An Overview of Chapter 9 Algebraic Expressions and Identities
The algebraic expressions and identities class 8 chapter helps students to become more familiar with the fundamentals of algebra. It does not improve their knowledge about algebraic expressions and identities but also makes them comfortable with the idea of the algebraic equation in general.
Likewise, referring to NCERT solutions for class 8 maths algebraic expressions and identities is considered useful to enhance their overall grasp on the algebraic expressions and associated concepts. By incorporating the same in the study regime, the study can strengthen their fundamentals significantly.
Read on to learn more about class 8 algebraic expressions and identities in brief!
Chapter 9 Algebraic Expressions and Identities: A Brief Overview
Typically, any mathematical expression comprising numbers, operations and variables are categorised as an algebraic expression. In algebraic expressions and identities class 8th chapter, you will become familiar with all the important algebraic expressions.
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This following list highlights the expressions in brief which you can expect to find in the said chapter. Make sure to become familiar with these to understand NCERT solutions for class 8th maths chapter 9 algebraic expressions and identities properly.
1. Terms
It can be a single number, a variable or a combination of both. Every expression is separated with the help of an operation. For example, in the image above, ‘7n’ and 2 are two distinct terms.
2. Factors
Typically, factors are a product of numbers or variables and numbers. For instance, 7n is made up of 2 factors, namely – 7 and n.
3. Variable
Letters like x, y, n, etc. are designated as variables. If you take a closer look at the image above, you can see that ‘n’ is the variable in the expression.
4. Constant
Essentially, a constant is a number without any variable. For instance, in the expression 7n + 2, the constant is 2
5. Coefficient
A coefficient is simply a number that is multiplied to a variable. In other words, it is the numerical factor of a term. For instance, in an expression 2x + 3, 2 is the coefficient.
6. Operations
Operations are the ‘+’, ‘-‘that separate terms.
A fair idea of these terms will come in handy to understand the different terminologies used in CBSE 8th class maths algebraic expressions and identities better. It will also help to understand algebraic expressions and identities class 8 formulas and will come in handy for solving problems in standard algebraic identities more efficiently.
Identities
It is fundamentally an parity which is deemed true for each value of variables. However, an equation is deemed valid only for a few values. This particular aspect does not make an equation an identity.
For instance, x2 = 1 is considered valid only if x is 1. If x is 2, the same would not be true any more. This makes it an equation and not an identity.
Standard Algebraic Identities
This image below highlights the standard algebraic identities.
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Number Line and Expression
Generally, a number line is where an expression is represented. The NCERT solutions for class 8 maths algebraic expressions and identities ex 9.5 uncover smart steps to solve problems on the number line easily.
Example: Take a look at this image below to understand the concept of number line better.
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You can find more about the number line and other vital concepts in NCERT solutions for class 8 maths chapter 9 algebraic expressions and identities in detail. The step by step explanation will help you understand how to approach problems based on the number line more accurately.
Monomials, Binomials, Trinomials and Polynomials
Several algebraic expressions and identities class 8 questions are based on these concepts. Being clear about the idea they are based on and what distinguishes them will further help you to solve algebraic expressions and identities class 8 questions and answers successfully.
You can fund a detailed explanation in NCERT solutions for class 8 maths chapter algebraic expressions and identities and other study materials.
The following offers a fair idea about them in brief and will prove useful for extra questions for class 8 maths algebraic expressions and identities.
Once you become familiar with these expressions, you will be able to solve algebraic expressions and identities class 8 extra questions easily. Most important questions tend to test knowledge on problems like -
Addition and subtraction of algebraic expressions
Multiplication of algebraic expressions
A quality NCERT solution for class 8 maths chapter 9 algebraic expressions and identities you will be able to gain a step by step idea of how to solve such problems. In turn, it will help you to learn class 8 algebraic expressions and identities extra questions and much more.
You can also join our free live online classes to understand algebraic expressions and identities class 8 solutions successfully. Gaining clarity on the topic will come in handy for understanding algebraic expressions and identities class 9 with ease.
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FAQs on Algebraic Expressions and Identities
1. How to Solve Algebraic Expressions and Identities Class 8 Exercise 9.4?
Ans. The best way to solve the exercise is by improving the understanding of the concepts covered in it. One can also refer to algebraic expressions and identities class 8 NCERT solutions to pick up the tips and tricks to solve them accurately. Most solutions offer step by step explanations which allow students to understand the concept effectively.
2. What is Covered in Algebraic Expressions and Identities Class 8 Exercise 9.3?
Ans. The said exercise intends to test a student’s ability to solve the problems on multiplication of algebraic expressions. In a general sense, there are 5 questions in algebraic expressions, and identities exercise 9.3, which is further divided into several other questions. Students can refer to solved examples for designated exercise to find out accurate steps for each problem.
3. What is Covered in Algebraic Expressions and Identities Class 8 Exercise 9.1?
Ans. The very first exercise of algebraic expressions and identities covers concepts like – coefficient and classification of polynomials into monomial, binomial, trinomial and polynomial. The exercise also includes problems on addition and subtraction of algebraic expressions to test students’ understanding.
In general, the exercise comprises 4 questions which are further divided into several questions. Students can refer to solved exercises to gain a better idea about such problems or look for solved examples. Doing so, they will not only avail the suitable explanation behind each solution but will further understand the approach that needs to be adopted to solve similar problems.
4. What is Algebraic Expression and Identities? Provide Examples.
Ans. An algebraic expression can be described as expressions which consist of constants, variables and operations. It must be noted that all algebraic expressions are not polynomials; however, all polynomials are algebraic expressions. On the other hand, an identity can be defined as standard equality that stands true for the values of variables.
For example, 6x² − 4xy + c is an example of an algebraic expression as it comprises integer constants, algebraic operations and variables. In case of the latter, there are a total of 3 major types of identities and they comprise algebraic expressions, which are true for identity definition.