# NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions (EX 12.1) Exercise 12.1

The importance of Mathematics in the daily lives of humans cannot be overstated. There are numerous lucrative career opportunities and research opportunities associated with this academic field. There is no doubt that Mathematics is one of the most organised and vital scientific disciplines. In particular, India has a long history of talented and ingenious mathematicians who have inspired the world with their creativity and ingenuity. During the early stages of schooling, Mathematics is taught as a prominent scientific discipline, and students are encouraged to continually strive to improve their understanding of the subject. In terms of academic importance, Mathematics is an obvious choice. In order to prepare for the term-end or half-yearly exams of any Class, students should refer to the academic materials published by the National Council for Educational Research and Teaching (NCERT), which is a highly acclaimed organisation for publishing scholarly content for learners. NCERT books provide students with a fundamental understanding of each concept and subject matter.For preparation for numerous exams, teachers frequently recommend reading NCERT books. In particular, schools that are affiliated with the Central Board of Secondary Education (CBSE) use NCERT books as part of their curriculum. The textbooks from NCERT are used in these schools to teach students. Educators and teachers can use the educational materials provided by NCERT, a government organisation, for their studies and for imparting lessons. Students should therefore concentrate on learning from and referring to NCERT textbooks as they get ready for any exams or disciplines. The fact that NCERT provides educational resources and textbooks for all classes must be considered by students. For answers to the exercises and problems provided in the NCERT textbooks of any topic or class, students can visit the Extramarks website. A good example of the scholarly materials available are the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 offers precise solutions to all of the questions of the Maths Class 7 Chapter 12 Exercise 12.1.

Students should think about practising from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. Students should only study from NCERT books because they present a concept’s entirety and details in an easy-to-understand way. Students can grasp and determine how to apply concepts by using the questions in NCERT textbooks. However, if the students need NCERT solutions, they can find them on the Extramarks website and mobile application. Students can view the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 to see the methodology for solving algebraic expressions.

The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 pertain to Chapter 12 which is just one chapter from the NCERT textbook prescribed for Mathematics in Class 7. The NCERT textbook for Class 7 has various chapters and topics in it that are important for students to understand. Some of the chapters in the Class 7 NCERT textbook are Integers, Fractions and Decimal, Data Handling, Simple Equations, Lines and Angles, The Triangle and its Properties, Congruence of Triangles, Comparing Quantities, Rational Numbers, Practical Geometry, Perimeter and Area, Algebraic Expressions, Exponents and Powers, Symmetry, and Visualising Solid Shapes. Students should carefully go through each of these chapters one at a time. It is crucial for students to study these subjects in order so that they can comprehend the concepts that follow, and then answering these questions will enable them to deal with complex problems involving the application of several concepts. Students must answer every question from the NCERT textbook for practising and students can get help from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will be of help to students when they choose to solve exercises given in the NCERT textbook.

It is crucial that students understand the value of studying Mathematics in Class 7 since it will allow them to lay the foundation for their class coursework in further classes like Class 8. The topics in the chapters will help them study similar but advanced concepts in the future. It will be easier for them to understand the course for further classes as a result. Following the completion of the NCERT textbook of Mathematics, students will be able to deal with more difficult problems. They will be better able to answer questions in advanced-level textbooks with this information. Students would benefit from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 as they learn and comprehend the ideas in this chapter. Students who want to study mathematics and prepare for more advanced studies should consider using NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

Class 7 students are expected to examine certain novel concepts. The introduction to these chapters is written as simply as possible to assist students to comprehend the value of studying these ideas in-depth and clarifying any notions that they might find challenging. The concepts in Class 8 and further classes will be simpler for the students to understand because they are comparable to those in Class 7 even though they are entirely new. Students will benefit from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. Students can get their questions about this chapter answered by using the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

Students must keep in mind that learning every chapter of NCERT Class 7 is crucial for their future academic success. Their success in exams taken for admission to prestigious universities across India would be aided by the NCERT solutions for Class 7. Students must therefore constantly remind themselves that studying is crucial for their academic future and that they must put in a lot of effort to get into the college and programme of their choice. Students can greatly enhance their performance with regard to this chapter by using the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. Students could assess their abilities with the use of the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

Apart from learning about the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 in Class 7 Maths Chapter 12 Solution, among the new topics students study in Class 7 NCERT textbook include Integers, Fractions and Decimals, Data Handling, Simple Equations, Lines and Angles, Triangle Properties, Congruence of Triangles, Comparison of Quantities, Rational Numbers, Practical Geometry, Area and Perimeter, Algebraic Expressions, Exponents and Powers, Symmetry, and Visualising Solid Shapes. All these chapters will assist students in achieving their academic objectives and in performing well on tests. Students should make it a priority to understand these chapters because doing so will help them lay the groundwork for the exercises and other chapters that will come next. One element left out could cause students to struggle in a time-constrained environment, such as an exam, making it impossible for them to solve some problems or take too long to respond. This could have a detrimental impact on their performance. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will help students to improve their performance in exams. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will enable students to solve certain questions.

