Algebra in Math (original) (raw)
- Number System and Arithmetic
- Algebra
- Set Theory
- Probability
- Statistics
- Geometry
- Calculus
- Logarithms
- Mensuration
- Matrices
- Trigonometry
- Mathematics
Last Updated : 9 Jun, 2026
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
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
Explore
Basic Arithmetic
- Numbers in Maths2 min read
- Arithmetic Operations8 min read
- Fractions in Maths3 min read
- Decimals in Maths8 min read
- Exponents7 min read
- Percentage4 min read
Algebra
- Variable in Maths4 min read
- Polynomials2 min read
- Coefficient5 min read
- Algebraic Identities14 min read
- Properties of Algebraic Operations1 min read
Geometry
- Lines and Angles2 min read
- Geometric Shapes in Maths2 min read
- Area and Perimeter2 min read
- Surface Areas and Volumes1 min read
- Points, Lines and Planes11 min read
- Coordinate Axes and Coordinate Planes in 3D space6 min read
Calculus
- Introduction to Differential Calculus3 min read
- Limits in Calculus11 min read
- Continuity of Functions8 min read
- Differentiation2 min read
- Differentiability of Functions10 min read
- Integration2 min read
Probability and Statistics
- Basic Concepts of Probability6 min read
- Bayes' Theorem13 min read
- Probability Distribution1 min read
- Descriptive Statistic for Data Science5 min read
- Introduction to Inferential Statistics5 min read
- Measures of Central Tendency in Statistics8 min read
- Set Theory2 min read
Practice
- NCERT Solutions for Class 8 to 127 min read
- RD Sharma Class 8 Solutions for Maths: Chapter Wise PDF5 min read
- RD Sharma Class 9 Solutions10 min read
- RD Sharma Class 10 Solutions9 min read
- RD Sharma Class 11 Solutions for Maths13 min read
- RD Sharma Class 12 Solutions for Maths13 min read
Courses