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## Algebra Course Video Tutorial

#### Julio Gonzalez

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226 Videos (20h 46m)
• Lesson 1.1 - Adding Two Numbers Using a Number Line

3:05
• Lesson 1.2 - Subtracting Two Numbers Using a Number Line

3:17
• Lesson 1.3 - Adding Two Large Numbers

2:32
• Lesson 1.4 - Subtracting Two Large Numbers

2:56
• Lesson 1.5 - Understanding The Concept of Multiplication

2:52
• Lesson 1.6 - Understanding Division and Multiplication

2:44
• Lesson 1.7 - Multiplying Two Large Numbers

3:36
• Lesson 1.8 - Long Division

2:04
• Basic Arithmetic Video Quiz

4:08
• Lesson 2.1 - Adding and Subtracting Two Fractions

1:40
• Lesson 2.2 - Adding and Subtracting Three Fractions

4:52
• Lesson 2.3 - Multiplying Fractions

2:21
• Lesson 2.4 - Dividing Fractions

3:00
• Lesson 2.5 - Simplifying Complex Fractions

2:56
• Lesson 2.6 - Interconverting Mixed Numbers and Improper Fractions

3:44
• Lesson 2.7 - Converting Fractions to Decimals Using Long Division

3:37
• Lesson 2.8 - Decimals to Fractions

3:36
• Lecture 2 Video Quiz

7:53
• Lesson 3.1 - Solving Linear Equations By Adding or Subtracting

2:36
• Lesson 3.2 - Solving Linear Equations Using Multiplication and Division

3:06
• Lesson 3.3 - Solving Linear Equations With Variables on Both Sides

4:24
• Lesson 3.4 - The Distributive Property - Solving Equations With Parentheses

4:18
• Lesson 3.5 - Solving Linear Equations With Fractions

5:35
• Lesson 3.6 - Solving Equations With Fractions Using Cross Multiplication

1:44
• Lesson 3.7 - Solving Equations With Decimals

3:31
• Lesson 3 Free Response Video Quiz

7:16
• Lesson 4.1 - PEMDAS - Addition and Subtraction

1:17
• Lesson 4.2 - Multiplication and Division

3:01
• Lesson 4.3 - Mixed Review of 4.1 and 4.2

3:15
• Lesson 4.4 - Exponents

2:32
• Lesson 4.5 - Parentheses and Exponents

3:09
• Lesson 4.6 - Fractions

2:14
• Video Quiz Lecture 4

4:17
• Lesson 5.1 - Graphing Inequalities on a Number Line

6:03
• Lesson 5.2 - Solving Inequalities

6:23
• Lesson 5.3 - Solving Absolute Value Equations

4:20
• Lesson 5.4 - Solving Absolute Value Inequalities

3:55
• Lesson 5.5 - Graphing Absolute Value Functions

10:53
• Lesson 5.6 - Graphing Linear Inequalities on a X-Y Coordinate System

7:04
• Lesson 5.7 - Graphing Systems of Linear Inequalities

10:56
• Video Quiz Lesson 5

5:25
• Lesson 6.1 - Graphing Ordered Pairs

2:43
• Lesson 6.2 - Graphing Linear Equations In Slope-Intercept Form

6:05
• Lesson 6.3 - Graphing Linear Equations In Standard Form

3:11
• Lesson 6.4 - Graphing Horizontal and Vertical Lines

1:55
• Lesson 6.5 - Finding The Slope Between Two Points

5:21
• Lesson 6.6 - Are The Lines Parallel, Perpendicular, or Neither?

3:58
• Lesson 6.7 - Writing Linear Equations Given a Point and the Slope in all 3 Forms

4:55
• Lesson 6.8 - Writing Linear Equations Given Two Points

8:21
• Lesson 6.9 - Writing Linear Equations of Parallel Lines

3:37
• Lesson 6.10 - Writing Linear Equations of Perpendicular Lines

5:53
• Lesson 6.11 - Graphing Linear Equations in Point Slope Form

3:57
• Video Quiz Lesson 6

19:34
• Lesson 7.1 - Introduction to Properties of Exponents

2:18
• Lesson 7.2 - Properties of Exponents Basic Examples

6:24
• Lesson 7.3 - Basic Introduction to Negative Exponents

1:29
• Lesson 7.4 - Negative Exponents - Basic Examples

11:08
• Lesson 7.5 - Monomials, Binomials, Trinomials

3:08
• Lesson 7.6 - Identifying the Leading Coefficient and Degree of the Polynomial

4:44
• Lesson 7.7 - Identifying the Degree of a Polynomial With Multiple Variables