For some students, Mathematics is a very tough subject. They might have trouble with Mathematics, and they might face hindrances while solving problems. Mathematics has always piqued the curiosity of students. Algebraic Expressions is a new topic included among many others that are important, likeExponents, Decimals, Data Handling and Congruency are all included in the curriculum of Mathematics for Class 6, Class 7 and Class 8. While some students struggle with it, others relish the difficulties. Students may find it more difficult to finish the exercises provided in the NCERT textbook because they may find it difficult to comprehend the themes on their first try. Even though learning something new is never simple, after they have mastered it, they will feel incredibly satisfied. Understanding and studying the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 is important, and it takes a lot of practice. Students can better understand all of the chapter’s topics with the aid of the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 give an overview of the chapter. This chapter contains a lot of information about various important topics about Algebraic Expressions like an Introduction To Algebraic Expressions, How are Algebraic Expressions Formed, Terms of an Expression, Coefficients, Like and Unlike Terms, Monomials, Binomials, Trinomials, Polynomials, Addition and Subtraction of Algebraic Expressions, Adding and Subtracting Like Terms, Adding and Subtracting General Algebraic Expressions, Finding the Value of an Expression, Using Algebraic Expressions-Formulas and Rules, Perimeter Formulas, Area Formulas, Rules of Number Patterns, Some More Number Patterns and Patterns In Geometry. These topics will help students understand Algebraic Expressions better. This will help them to understand how Statistics is applied in various fields and how it is used by various people. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will help students understand these topics. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 are for students to enhance their knowledge of this chapter.

The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 show that this chapter aids students in understanding the use of algebraic expressions. Students can understand algebraic expressions and how they are formed using variables and constants as well as what operations can be performed on algebraic expressions including addition, subtraction, multiplication and division.It is also possible to learn what expressions are made of, what a term is, and how terms are combined to form an expression.The meaning of monomial, binomial, polynomial and trinomial are also given in this chapter as the meaning of coefficient as a numerical factor in the term. The difference between like and unlike terms is also explained. Students can also learn to find value in an algebraic expression and how operations like addition and subtraction are performed in like and unlike terms. Students studying from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will gain a better understanding of this. Students are encouraged to use the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 as a dependable learning tool.

Students can improve their understanding of the chapter and their ability to answer problems of this nature by using the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will undoubtedly help students in every way and with any questions, they may have. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will assist students in developing their understanding of the chapter, achieving their academic objectives, and improving their test results.

**NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions (EX 12.1) Exercise 12.1 **

A summary of this chapter’s solutions is provided in the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. An introduction to algebraic expressions, how are algebraic expressions formed, terms of an expression, coefficients, like and unlike terms, monomials, binomials, trinomials and polynomials are the foundations of NCERT Class 7 Maths Chapter 12 Exercise 12.1 which have solutions to 7 questions to help students practice. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will help them solve these questions comprehensively. Students will learn how algebraic expressions are formed through this practice. Students can learn them from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. The addition and subtraction of algebraic expressions, adding and subtracting like terms, and adding and subtracting general algebraic expressions are the foundation of Exercise 12.2. There are 6 questions in Exercise 12.2. Students will gain a deeper understanding of the chapter as a consequence of using the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. Students can improve their understanding of these ideas with the help of the NCERT Solutions For Class 7 Maths Chapter 12 Exercise 12.1. Exercise 12.3 involves finding the value of an expression. There are 10 questions in Exercise 12.3. Exercise 12.4 has 2 questions that help students develop an understanding of the chapter Algebraic expressions, specifically the topics using algebraic expressions-formulas and rules, perimeter formulas, area formulas, rules of number patterns, and some more number patterns and patterns in geometry. These inquiries will assist students in learning how to analyse particular types of questions. Students will better understand these ideas with the aid of the solutions to Class 7 Maths Ch 12 Ex 12.1.

Students can learn how to answer the questions in the NCERT textbook by using the examples provided in the NCERT textbook. Understanding the ideas in Chapter 12 of Class 7 is made easier with the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. For students who struggle to comprehend Class 7 Maths Chapter 12 Exercise 12.1, they will need assistance from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 to complete this challenging assignment. The information provided in the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will be helpful to students as they advance to harder problems and during exams. They will be in a better position to comprehend the question and choose the formula to use when responding to it. They can complete the exam more quickly as a result. They will be able to answer the question correctly and avoid any confusion if they practise with the aid of NCERT solutions. It will be straightforward for them to obtain the proper responses if they choose the proper strategy. Students will gain a general grasp of various types of questions from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1, which will help them perform well in assessments. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 should be used by students to become familiar with the chapter, the manner of answering, and the foundational understanding of the subjects. They will get excellent grades as a result.

The concepts of introduction to algebraic expressions, how algebraic expressions are formed, terms of an expression, coefficients, like and unlike terms, monomials, binomials, trinomials and polynomials are all embedded in the exercises to teach students how to solve problems. Students can utilise the examples included in the NCERT book for Mathematics as well as the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 to see how to respond to specific questions. For examples of how to answer various questions, students can refer to the NCERT book for Mathematics as well as the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. As opposed to competitive entrance examinations like the JEE, which just ask students to identify the correct answers or write them down, annual exams require students to finish the entire question step-by-step. Students would benefit from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 while they study for their exams.

