 XIntercept2:56
 YIntercept3:35
 Graphing Linear Equations4:29
 Example4:47
 Linear Functions7:51
 Example8:15
 Example 1: Linear10:16
 Example 2: Linear Equation12:58
 Example 3: Intercepts14:23
 Example 4: Equation from Intercepts16:47
19m 46s
 Intro0:00
 Rate of Change0:06
 Other Words0:14
 Example0:24
 Slope2:12
 Two Points2:39
 Steepness of a Line2:57
 Possible Slopes4:29
 Positive Slope5:02
 Negative Slope5:29
 Zero Slope (Horizontal Line)6:23
 Undefined Slope (Vertical Line)7:08
 Example 1: Rate of Change of Table8:19
 Example 2: Slope Through Points10:52
 Example 3: Increasing/Decreasing13:06
 Example 4: Slope Through Points16:02
13m 54s
 Intro0:00
 Definitions0:10
 Constant of Variation k0:21
 Example: Gas and Miles Driven0:59
 Graph1:50
 k is Slope2:04
 Examples2:27
 Applications2:47
 Write, Graph, Solve2:58
 Example 1: Constant of Variation3:11
 Example 2: Graph Direct Variation4:59
 Example 3: Direct Variation6:50
 Example 4: Distance Car Travels9:18
12m 6s
 Intro0:00
 Slope Intercept Form0:12
 m (Slope) and b (Y Intercept)0:31
 Example1:12
 Example 1: Slope Intercept Form Equation2:39
 Example 2: Graph the Equation5:11
 Example 3: Slope Intercept Form Equation6:51
 Example 4: Slope Intercept Form Equation8:50
9m 7s
 Intro0:00
 Point Slope Form0:07
 Manipulating to Other Forms0:35
 m (Slope), x1 y1 (Point)0:47
 Example 1: Point Slope Form Equation1:03
 Example 2: Point Slope Form Equation2:50
 Example 3: Point Slope Form Equation4:18
 Example 4: Point Slope Form Equation6:50
18m 2s
 Intro0:00
 Parallel Lines0:08
 Example0:15
 Vertical Lines0:40
 Perpendicular Lines1:19
 Negative Reciprocal1:31
 Example2:05
 Example 1: Slope Intercept Form3:25
 Example 2: Parallel or Perpendicular6:15
 Example 3: Slope Intercept Form9:27
 Example 4: Slope Intercept Form12:35
22m 45s
 Intro0:00
 Systems of Equations0:10
 Definition0:15
 Example0:31
 Solution0:47
 Solving by Graphing1:23
 Points of Intersection1:36
 Example1:56
 Number of Solutions3:09
 Independent3:20
 Dependent3:50
 Inconsistent4:46
 Example 1: Solve by Graphing5:45
 Example 2: Solve by Graphing9:50
 Example 3: Solve by Graphing14:17
 Example 4: Solve by Graphing18:03
22m 41s
 Intro0:00
 Substitution0:09
 Example0:45
 Number of Solutions2:47
 Infinite Solutions3:11
 No Solutions4:28
 Example 1: Solve by Substitution5:44
 Example 2: Solve by Substitution10:01
 Example 3: Solve by Substitution15:17
 Example 4: Solve by Substitution19:41
16m 13s
 Intro0:00
 Fundamental Principle0:10
 Example0:23
 Example 1: Solve the System1:52
 Example 2: Solve the System5:53
 Example 3: Solve the System10:15
 Example 4: Solve the System14:08
11m 34s
 Intro0:00
 Fundamental Principle0:09
 Example0:36
 Solutions of Inequalities1:51
 Inequality1:59
 Set Builder Notation2:02
 Graph on a Number Line2:08
 Examples2:18
 Example 1: Solve the Inequality4:59
 Example 2: Solve the Inequality7:00
 Example 3: Solve the Inequality8:10
 Example 4: Solve the Inequality9:47
10m 49s
 Intro0:00
 Fundamental Principle0:10
 Only Positive Numbers0:23
 Example0:51
 Fundamental Principle, Cont.2:01
 Negative Numbers2:12
 Reverse Inequality Sign2:28
 Example2:48
 Example 1: Solve the Inequality4:26
 Example 2: Solve the Inequality5:45
 Example 3: Solve the Inequality6:50
 Example 4: Solve the Inequality8:28
16m 56s
 Intro0:00
 Similarity to Multistep Equations0:16
 Negative Numbers0:32
 Example0:49
 Inequalities Containing Grouping Symbols1:24
 Example1:35
 Special Cases2:45
 Example: All Real Numbers3:04