2:59
• Lesson 7.8 - Adding and Subtracting Polynomials

4:25
• Lesson 7.9 - Multiplying Two Binomials

4:25
• Lesson 7.10 - Multiplying a Monomial by a Trinomial

0:54
• Lesson 7.11 - Multiplying a Binomial by a Trinomial

1:31
• Lesson 7.12 - Multiplying Two Trinomials Together

2:15
• Lesson 7.13 - Dividing a Polynomial by a Monomial

2:42
• Lesson 7.14 - Long Division - Dividing a Polynomial by a Binomial

7:44
• Lesson 7 Video Quiz Part 1

12:33
• Lesson 7 Video Quiz Part 2

9:58
• Lesson 8.1 - Factoring The GCF - Greatest Common Factor

2:42
• Lesson 8.2 - Factor By Grouping

2:54
• Lesson 8.3 - Factoring Trinomials x^2 + bx + c

3:40
• Lesson 8.4 - Factoring Trinomials ax^2+bx+c

3:13
• Lesson 8.5 - Factoring Perfect Square Trinomials

5:54
• Lesson 8.6 - Factoring Difference of Squares

3:42
• Lesson 8.7 - Sum and Difference of Cubes

5:18
• Lesson 8.8 - Special Challenge Problems

4:19
• Lesson 8.9 - Solving Equations By Factoring

2:37
• Free Response Video Quiz Lesson 8

12:01
• Lesson 9.1 - Determining If an Ordered Pair is a Solution to a System of Equations

2:36
• Lesson 9.2 - Solving Systems of Equations By Elimination - 2 Variables

3:48
• Lesson 9.3 - Substitution Method

6:16
• Lesson 9.4 - Solving Systems of Equations With Fractions

2:43
• Lesson 9.5 - Solving Systems of Equations With Decimals

2:36
• Lesson 9.6 - One Solution, No Solution, Many Solutions, Consistent vs Inconsistent, Dependent vs Ind

7:29
• Lesson 9.7 - Solving Systems of Equations By Graphing

5:14
• Lesson 9.8 - Systems of Equations In Three Variables

4:21
• Lesson 9.9 - Investment Word Problems

3:26
• Lesson 9.10 - Total Value Word Problem

4:34
• Lesson 9 Free Response Video Quiz

18:14
• Lesson 10.1 - Solving Simple Quadratic Equations

5:22
• Lesson 10.2 - Solving Quadratic Equations By Factoring

7:40
• Lesson 10.3 - The Quadratic Formula

4:26
• Lesson 10.4 - Factoring Difficult Quadratic Equations

5:46
• Lesson 10.5 - Solving Quadratic Equations By Completing The Square

7:56
• Lesson 10.6 - The Discriminant

3:04
• Lesson 10.7 - Writing Quadratic Equations Given The Solution

7:27
• Lesson 10.8 - Writing Quadratic Equations Given 3 Points

5:01
• Lesson 10.9 - Graphing Quadratic Functions Using Transformations

3:09
• Lesson 10.10 - Graphing Quadratic Functions Using a Data Table

9:29
• Lesson 10.11 - Graphing Quadratic Functions In Vertex Form

7:57
• Lesson 10.12 - Graphing Quadratic Functions In Standard Form Using X & Y Intercepts

3:23
• Lesson 10.13 - Standard Form to Vertex Form & Vice Versa

2:42
• Lesson 10.14 - Maximum and Minimum Value Word Problems

5:57
• Lesson 10.15 - Solving Polynomial Equations In Quadratic Form

10:16
• Lesson 10 Multiple Choice Video Quiz

16:56
• Lesson 11.1 - Simplifying Rational Expressions

4:10
• Lesson 11.2 - Multiplying Rational Expressions

7:14
• Lesson 11.3 - Dividing Rational Expressions

6:39
• Lesson 11.4 - Dividing Polynomials By Monomials

2:09
• Lesson 11.5 - Dividing Polynomials By Binomials - Long Division

5:50
• Lesson 11.6 - Adding and Subtracting Rational Expressions With Like Denominators

3:11
• Lesson 11.7 - Adding and Subtracting Rational Expressions With Unlike Denominators

