Algebra is a branch of mathematics concerning the study of structure, relation and quantity.

Together with geometry, analysis, combinatorics, and number theory, algebra is one of the main branches of mathematics. Elementary algebra is often part of the curriculum in secondary education and provides an introduction to the basic ideas of algebra, including effects of adding and multiplying numbers, the concept of variables, definition of polynomials, along with factorization and determining their roots.

Algebra is much broader than elementary algebra and can be generalized. In addition to working directly with numbers, algebra covers working with symbols, variables, and set elements. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.

Absolute Value Equations, Absolute Value Inequalities, Absolute Value Functions

Coefficients, Simplifying Algebraic Fractions, Dividing Algebraic Fractions, Multiplying Algebraic Fractions

Vertical Asymptote, Horizontal Asymptote, Slant Asymptote

Algebraic Equations, First Degree Linear Equations, Fractional Equations, Polynomial Equations, Quadratic Equations, Linear Equations, Solving Equations, Absolute Value Equations, Addition Equations, Subtraction Equations, Multiplication Equations, Division Equations, Multi-Step Equations, Radical Equations, Circle Equation, Logarithmic Equations, Systems Of Equations, Line Equations, Rate Equations, Literal Equations, Rational Equations, Graphing Equations, Parametric Equations, Factoring Equations, Trigonometric Equations, Differential Equations

Properties Of Exponents, Exponential Functions, Operations with Exponents, Exponential Equation, Exponential Expressions, Exponential Growth, Negative Exponents, Multiplying Exponents, Rules Of Exponents, Multiplication Of Exponents

Algebraic Expressions, Evaluating Expressions, Simplifying Expressions, Rational Expressions, Logarithmic Expressions, Radical Expressions, Factoring Expressions, Trigonometric Expressions

Factoring Polynomials, Factoring Trinomials, Factoring Numbers, Factoring Equations, Factoring Expressions

Change Of Base Formula, Quadratic Formula, Solving Formulas

Evaluating Functions, Periodic Functions, Exponential Functions, Polynomial Functions, Function Rule, Composite Functions, Absolute Value Functions, Inverse Functions, Radical Functions, Domain of a Function, Range of a Function, Zeros of a Function, Logarithmic Functions, Trigonometric Functions, Slope of a Function

Graphing, Translating Graphs, Linear Graphs

Solving Inequalities, Absolute Value Inequalities, Quadratic Inequalities, Linear Inequalities

Compound Interest, Interest Rate, Principal Sum, Simple Interest

Addition Of Polynomials, Division Of Polynomials, Multiplication Of Polynomials, Subtraction Of Polynomials, Operations With Polynomials, Factoring Polynomials, Monomials, Trinomials, Polynomial Functions, Rational Zeros, Binomials, Long Polynomial Division

Solving Proportions

Evaluating Rational Functions

Elements Of Sets, Data Sets, Operations With Sets, Venn Diagram

Systems Of Equations, Dependent System, Inconsistent Systems, Nonlinear Systems, Linear Systems

imaginary numbers

complex numbers

sequences and series

simplifiying radical expressions

Real-life examples at home and on the job.

applying the distants to midpoint formulas

area of triangles

sloving word equations

application involving cost

write an equation of a parabola that has one x-intercept and a maximim value

square roots

using the properties together

uniform motion

Cramer's rule

using the discriminant

using the discriminant