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

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Q.1

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations. i Subtraction of z from y.ii Onehalf of the sum of numbers x and y.iii The number z multiplied by itself. iv Onefourth of the product of numbers p and q.v Numbers x and y both squared and added.vi Number 5 added to three times the product of numbers m and n. vii Product of numbers y and z subtracted from 10.viii Sum of numbers a and b subtracted from their product.

Ans

(i) yz (ii) 1 2 ( x+y ) MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakqaabeqaaiabbIcaOiabbMgaPjabbMcaPiabbccaGiabbMha5jabgkHiTiabbQha6bqaaiabbIcaOiabbMgaPjabbMgaPjabbMcaPiabbccaGmaalaaabaGaeGymaedabaGaeGOmaidaamaabmaabaGaemiEaGNaey4kaSIaemyEaKhacaGLOaGaayzkaaaaaaa@565F@

(iii) z 2 (iv) 1 4 ( pq ) (v) x 2 + y 2 (vi) 5+3( mn ) (vii) 10yz (viii) ab( a+b ) MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakqaabeqaaiabbIcaOiabbMgaPjabbMgaPjabbMgaPjabbMcaPiabbccaGiabbQha6naaCaaaleqabaGaeGOmaidaaaGcbaGaeiikaGIaeeyAaKMaeeODayNaeeykaKIaeeiiaaYaaSaaaeaacqaIXaqmaeaacqaI0aanaaWaaeWaaeaacqWGWbaCcqWGXbqCaiaawIcacaGLPaaaaeaacqqGOaakcqqG2bGDcqqGPaqkcqqGGaaicqqG4baEdaahaaWcbeqaaiabikdaYaaakiabgUcaRiabdMha5naaCaaaleqabaGaeGOmaidaaaGcbaGaeeikaGIaeeODayNaeeyAaKMaeeykaKIaeeiiaaIaeeynauJaee4kaSIaee4mamZaaeWaaeaacqWGTbqBcqWGUbGBaiaawIcacaGLPaaaaeaacqqGOaakcqqG2bGDcqqGPbqAcqqGPbqAcqqGPaqkcqqGGaaicqqGXaqmcqqGWaamcqGHsislcqqG5bqEcqqG6bGEaeaacqqGOaakcqqG2bGDcqqGPbqAcqqGPbqAcqqGPbqAcqqGPaqkcqqGGaaicqqGHbqycqqGIbGycqGHsisldaqadaqaaiabdggaHjabgUcaRiabdkgaIbGaayjkaiaawMcaaaaaaa@8A1A@

Q.2

(i) Identify the terms and their factors in the followingexpressions.Show the terms and factors by tree diagrams.(a) x3 (b)1+x+x2 (c)yy3(d) 5xy2+7x2y (e)ab+2b23a2(ii) Identify terms and factors in the expressions givenbelow:(a) 4x+5 (b) 4x+5y (c) 5y+3y2(d) xy+2x2y2 (e) pq+q (f) 1.2ab2.4b+3.6a(g) 34x+14 (h) 0.1p2+0.2q2

Ans

(i)

a.

b.

c.

d.

e.

( ii ) Row Expression Terms Factors ( a ) 4x+5 4x 5 4,x 5 ( b ) 4x+5y 4x 5y 4,x 5,y ( c ) 5y+3 y 2 5y 3 y 2 5,y 3,y,y ( d ) xy+2 x 2 y 2 xy 2 x 2 y 2 x,y 2,x,x,y,y ( e ) pq+q pq q p,q q ( f ) 1.2ab2.4b+3.6a 1.2ab 2.4b 3.6a 1.2,a,b 2.4,b 3.6,a ( g ) 3 4 x+ 1 4 3 4 x 1 4 3 4 ,x 1 4 ( h ) 0.1 p 2 +0.2 q 2 0.1 p 2 0.2 q 2 0.1,p,p 0.2,q,q MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@5021@

Q.3

Identify the numerical coefficients of terms(other than constants) in the following expressions:(i) 53t2 (ii) 1+t+t2+t3 (iii) x+2xy+3y(iv) 100m+1000n (v) p2q2+7pq (vi) 1.2a+0.8b(vii) 3.14r2 (viii) 2(l+b) (ix) 0.1y+0.01y2

Ans

Row Expression Terms Coefficients ( i ) 53 t 2 3 t 2 3 ( ii ) 1+t+ t 2 + t 3 t t 2 t 3 1 1 1 ( iii ) x+2xy+3y x 2xy 3y 1 2 3 ( iv ) 100m+100n 100m 100n 100 100 ( v ) p 2 q 2 +7pq p 2 q 2 7pq 1 7 ( vi ) 1.2a+0.8b 1.2a 0.8b 1.2 0.8 ( vii ) 3.14 r 2 3.14 r 2 3.14 ( viii ) 2( l+b ) 2l 2b 2 2 ( ix ) 0.1y+0.01 y 2 0.1y 0.01 y 2 0.1 0.01 MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@484B@

Q.4

(a) Identify terms which contain x and give thecoefficient of x.(i) y2x+y (ii) 13y28yx (iii)x+y+2(iv) 5+z+zx (v)1+x+xy (vi)12xy2+25(vii) 7x+xy2(b)Identify terms which contain y2 and give thecoefficient of y2.(i) 8xy2 (ii) 5y2+7x (iii) 2x2y15xy2+7y2

