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.

Pre-algebra

• Number Systems
• Operations on Real Numbers
• Order of Operations
• Ratio and Proportion
• Percentages

Core Topics

• Variables and Constants
• Algebraic Expressions
• Operations on Algebraic Expressions
• Algebraic Identities
• Translating Word Problems into Expressions

Equations

• What is an Equation?
• One-Step Equations
• Two-Step and Multi-Step Equations
• Linear equation in one Variable
• Linear Equation in Two Variables
• Graphing Linear Equations
• Linear Inequalities

Systems of Equations and Polynomials

• System of Linear Equations
• Substitution Method
• Elimination Method
• Cross-Multiplication Method
• Polynomials
• Operations on Polynomials: Add & Subtract | Multiplication | Division

Factorization & Quadratics

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

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
• Practice Questions (Easy) | (Medium) | (Hard)
• Practice Problems on Linear Equation in Two Variables
• Practice Questions on Quadratic Equations
• Practice Quiz

Algebra 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