# NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions In Hindi

Mathematicians that specialise in algebra study letters and symbols that stand in for unknown numbers or quantities, and then figure out how to modify and solve them. Algebra is built on algebraic expressions. Algebraic expressions are thoroughly covered in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi by Extramarks.

The students will have a better understanding of how algebraic expressions are created and how the unknown values may be obtained by thoroughly studying this NCERT Solutions For Class 7 Maths Chapter 12 In Hindi. Even the two of these phrases can be combined. Variables and constants are the building blocks of algebraic expressions. They will encounter information like the notion that terms are used to form expressions and that a term is a concatenation of elements in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi.

The sequence of operations is used to solve for the unknown variable after grouping like terms to solve algebraic equations. A polynomial is an algebraic expression with one or more terms. Students may discover some of them in the activities provided below, as well as in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi based on Algebraic Expressions PDF file, which is provided on the Extramarks website and mobile application.

Below is a list of exercises that are included in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi:

• NCERT Solutions Class 7 Maths Chapter 12 Ex 12.1
• NCERT Solutions Class 7 Maths Chapter 12 Ex 12.2
• NCERT Solutions Class 7 Maths Chapter 12 Ex 12.3
• NCERT Solutions Class 7 Maths Chapter 12 Ex 12.4

As a result, the value of the unknown variables can be ascertained using any reasoning, as is further explained in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi, which can be downloaded in PDF format from the Extramarks website and mobile application. There is no one-size-fits-all method for solving algebraic expressions, which is an important point to keep in mind while solving the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi.

## NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions In Hindi PDF Download

The arithmetic operations in the equation on the similar terms, followed by the substitution approach, can be used to simplify the algebraic expressions in order to arrive at the solution. The NCERT Solutions For Class 7 Maths Chapter 12 In Hindi based on Algebraic Expressions has further examples of these techniques, so students should make sure to learn all the material covered in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi. Below is a thorough analysis of the tasks in each chapter portion:

• Class 7 Maths Chapter 12 Ex 12.1 – 7 Questions
• Class 7 Maths Chapter 12 Ex 12.2 – 6 Questions
• Class 7 Maths Chapter 12 Ex 12.3 – 10 Questions
• Class 7 Maths Chapter 12 Ex 12.4 – 2 Questions

NCERT Solutions For Class 7 Maths Chapter 12 In Hindi explains how the whole subject of algebraic expressions, from how they are created to how their value is determined, is covered in detail..Throughout the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi, the fundamental definitions of an expression, a term’s components, a coefficient, like and unlike terms, monomial, binomial, trinomial, and polynomial are fully stated. Additionally, the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi goes into great detail on key ideas, including how to add and subtract expressions, how to add and subtract similar terms, and how to use algebraic expressions to create Mathematical rules and formulae.

### NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions In Hindi

The NCERT Solutions For Class 7 Maths Chapter 12 In Hindi consists of 25 questions in Chapter 12, with three difficulty levels: easy (15 questions), medium (6 questions), and difficult (4 questions).

It is critical for students to remember the important information and ideas about algebraic expressions contained in the NCERT Solutions for Class 7 Maths Chapter 12 in Hindi.Rather than formulae, the NCERT Solutions for Class 7 Maths, Chapter 12, in Hindi presents tactics or information pertaining to the expressions.The Extramarks website and mobile application provide some information or key concepts that are beneficial during the exam:

• Coefficient: The coefficient is the term’s numerical value.
• Like and Unlike Terms: When two algebraic expressions are joined, the like terms are combined first, leaving the unlike terms alone.

The first section, which follows a brief introduction, addresses how expressions are formed. Variables and constants are the building blocks of algebraic expressions. The topic’s terminology, factors, and coefficients are then presented. Terms are the components of expressions. A term is a combination of variables. The metric in the word is called the coefficient. Like and unlike words are addressed prior to going on to concepts like monomials, binomials, and polynomials. Terms are similar if they share the same algebraic factors.

Terms differ from one another when they have various algebraic components.

The NCERT Solutions for Class 7 Maths Chapter 12 in Hindi highlight important topics such as the addition and subtraction of algebraic expressions.

The following NCERT Solutions For Class 7 Maths Chapter 12 In Hindi discusses two subdivisions:

• Adding and removing comparable phrases A like term with a numerical coefficient equal to the total of the numerical coefficients of all the like terms is the sum of two or more like terms.
• A like term with a numerical coefficient equal to the difference between the numerical coefficients of the two like terms is the difference between two similar terms.
• Combining and deleting common algebraic expressions
• While the opposite terms are left alone, the similar terms are combined.

Finding the Value of an Expression is covered in the section’s next paragraph, where the value of a variable is provided based on how the expression’s value is determined. The concept of using algebraic expressions is then covered in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi. Formulae and Rules, where one learns how to write formulas and patterns using algebraic expressions. These patterns have a connection to geometrical and numerical patterns.

