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Algebraic Expressions Class 7 Notes CBSE Maths Chapter 12 (Free PDF Download)

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Last updated date: 04th Mar 2024
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IVSAT 2024

Revision Notes for CBSE Class 7 Maths Chapter 12 Algebraic Expressions - Free PDF Download

Algebraic Expressions Class 7 notes is one of the most important study materials offered by Vedantu to help students to minimize the stress that they may face during their exam. Class 7 revision notes Algebraic Expressions is formulated as per the latest CBSE syllabus. Due to this, they are mostly preferred by students of Class 7. The step - by - step explanation and shortcut methods used to formulate help students with a quick revision. Download NCERT Solutions PDF and opt to cross-refer post-answering questions to score subject-best marks. Subjects like Science, Maths, English, Social Science, Hindi will become easy to study if you have access to NCERT Solution for Class 7 Science , Maths solutions and solutions of other subjects. You can also download NCERT Solutions for Class 7 Maths to help you to revise complete syllabus and score more marks in your examinations.

Download CBSE Class 7 Maths Revision Notes 2023-24 PDF

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Access Class 7 Mathematics Chapter 12 Algebraic expressions Notes in 30 Minutes

Terminologies:

  • A constant is a defined as a term having fixed numeral value. e.g., $8,23,\sqrt{21},4\dfrac{3}{2}$ etc.

  • A variable or literal is the term that does not have any fixed value and can be replaced or assigned with a constant as per requirement. e.g., $x,a,y,b,z$ etc.

  • A term can be a numeral or a variable or combination (product or quotient) of both numerals and variables. e.g., $7,x,5y,6ax,\dfrac{18}{zx},\dfrac{ab}{c}$ etc.

  • A term is a product of factors. The term $4xy$ in the expression $4xy+7$ is a product of factors $x,y$ and $4$. Factors that containing variable are said to be algebraic factors.

  • Terms which have the same algebraic factors are known as like terms whereas the terms which have different algebraic factors are unlike terms. Thus, terms $4xz$ and $-3xz$ are like terms; but terms $7xy$ and $-8x$ are not like terms. Although multiplication and division operations can be performed for both like and unlike terms.

  • The coefficient of any term in an expression is the numerical factor in that term. Sometimes any one factor in a term is called the coefficient of the remaining part of the term.

  • Expressions are made up of terms. Terms are added to make an expression. For example, the addition of the terms $4xy$ and $7$ gives the expression $4xy+7$. An expression that has one or more terms is called a polynomial.

  • Monomials are one-term expressions, binomials are two-term expressions and trinomials are three-term expressions.

Algebraic Expressions:

Algebraic expressions are formed from variables and constants. To form algebraic expressions we use the basic algebraic operations of addition, subtraction, multiplication and division on the variables and constants. For example, the expression $4xy+7$ is formed from the variables $x$ and $y$ and constants $4$ and $7$. The constant $4$ and the variables $x$ and $y$ are multiplied to give the product $4xy$ and the constant $7$ is added to this product to give the expression.

Addition And Subtraction Of Algebraic Expressions:

  • When we add like terms then final result gives another like term with the numerical coefficient equal to the sum of coefficients of all like terms. e.g., $4xy+5xy=(4+5)xy=9xy$.

  • Like terms when subtracted gives another like term with the numerical coefficient equal to the difference of coefficients of all like terms. e.g., $4xy-5xy=(4-5)xy=-xy$.

  • Unlike terms can neither be added nor subtracted like the like terms.

  • When two algebraic expressions are added or subtracted, we put the like terms together and keep the unlike terms as it is. And then perform the required operations. e.g., the sum of $(3x+13+9xy)$ and $(5xy-8z-2x)$ will be

$(3x+13+9xy)+(5xy-8z-2x)$

$=(9+5)xy+(3-2)x+13-8z$

$=14xy+x-8z+13$


Finding Value Of An Expression:

The exact or numeral value of an algebraic expression always depends on the values of variables in that expression. Generally, the value of an expression is determined when we need to check if a particular value satisfies a given equation. Values of expressions are also determined when we use formulas from everyday mathematics and geometry. For example, the area of a square is given by the formula ${{a}^{2}}$, where $a$ is the length of its side. So, if the length of side is given as $2cm$, then the area will be ${{(2cm)}^{2}}=4c{{m}^{2}}$.

