# NCERT Solutions for Class 6 Math Chapter 11: Algebra

This chapter introduces a very important branch of mathematics, i.e., Algebra to the students of class 6. It is theorised that algebra as a branch of Mathematics began about 1550 BC, i.e. more than 3500 years ago, when people in Egypt started using symbols to denote unknown numbers. The branch of mathematics where the arithmetic operations were studied on letters with the concept of variable and constants is called algebra. The letters used in algebra are called variables. A variable takes on different values; its value is not fixed. A variable allows us to express relations in any practical situation. Variables allow us to express many standard rules in both geometry and arithmetic in a general way. Students in class 6 will learn to frame an equation from a given set of instructions. An equation denotes a condition on a variable. An equation has two sides, LHS and RHS, between them, is the equal sign. The main idea behind algebra is to replace numbers (or other specific objects) by symbols. Students are taught algebra to develop their skills to use a variable, i.e., uncertain and arrive at a conclusion or answer. The chapter of algebra introduced to the students of class 6 to the following new concepts:

• Variable: This is usually denoted by a letter and mostly 'x'. Its value can change as per the conditions given.
• Algebraic expression: It is a collection of constants and variables, and it is used to denote a condition or situation in mathematics.
• Basic operations on algebraic expressions
• Equations