The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 are written in a clear, easy style with the intention of being understandable to every student and helping them clear up their doubts. The notions, concepts and their applications enclosed in the chapter, along with a multitude of formulas, will be better understood by students. When students are familiar with the applications and guiding principles of a concept or formula, it will be easier for them to reproduce the knowledge in the exams. Students will discover that the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 aid in both their academic and personal development.

Students can better grasp Chapter 12 by using the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. The four exercises in this chapter are set out so that students can thoroughly learn and practise each of the chapter’s topics. There is also a bonus activity. The exercises were set up such that each subtopic received an equal amount of practise for the students, taking its significance into account.Students can do this to establish a strong foundation for algebraic mathematical topics. Students may find it challenging to comprehend Statistics, but with the help of the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1, they can do it more easily.

To effectively manage their time during an exam, students must be able to quickly solve a question. Time management during the exam is crucial for students since it will enable them to review their answer sheet at the conclusion and check for any implicit errors. Answering the questions requires thoroughly reviewing the materials. This gives them time to remedy their errors while also assisting them in understanding how they should have answered the questions and where they must have gone wrong. Students can identify their weak areas during practise and rectify them with the aid of the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. They can also become aware of several negligent errors they might make and prevent them during the exam. During the tests, the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 are of great assistance. These will assist the students in time management during the exam, completion of their coursework, and preparation for the test.

**Access NCERT Solutions for Maths Class 7 Chapter 12 – Algebraic Expressions**

Students can access the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 on the Extramarks website and mobile application. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 are available to students at any time while they are studying. Students must realise the value of practising mathematics. It is possible that students’ responses contain negligent errors. Even when pupils follow the right approach to a solution, such errors might lead to incorrect answers to the question. Students can avoid making these errors if they practise enough. They must comprehend that having errors is a normal part of learning, but that in order to improve, they must recognise and fix them. Students can get assistance with this from the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

Practice is necessary to avoid errors since it enables pupils to recognise their weak areas and be aware of them during the exam. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 contain the correct response. Students should keep in mind that the purpose of the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 is to allow students to put into practise what they have learned in class and during their study of these ideas.NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Exercise 12.1

The Extramarks e-learning platform provides a plethora of online learning resources to facilitate a smooth learning experience for students. Owing to Extramarks, students can learn in a flexible environment. Students have the option of receiving help offline or online. As is the case with the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1, students can obtain academic support for any subject they want in any language they wish to learn , depending on their needs. Students can find out more about Extramarks on their website and mobile application. They will also find the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 on the Extramarks portal.

Extramarks also provides students with additional academic support materials.Extramarks has launched the Career Assessment Programme (CAP) and the Multiple Intelligence Test (MIT). Students can take the Extramarks CAP psychometric exam to receive an in-depth assessment of their skills and abilities that will guide them in selecting the appropriate career path. To better understand their interests and proclivities, students take the MIT test. The purpose is to educate students about the numerous professions and employment opportunities available to them. They might use this to guide their decision regarding a potential career. These two initiatives were started to assist students in making wiser choices regarding their academic future. They will have the information needed to select a career path and pursue the objectives they have set for themselves. They will gain the knowledge necessary to identify their areas of strength and weakness, cultivate a love of learning, and, most importantly, gain the confidence and drive required to put in the effort and achieve success. As a result, their morale will improve. By establishing realistic goals, students can recognise their potential and work towards it. Students will be able to solve their academic challenges because of this.

The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1, NCERT solutions, solved board papers, sample papers, mock tests, and reference materials for other entrance exams like JEE, NEET, CUET, SAT, PSAT, and TOEFL are among the study materials that Extramarks offers. Any inquiries that students may have regarding any board exam or entrance exam can be directed to Extramarks. Extramarks also provides doubt-clearing sessions to help students with questions about anything related to their study. As a result, students can receive help for any exam they are now studying for or intend to start studying for. Extramarks can help students achieve their academic goals and the grades required for their chosen schools and programs.One of the many resources Extramarks offers are the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

Extramarks additionally provides practise tests for the NEET and JEE exams. This enables pupils to assess their strengths and weaknesses. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will also help students with finding how to improve academically. Receiving a report on their performance and assessment could be advantageous for students. With the aid of that report, students can identify their mistakes and weak points and take steps to strengthen them in order to perform better in the actual exam. Attending a practise test might provide them with an understanding of the structure of the examination, how to manage their time while taking it, and which areas might be difficult for them to understand and solve. Students need to understand and have control over each of these aspects in order to perform better. They can obtain assistance with this by using Extramarks’ NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. Students will have an understanding of the significance of answering questions provided in the NCERT textbooks with the aid of the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

There are many benefits to using solutions provided by Extramarks such as NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1, some of which are stated below:

- Extramarks prepares scholarly content in collaboration with experts to provide students with Extramarks’ study materials. As a result, before being published online, these responses are checked for any evident lacunae.
- Extramarks’ NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will provide an overview of the exercise and its subjects along with providing students with the answers directly.
- Utilising the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 from Extramarks, students may learn about permutations and appreciate how they are used.
- Many students will find it helpful that they can get Extramarks’ NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 through both the website and the Learning App.
- The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 from Extramarks provide an exact technique of solution in addition to exact answers and an explanation of the methods used in the question as well as their significance in the board examination with regard to the marks distribution.

