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Simple Equations Class 7 Notes CBSE Maths Chapter 4 (Free PDF Download)

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Last updated date: 17th Apr 2024
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Revision Notes for CBSE Class 7 Maths Chapter 4 - Free PDF Download

CBSE Class 7 Maths Revision Notes are prepared by an expert team at Vedantu. These solutions will help students to address their doubts in a better way, and they can understand the concept in an easy way. Students can go through these CBSE Class 7 Simple Equation Revision Notes to secure good scores in their board examination. The subject experts at Vedantu have prepared these revision notes on Class 7 Maths Chapter 4 as per the latest CBSE syllabus and following the Board’s guidelines. In order to have a thorough understanding of the chapter, download Simple Equation Class 7 Revision Notes Maths which is available in PDF format.

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. You can also register Online for NCERT Solutions Class 7 Science tuition on Vedantu.com to score more marks in CBSE board examination.

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Access Class VII Mathematics Chapter 4 - Simple Equations Notes in 30 Minutes

  • The value of a variable can take on a variety of numerical values whose value is not fixed. 

  • Variables can be represented as alphabetical letters such as $\text{a, b, c, x, y, z}$ etc.

  • Expressions are made up of variables.

  • The expressions are created by performing operations on the variables such as addition, subtraction, multiplication, and division.

  • An equation is a condition on a variable that demands that two expressions in the variable have the same value.

  • The solution of the equation is the value of the variable for which the equation is satisfied.

  • If the $\text{LHS}$ and $\text{RHS}$ are swapped or interchanged, the equation remains the same.

  • In the case of the balanced equation, if we

  1. Add the same number to both the sides, or 

  2. Subtract the same number from both sides, or

  3. Multiply both sides by the same number, or

  4. Divide both sides by the same number, the balance remains undisturbed, i.e., the value of the $\text{LHS}$ remains equal to the value of the $\text{RHS}$.

Example:

Consider an equality $\text{16 - 5 = 8 + 3}$.

Solution:

The above equality holds, since both its sides are equal (each is equal to $\text{11}$).

1. Let us now add $3$ to both sides; as a result

$\text{LHS = 16 - 5 + 3}$

$\text{LHS = 11 + 3}$

$\text{LHS = 14}$

$\text{RHS = 8 + 3 + 3}$

$\text{RHS = 11 + 3}$

$\text{RHS = 14}$

That is 

$\text{LHS = RHS}$ , Here equality holds.

2. Let us now subtract $3$ to both sides; as a result

$\text{LHS = 16 - 5 - 3}$

$\text{LHS = 11 - 3}$

$\text{LHS = 8}$

$\text{RHS = 8 + 3 - 3}$

$\text{RHS = 8}$

That is 

$\text{LHS = RHS}$ 

Here equality holds.

3. Let us now multiply by $5$ to both sides; we get

$\text{LHS = }\left( \text{16 - 5} \right)\times 5$

$\text{LHS = 11}\times 5$

$\text{LHS = 55}$

$\text{RHS = }\left( \text{8 + 3} \right)\times \text{5}$

$\text{RHS = 11}\times \text{5}$

$\text{RHS = }55$

That is 

$\text{LHS = RHS}$ 

Here equality holds.

4. Let us now divide by $5$ to both sides; we get

$\text{LHS = }\left( \text{16 - 5} \right)\div 5$

$\text{LHS = 11}\div 5$

$\text{LHS = }\dfrac{11}{5}$

$\text{RHS = }\left( \text{8 + 3} \right)\div \text{5}$

$\text{RHS = 11}\div \text{5}$

$\text{RHS = }\dfrac{11}{5}$

That is 

$\text{LHS = RHS}$ 

Here equality holds.

  • The equality may not hold if we do not do the same mathematical operation with the same integer on both sides of an equivalence.

  • The above property provides a method for solving an equation in a systematic manner. 

On both sides of the equation, we perform a series of identical mathematical operations in such a way that one side yields only the variable. 

The equation's solution is the final step.

  • Changing the side of a number (that is transposing it) is the same as adding or subtracting the number from both sides.

  • Moving to the opposite side is referred to as transposing. 

  • The effect of transposing a number is the same as adding (or removing) the same number to both sides of the equation.

  • You can change the sign of a number when you move it from one side of an equation to the other.