Ans

( a ) Row Expression Terms with x Cofficient of x ( i ) y 2 x+y y 2 x y 2 ( ii ) 13 y 2 8yx 8y 8 ( iii ) x+y+2 x 1 ( iv ) 5+z+zx zx z ( v ) 1+x+xy x xy 1 y ( vi ) 12x y 2 +25 12x y 2 12 y 2 ( vii ) 7+x y 2 x y 2 y 2 MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@F5FA@

( b ) Row Expression Terms with y 2 Cofficient of y 2 ( i ) 8x y 2 x y 2 x ( ii ) 5 y 2 +7x 5 y 2 5 ( iii ) 2 x 2 y+7 y 2 15x y 2 7 y 2 15x y 2 7 15x MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakqaabeqaamaabmaabaGaeeOyaigacaGLOaGaayzkaaaabaqbaeqacqabvvvvbeaacqqGsbGucqqGVbWBcqqG3bWDaeaacqqGfbqrcqqG4baEcqqGWbaCcqqGYbGCcqqGLbqzcqqGZbWCcqqGZbWCcqqGPbqAcqqGVbWBcqqGUbGBaeaacqqGubavcqqGLbqzcqqGYbGCcqqGTbqBcqqGZbWCcqqGGaaicqqG3bWDcqqGPbqAcqqG0baDcqqGObaAcqqGGaaicqqG5bqEdaahaaWcbeqaaiabikdaYaaaaOqaaiabboeadjabb+gaVjabbAgaMjabbAgaMjabbMgaPjabbogaJjabbMgaPjabbwgaLjabb6gaUjabbsha0jabbccaGiabb+gaVjabbAgaMjabbccaGiabbMha5naaCaaaleqabaGaeGOmaidaaaGcbaWaiaiMbmaabGaGykadaIzGPbqAaiacaIPLOaGaiaiMwMcaaaqaaiabiIda4iabgkHiTiabdIha4jabdMha5naaCaaaleqabaGaeGOmaidaaaGcbaGaeyOeI0IaemiEaGNaemyEaK3aaWbaaSqabeaacqaIYaGmaaaakeaacqGHsislcqWG4baEaeaadaqadaqaaiabbMgaPjabbMgaPbGaayjkaiaawMcaaaqaaiabiwda1iabdMha5naaCaaaleqabaGaeGOmaidaaOGaey4kaSIaeG4naCJaemiEaGhabaGaeGynauJaemyEaK3aaWbaaSqabeaacqaIYaGmaaaakeaacqaI1aqnaeaadaqadaqaaiabbMgaPjabbMgaPjabbMgaPbGaayjkaiaawMcaaaqaaiabikdaYiabdIha4naaCaaaleqabaGaeGOmaidaaOGaemyEaKNaey4kaSIaeG4naCJaemyEaK3aaWbaaSqabeaacqaIYaGmaaGccqGHsislcqaIXaqmcqaI1aqncqWG4baEcqWG5bqEdaahaaWcbeqaaiabikdaYaaaaOabaeqabaGaeG4naCJaemyEaK3aaWbaaSqabeaacqaIYaGmaaaakeaacqGHsislcqaIXaqmcqaI1aqncqWG4baEcqWG5bqEdaahaaWcbeqaaiabikdaYaaaaaGceaqabeaacqaI3aWnaeaacqGHsislcqaIXaqmcqaI1aqncqWG4baEaaaaaaaa@C830@

Q.5

Classify into monomials, binomials and trinomials.(i) 4y7z(ii)y2 (iii) x+yxy(iv)100(v) abab (vi)53t (vii) 4p2q4pq2 (viii) 7mn(ix) z23z+8 (x) a2+b2 (xi) z2+z(xii)1+x+x2

Ans

We know that the monomials, binomials and trinomials have 1, 2, and 3 respectively unlike terms in it. (i) 4y7z It is binomial. (ii) y 2 It is monomial. (iii) x+yxy It is trinomial. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@1890@

(iv) 100 It is monomial. (v) abab It is trinomial. (vi) 53t It is binomial. (vii) 4p 2 q 4pq 2 It is binomial. (viii) 7mn It is monomial. (ix) z 2 3z+8 It is trinomial. (x) a 2 b 2 It is binomial. (xi) z 2 +z It is binomial. (xii) 1+x+ x 2 It is trinomial. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@5639@

Q.6

State whether a given pair of terms is of like or unlike terms.(i) 1,100 (ii) 7x,52x (iii) 29x,29y(iv) 14xy,42yx (v) 4m2p,4mp2 (vi) 12xz,12x2z

Ans

The terms which have the same algebraic factors are called like terms and when the terms have different algebraic factors,they are called unlike terms(i) 1,100Like(ii) 7x,52xLike(iii) 29x,29yUnLike(iv) 14xy,42yxLike(v) 4m2p,4mp2UnLike(vi) 12xz,12x2z2UnLike

Q.7

Identify like terms in the following:(a) xy2,4yx2,8x2,2xy2,7y,11x2,100x,11yx,20x2y,6x2,y,2xy,3x(b) 10pq,7p,8q,p2q2,7qp,100q,23,12q2p2,5p2,41,2405p,78qp,13p2q,qp2,701p2

Ans

(a) Like terms are:xy2,2xy24yx2,20x2y8x2,11x2,6x27y,y100x,3x11xy,2xy(b) Liketermsare:10pq,7pq,78qp7p,2405p8q,100qp2q2,12q2p2,23,415p2,701p213p2q,qp2

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