"Elementary Algebra is branch of mathematics of generalized arithmetical operations."

Elementary Algebra videos include the following topics:

1. A Review of Arithmetic

   In "A Review of Arithmetic", we investigate many skills used throughout Algebra such as some basic concepts of arithemtic and algebra, common fraction operations, decimal and percent operations and some concepts from Geometry.

2. Algebra and the Real Numbers

   With a foundation of some arithmetic skills, we investigate that basis of Algebra. In this topic, we explore sets and the real number system; symbols, variables, and the absolute value; addition, subtraction, multiplication and division or real numbers (including signed numbers); and properties of real numbers.

3. Linear Equations and Inequalities in One Variable

   Now that we can perform operations with real numbers, we learn one of the most important skills from Algebra, how to solve linear equations and inequalities of one variable. In this topic, we explore, how to simplify algebraic expressions; solving linear equations using the addition, subtraction, multiplication and division properties of equality; how to solve literal equations and formulas for a variable; how to solve inequalities using the addition, subtraction, multiplication, and division properties of inequalities; solving absolute value equations and inequalities; and how to apply these solving skills in daily life applications.

4. Linear Equations and Inequalities in Two Variables; Functions

   Another skill that is explore in Algebra is the concept of the rectangular coordinate system, plotting points and graphing. Here, we explore the foundations of this topic including Exploring the Rectangular (Cartesian) Coordinate System, graphing linear equations in two variables, understanding the slope of a line and equations of lines; graphing linear inequalities in two variables and exploring relations, functions, and function notation.

5. Systems of Linear Equations and Inequalities

   If we can graph one line, why not two or more? Possibly these lines intersect at a point which leads to the idea of system of equations. In this topic, we explore solving linear equations by the Graphing, Elimination, and Substitution Methods as well as solving systems of linear inequalities and how to apply these skills to real world applications.

6. Polynomials and the Laws of Exponents

   Since Algebra is the generalization of arithmetic, we explore arithmetic operations with variables. In this topic, we explore the Laws of Exponents and Scientific Notation; classifying, adding, subtracting, multiplying and dividing polynomials and applications of polynomials to real world scenarios.

7. Products and Factors

   One fundamental skill that comes out of Algebra is the reverse operation of multiplication which is called factoring. This also happens to be a challenge topic many people have difficulty with. We've included hundreds of videos in this topic that cover factoring out the greatest common factor (gcf); factoring trinomials with leading coefficient of 1 or not 1 using the reverse of FOIL (what we call FLIO); special factoring formulas like the difference of two squares, perfect square trinomials, and the sum and difference of two cubes as well as factoring by grouping; a summary of factoring techniques; how to solve factorable quadratic equations and applications to real world situations.

8. Rational Expressions and Fractions

   After learning how to manipulate fractions such as reducing, multiplying, dividing, adding and subtracting, we combine these skills with factoring and simplifying polynomaisl to learn how to perform fraction operations with rational expressions. Besides learning how to reduce, simplify, multiply, divide, add, and subtract rational expressions, we investigate complex fractions (fractions within fractions that are used in higher mathematics), solving rational equations, exploring ratios and proportions as well as variations.

9. Roots and Radicals

   In previous subjects of mathematics, we've learned how to simplify radicals. Hee, we learn how to simplify, multiply, divide, add and subtract radicals containing algebraic expressions. We also learn new concepts such as rationalizing the denominator, solving equations containing radicals, and explore rational exponents and radicals.

10. Quadratic Equations

    At the end of this subject, we learn how to solve the next level of polynomial equations after linear equations, the quadratic equations. We learn multiple ways of solving quadratic equations such as by factoring and the square root method; solving quadratics equations by completing the square and by using the Quadratic Formula. We also explore complex numbers and solving quadratic equations with complex number solutions as well as graphing the parabola and applications of quadratic equations to real world scenarios.