 Example: Empty Set4:10
 Example 1: Solve the Inequality6:05
 Example 2: Solve the Inequality7:39
 Example 3: Solve the Inequality9:57
 Example 4: Solve the Inequality13:56
21m 32s
 Intro0:00
 What is a Compound Inequality0:07
 Joined by 'And' or 'Or'0:16
 Inequalities Combined by 'And'0:36
 Intersection/Overlap0:53
 Example1:08
 Inequalities Combined by 'Or'4:23
 Union4:41
 Example5:27
 Example 1: Solve the Inequality6:39
 Example 2: Solve the Inequality11:30
 Example 3: Solve the Inequality13:43
 Example 4: Solve the Inequality18:19
24m 16s
 Intro0:00
 Absolute Value0:06
 Number Line0:22
 Example0:41
 Absolute Value is N1:52
 Absolute Value Function3:17
 Example3:40
 g(x) and f(x)4:31
 Solving Absolute Value Equations6:23
 Absolute Value in Words6:39
 Split Into Two Parts7:58
 Solve Both Equations8:22
 Example 1: Solve the Absolute Value10:34
 Example 2: Solve the Absolute Value13:09
 Example 3: Solve the Absolute Value14:52
 Example 4: Solve the Absolute Value20:23
17m 37s
 Intro0:00
 Inequalities of the Form x< n0:07
 Values that Satisfy Both Inequalities0:46
 Example1:27
 Inequalities of the Form x> n3:58
 Values that Satisfy Either Inequalities4:19
 Example4:47
 Example 1: Solve the Inequality6:38
 Example 2: Solve the Inequality9:54
 Example 3: Solve the Inequality12:05
 Example 4: Solve the Inequality14:50
24m 33s
 Intro0:00
 Graph0:08
 Half Plane and Boundary0:51
 Technique for Graphing1:57
 Graph Equation2:01
 Solid Line or Dashed Line2:07
 Example2:32
 Choosing a Test Point5:10
 Example5:26
 Example 1: Solve the Inequality7:49
 Example 2: Solve the Inequality11:37
 Example 3: Solve the Inequality15:44
 Example 4: Solve the Inequality19:10
24m 4s
 Intro0:00
 System of Inequalities0:05
 Example0:22
 Solving a System of Inequalities0:38
 Solution Set0:46
 Graph Each Inequality0:57
 Area of Overlap1:45
 Example 1: Solve the System of Inequalities2:44
 Example 2: Solve the System of Inequalities6:33
 Example 3: Solve the System of Inequalities11:40
 Example 4: Solve the System of Inequalities17:36
22m 19s
 Intro0:00
 What is a Monomial0:09
 Examples0:17
 Power0:55
 Base and Exponent1:52
 Properties of Exponents2:16
 Add Exponents2:25
 Multiply Exponents4:00
 Product Exponent4:39
 Simplified Form7:26
 Examples7:47
 Example 1: Simplify the Monomial8:26
 Example 2: Simplify the Monomial10:32
 Example 3: Simplify the Monomial12:48
 Example 4: Simplify the Monomial17:33
24m 2s
 Intro0:00
 Properties of Exponents0:05
 Dividing with Same Base0:15
 Example0:53
 Quotient Raised to Power2:22
 Example2:53
 Raising to 0 Power4:00
 Example4:21
 Negative Exponents5:45
 Example6:05
 Example 1: Simplify the Monomial7:33
 Example 2: Simplify the Monomial14:56
 Example 3: Simplify the Monomial13:30
 Example 4: Simplify the Monomial17:35
8m 56s
 Intro0:00
 What is a Polynomial0:07
 Monomial0:40
 Binomial1:15
 Trinomial1:25
 Degree of a Polynomial1:56
 Example: Degree of Monomial2:13
 Example: Degree of Polynomial2:47
 Ordering Polynomials3:32
 Example3:47
 Example 1: Trinomial or Binomial4:44
 Example 2: Find the Degree5:27
 Example 3: Increasing Powers6:11
 Example 4: Decreasing Powers7:27
15m 51s
 Intro0:00
 Adding Polynomials0:07
 Like Terms0:18
 Example1:02
 Subtracting Polynomials2:44
 Example2:58
 Example 1: Add Polynomials5:11
 Example 2: Subtract Polynomials7:30
 Example 3: Add and Subtract9:35
 Example 4: Add and Subtract12:09
18m 17s
 Intro0:00
 Distributive Property0:07
 Example0:54
 Solving Equations1:36
 Isolate Variable and Solve1:46
