Let's talk about algebra. This is a listing of my YouTube videos in the topic of Algebra.
"The branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations." --dictionary.reference.com
Overview of Algebra
- Introduction to Algebra
- Introduction to Functions and Linear Functions
- System of Equations and Matrices
- Absolute Value and Inequalities
- Polynomial Expressions and Equations
- Rational Expressions and Equations
- Radical Expressions and Equations
- Quadratic Equations and Functions
- Functions and Graphs
1. Introduction to Algebra
Lessons on Simplifying Expressions
- Algebra - simplify using order of operations – 2 examples
- Algebra – simplify using order of operations - a hard example
- Algebra – simplify using order of operations – another example
- Algebra - simplify expression with absolute value - two examples
- Algebra – adding like terms – concept 1
- Algebra – simplifying algebraic expression – example 1
- Algebra – evaluating expressions – example 1
- Algebra – evaluating expression – example2
- Algebra – evaluating expression – example 3
Lessons on Solving Linear Equations
- Algebra – linear equations – general – concept – types of solutions
- Algebra – linear equations – general – concept – steps of solving
- Algebra – linear equations – two steps – example 1
- Algebra – linear equations – two steps – example 2
- Algebra – linear equations – general – example 1
- Algebra – solving a linear equation – two examples
- Algebra – formula –example 1
- algebra - exponential expressions - concept 1
- algebra - simplifying expression with exponents - two examples 1
- algebra - simplifying expression with exponents - two examples 2
- algebra - simplifying expression with exponents - two examples 3
- algebra - simplifying expression with exponents - two examples 4
- algebra - simplifying expression with exponents - example 5
- algebra - simplifying expression with exponents - example 6
- algebra - exponential expressions - scientific notation - example 1
- algebra - exponential expressions - scientific notation - example 2
Lesson on the basics of graphs and functions
- Algebra – graphs and functions – plotting points - examples
- Algebra – graphs and functions – relations – example 1 – function? y/n; domain/range
- Algebra – graphs and functions – general – examples – determining function using vertical line test
- Algebra – graphs and functions – domain and range -examples
Lessons on Lines
- Algebra – lines – graphing – example 1 – using table method
- Algebra –lines – graphing –example 2 - using intercepts
- Algebra – lines – graphing – example 3 – using slope-intercept form
- Algebra – lines – slope –example 1
- Algebra – lines – special cases – examples – vertical/horizontal lines
- Algebra – lines – parallel and perpendicular – concept 1
- Algebra – lines – parallel and perpendicular – example 1
- Algebra – lines – parallel and perpendicular – example 2
- Algebra – lines – parallel and perpendicular – example 3
3. System of Equations and Matrices
Lessons on System of Equations
- algebra - system of equations - types of solutions - concept
- algebra - system of equations - substitution method - example 1
- algebra - system of equations - elimination method - example 1
- algebra - matrices - determinants - two basic examples
- algebra - matrices - determinants - example 2
- algebra - matrices - determinants - example 3 - TI-84 Plus
- algebra - system of equations - cramer's rule - example 1
- algebra - matrices - augmented matrix - two examples
- algebra - matrices - finding the inverse matrix - example 1
- algebra - matrices - row transformations - three basic examples
- algebra - matrices - gaussian elimination - example 1
- algebra - matrices - gauss jordan elimation - example 1
Lessons on Inequalities
- algebra - inequality - example 1
- Algebra – solving a linear inequality – example 1
- Algebra – solving a linear inequality – example 2
- Algebra – inequalities – compound inequalities – two examples – 1
- Algebra – inequalities – compound inequalities – two examples – 2
- Algebra – linear inequalities – graphs – example 1
- Algebra – linear inequalities – graphs – example 2
5. Polynomial Expressions and Equations
Lessons on the Operations of Polynomials
- Algebra – polynomials – addition – example 1
- Algebra – polynomials – subtraction –example 1
- Algebra – polynomials – subtraction – example 2
- Algebra – polynomials – subtraction – example 3
- Algebra – polynomials - multiplication – example 1