13:13
• Lesson 11.8 - Simplifying Complex Rational Expressions

12:45
• Lesson 11.9 - Solving Rational Equations

11:02
• Lesson 11.10 - Graphing Rational Functions Using Transformations

18:29
• Lesson 11.11 - Horizontal & Slant Asymptotes

8:30
• Lesson 11.12 - Graphing Advanced Rational Functions Part 1

5:19
• Lesson 11.13 - Graphing Advanced Rational Functions Part 2

6:15
• Lesson 11.14 - Graphing Advanced Rational Functions Part 3

7:08
• Lesson 11.15 - Graphing Advanced Rational Functions - Part 4

11:11
• Lesson 11 Video Quiz

14:25
• Lesson 12.1 - Square Roots

3:45
• Lesson 12.2 - Cube Roots

2:44
• Lesson 12.3 - Square Roots & Absolute Value Notation

3:33
• Lesson 12.4 - Simplifying Square Roots

4:08
• Lesson 12.5 - Simplifying Cube Roots

3:27
• Lesson 12.6 - Radical Notation vs Exponential Notation

2:13
• Lesson 12.7 - Simplifying Rational Exponents

4:16
• Lesson 12.8 - Multiplying Rational Expressions

9:46
• Lesson 12.9 - Adding and Subtracting Rational Expressions

4:50
• Lesson 12.10 - Distribute, Foil & Expand

3:57
• Lesson 12.11 - Rationalize The Denominator

9:42
• Lesson 12.12 - Dividing Radical Expressions

8:44
• Lesson 12.13 - Multiplying Radicals With Different Index Numbers

3:49
• Lesson 12.14 - Solving Radical Equations

17:10
• Lesson 12.15 - Graphing Radical Equations

13:46
• Lesson 12.16 - Finding The Domain of a Radical Function

11:13
• Lesson 12.17 - Graphing Cube Root Functions

2:37
• Lesson 12 Video Quiz

16:44
• Lesson 13.1 - Graphing Complex Imaginary Numbers

1:29
• Lesson 13.2 - Absolute Value of Complex Numbers

2:24
• Lesson 13.3 - Adding and Subtracting Complex Numbers

2:14
• Lesson 13.4 - Multiplying Complex Numbers

3:11
• Lesson 13.5 - Foil, Expand, & Multiply By The Conjugate

2:55
• Lesson 13.6 - Dividing Complex Numbers

5:33
• Lesson 13.7 - Simplifying Complex Numbers

5:35
• Lesson 13.8 - Solving Equations With Complex Imaginary Numbers

1:45
• Lesson 13 Video Quiz

12:54
• Lesson 14.1 - Graphing Exponential Functions

10:48
• Lesson 14.2 - Graphing Logarithmic Functions

12:02
• Lesson 14.3 - Exponential Form and Logarithmic Form

2:45
• Lesson 14.4 - Evaluating Logs Without Using a Calculator

9:58
• Lesson 14.5 - Evaluating Logs Using The Change of Base Formula

2:17
• Lesson 14.6 - Simplifying Using Properties of Logs

5:18

4:13
• Lesson 14.8 - Condensing into a Single Logarithm

3:20
• Lesson 14.9 - Solving Exponential Equations Without Logs

4:25
• Lesson 14.10 - Simplifying Natural Logs With e

2:27
• Lesson 14.11 - Solving Exponential Equations Using Logs

5:37
• Lesson 14.12 - Solving Difficult Exponential Equations

6:12
• Lesson 14.13 - Solving Basic Logarithmic Equations

7:16
• Lesson 14.14 - Solving Logarithmic Equations Using Properties of Logs

10:47
• Lesson 14.15 - Solving Difficult Logarithmic Equations

7:06
• Lesson 14.16 - Graphing Functions With Ln and e

5:23
• Lesson 14.17 - Compound Interest Word Problem

5:32
• Lesson 14.18 - Population Growth Word Problem

4:03
• Lesson 14.19 - Number of Bacteria Word Problem

3:40
• Lesson 14 Video Quiz

19:50
• Lesson 15.1 - Is it a Function - Vertical Line Test

2:17
• Lesson 15.2 - Is it a Function - Ordered Pairs

2:13
• Lesson 15.3 - Evaluating Functions With a Single Variable

2:31
• Lesson 15.4 - Evaluating Functions With Multiple Variables

1:02
• Lesson 15.5 - Function Operations

7:09
• Lesson 15.6 - Composite Functions

3:00
• Lesson 15.7 - Evaluating Composite Functions

2:01
• Lesson 15.8 - How To Find The Inverse Function

3:13
• Lesson 15.9 - How To Prove If Two Functions Are Inverses of Each Other

1:59
• Lesson 15.10 - Graphing The Inverse Function Using The Line Y = X

2:23
• Lesson 15.11 - Horizontal Line Test & One to One Functions

4:17
• Lesson 15.12 - Even & Odd Functions

