NCERT Class 7 Maths Algebraic Expressions

Read and download NCERT Class 7 Maths Algebraic Expressions in NCERT book for Class 7 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 7 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 7 Mathematics to understand the answers of the exercise questions given at the end of this chapter

NCERT Book for Class 7 Mathematics Chapter 12 Algebraic Expressions

Class 7 Mathematics students should refer to the following NCERT Book Chapter 12 Algebraic Expressions in Class 7. This NCERT Book for Class 7 Mathematics will be very useful for exams and help you to score good marks

Chapter 12 Algebraic Expressions NCERT Book Class 7

 

 

Algebraic Expressions

12.1 INTRODUCTION

We have already come across simple algebraic expressions like x + 3, y – 5, 4x + 5, 10y – 5 and so on. In Class VI, we have seen how these expressions are useful in formulating puzzles and problems. We have also seen examples of several expressions in the chapter on simple equations.

Expressions are a central concept in algebra. This Chapter is devoted to algebraic expressions. When you have studied this Chapter, you will know how algebraic expressions are formed, how they can be combined, how we can find their values and how they can be used.

12.2 HOW ARE EXPRESSIONS FORMED?

We now know very well what a variable is. We use letters x, y, l, m, ... etc. to denote variables. A variable can take various values. Its value is not fixed. On the other hand, a constant has a fixed value. Examples of constants are: 4, 100, –17, etc. 

We combine variables and constants to make algebraic expressions. For this, we use the operations of addition, subtraction, multiplication and division. We have already come across expressions like 4x + 5, 10y – 20. The expression 4x + 5 is obtained from the variable x, first by multiplying x by the constant 4 and then adding the constant 5 to the product. Similarly, 10y – 20 is obtained by first multiplying y by 10 and then subtracting 20 from the product. 

 12.3 TERMS OF AN EXPRESSION

We shall now put in a systematic form what we have learnt above about how expressions are formed. For this purpose, we need to understand what terms of an expression and their factors are. Consider the expression (4x + 5). In forming this expression, we first formed 4x separately as a product of 4 and x and then added 5 to it. Similarly consider the expression (3x2 + 7y). Here we first formed 3x2 separately as a product of 3, x and x. We then formed 7y separately as a product of 7 and y. Having formed 3x2 and 7y separately, we added them to get the expression.

 Coefficients

We have learnt how to write a term as a product of factors. One of these factors may be numerical and the others algebraic (i.e., they contain variables). The numerical factor is said to be the numerical coefficient or simply the coefficient of the term. It is also said to be the coefficient of the rest of the term (which is obviously the product of algebraic factors of the term). Thus in 5xy, 5 is the coefficient of the term. It is also the coefficient of xy. In the term 10xyz, 10 is the coefficient of xyz, in the term –7x2y2, –7 is the coefficient of x2y2.

When the coefficient of a term is +1, it is usually omitted. For example, 1x is written as x; 1 x2y2 is written as x2y2 and so on. Also, the coefficient (–1) is indicated only by the minus sign. Thus (–1) x is written as – x; (–1) x2 y 2 is written as – x2 y2 and so on.

Sometimes, the word ‘coefficient’ is used in a more general way. Thus we say that in the term 5xy, 5 is the coefficient of xy, x is the coefficient of 5y and y is the coefficient of 5x. In 10xy2, 10 is the coefficient of xy2, x is the coefficient of 10y2 and y2 is the coefficient of 10x. Thus, in this more general way, a coefficient may be either a numerical factor or an algebraic factor or a product of two or more factors. It is said to be the coefficient of the product of the remaining factors.

 

Please refer to attached file for NCERT Class 7 Maths Algebraic Expressions

Mathematics NCERT Book Class 7 Chapter 12 Algebraic Expressions

The above NCERT Books for Class 7 Mathematics Chapter 12 Algebraic Expressions have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 12 Algebraic Expressions Mathematics Class 7 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 12 Algebraic Expressions NCERT etextbooks as the exams for Class 7 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 7 Chapter 12 Algebraic Expressions book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 7 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 7 students.

NCERT Book Class 7 Mathematics Chapter 12 Algebraic Expressions

The latest NCERT book for Chapter 12 Algebraic Expressions pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 7 Mathematics Chapter 12 Algebraic Expressions are designed to enhance the overall understanding of students. All Class 7 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 7 students. 

Chapter 12 Algebraic Expressions NCERT Book Class 7 Mathematics

As the students of Class 7 need the books for their regular studies, we have provided all NCERT book for Chapter 12 Algebraic Expressions in pdf here for free download. All pdf NCERT books available here for Class 7 will help them to read on their mobile or computers. They can take a print of the Class 7 Mathematics NCERT Book Chapter 12 Algebraic Expressions pdf easily and use them for studies. The NCERT textbooks for Class 7 Mathematics have been provided chapter-wise and can be downloaded for free of cost. 

Class 7 Mathematics Chapter 12 Algebraic Expressions NCERT Book

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Class 7 Chapter 12 Algebraic Expressions NCERT Book Mathematics

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