Using Algebraic Expressions:

  • Perimeter formulas: Perimeter of any polygon is its circumferential length and can be determined by adding the lengths of each of its sides. For regular polygons where the length of each side is the same, the perimeter can simply be determined by multiplying the length of one side with the number of sides of the polygon. For example, consider $l$ as the length of a side of a regular polygon, then for an equilateral triangle, the perimeter will be $3l$, for a square or rhombus will be $4l$, for a regular pentagon will be $5l$ and so on.

  • Area formula: Area of a square with one of its sides having length $l$ is given by ${{l}^{2}}$. Similarly, for a triangle with base length $b$ and height $h$, area is given by $\dfrac{b\times h}{2}$. And the area of a rectangle with length $l$ and breadth $b$ is given by $lb$.

  • Rules for number patterns: General terms of different progressions or series of numbers are denoted using algebraic expressions. For example, suppose $n$ is any natural number, then $2n$ will be an even number and $2n+1$ will be an odd number. Similarly, to find out the terms in multiples of 5 we can denote the sequence as $5,10,15,......,5n,....$.

  • Geometrical patterns – The number of diagonals in a polygon can be determined by the expression $(n-3)$, where $n$ is the number of sides of that polygon. The Sum of interior angles of a regular polygon can be determined by the expression $(n-2)\times {{180}^{\circ }}$.

These Algebraic Expressions Class 7 notes are the best study material as they are curated by the expert teachers at Vedantu who have comprehensive knowledge about the Algebraic expression. With the help of these revision notes, you can revise your Chapter 12 Algebraic expression at any time. Apart from Ch 12 Class 7 Maths revision notes, Vedantu also offers Class 7 Chapter 12 NCERT solutions as a free PDF download to ensure that you get the maximum score in your examination.

Last-minute revision is not at all easy. Our Ch 12 Class 7 Maths revision notes summarise the important topic of the chapter in the easiest way. They provide students with an additional advantage and enhance their self- confidence during the exam. Our Revision Notes Class 7 Maths Chapter 12 has been formulated by the teachers with close to 20 years of experience and after referring to Class 7 Mathematics previous year question papers. Further, they are curated according to the latest CBSE syllabus so that any deviation in the syllabus is easily considered. This is the reason why these  Ch 12 Class 7 Maths Revision Notes are error-free, well structured, and easy to understand.

Downloading these revision notes is effective in the long run as they can be accessed from anywhere and at any time even if you don't have an internet connection. Hence, it is suggested to refer to Ch 12 Class 7 Maths Revision Notes if you want to clear Algebraic expression important concepts and also want to score more marks in the examination. Free PDFs for Revision Notes Class 7 Maths Chapter 12 will also provide you with a strong base for the preparation of other competitive exams like the Olympiad, JEE Main exam, etc. So download it today and start your preparation.

About Class 7 Chapter 12 Algebraic Expression

Chapter 12 Algebraic expression focuses on the formation of expression. In your previous class V1, you must have studied how algebraic expressions are used to formulate puzzles and problems. You must have also seen examples of several expressions in the chapter simple equation.

Expressions are important concepts of Algebra. In Class 7 Chapter 12 Algebraic Expression, you will study how expressions are formed, how expressions can be combined, how we can find the algebraic expression values, and how they can be used.

Chapter 12 Algebraic Expression includes a total of 4 exercises and 8 sections. Let us discuss the important topics covered in different sections.

  • 12.1 - Introduction of the Chapter

  • 12.2 - How Expressions are Formed 

  • 12.3 - Terms of an Expressions

  • 12.4  - Like and Unlike terms

  • 12.5 - Monomials, Binomials, Trinomials, and Polynomials

  • 12.6 -  Addition and Subtraction of Algebraic Expressions

  • 12.7 - Finding the Value of an Expression

  • 12.8 -  Using Algebraic Expressions - Rules and Formulas 

The formulas and rules covered in sections 12.8 are:

  • Perimeter Formulas

  • Area Formulas

  • Rules for Number Pattern

  • Pattern in Geometry

Class 7 Chapter 12 Algebraic Expression is important as it helps students to learn how algebraic expressions are formed and the way variables, constant, and arithmetic operations are used to form algebraic expressions. It also helps students to learn how to draw tree diagrams with the help of factors and terms of different algebraic expressions. To have a better understanding of the chapter, it is recommended to download Ch 12 Class 7 Maths Revision Notes free PDFs now.