17:46
• Lesson 15 Video Quiz

14:17
• Lesson 16.1 - Graphing Circles In Standard Form

3:04
• Lesson 16.2 - Graphing Circles In Non-Standard Form

3:44
• Lesson 16.3 - Writing The Equation of a Circle In Standard Form

2:05
• Lesson 16.4 - Introduction to Ellipses

3:49
• Lesson 16.5 - Graphing Ellipses Centered At The Origin

5:07
• Lesson 16.6 - Graphing Ellipses Not Centered At The Origin

9:51
• Lesson 16.7 - Graphing Ellipses In Non-Standard Form

7:05
• Lesson 16.8 - Writing The Equation of an Ellipse

8:33
• Lesson 16.9 - Introduction to Hyperbolas

1:49
• Lesson 16.10 - Graphing Hyperbolas Centered at the Origin

7:49
• Lesson 16.11 - Graphing Hyperbolas Not Centered at the Origin

4:26
• Lesson 16.12 - Graphing Hyperbolas In Non-Standard Form

6:24
• Lesson 16.13 - Writing The Equation of Hyperbolas

3:27
• Lesson 16.14 - Introduction to Parabolas

4:19
• Lesson 16.15 - Graphing Parabolas Centered at the Origin

6:02
• Lesson 16.16 - Graphing Parabolas that are not centered at the origin

3:04
• Lesson 16.17 - Graphing Parabolas In Non-Standard Form

4:10
• Lesson 16.18 - Writing The Equation of a Parabola In Standard Form

3:00
• Lesson 16 Video Quiz 1

11:26
• Lesson 16 Video Quiz 2

18:04
• Lesson 17.1 - Writing The First Four Terms of a Sequence

2:32
• Lesson 17.2 - Finding The Indicated Term of a Sequence

1:39
• Lesson 17.3 - Writing a General Equation of a Sequence Using Patterns

7:29
• Lesson 17.4 - Finding The Partial Sum Given a Sequence

1:21
• Lesson 17.5 - Finding The Partial Sum Using Summation Notation

5:14
• Lesson 17.6 - Rewriting a Sum Using Sigma Notation

6:04
• Lesson 17.7 - Writing The General Equation of an Arithmetic Sequence Using a Formula

2:52
• Lesson 17.8 0 Finding The Nth Term of an Arithmetic Sequence

7:58
• Lesson 17.9 - Writing The General Equation Given The 4th and 7th Term

2:17
• Lesson 17.10 - Partial Sum of an Arithmetic Sequence Using a Formula

4:10
• Lesson 17.11 - Word Problem 1 - Sum of First 200 Natural Numbers

1:24
• Lesson 17.12 - Word Problem 2 - Sum of All Even Numbers From 2 to 100

2:07
• Lesson 17.13 - Word Problem 3 - Total Number of Seats In an Auditorium

2:09
• Lesson 17.14 - Finding The Common Ratio of a Geometric Series

1:39
• Lesson 17.15 - Writing The General Equation of a Geometric Sequence

2:12
• Lesson 17.16 - Finding The Nth Term of a Geometric Series

3:58
• Lesson 17.17 - Calculating The Partial Sum of a Geometric Sequence

4:42
• Lesson 17.18 - Finding The Sum of an Infinite Geometric Series

3:28
• Lesson 17.19 - Arithmetic Mean & Geometric Mean

4:19
• Lesson 17.20 - Word Problem 4 - Population Growth

4:05
• Lesson 17.21 - Word Problem 5

3:45
• Lesson 17.22 - Word Problem 6 - Dividing The Amount of Money Received Each Day

2:01
• Lesson 17.23 - Recursively Defined Formulas

2:32
• Lesson 17 Video Quiz

19:18

This course is for high school students taking Algebra 1 or Algebra 2 and for university students taking college algebra.  It contains plenty of examples and practice problems along with video quizzes that contain free response and multiple choice questions.

Here is a list of topics:

1.  Basic Arithmetic - Addition, Subtraction, Multiplication, and Division

2.  Fractions Review

3.  Solving Linear Equations

4.  Order of Operations

5.  Absolute Value Functions & Inequalities

6.  Graphing Linear Equations Using Slope & The Y-Intercept

7.  Polynomials

8.  Factoring

9.  Systems of Linear Equations

11.  Rational Expressions

13.  Complex Imaginary Numbers

14.  Exponential and Logarithmic Functions

15.  Functions

16.  Conic Sections

17.  Arithmetic and Geometric Sequences

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#### Julio Gonzalez

Business Finance Mathematics Algebra Educational Technology Teacher Tools