 Example 1: Multiply1:59
 Example 2: Simplify3:33
 Example 3: Simplify7:20
 Example 4: Solve13:37
18m 2s
 Intro0:00
 Distributive Property0:08
 Example0:54
 FOIL Method2:44
 First, Outer, Inner, Last3:20
 Example 1: Multiply5:32
 Example 2: Multiply7:27
 Example 3: Multiply9:41
 Example 4: Multiply13:56
17m
 Intro0:00
 Square of a Sum0:06
 Example1:09
 Square of a Difference2:46
 Example3:22
 Difference of Two Squares4:50
 Example5:31
 Example 1: Multiply6:24
 Example 2: Multiply8:34
 Example 3: Multiply11:03
 Example 4: Multiply12:54
17m 51s
 Intro0:00
 Prime and Composite Numbers0:09
 Prime Number0:12
 Composite Number0:42
 Factored Forms1:39
 Prime Factored Form1:40
 Factored Form2:21
 Greatest Common Factor3:55
 Example: GCF for Number4:19
 Example: GCF for Monomial6:00
 Example 1: Prime Factored Form7:51
 Example 2: Factored Form9:34
 Example 3: GCF11:12
 Example 4: GCF13:28
25m 21s
 Intro0:00
 Distributive Property0:05
 Example: Binomial0:49
 Example: Trinomial2:18
 Factoring by Grouping4:17
 Example: Four Terms4:40
 Zero Product Property8:21
 Example9:01
 Example 1: Factor the Polynomial10:38
 Example 2: Factor the Polynomial13:43
 Example 3: Factor the Polynomial19:59
 Example 4: Solve the Polynomial22:58
27m 11s
 Intro0:00
 Factoring Trinomials0:07
 Leading Coefficient0:11
 Example1:20
 Rules for Signs2:42
 P and Q Both Positive2:55
 P and Q Both Negative3:39
 P and Q Opposite Signs4:30
 Solving Equations5:18
 Example6:44
 Example 1: Factor the Polynomial7:41
 Example 2: Factor the Polynomial12:33
 Example 3: Factor the Polynomial16:39
 Example 4: Solve the Polynomial21:35
46m 9s
 Intro0:00
 Factoring Trinomials0:15
 Example2:42
 Grouping7:20
 Example7:35
 Rules for Signs10:51
 Same as Leading Coefficient is 111:05
 Greatest Common Factor12:29
 Use Whenever Possible12:41
 Example12:59
 Prime Polynomials13:58
 Example14:33
 Solving Equations16:55
 Example17:25
 Example 1: Factor the Polynomial18:46
 Example 2: Factor the Polynomial25:23
 Example 3: Factor the Polynomial32:37
 Example 4: Solve the Polynomial36:18
24m 3s
 Intro0:00
 Difference of Two Squares0:08
 Example0:36
 Factoring Using Several Techniques2:23
 Factoring the GCF2:30
 Example3:22
 Solving Equations5:24
 Example5:50
 Example 1: Factor the Polynomial7:34
 Example 2: Factor the Polynomial9:11
 Example 3: Factor the Polynomial12:00
 Example 4: Solve the Polynomial18:31
18m 10s
 Intro0:00
 Perfect Squares0:07
 Example: Perfect Square Trinomials1:12
 Solving Equations2:57
 Square Root Property3:09
 Example3:28
 Example 1: Factor the Polynomial5:09
 Example 2: Factor the Polynomial6:13
 Example 3: Solve the Polynomial8:43
 Example 4: Solve the Polynomial13:35
35m 45s
 Intro0:00
 Parabolas0:14
 Standard Form of Quadratic Function0:28
 Examples1:05
 Absolute Value of 'a'2:19
 Parabolas That Open Upward3:14
 Minimum3:48
 Example3:57
 Parabolas That Open Downward6:57
 Example7:17
 Maximum9:23
 Vertex9:53
 Example10:40
 Axis of Symmetry14:16
 Example15:03
 Example 1: Graph the Quadratic19:54
 Example 2: Graph the Quadratic24:12
 Example 3: Vertex Maximum or Minimum28:32
 Example 4: Axis of Symmetry31:13
40m 42s
 Intro0:00
 Solving a Quadratic Equation0:08
 Example0:56
 Two Distinct Solutions/Roots8:10
 Roots8:23
 Example: Graphs8:40
 One Double Root9:19
 Example: One XIntercept9:54
 No Real Roots14:03
 Example14:53
 Estimating Solutions18:41
 Example: Not Integers19:18
 Example 1: Solve by Graphing20:18
 Example 2: Solve by Graphing26:36