Students can use Extramarks for additional benefits because it provides study notes for all of the chapters and activities. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will be useful for students who are just starting to solve the chapter. These solutions will help to clarify any unanswered questions. Students who want to improve their academic performance could utilise the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 as a study tool. Students should use the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 in order to enhance their time management skills and improve their chances of passing both entrance exams and board exams.

Extramarks provides students with a plethora of tools on their Learning App and website, such as the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. Students must use the offered materials, including the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1, in order to achieve their academic goals. Whether they are preparing for board exams or entrance tests like the JEE or CUET, these materials will help them. When they get the majority of their study resources from one place, students gain advantages. As a result, their work and study notes stay organised. The NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will help students stay on track with their academics. Their planning is coordinated, and their performance analysis is finished on time. These are beneficial for students to prepare thoroughly, and Extramarks provides a platform for students to interact with experts of Extramarks and their study material to obtain better scores, such as the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. As a result, students will have a higher chance of passing any exam they are preparing for.

There are many benefits to using Extramarks for the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. The mentors of Extramarks contribute to the preparation of study materials for students. As a result, before being published on the website, these responses are checked for inconsistencies. Extramarks’ NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 will provide students with a summary of the activity and its contents in addition to providing them with the exact solutions. Students can use the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 provided by Extramarks to study Statistics in order to prepare for their exams. Many students find it convenient because they may obtain Extramarks’ NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1 via the website or the mobile application of Extramarks.

NCERT solutions for many chapters are available on Extramarks, including the NCERT Solutions for Class 7 Maths Chapter 12 Exercise 12.1.The NCERT Solutions for Class 7 Maths, Chapter 12, Exercise 12.1 is just one example of the type of study material provided by Extramarks.

In the form of NCERT Solutions Class 6, Extramarks provides study materials for Class 6 in Social Science, Science, English, Hindi, and Mathematics. As a result, any questions students may have will be answered. It can be accessed through the Extramarks educational website and Learning App. It is possible for students to access these NCERT solutions in both English and Hindi.

With NCERT Solutions Class 7, Extramarks provides study materials for Class 7 in subjects such as Social Science, Science, English, Hindi, and Mathematics. The purpose of these solutions is to clarify any questions that students may have about the chapter or subject. Students have access to these solutions via their website and app. It is provided that these NCERT solutions are available to students in both English and Hindi. One such example of this is the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

With NCERT solutions Class 8, Extramarks provides study materials for Class 8 in Social Science, Science, English, Hindi, and Mathematics. Students will be able to clarify any questions they may have regarding the chapter or subject. Students can access the service through their website and mobile application. Students have access to these NCERT solutions in both English and Hindi.

Study materials for Class 9 are available from Extramarks in academic disciplines such as Social Science, Science, English, Hindi, and Mathematics. By perusing these solutions, students will be able to clarify any questions they might have about the chapter or subject. The website and mobile application are accessible to students. The NCERT solutions are available both in English and Hindi.

Through the NCERT Solutions Class 10 study material, Extramarks offers study materials in areas such as Social Science, Science, English, Hindi, and Mathematics for Class 10. If students have questions about the chapter or subject, these solutions will clarify them. They offer a website and app that students can access. It is possible to access these NCERT solutions in both English and Hindi.

Extramarks provides study materials for Class 11 in subjects such as Mathematics, Physics, Chemistry, Biology, Business Studies, Economics, Accounting, Hindi, and English, through NCERT solutions Class 11. In this way, students will be able to clarify any questions they may have about the chapter or subject. Through their website and mobile application, students have access to this resource. It is important to note that these NCERT solutions are available to students in both English and Hindi.

Extramarks offers NCERT solutions for Class 12 in subjects including Mathematics, Physics, Chemistry, Biology, Business Studies, Economics, Accountancy, Hindi, and English. Students will then be able to clarify any questions they may have regarding the chapter or subject. Students can access it through their website and mobile application. The NCERT solutions are available to students in both English and Hindi.

NCERT solutions for all grade levels and subjects are available in Hindi and English on the Extramarks Learning App and website. Students of all academic levels will benefit from this, as it will clarify any issues or ambiguities they may have. They are capable of answering questions on any subject, including Hindi, English, Science, Social Science, and Mathematics. One example of the top-notch study materials that Extramarks offers are the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1. Students should therefore practice using the NCERT Solutions Class 7 Maths Chapter 12 Exercise 12.1.