Example:

In the equation $\text{y - 7 = 15}$, transposing $\text{- 7}$ from the $\text{LHS}$ to the $\text{RHS}$ which gives,

$\text{y = 15 + 7}$

$\text{y = 22}$

  • The transposition of an expression can be done in the same way that the transposition of a number can be done.

  • We learned how to write simple algebraic expressions that correspond to real-life situations.

  • We also learned how to build an equation from its solution by employing the concept of doing the same mathematical operation (for example, adding the same integer) on both sides. 

  • We also learned that we might apply a given equation to a specific practical scenario and use the equation to create a practical word problem or puzzle.

Example:

1. Nita’s father’s age is $10$ years more than twice times Nita’s age. Find Nita’s age, if her father is $\text{54}$ years old.

Solution:

Consider Nita’s age will be $\text{x}$

We know that, Nita’s father’s age is $10$ years more than twice times Nita’s age and now he is $\text{54}$ years old.

Therefore, we can express as;

$\text{2x + 10 = 54}$

By transposing $\text{+ 10}$ from $\text{LHS}$ to $\text{RHS}$, we get

$\text{2x = 54 - 10}$

$\text{2x = 44}$

$\text{   x = }\dfrac{44}{2}$

Hence,

$\text{   x = 22}$

Therefore, Nita’s age is $\text{22}$ years.

Simple Equations Class 7 Notes Maths Chapter 4- PDF Download

Let’s revise the concepts in the chapter briefly:

Simple Equations

A simple equation is the set of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division which are balanced by an equal sign. The left side of the equation is called the left-hand side (LHS) and the right side of the equation is called the right-hand side (RHS). 

Consider an example x + 3 = 8. So, this letter x which is unknown is said to be a variable. A variable can be represented by any letter from a to z. We can write a general equation in one variable x in the form of ax+b=c

Here the Variable ‘a’ Represents the Coefficient of x, and the Variables b and c Represents the Constant Term

  • Variables: The letters used to express the unknown values are known as variables. 

  • Constants: Constants are the values that remain constant throughout the solution. In other words, it is a symbol that has any fixed numeric value.

Equal to Sign: An equal to sign represents the balanced status between the left-hand-side(LHS) and the right-hand-side(RHS) of the equation.

Solving Simple Equations

In many cases solving simple equations requires rearrangement. This means that we need to move all the terms or numbers to one side of the equality symbol (such as =, >, or <) and x on the other side of the equality symbol. We can also refer to this process as isolating x.

We Can Always Rearrange the Equations for Solving Simple Equations Using a Set of Extremely Simple Rules:

  1. Whatever we do to one side of the equation, we must do the same to the other. That way you preserve the relationship between them. It doesn’t matter what you do, whether it’s take away 2, add 57, multiply by 150, or divide by x.

  2. As long as we do operations on both sides, the equation remains correct. It can help to think of your equation as a set of scales or a see-saw, which must always balance.

  3. Solving simple equations is also done according to the BODMAS rule. So always remember to do the calculation in the right order.

  4. Make equations as simple as possible: multiply the brackets, divide, cancel out the fractions, and add or subtract all the like terms.


Importances of Solving Simple Equations of Class 7 Notes CBSE Maths Chapter 4 (Free PDF Download)

The "Simple Equations Class 7 Notes CBSE Maths Chapter 4 (Free PDF Download)" are of paramount importance in a student's mathematical journey. This chapter introduces fundamental concepts of algebraic equations, laying a strong foundation for more advanced mathematical topics in the future. These notes provide a structured and clear explanation of how to formulate and solve simple equations, a skill essential for solving a wide range of real-world problems.


Moreover, understanding equations is not just about mathematics; it promotes critical thinking and problem-solving skills. It encourages students to translate practical scenarios into mathematical expressions, fostering logical reasoning and analytical abilities. The free PDF download of these notes makes quality education accessible to all, transcending geographical and economic barriers. In essence, these notes empower students with a versatile mathematical toolset that not only aids in academic success but also in making informed decisions in various aspects of life, making them well-rounded and equipped individuals.


Advantages of  Revision Notes of CBSE Class 7 Chapter 4 

Following are the advantages of referring to the Revision Notes by Vedantu: 

  • Students will be able to revise the important concepts and formulas. 

  • Students can have a quick revision of all the topics of this chapter which are important from an exam point of view.

  • The revision notes are very essential for last-minute examination preparation.