 Example 3: Solve by Graphing30:18
 Example 4: Estimate by Graphing34:59
28m 13s
 Intro0:00
 Perfect Square Trinomials0:15
 Example0:36
 Completing the Square4:55
 Example6:20
 Completing the Square to Solve Equations9:19
 Example9:40
 When the Leading Coefficient is Not 113:17
 Example14:01
 Example 1: Solve the Equation15:05
 Example 2: Complete the Square20:16
 Example 3: Solve by Completing the Square22:31
 Example 4: Solve by Completing the Square25:02
17m 17s
 Intro0:00
 Quadratic Formula0:17
 Standard Form0:24
 Example1:00
 Discriminant3:14
 Two Solutions and Both Real3:40
 One Real Solution4:07
 No Real Solutions4:28
 Example 1: Solve the Equation6:25
 Example 2: Solve the Equation8:42
 Example 3: Solve the Equation12:02
 Example 4: Number of Real Roots15:23
41m 30s
 Intro0:00
 Radical Expression0:12
 Example: Radicand Simplest Form0:29
 Example: Not Simplest Form1:16
 Principal Square Root (Positive)2:43
 Product Property3:40
 Examples4:05
 Square Roots of Variables with Even Powers7:01
 Eliminate Radical Sign7:42
 Divide Exponent by 27:57
 Absolute Value of Result8:29
 Examples8:52
 Quotient Rule14:12
 Example14:31
 Rationalizing Denominators16:08
 Example16:43
 Conjugates18:33
 Example19:53
 Simplest Radical Form20:58
 Three Criteria21:10
 Example 1: Simplify Expression21:57
 Example 2: Simplify Expression25:12
 Example 3: Simplify Expression31:37
 Example 4: Simplify Expression35:29
21m 52s
 Intro0:00
 Adding and Subtracting Radical Expressions0:13
 Like Radicals0:28
 Distributive Property1:10
 Multiplying Radical Expressions4:24
 Example: Use FOIL4:44
 Example 1: Simplify Expression7:07
 Example 2: Simplify Expression8:51
 Example 3: Simplify Expression12:14
 Example 4: Simplify Expression16:06
27m
 Intro0:00
 Radical Equations0:15
 Examples0:30
 Solving a Radical Equation1:13
 Isolate Radical1:18
 Square Both Sides1:38
 Example1:44
 Extraneous Solutions2:57
 Example: Check Solutions3:30
 Example 1: Solve Equation6:29
 Example 2: Solve Equation9:52
 Example 3: Solve Equation14:29
 Example 4: Solve Equation20:53
17m 24s
 Intro0:00
 Right Triangles0:06
 Vertex0:32
 Hypotenuse0:56
 Legs1:11
 Pythagorean Theorem1:21
 Graphical Representation1:37
 Example2:39
 Pythagorean Triples3:40
 Example3:56
 Converse of the Pythagorean Theorem4:36
 Example6:23
 Example 1: Length of Hypotenuse7:24
 Example 2: Length of Legs9:02
 Example 3: Area of Triangle12:00
 Example 4: Length of Side14:59
26m 50s
 Intro0:00
 Distance Formula0:09
 Similarity to Pythagorean Theorem0:21
 Missing Coordinates5:50
 Example6:22
 Example 1: Distance Between Points11:43
 Example 2: Distance Between Points14:05
 Example 3: Distance Between Points18:18
 Example 4: Missing Coordinate21:57
24m 13s
 Intro0:00
 Direct Variation0:12
 Inverse Variation0:24
 Constant of Variation k0:50
 Y Varies Inversely as X0:59
 Graphing Inverse Variation3:09
 Real World Applications3:24
 Example3:59
 Product Rule10:19
 Alternate Form11:10
 Finding Missing 4th Point11:24
 Example 1: Graph Inverse Variation11:36
 Example 2: Graph Inverse Variation14:47
 Example 3: Find Missing Point19:39
 Example 4: Find Missing Point21:53
34m 22s
 Intro0:00
 Rational Expressions0:10
 Examples0:28
 Excluded Values1:03
 Dividing by 01:29
 Example2:49
 Simplifying Rational Expressions7:12
 Eliminating the GCF7:17
 Example: Regular Fraction7:30
 Example: Rational Expression8:12
 Simplifying and Excluded Values10:15
 Original Rational Expression10:24
 Example10:47
 Example 1: Find Excluded Values13:47
