[Maths Class Notes] on Algebra for Class 6 Pdf for Exam

We have become acquainted with arithmetic operations on numbers, integers, and fractions. We have also studied different 2 dimensional and 3-dimensional figures. This was geometry which deals with the study of shapes now let us study another branch of Mathematics and that is algebra. Algebra is the branch of mathematics that deals with the study of mathematical symbols and rules for manipulating these symbols. Algebra Class 6 will help you get acquainted with the basics of algebra.

Algebra generally deals with letters that are expressed in the general form.it will help you to find the unknown values easily without computing the whole equation every time. Letters are treated as numbers so that all the operations can be carried out on them. So let us understand algebra class 6 in more detail.

Introduction to Algebra Class 6

We will be discussing the basics of algebra in the introduction to algebra class 6. Let us see some important concepts used in Algebra class 6,

Variable:

Consider, 

____ + 4 = 9 

 here we get 5 as the answer in the place of blank, but in algebra, we cannot write such blank space so we consider a letter x or y or a or b any letter in place of unknown values. Such that

x + 4 = 9

So this letter x which is unknown to us is said to be a variable. A variable can be any letter from a to z. Using letters instead of unknown values makes it easier to find more unknown values either by writing blank spaces.

Variables are the letters used to express the unknown values. It keeps on changing.

Constants

Constants are the values that remain constant or a symbol that has any fixed numeric value.

Algebraic Expression: 

A set of variables, constants, and mathematical operations forms an algebraic expression.

We know that variables have different values, they have no fixed value. They are numbers, that is why operations of addition,  subtraction,  multiplication, and division can be done on them.

Example:  3x + 4

Algebraic Equation

An equation is the set of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division balanced by an equal sign.

On the left side of the equation is the left-hand side(LHS) and the right side of the equation is the right-hand side(RHS). LHS and RHS are balanced by the same values.

Example: x + 4 = 7, where x = 3.

Algebra Formula Class 6

Here is the list of all the algebra formula class 6. It will make you solve your algebraic equations more easily.

Operations Used in Algebra

In algebra different operations used are addition, subtraction, multiplication, and division

Let a and b are two variables they can be written as-

Some Common Rules for Algebraic Expressions

Algebraic expression class 6 have some common rules they are

1. Commutative property of addition

When adding two variables the order of adding the variable doesn’t change the sum of the equation. Let a and b are two variables the commutative property states that, a + b = b + a.

2. Commutative property of multiplication

Interchanging the order of numbers in multiplication does not change the product. Consider  variables a and b as in the case of addition, we can express the commutativity of multiplication of two numbers as- a x b = b x a

3. Distributive multiplication over the addition of numbers.

 Let a,b, and c be three variables,

Then,

a × (b + c) = a × b + a × c

Let us see some examples for algebraic expressions class 6

Solved Examples

Algebraic expressions class 6 examples

Q.Write algebraic expressions for the following statements.

1. Ram is younger than Ramesh by 2 years.

Solution: Let Ramesh’s age be x years

Then algebraic expression will be

Ram’s age is (x – 2) years

2. The price of wheat per kg is 10 less than the price of rice per kg.

Solution: Let the price of rice be x rs per kg

Then the algebraic expression will be

The price of wheat is (x-10)rs per kg

Q.Find the number if 20 is taken away from 5 times a number is 30.

Solution:

Let ‘n‘ be the number.

The expression for 20 is taken away from  5 times of a number is 30.

5n – 20 = 30

5n = 30 – 20

5n = 10

n = 10 / 5

n = 2

Therefore, we get the number 2.

Quiz Time

Here are some algebra questions for class 6

1. The length of a rectangular hall is 8 meters less than 2 times the breadth of the hall. What is the length, if the breadth is b meters?

2. Give expressions for the following cases.

1. 9 is added to a.

2. 7 subtracted from a

3. a multiplied by 7

4. a divided by 7

Solve more algebra questions for class 6 to master the basics of algebra.

Algebra is one the most important aspects of the discipline of Maths. Many fundamental problems of Maths are solved by Algebra, and hence the students are required to learn Algebra from the early Classes. Because many things that happen in our day-to-day life can easily be understood by Algebra, even the small things like profit and loss are somehow related to Algebra. And hence, the same topics are included in the Class 6 Maths syllabus.

Though Algebra is a completely practical subject, it still has theories to understand, because theor
ies lead to practice. And hence it is important for the students to learn the theories of Algebra. But more often than not students may find the theories rather difficult to understand, and therefore decide to skip them, which ultimately results in poor understanding of the subject. And since the Algebra of Class 6 plays a fundamental role in the life of the students, skipping it, that is to say, Algebra is not a good idea at all.

To avoid all these problems, it is important for the students to have a good explanation of all the topics of Algebra in a simple and lucid language, that can be easily understood by the Class 6 Maths students. And hence provides the same to the students of Class 6.

 

An Overview of the Algebra

To explain Algebra in the simplest manner possible, then we can say that Algebra is the study of the symbols of Mathematics and the rules that can manipulate these symbols. Algebra is the thread that unifies almost the whole of Mathematics. From elementary equation solving to the study of abstraction, Algebra includes all. The basic part of Algebra is known as elementary Algebra. And this elementary Algebra is an essential part of not only Mathematics, but also science, Engineering, and even medicines and economics.

Elementary Algebra also differs from arithmetic, specifically in the use of abstractions, because Algebra uses symbols or letters to represent a number that is unknown. We can take the example of here the letters x is unknown but by using the simple knowledge of Algebra we can substitute the 2 from the 6, and hence we can determine the value of x which is in this case 4. Algebra also provides a way for writing the formulas in such a manner that it becomes easy to understand and solve.

The word Algebra comes from the Arabic word “al-jabr” it means “the reunion of the parts which are broken” it was first used in the book title of the Persian Mathematician by the name of Muhammad ibn Musa al-Khwarizmi, who is also regarded as the father of Algebra.

If you wish to learn more about Algebra in detail then you may like to follow this link.