• Formula for perimeter
• space formulas
• Number patterns have rules.
• Geometric pattern

### प्रश्नावली 12.1

Monomials, binomials, trinomials, and polynomials are some of the subjects covered in this exercise from the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi in terms of how expressions are generated, terms of an expression, like and unlike terms, and polynomials. These NCERT Solutions For Class 7 Maths Chapter 12 In Hindi are written so that students in the Class 7 may rapidly understand the topics and thoroughly study for tests in order to get better grades.

The NCERT Solutions For Class 7 Maths Chapter 12 In Hindi based on Algebraic Expressions starts with the fundamental definition of the constituents of algebraic expressions including variables, constants, coefficients, and like and unlike terms. Because the practise questions are based on the NCERT Solutions for Class 7 Maths Chapter 12 in Hindi, students must read them thoroughly.Students will be required to construct algebraic expressions using the provided values, discover coefficients, distinguish similar and unlike words from an expression, and identify the coefficients of the expressions in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi in order to categorise the expressions as monomial, binomial, or polynomial.There are 7 short answer questions in the Class 7 Maths Chapter 12 Exercise 12.1 of the NCERT Solutions provided by Extramarks.

Students will encounter like and unlike terms in algebraic expressions, and if one needs to solve the equation, one might become confused about them. Therefore, it becomes crucial to first identify them. First, don’t concentrate on the numerical coefficients; second, locate the variables—they will be the same—and then check their powers—they will also be the same.

Through the link on the Extramarks website and Extramarks mobile application, students may obtain the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi.

The students will be able to quickly grasp the basic algebraic principles in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi, since they will be able to recall them from prior courses. To improve their problem-solving skills, they are still urged to read the examples given.

Students practising the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi should not skip any of the exercises because practising the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi will help them develop a solid foundation in algebra. They will be able to explore more expressions and develop quick problem-solving techniques as they solve more, which will allow them to finish their paper faster.

### प्रश्नावली 12.2

On the Extramarks website and mobile application, students can get the NCERT Solutions for Class 7 Maths Exercise 12.2 Chapter 12 Algebraic Expressions in a straightforward PDF format. In this problem from NCERT Solutions For Class 7 Maths Chapter 12 In Hindi, the themes of adding and subtracting similar terms and adding and subtracting general algebraic equations are discussed. These NCERT Solutions For Class 7 Maths Chapter 12 In Hindi centred on Algebraic Expression have been created by Extramarks’ subject specialists to aid students in their test preparation. Students can practice various sorts of problems either online or by downloading these NCERT Solutions For Class 7 Maths Chapter 12 In Hindi.

Simplifying an algebraic expression is necessary in order to solve it. Arithmetic operators on similar terms must be used during simplification.The addition and subtraction of algebraic expressions are explained in the NCERT Solutions for Class 7 Maths Chapter 12 in Hindi Algebraic Expressions for the sake of simplification. It demonstrates how similar terms in an expression can be added to or taken away. The NCERT Solutions For Class 7 Maths Chapter 12 In Hindi questions are based on the concept mentioned above.

The students are tasked with adding and subtracting the provided phrases in six different problems. There are 7 short answer questions in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi.

The variables are integers, thus the distributive law may be applied to them, as the students must keep in mind. In the same way that the signs of an algebraic expression should be treated, individual numerical signs should be handled. On the Extramarks website and mobile application, students can obtain the exercise questions for NCERT Solutions For Class 7 Maths Chapter 12 In Hindi based on Algebraic Expressions.

The chapter 12 exercise 12.2 Algebraic Expressions questions in this portion of the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi pertain to the simplification procedure. Students must pay close attention to any formulations in order to identify like terms, because simplification occurs when like terms are combined with arithmetic operators in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi.

To assess their ability to observe, students should attempt to complete as many problems from the NCERT Solutions for Class 7 Maths Chapter 12 in Hindi as possible.

Understanding the methods used to determine the sum and difference using two or more algebraic expressions will be made easier with the aid of the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi.

### प्रश्नावली 12.3

When determining whether a certain value of a variable satisfies a given equation, for example, students may need to determine the value of an expression. The substitution approach is thus introduced to the students in the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi centred on Algebraic Expressions. To solve the practise problems, students must substitute the supplied values for the given phrases.

There are 10 questions in this Exercise 12.3 of the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi, and the students will have no trouble answering them.

Students use algebraic equations to determine the value of unknown variables and are aware that the value depends on the variables making up the expression. Students may find the answers to the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi online on the Extramarks website and Extramarks mobile application.