 Example 2: Simplify and Find Excluded Values16:10
 Example 3: Simplify and Find Excluded Values22:04
 Example 4: Simplify and Find Excluded Values26:29
22m 58s
 Intro0:00
 Procedure0:08
 Examples0:29
 Cancel Before Multiplication1:53
 Example2:04
 Rational Expressions Containing Polynomials3:18
 Example3:46
 Example 1: Multiply Rational Expressions6:04
 Example 2: Multiply Rational Expressions9:11
 Example 3: Multiply Rational Expressions11:19
 Example 4: Multiply Rational Expressions17:36
21m 49s
 Intro0:00
 Procedure0:10
 Reciprocal of Expression0:22
 Example: Regular Fractions0:44
 Example: Rational Expressions1:46
 Cancel Before Multiplying3:23
 Why Cancel3:45
 Example4:15
 Rational Expressions Containing Polynomials6:46
 Example7:06
 Example 1: Divide Rational Expressions9:15
 Example 2: Divide Rational Expressions13:11
 Example 3: Divide Rational Expressions15:39
35m 57s
 Intro0:00
 Dividing a Polynomial by a Monomial0:11
 Example: Regular Fractions0:36
 Example: Polynomials1:24
 Dividing a Polynomial by a Binomial2:56
 Example: Dividend and Divisor3:30
 Long Division5:28
 Example: Regular Numbers5:49
 Example: Polynomials7:17
 Missing Terms12:20
 Definition12:40
 Example12:55
 Example 1: Divide the Polynomials18:42
 Example 2: Divide the Polynomials20:54
 Example 3: Divide the Polynomials23:28
 Example 4: Divide the Polynomials28:52
17m 38s
 Intro0:00
 Adding with Like Denominators0:09
 Example: Regular Numbers0:19
 Example: Rational Expressions1:05
 Subtracting with Like Denominators2:35
 Example: Regular Fractions2:52
 Example: Rational Expressions3:05
 Denominators That Are Additive Inverses4:08
 What Are Additive Inverses4:35
 Example5:53
 Example 1: Add Rational Expressions7:54
 Example 2: Subtract Rational Expressions8:43
 Example 3: Add Rational Expressions10:39
 Example 4: Subtract Rational Expressions11:48
37m 16s
 Intro0:00
 Least Common Multiple of Polynomials0:21
 Example: Regular Fractions0:42
 Example: Rational Expressions5:18
 Equivalent Rational Expressions Using LCM7:23
 Example8:09
 Adding and Subtracting14:24
 Summary of Techniques14:32
 Example 1: Find the LCM15:09
 Example 2: Add Rational Expressions17:53
 Example 3: Subtract Rational Expressions22:19
 Example 4: Add Rational Expressions30:44
25m 38s
 Intro0:00
 Mixed Expressions0:10
 Analogy to Mixed Fractions0:23
 Polynomial and Rational Expression0:59
 Example: Combining1:55
 Converting to Rational Expression2:29
 Complex Fraction5:16
 Examples5:30
 Simplifying Complex Fractions6:08
 Example6:27
 Example 1: Write as Rational Expression9:43
 Example 2: Simplify Complex Fractions12:44
 Example 3: Simplify Complex Fractions15:03
 Example 4: Simplify Complex Fractions19:55
38m 9s
 Intro0:00
 Definition0:11
 Example: Cross Multiplication0:39
 Example: Rational Expressions1:13
 Solving Rational Equations3:12
 Multiply by LCM of Denominators3:33
 Example4:02
 Work Problems7:19
 Example: Complete a Project8:17
 Extraneous Solutions12:41
 Check All Solutions13:18
 Example13:54
 Example 1: Solve Rational Equation17:28
 Example 2: Solve Rational Equation19:45
 Example 3: Work Problem27:15
 Example 4: Solve Rational Equation31:10
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For more information, please see full course syllabus of Algebra 1
5 answers
Last reply by: Dr Carleen Eaton
Sat Aug 4, 2012 11:45 AM
Post by Thuc Pham on February 6, 2010
in ex:1, there was a mistake in the denominator where the final value was written instead of the original value