**Q.1 **

$\begin{array}{l}\mathrm{Get}\mathrm{the}\mathrm{algebraic}\mathrm{expressions}\mathrm{in}\mathrm{the}\mathrm{following}\mathrm{cases}\mathrm{using}\\ \mathrm{variables},\mathrm{constants}\mathrm{and}\mathrm{arithmetic}\mathrm{operations}.\\ \left(\mathrm{i}\right)\mathrm{Subtraction}\mathrm{of}\mathrm{z}\mathrm{from}\mathrm{y}.\\ \left(\mathrm{ii}\right)\mathrm{One}\u2013\mathrm{half}\mathrm{of}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{numbers}\mathrm{x}\mathrm{and}\mathrm{y}.\\ \left(\mathrm{iii}\right)\mathrm{The}\mathrm{number}\mathrm{z}\mathrm{multiplied}\mathrm{by}\mathrm{itself}.\\ \left(\mathrm{iv}\right)\mathrm{One}\u2013\mathrm{fourth}\mathrm{of}\mathrm{the}\mathrm{product}\mathrm{of}\mathrm{numbers}\mathrm{p}\mathrm{and}\mathrm{q}.\\ \left(\mathrm{v}\right)\mathrm{Numbers\; x\; and\; y\; both}\mathrm{squared}\mathrm{and}\mathrm{added}.\\ \left(\mathrm{vi}\right)\mathrm{Number}5\mathrm{added}\mathrm{to}\mathrm{three}\mathrm{times}\mathrm{the}\mathrm{product}\mathrm{of}\\ \mathrm{numbers}\mathrm{m}\mathrm{and}\mathrm{n}.\\ \left(\mathrm{vii}\right)\mathrm{Product}\mathrm{of}\mathrm{numbers}\mathrm{y}\mathrm{and}\mathrm{z}\mathrm{subtracted}\mathrm{from}10.\\ \left(\mathrm{viii}\right)\mathrm{Sum}\mathrm{of}\mathrm{numbers}\mathrm{a}\mathrm{and}\mathrm{b}\mathrm{subtracted}\mathrm{from}\mathrm{their}\\ \mathrm{product}.\end{array}$

**Ans**

\begin{array}{l}\text{(i) y}-\text{z}\\ \text{(ii)}\frac{1}{2}\left(x+y\right)\end{array}

\begin{array}{l}{\text{(iii) z}}^{2}\\ (\text{iv)}\frac{1}{4}\left(pq\right)\\ {\text{(v) x}}^{2}+{y}^{2}\\ \text{(vi) 5+3}\left(mn\right)\\ \text{(vii) 10}-\text{yz}\\ \text{(viii) ab}-\left(a+b\right)\end{array}

**Q.2 **

$\begin{array}{l}\left(\mathrm{i}\right)\mathrm{Identify}\mathrm{the}\mathrm{terms}\mathrm{and}\mathrm{their}\mathrm{factors}\mathrm{in}\mathrm{the}\mathrm{following}\\ \mathrm{expressions}.\\ \mathrm{Show}\mathrm{the}\mathrm{terms}\mathrm{and}\mathrm{factors}\mathrm{by}\mathrm{tree}\mathrm{diagrams}.\\ \left(\mathrm{a}\right)\mathrm{x}\u20133\left(\mathrm{b}\right)1+\mathrm{x}+{\mathrm{x}}^{2}\left(\mathrm{c}\right)\mathrm{y}\u2013{\mathrm{y}}^{3}\\ \left(\mathrm{d}\right)5{\mathrm{xy}}^{2}+7{\mathrm{x}}^{2}\mathrm{y}\left(\mathrm{e}\right)\u2013\mathrm{ab}+2{\mathrm{b}}^{2}\u20133{\mathrm{a}}^{2}\\ \left(\mathrm{ii}\right)\mathrm{Identify}\mathrm{terms}\mathrm{and}\mathrm{factors}\mathrm{in}\mathrm{the}\mathrm{expressions}\mathrm{given}\\ \mathrm{below}:\\ \left(\mathrm{a}\right)\u20134\mathrm{x}+5\left(\mathrm{b}\right)\u20134\mathrm{x}+5\mathrm{y}\left(\mathrm{c}\right)5\mathrm{y}+3{\mathrm{y}}^{2}\\ \left(\mathrm{d}\right)\mathrm{xy}+2{\mathrm{x}}^{2}{\mathrm{y}}^{2}\left(\mathrm{e}\right)\mathrm{pq}+\mathrm{q}\left(\mathrm{f}\right)1.2\mathrm{ab}\u20132.4\mathrm{b}+3.6\mathrm{a}\\ \left(\mathrm{g}\right)\frac{3}{4}\mathrm{x}+\frac{1}{4}\left(\mathrm{h}\right)0.1{\mathrm{p}}^{2}+0.2{\mathrm{q}}^{2}\end{array}$

**Ans**

(i)

a.

b.

c.

d.

e.

