Algebra in Math

Algebra is the branch of mathematics that deals with symbols (or variables) and the rules for manipulating them.

It is mainly divided into two types:

• Elementary Algebra (Taught in Schools): Deals with variables and operations like addition, subtraction, multiplication, and powers.
  Example, x + 10 = 100, x² - 2x + 1 = 5, and x + y = 20.
• Abstract Algebra (Taught in Colleges): Deals with groups, rings, and fields instead of normal variables (representing numbers).

Why Learn Algebra

• Builds strong logical thinking and problem-solving skills useful in academics and daily life.
• Forms the foundation for advanced topics like calculus, coordinate geometry, and statistics.
• Used in science, engineering, economics, computer science, and data analysis.
• Helps solve real-world problems involving patterns, relationships, and unknown values.

Understanding Equations

Learn to solve equations step by step, from simple one-step to complex multi-step equations.

• Basics of Algebra
• Equations
• Solving Equations
• Solving One-Step Equations
• Solving Two-Step Equations
• Multi-Step Equations
• Solving Equations with Variables on Both Sides

Exponents and Polynomials

Understand powers, roots, and exponents, and learn how to simplify and perform operations on polynomials.

• Power and Roots
• Laws of Exponents
• Polynomials
• Simplifying Polynomials and Combining Like Terms
• Distributive Property
• Algebraic Expressions
• Operations on Polynomials Add & Subtract | Multiplication | Division

Functions and Inequalities

Explore functions, graphs, slope, and distance, and understand how to solve and graph inequalities.

• Introduction
• Domain and Range
• Graphing Functions
• Linear Functions
• Slope of a Function
• Distance and Midpoint Formula
• Inequalities
• Graphing Linear Inequalities

Factorization & Quadratics

Learn to factor polynomials, apply important theorems, and solve quadratic equations using different methods.

• Factorization of Polynomial
• Factor Theorem and Remainder Theorem
• Zeroes of a Polynomial
• Quadratic Equations
• Solving Quadratics
• Quadratic Formula

Systems of Equations

Learn to solve systems of linear equations using substitution, elimination, and graphing, and understand systems of inequalities.

• Linear Equations in Two Variables
• System of Linear Equations
• Solving Systems by Substitution
• Solving Systems by Elimination
• Solving Systems by Graphing
• System of Inequalities

Practice

Practice questions at different difficulty levels, including linear and quadratic equations, to help you sharpen your skills and prepare for exams.

• Algebra Formulas
• Algebra Tricks for Aptitude
• Aptitude Questions & Answers
• Translating Word Problems into Expressions
• Practice Questions (Easy) | (Medium) | (Hard)
• Practice Problems on Linear Equation in Two Variables
• Practice Questions on Quadratic Equations
• Practice Quiz

For Programmers

Algebra concepts for programmers, including coding solutions for linear and quadratic equations.

• Find number of solutions of a linear equation of n variables
• Program to find number of solutions in Quadratic Equation
• Program to find the Roots of Quadratic equation
• Find the missing value from the given equation a + b = c
• Maximum and Minimum Values of an Algebraic Expression