With the aid of the examples in NCERT Solutions For Class 7 Maths Chapter 12 In Hindi centred on Algebraic Expressions, students should grasp how an expression is evaluated. The processes are straightforward so that the students can quickly comprehend what must be done in order to properly analyse them. The students must pay close attention to the substitution approach in order to enter the proper numbers and continue to complete the computations.

Students can explore the idea of structuring the Mathematical rules with the aid of the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi, which is focused on algebraic expressions. As the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi will aid in framing the right expression out of the problem, they ought to be equipped with the necessary skills, such as an understanding of the problem statement and the utterances that correspond to each operator in an algebraic expression. To assist students, the NCERT Solutions For Class 7 Maths Chapter 12 In Hindi include thorough examples and clear explanations.

### NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions In Hindi

According to the NCERT Solutions for Class 7 Maths Chapter 12 in Hindi, algebraic expressions are the use of letters or alphabets to represent numbers without providing their precise valuesStudents learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Therefore, specialists refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A component is any value that is added before a variable and then multiplied by it.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in Mathematics (addition, subtraction, etc.). Terms combine to form expressions. Additionally, students can complete problems in worksheets for algebraic expressions that are offered by Extramarks experts for both online and offline use.

Below is an overview of the concepts of Variables, Constants, Terms and Coefficients as discussed in the NCERT Solutions for Class 7 Maths Chapter 12 In Hindi:

In Mathematics,

• A variable is a symbol that doesn’t have a set value. Any value may be used. n is a variable that can have the values 1, 2, 3, in the example with the matchsticks above. Mathematics variables include things like a, b, x, y, z, m, etc.
• A constant, on the other hand, is a symbol that has a set numerical value. Every number is a constant. Constants include numbers like 3, 6, -(1/2), 5, etc.
• A term is a variable alone (or) a constant alone (or) it can be a combination of variables and constants by the operation of multiplication or division. Some examples of terms are 3×2, -(2y/3), √(5x), etc.
• Here, the numbers that are multiplying the variables are 3, -2/3, and 5. These numbers are called coefficients.

The many sorts of algebraic expressions are determined by the variables included in each expression, the number of terms in each expression, and the magnitudes of the variable exponents in each expression. The algebraic expressions are broken down into five separate categories in a table that is available on the Extramarks website and mobile application. It can be examined by students to help them understand the concepts and ideas in the NCERT Solutions for Class 7 Maths Chapter 12 In Hindi.

There are numerous branches in Mathematics. Arithmetic is the division that controls numbers and their operations. Calculations involving numbers, such as addition, subtraction, multiplication, and division, are performed using it. Geometry is the study of figures’ shapes, dimensions, and construction with the use of a compass, ruler, and pencil. Another intriguing division that takes the form of numbers and letters that we refer to as variables to explain our everyday circumstances is algebra. Algebraic expressions include variables, numbers, and operational signs. Examples include multiplication, division, exponentiation with the natural exponent, addition, and subtraction. Fractional expression is the name given to division in an algebraic expression with variables.

Rational numbers are those that can be expressed in fractional form. Examples include recurring decimals, integers, and decimal terminations.

An algebraic expression is referred to as being irrational if it contains the variable’s root or a fractional power with a changeable base. Therefore, using algebraic terms can be both rational and illogical. Integral and fractional expressions are two categories of rational expressions.

To learn mathematics, students must comprehend what an expression and an equation are. The aforementioned concepts have been further discussed in extensive detail in the NCERT Solutions for Class 7 Maths Chapter 12 In Hindi.

Finding the simplified term of the given expression is the aim of algebraic expression simplification. Students must first understand how to join similar terms, how to factor a number, the order of operations, and whether to factor the expression or simply simplify it before we can factor an algebraic equation. For the purpose of simplification, the constant terms are segregated and the variables that share the same degree are gathered along with the same terms. Students can learn how to simplify algebraic expressions through the NCERT Solutions for Class 7 Maths Chapter 12 In Hindi, available for access on the Extramarks website and Extramarks mobile application.

Below are a few important terminologies used in the NCERT Solutions for Class 7 Maths Chapter 12 In Hindi that students must understand before solving the NCERT Solutions for Class 7 Maths Chapter 12 In Hindi:

• An Expression: An algebraic expression is one that includes variables, integers, and operation symbols. In algebra, readers engage with variables, symbols, or characters whose meanings are unknown.
• There are four primary categories of algebraic expressions, including:
• Monomial Expression.
• Binomial Expression.
• Trinomial Expression.
• Polynomial Expression.
1. Monomial Expression: A single-term algebraic expression is referred to as a monomial.
2. Binomial Expression: An algebraic expression with two unlikely terms is known as a binomial expression.
3. Trinomial Expression: A trinomial is an algebraic expression with just three non-zero terms.
4. Polynomial Expression: A polynomial is often defined as a term with non-negative integral exponents for a variable.

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