Key Features of Vedantu’s Algebraic Expressions Class 7 Notes

To score good marks in Mathematics, it is important to study your NCERT textbook thoroughly and understand every concept mentioned in it. Try to solve all the Algebraic expression solved examples along with exercise questions to gain sufficient practical knowledge of the concepts. Vedantu experts initiate to provide Maths Class 7 Algebraic Expressions notes for a better understanding of students.

Some of the key feature Maths Class 7 Algebraic Expressions notes PDF are:

  • You can gain a better understating of your subject with an explanation of the important topics by our experts.

  • These detailed explanations of all the Algebraic expression important topics will fetch you a deeper understanding of the chapter.

  • You can download Class 7 Algebraic Expressions notes PDF anytime as per your convenience. 

  • You can work hard and be able to solve all the numerical questions efficiently by revising Class 7 Algebraic Expressions notes repeatedly.

  • Class 7 Algebraic Expressions notes offered by Vedantu will not only provide you with a precise explanation of the important topics but also gives you about the proper presentation of the numerical questions that will surely help you to fetch good marks.


Conclusion

For an enhanced comprehension of this subject, NCERT - Class 7 Maths Chapter 12 - Algebraic Expressions, thoughtfully prepared by experienced educators at Vedantu, is your invaluable companion. These notes break down the complexities of Algebraic Expressions into easily digestible sections, helping you grasp new concepts, master formulas, and navigate through questions effortlessly and quickly at the last minute as well. By immersing yourself in these notes, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.

FAQs on Algebraic Expressions Class 7 Notes CBSE Maths Chapter 12 (Free PDF Download)

1. What are the main topics that are covered in NCERT Solutions for Chapter 12 of Class 7 Maths?

The topics covered in NCERT solutions are:

  • Introduction about the expression formation.

  • Terms like monomials, binomials, trinomials, etc.

  • How to find value in an expression

Visit the Vedantu official website for additional details. There are solved solutions there that will assist you to pass your tests. These answers will cover all of the major themes that have been compiled from the exam's perspective. The solutions are free of cost and also available on Vedantu Mobile app.

2. Are NCERT Solutions for  Chapter 12 of Class 7 Maths important from the exam point of view? 

Yes, NCERT Solutions of Chapter 12 of Class 7 Maths is important from an exam point of view as these questions will help you in saving your time and you will get accurate answers to all the questions. You can prepare from those questions a day before your exam and cross-check all the solutions so that you do not write wrong answers in your exams. The solutions are accurate and you can rely on them.

3. How do you learn Algebraic Expressions in Chapter 12 of Class 7 Maths?

You can learn algebraic expressions by solving the questions from the NCERT book. Practice is the key to mastering algebraic expressions. From Vedantu, you can download the question paper and practice the questions to know the pattern. There are solved questions available on the website. The questions which you will practice from the previous year's question paper will be helpful for you to solve questions that are based on similar patterns.

4. Where can I download the latest Revision Notes of Chapter 12 of Class 7 Maths?

You can download the latest Class 7 Algebraic Expression Chapter 12 notes from the official website of Vedantu. It has all the notes of the chapters included in Class 7. They are well-curated and detailed. You will find important questions in those notes and it will be easier for you to understand the basics from those notes. You can use those notes a day before your exam to revise and do well in a hassle-free manner. 

5. In what format can I download the Revision Notes of Chapter 12 of Class 7 Maths?

You can download all the Revision Notes of Chapter 12 of Class 7 Maths from Vedantu in PDF format and those PDFs will be saved on your computer or laptop so that you can use them in the future when your exams are near. Vedantu also has NCERT questions, so you can easily get the solutions to the questions you find difficult in NCERT. Go through all the questions and then solve them by yourself to see how much you have learned.