\begin{array}{l}\left(\text{ii}\right)\\ \begin{array}{cccc}\text{Row}& \text{Expression}& \text{Terms}& \text{Factors}\\ \left(\text{a}\right)& -4x+5& \begin{array}{l}-4x\\ \text{5}\end{array}& \begin{array}{l}-4,x\\ 5\end{array}\\ \left(\text{b}\right)& -4x+5y& \begin{array}{l}-4x\\ 5y\end{array}& \begin{array}{l}-4,x\\ 5,y\end{array}\\ \left(\text{c}\right)& 5y+3{y}^{2}& \begin{array}{l}5y\\ 3{y}^{2}\end{array}& \begin{array}{l}5,y\\ 3,y,y\end{array}\\ \left(\text{d}\right)& xy+2{x}^{2}{y}^{2}& \begin{array}{l}xy\\ 2{x}^{2}{y}^{2}\end{array}& \begin{array}{l}x,y\\ 2,x,x,y,y\end{array}\\ \left(\text{e}\right)& pq+q& \begin{array}{l}pq\\ q\end{array}& \begin{array}{l}p,q\\ q\end{array}\\ \left(\text{f}\right)& 1.2ab-2.4b+3.6a& \begin{array}{l}1.2ab\\ -2.4b\\ 3.6a\end{array}& \begin{array}{l}1.2,a,b\\ -2.4,b\\ 3.6,a\end{array}\\ \left(\text{g}\right)& \frac{3}{4}x+\frac{1}{4}& \begin{array}{l}\frac{3}{4}x\\ \frac{1}{4}\end{array}& \begin{array}{l}\frac{3}{4},x\\ \frac{1}{4}\end{array}\\ \left(\text{h}\right)& 0.1{p}^{2}+0.2{q}^{2}& \begin{array}{l}0.1{p}^{2}\\ 0.2{q}^{2}\end{array}& \begin{array}{l}0.1,p,p\\ 0.2,q,q\end{array}\end{array}\end{array}

**Q.3 **

$\begin{array}{l}\mathrm{Identify}\mathrm{the}\mathrm{numerical}\mathrm{coefficients}\mathrm{of}\mathrm{terms}\\ (\mathrm{other}\mathrm{than}\mathrm{constants})\mathrm{in}\mathrm{the}\mathrm{following}\mathrm{expressions}:\\ \left(\mathrm{i}\right)5\u20133{\mathrm{t}}^{2}\left(\mathrm{ii}\right)1+\mathrm{t}+{\mathrm{t}}^{2}+{\mathrm{t}}^{3}\left(\mathrm{iii}\right)\mathrm{x}+2\mathrm{xy}+3\mathrm{y}\\ \left(\mathrm{iv}\right)100\mathrm{m}+1000\mathrm{n}\left(\mathrm{v}\right)\u2013{\mathrm{p}}^{2}{\mathrm{q}}^{2}+7\mathrm{pq}\left(\mathrm{vi}\right)1.2\mathrm{a}+0.8\mathrm{b}\\ \left(\mathrm{vii}\right)3.14{\mathrm{r}}^{2}\left(\mathrm{viii}\right)2(\mathrm{l}+\mathrm{b})\left(\mathrm{ix}\right)0.1\mathrm{y}+0.01{\mathrm{y}}^{2}\end{array}$

**Ans**

\begin{array}{cccc}\text{Row}& \text{Expression}& \text{Terms}& \text{Coefficients}\\ \left(\text{i}\right)& 5-3{\text{t}}^{2}& -3{t}^{2}& -3\\ \left(\text{ii}\right)& 1+t+{t}^{2}+{t}^{3}& \begin{array}{l}t\\ {t}^{2}\\ {t}^{3}\end{array}& \begin{array}{l}1\\ 1\\ 1\end{array}\\ \left(\text{iii}\right)& x+2xy+3y& \begin{array}{l}x\\ 2xy\\ 3y\end{array}& \begin{array}{l}1\\ 2\\ 3\end{array}\\ \left(\text{iv}\right)& 100m+100n& \begin{array}{l}100m\\ 100n\end{array}& \begin{array}{l}100\\ 100\end{array}\\ \left(\text{v}\right)& -{p}^{2}{q}^{2}+7pq& \begin{array}{l}-{p}^{2}{q}^{2}\\ 7pq\end{array}& \begin{array}{l}-1\\ 7\end{array}\\ \left(\text{vi}\right)& 1.2a+0.8b& \begin{array}{l}1.2a\\ 0.8b\end{array}& \begin{array}{l}1.2\\ 0.8\end{array}\\ \left(\text{vii}\right)& 3.14{r}^{2}& 3.14{r}^{2}& 3.14\\ \left(\text{viii}\right)& 2\left(l+b\right)& \begin{array}{l}2l\\ 2b\end{array}& \begin{array}{l}2\\ 2\end{array}\\ \left(\text{ix}\right)& 0.1y+0.01{y}^{2}& \begin{array}{l}0.1y\\ 0.01{y}^{2}\end{array}& \begin{array}{l}0.1\\ 0.01\end{array}\end{array}

