Class 6 Mathematics

Chapter 11: Algebra

STAGE 0: Foundation

Algebra helps us use letters instead of numbers 😊

It makes Maths shorter and easier.

In this chapter, we learn:

Variables
Constants
Algebraic expressions
Simple equations

STAGE 1: Concepts Explained

What is Algebra?

Algebra is a branch of Mathematics that uses letters to represent numbers.

Variables

A variable is a letter that stands for a number.

Examples:

Constants

A constant is a fixed number.

Examples:

2, 5, 10

Algebraic Expressions

An algebraic expression is formed using variables, constants, and operations.

Examples:

x + 5
2y
3a − 4

Simple Equation

An equation shows equality between two sides.

Example:

x + 3 = 8

STAGE 2: Solved Examples

Example 1:
Identify the variable in 5x + 3.

Solution:
The variable is x.

Example 2:
Write an algebraic expression for “5 more than a number”.

Solution:
Let the number be x.
Expression = x + 5

Example 3:
Solve: x + 4 = 10

Solution:
x + 4 = 10
x = 10 − 4
x = 6

STAGE 3: Practice Questions

1. Write an algebraic expression for “3 less than a number”.
2. Identify the variable in 7y − 2.
3. Write an expression for “twice a number”.
4. Solve: x + 5 = 12.
5. Write any one example of an equation.

STAGE 4: Quick Revision

Variables are letters
Constants are fixed numbers
Expressions use letters and numbers
Equations show equality

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Class 6 Mathematics – Learn Without Fear

Class 6 Mathematics – Complete NCERT Library

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