- Algebra – polynomials – multiplication – example 2
- Algebra –polynomials – multiplication – example 3
- Algebra – polynomials – multiplication – example 4
- Algebra – polynomials – multiplication – example 5
- “The Art of Factoring” Presentation - on PREZI
- Algebra – polynomials – factoring – concept – overview
- Algebra-polynomials-factoring-concept 2 – determining if prime
- Algebra – polynomials – factoring – example 1 – factoring by grouping
- Algebra – polynomials – factoring – example 2 – grid method
- Algebra – polynomials – factoring – example 3 – grid method
- Algebra – polynomials – factoring – example 4 – factoring by grouping
- Algebra – polynomials – factoring – example 5 – GCF and difference of squares
- Algebra – polynomials – factoring – example 6 – difference of squares
- Algebra – polynomials – factoring – example 7 - GCF
- Algebra – polynomials – factoring – example 8 – difference of cubes
- Algebra – polynomials – factoring – example 9 – quadratic method
- Algebra – polynomials – factoring – example 10 – quadratic method
- Algebra – polynomials – factoring – example 11 – AC method or splitting the middle term
- Algebra – polynomials – factoring – example 12 – box method
- Algebra – polynomials – factoring – example 13 – trial and error method
- Algebra – polynomials – factoring – example 14 – product/sum method
- Algebra – polynomials – factoring – example 15 – fake factoring
- Algebra – polynomials – factoring – example 16 – sum of cubes
- Algebra – polynomials – factoring and multiplying – concept 1 - how to check
- Algebra – polynomials – factoring and multiplying – concept 2 - how to check
Lessons on Rational Expressions
- Algebra – rational expression – simplifying – two examples
- Algebra – rational expression – multiplication – example 1
- Algebra – rational expression – division – example 1
- Algebra – rational expression – subtraction – example 1
- Algebra – rational expressions – complex fractions –example 1
- Algebra – rational expressions – complex fractions –example 2
- Algebra – polynomials – division –example 1 – long division
- Algebra – polynomials – division – example 2 – synthetic division
- Algebra – polynomials – division – example 3 – polynomial by monomial
- Algebra – polynomials – using remainder theorem –example 1
7. Radical Expressions and Equations
Lessons on Radical Expressions
- Algebra-radical expressions - concept
- Algebra – simplifying radical expressions – example 1
- Algebra – simplifying radical expressions – example 2
- Algebra –rationalizing the denominator- two examples
- Algebra – radical equations – example 1
- Algebra – radical equations – example 2
- Algebra – radical equations – example 3 – different root
- Algebra – radical equations – example 4 – with two square roots
- Algebra – complex numbers – radicals – example 1
- Algebra – complex numbers – radicals – example 2
- Algebra – complex numbers – radicals – example 3
- Algebra – complex numbers – radicals – example 4
- Algebra – complex numbers – addition – example 1
- Algebra – complex numbers – subtraction – example 1
- Algebra – complex numbers – subtraction – example 2
- Algebra – complex numbers – multiplication – example 1
- Algebra – complex numbers – multiplication – example 2
- Algebra – complex numbers – division – example 1
Lessons on Quadratic Equations
- algebra - quadratic equations - solving - example 1
- algebra - quadratic equations - solving - example 2
- algebra - quadratic equations - solving - example 3
- algebra - quadratic equations - solving - example 4
- algebra - quadratic equation - solving - example 5 - formula
- Algebra- quadratic equation- formula song
- algebra - quadratic equation - solving - example 5 - completing the square
- algebra - quadratic equation - solving - example 6 - completing the square
- Algebra – quadratic equations – using discriminant - concept
Lessons on Graphs
- algebra - distance between two points - concept 1
- algebra - distance between two points - example 1
- algebra - finding midpoint - example 1
- algebra - circles - equation in standard form - examples
- algebra - functions and graphs - general - examples
- algebra - functions and graphs - composite functions - example 1
Other Information:
You can find overviews of these various topics at:
Any questions, comments, corrections and/or suggestions, you can contact me at jdmathguy@gmail.com
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