**Q.4 **

$\begin{array}{l}\left(\mathrm{a}\right)\mathrm{Identify}\mathrm{terms}\mathrm{which}\mathrm{contain}\mathrm{x}\mathrm{and}\mathrm{give}\mathrm{the}\\ \mathrm{coefficient}\mathrm{of}\mathrm{x}.\\ \left(\mathrm{i}\right){\mathrm{y}}^{2}\mathrm{x}+\mathrm{y}\left(\mathrm{ii}\right)13{\mathrm{y}}^{2}\u20138\mathrm{yx}\left(\mathrm{iii}\right)\mathrm{x}+\mathrm{y}+2\\ \left(\mathrm{iv}\right)5+\mathrm{z}+\mathrm{zx}\left(\mathrm{v}\right)1+\mathrm{x}+\mathrm{xy}\left(\mathrm{vi}\right)12{\mathrm{xy}}^{2}+25\\ \left(\mathrm{vii}\right)7\mathrm{x}+{\mathrm{xy}}^{2}\\ \left(\mathrm{b}\right)\mathrm{Identify}\mathrm{terms}\mathrm{which}\mathrm{contain}{\mathrm{y}}^{2}\mathrm{and}\mathrm{give}\mathrm{the}\\ \mathrm{coefficient}\mathrm{of}{\mathrm{y}}^{2}.\\ \left(\mathrm{i}\right)8\u2013{\mathrm{xy}}^{2}\left(\mathrm{ii}\right)5{\mathrm{y}}^{2}+7\mathrm{x}\left(\mathrm{iii}\right)2{\mathrm{x}}^{2}\mathrm{y}\u201315{\mathrm{xy}}^{2}+7{\mathrm{y}}^{2}\end{array}$

**Ans**

\begin{array}{l}\left(\text{a}\right)\\ \begin{array}{cccc}\text{Row}& \text{Expression}& \text{Terms with x}& \text{Cofficient of x}\\ \left(\text{i}\right)& {y}^{2}x+y& {y}^{2}x& {y}^{2}\\ \left(\text{ii}\right)& 13{y}^{2}-8yx& -8y& -8\\ \left(\text{iii}\right)& x+y+2& x& 1\\ \left(\text{iv}\right)& 5+z+zx& zx& z\\ \left(\text{v}\right)& 1+x+xy& \begin{array}{l}x\\ xy\end{array}& \begin{array}{l}1\\ y\end{array}\\ \left(\text{vi}\right)& 12x{y}^{2}+25& 12x{y}^{2}& 12{y}^{2}\\ \left(\text{vii}\right)& 7+x{y}^{2}& x{y}^{2}& {y}^{2}\end{array}\end{array}

\begin{array}{l}\left(\text{b}\right)\\ \begin{array}{cccc}\text{Row}& \text{Expression}& {\text{Terms with y}}^{2}& {\text{Cofficient of y}}^{2}\\ \left(\text{i}\right)& 8-x{y}^{2}& -x{y}^{2}& -x\\ \left(\text{ii}\right)& 5{y}^{2}+7x& 5{y}^{2}& 5\\ \left(\text{iii}\right)& 2{x}^{2}y+7{y}^{2}-15x{y}^{2}& \begin{array}{l}7{y}^{2}\\ -15x{y}^{2}\end{array}& \begin{array}{l}7\\ -15x\end{array}\end{array}\end{array}

**Q.5 **

$\begin{array}{l}\mathrm{Classify}\mathrm{into}\mathrm{monomials},\mathrm{binomials}\mathrm{and}\mathrm{trinomials}.\\ \left(\mathrm{i}\right)4\mathrm{y}\u20137\mathrm{z}\left(\mathrm{ii}\right){\mathrm{y}}^{2}\left(\mathrm{iii}\right)\mathrm{x}+\mathrm{y}\u2013\mathrm{xy}\left(\mathrm{iv}\right)100\\ \left(\mathrm{v}\right)\mathrm{ab}\u2013\mathrm{a}\u2013\mathrm{b}\left(\mathrm{vi}\right)5\u20133\mathrm{t}\left(\mathrm{vii}\right)4{\mathrm{p}}^{2}\mathrm{q}\u20134{\mathrm{pq}}^{2}\left(\mathrm{viii}\right)7\mathrm{mn}\\ \left(\mathrm{ix}\right){\mathrm{z}}^{2}\u20133\mathrm{z}+8\left(\mathrm{x}\right){\mathrm{a}}^{2}+{\mathrm{b}}^{2}\left(\mathrm{xi}\right){\mathrm{z}}^{2}+\mathrm{z}\left(\mathrm{xii}\right)1+\mathrm{x}+{\mathrm{x}}^{2}\end{array}$

**Ans**

\begin{array}{l}\text{We know that the monomials, binomials and trinomials}\\ \text{have 1, 2, and 3 respectively unlike terms in it}\text{.}\\ \text{(i) 4y}-\text{7z}\\ \text{It is binomial}\text{.}\\ \text{(ii)}{y}^{2}\\ \text{It is monomial}\text{.}\\ \text{(iii) x}+\text{y}-\text{xy}\\ \text{It is trinomial}\text{.}\end{array}

\begin{array}{l}\text{(iv)}100\\ \text{It is monomial}\text{.}\\ \text{(v) ab}-\text{a}-\text{b}\\ \text{It is trinomial}\text{.}\\ \text{(vi) 5}-\text{3t}\\ \text{It is binomial}\text{.}\\ {\text{(vii) 4p}}^{2}q-{\text{4pq}}^{2}\\ \text{It is binomial}\text{.}\\ \text{(viii)}7mn\\ \text{It is monomial}\text{.}\\ {\text{(ix) z}}^{2}-\text{3z+8}\\ \text{It is trinomial}\text{.}\\ {\text{(x) a}}^{2}-{\text{b}}^{2}\\ \text{It is binomial}\text{.}\\ {\text{(xi) z}}^{2}+\text{z}\\ \text{It is binomial}\text{.}\\ \text{(xii) 1}+x+{\text{x}}^{2}\\ \text{It is trinomial}\text{.}\end{array}

