Algebra for Class 7: A Comprehensive Guide


Algebra is an essential branch of mathematics that lays the foundation for higher-level concepts. This engaging and easy-to-follow content will empower students to tackle algebraic expressions, equations, and operations confidently.
In class 7, students will learn the basics of algebra, including variables, constants, expressions, equations, and inequalities. They will also learn how to solve algebraic problems using the BODMAS rule. Whether you are a beginner or looking to refine your skills, let’s dive into the world of algebra!

The following are some of the topics that students will learn in algebra class 7:

Variables and constants

Variables are letters that represent unknown numbers. For example, the expression x + 2 has the variable x. Constants are numbers that do not change. For example, the expression 3x + 5 has the constant 5.


An equation is a statement that two expressions are equal. For example, the equation 3x + 5 = 10 is an equation.


An inequality is a statement that two expressions are not equal. For example, the inequality 3x + 5 < 10 is an inequality.

The BODMAS rule

The BODMAS rule is a rule for order of operations in mathematics. It stands for:

  • Parentheses (Brackets)
  • Order of operations (exponents and roots)
  • Division
  • Multiplication
  • Addition
  • Subtraction

Solving algebraic problems

There are many different ways to solve algebraic problems. Some common methods include:

  • Combining like terms
  • Factoring
  • Expanding
  • Solving equations
  • Solving inequalities

Simplification of algebraic expressions

Algebraic expressions can be simplified by combining terms, factoring, and expanding. For example, the expression 3x + 2x can be simplified to 5x by combining like terms.


Substitution is a method for solving equations by replacing one variable with another expression. For example, the equation 3x + 5 = 10 can be solved by substituting 2 for x.


Exponents are used to represent repeated multiplication. For example, the expression x2 means x multiplied by itself twice, or x * x.


Surds are numbers that cannot be expressed as a fraction of two integers. For example, the number √2 is a surd.

Square roots

Square roots are the opposite of squaring a number. For example, the square root of 9 is 3, because 3 squared is 9.


Algebra is a challenging but rewarding subject. It can help students develop their problem-solving skills and their understanding of mathematics. By learning algebra, students will be better prepared for high school and beyond.


Here are some examples of algebraic problems that students might encounter in class 7:

  • Simplify the expression 3x + 2x.
  • Factor the expression x2 + 5x + 6.
  • Expand the expression (x + 2)(x + 3).
  • Solve the equation 3x + 5 = 10.
  • Solve the inequality 3x + 5 < 10.