  • Studying from revision notes will minimise chances of making simple, but conspicuous mistakes

  • These revision notes are highly beneficial as all the important topics of CBSE Class 7 Maths Notes of Simple Equations are covered systematically in this PDF.

Conclusion

"Simple Equations Class 7 Notes CBSE Maths Chapter 4 [Free PDF Download]" plays a pivotal role in shaping students' mathematical acumen. This chapter serves as a crucial stepping stone in the realm of algebra, introducing students to the essential concept of solving equations. These free PDF notes provide a comprehensive and accessible resource, making quality education available to a wider audience. Beyond academic excellence, the significance of these notes lies in their ability to nurture critical thinking, problem-solving skills, and logical reasoning. They empower students to approach real-world challenges with mathematical precision, equipping them with lifelong skills that extend far beyond the classroom.

FAQs on Simple Equations Class 7 Notes CBSE Maths Chapter 4 (Free PDF Download)

1. How Vedantu has helped CBSE Class 7 students to make their revision easy?

While preparing for examinations it is very important to have good study material for revision. To make your preparation ace up, we at Vedantu offer you the most refined and effective CBSE revision notes. Revision Notes Class 7 Maths Chapter 4 will provide you a summary of all the important and relevant topics as well as highlight the significant references from chapter 4 Simple Equations.


2. Is there any order to consider while adding or subtracting numbers?

No. Addition demonstrates that it doesn’t matter what order we do the addition, the answer will still be the same. This means that we can always rearrange the expression to put together the like terms and therefore make it easier to add up. The same applies to Subtraction too, as long as we remember that subtracting is the same as adding a negative number. So, for example, 10 − 3 = 10 + (-3).

3. How are CBSE Class 7 Maths Revision Notes prepared?

Class 7 Maths Chapter 4 Revision Notes provided by Vedantu help students revise each and every important concepts related to simple equations in detail. The Vedantu revision notes for class 7 are prepared by collecting extracts from NCERT books as well as some standard books strictly based on the CBSE pattern.

4. Can I download the PDF of Notes for Chapter 4 of Class 7 “Simple Equations”?

The Revision Notes for Chapter 4 “Simple Equations” of Maths of  Class 7 are available on the internet as well as in the solution books such as an NCERT exemplar, exam idea, and U-like. You can find a digital copy of Revision Notes to download from the official site of Vedantu. Vedantu is a highly recommended and trusted site for study material by students and teachers. Vedantu provides Revision Notes in a PDF format that is accessible to students without costing them any money.

5. Is Chapter 4 of Class 7 Mathematics difficult to understand?

Chapter 4 “Simple Equations” is a very important chapter for higher standards. The difficulty of the chapter is a subjective concept but since it is a new concept, some students may find the chapter hard to understand. Revision Notes help you understand these complex and new concepts. Revision Notes provide you with formulas and methods to solve simple equations effectively. These notes also provide you with extra practice which opens up your mind to new questions related to simple equations.

6. Are Chapter 4 of Class 7 Revision Notes of Maths good for study purposes?

NCERT Revision Notes are highly factual and knowledgeable to strengthen your basics in Mathematics. Chapter 4 talks about simple equations which are one of the most important base chapters for algebra-based chapters in the future. Revision notes provide all the formulas, methods, and theorems in one place which saves students’ time and energy. Revision notes also provide you with chapter summaries which is a great way to revise a chapter quickly the night before the exam. These notes are also available on Vedantu Mobile app.

7. Are NCERT examples of Chapter 4 of Maths of Class 7 students important to practice?

The NCERT examples are very necessary for the preparation of the exam. The concept of simple equations is relatively new for the students of Class 7. Before diving into the exercises of the chapter, it is always better to practice the examples and how the method has been followed. Examples of NCERT are a nice warm-up, before trying your hand on NCERT exercises. NCERT examples are also important for the preparation of examinations as many times examples are asked with a change in digits here and there.

8. How many questions are there for Chapter 4 of Maths of Class 7?

There are a total of four exercises and combined questions of all the four exercises sum up to a total of 18 questions. 

  • Exercise 4.1 - six questions with further subdivisions in each question 

  • Exercise 4.2 - four questions with subdivisions in each question 

  • Exercise 4.3 - four questions 

  • Exercise 4.4 consists of four questions as well with a further division in subdivisions.

Revision Notes provide you with all the concepts on which these 18 questions are based, in a PDF format.