**Q.6 **

$\begin{array}{l}\mathrm{State}\mathrm{whether}\mathrm{a}\mathrm{given}\mathrm{pair}\mathrm{of}\mathrm{terms}\mathrm{is}\mathrm{of}\mathrm{like}\mathrm{or}\mathrm{unlike}\\ \mathrm{terms}.\\ \left(\mathrm{i}\right)1,100\left(\mathrm{ii}\right)\u20137\mathrm{x},52\mathrm{x}\left(\mathrm{iii}\right)\u201329\mathrm{x},\u201329\mathrm{y}\\ \left(\mathrm{iv}\right)14\mathrm{xy},42\mathrm{yx}\left(\mathrm{v}\right)4{\mathrm{m}}^{2}\mathrm{p},4{\mathrm{mp}}^{2}\left(\mathrm{vi}\right)12\mathrm{xz},12{\mathrm{x}}^{2}\mathrm{z}\end{array}$

**Ans**

$\begin{array}{l}\mathrm{The}\mathrm{terms}\mathrm{which}\mathrm{have}\mathrm{the}\mathrm{same}\mathrm{algebraic}\mathrm{factors}\mathrm{are}\mathrm{called}\\ \mathrm{like}\mathrm{terms}\mathrm{and}\mathrm{when}\mathrm{the}\mathrm{terms}\mathrm{have}\mathrm{different}\mathrm{algebraic\; f}\mathrm{actors},\\ \mathrm{they}\mathrm{are}\mathrm{called}\mathrm{unlike}\mathrm{terms}\\ \left(\mathrm{i}\right)1,100\\ \text{Like}\\ \left(\mathrm{ii}\right)\u20137\mathrm{x},52\mathrm{x}\\ \text{Like}\\ \left(\mathrm{iii}\right)\u201329\mathrm{x},\u201329\mathrm{y}\\ \text{UnLike}\\ \left(\mathrm{iv}\right)14\mathrm{xy},42\mathrm{yx}\\ \text{Like}\\ \left(\mathrm{v}\right)4{\mathrm{m}}^{2}\mathrm{p},4{\mathrm{mp}}^{2}\\ \text{UnLike}\\ \left(\mathrm{vi}\right)12\mathrm{xz},12{\mathrm{x}}^{2}{\mathrm{z}}^{2}\\ \mathrm{Un}\text{Like}\end{array}$

**Q.7 **

$\begin{array}{l}\mathrm{Identify}\mathrm{like}\mathrm{terms}\mathrm{in}\mathrm{the}\mathrm{following}:\\ \left(\mathrm{a}\right)\u2013{\mathrm{xy}}^{2},\u20134{\mathrm{yx}}^{2},8{\mathrm{x}}^{2},2{\mathrm{xy}}^{2},7\mathrm{y},\u201311{\mathrm{x}}^{2},\u2013100\mathrm{x},\u201311\mathrm{yx},\\ 20{\mathrm{x}}^{2}\mathrm{y},\u20136{\mathrm{x}}^{2},\mathrm{y},2\mathrm{xy},3\mathrm{x}\\ \left(\mathrm{b}\right)10\mathrm{pq},7\mathrm{p},8\mathrm{q},\u2013{\mathrm{p}}^{2}{\mathrm{q}}^{2},\u20137\mathrm{qp},\u2013100\mathrm{q},\u201323,12{\mathrm{q}}^{2}{\mathrm{p}}^{2},\\ \u20135{\mathrm{p}}^{2},41,2405\mathrm{p},78\mathrm{qp},13{\mathrm{p}}^{2}\mathrm{q},{\mathrm{qp}}^{2},701{\mathrm{p}}^{2}\end{array}$

**Ans**

$\begin{array}{l}\left(\mathrm{a}\right)\text{Like terms are:}\\ -{\mathrm{xy}}^{2},2{\mathrm{xy}}^{2}\\ -4{\mathrm{yx}}^{2},20{\mathrm{x}}^{2}\mathrm{y}\\ 8{\mathrm{x}}^{2},-11{\mathrm{x}}^{2},-6{\mathrm{x}}^{2}\\ 7\mathrm{y},\mathrm{y}\\ -100\mathrm{x},3\mathrm{x}\\ -11\mathrm{xy},2\mathrm{xy}\\ \left(\mathrm{b}\right)\mathrm{Liketermsare}:\\ 10\mathrm{pq},-7\mathrm{pq},78\mathrm{qp}\\ 7\mathrm{p},2405\mathrm{p}\\ 8\mathrm{q},-100\mathrm{q}\\ -{\mathrm{p}}^{2}{\mathrm{q}}^{2},12{\mathrm{q}}^{2}{\mathrm{p}}^{2},\\ -23,41\\ -5{\mathrm{p}}^{2},701{\mathrm{p}}^{2}\\ 13{\mathrm{p}}^{2}\mathrm{q},{\mathrm{qp}}^{2}\end{array}$