KSEEB Solutions for Class 8 Maths Chapter 2 Algebraic Expressions

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In Chapter 2 of KSEEB Solutions for Class 8 Maths, you will study about algebraic expressions. An expression is made up of constants, variables, and mathematical operations. Next, you will learn to differentiate terms, coefficients, and factors.

A term is represented in the form of a single number or a variable or combination of both numbers and variables. A factor is defined as the product of numbers or number and variable. In the product of a number and a variable, the number is called the coefficient of a variable.

Further in this chapter of KSEEB Solutions for Class 8 Maths, you will learn to classify expressions based on the number of terms. Monomials are expressions which have only one term. Similarly, binomial consists of 2 terms and a trinomial contain 3 terms. A polynomial is an expression with one or more terms with a non-zero coefficient.

Karnataka Board Solutions for Class 8 Maths Chapter 2 ‘Algebraic Expressions’

Having understood the basic concepts, let us proceed with advanced topics of KSEEB 8th Maths Solutions.

1. Addition and subtraction of algebraic expressions: Before you attempt questions from this chapter, you should have a clear understanding of like and unlike terms. Like terms are characterized by the presence of the same variables. Unlike terms, on the other hand, have different variables. When adding or subtracting expressions, ensure that you perform these operations for the like terms only.

Example: The sum of (6x + y + 6) and (3x + 3y + 3) is (9x + 4y + 9)

2. Multiplication of algebraic expressions: When multiplying two expressions, you need to ensure that you follow the points given below.

  • Multiply the coefficients with each other
  • When multiplying two variables having a power, add their individual powers
  • Example: The product of 3x and 5x will be 15x2

3. Algebraic identities: An identity is a relation in which the left-hand of the equation, say A should always be equal to the right-hand side of the equation, say B.

Example: (x + 2)(x + 4) = x2 + 6x + 8

4. Important identities of algebra Class 8: In Chapter 2 of KSEEB Solutions for Class 8 Maths, you will study three identities of algebra, which are as follows.

  • (a + b)2 = (a2 + 2ab + b2)
  • (a - b)2 = (a2 - 2ab + b2)
  • (a + b)(a - b) = (a2 - b2)

KSEEB Solutions for Class 8 Maths Chapter 2 Algebraic Expressions

Exercise 2.1
  • Exercise 2.1
  • Exercise 2.2
  • Exercise 2.3
  • Exercise 2.4
  • Additional Problems 2
Class 8th|Karnataka Board - Mathematics Part IChapter 2 - Algebraic Expressions

Expert-backed KSEEB Class 8th Maths Solutions offer a step-by-step explanation to all the questions of each exercise. To master the concept of algebra, you require daily practice and need to learn standard identities. Those who find it difficult to understand algebra can take help from Goprep’s KSEEB Solutions to excel their performance.

If you have completed this chapter, you can start practicing questions of other chapters of Karnataka State Class 8 Maths. Refer to the chapter-wise solutions shown below.

KSEEB Solutions for Class 8 Maths Chapter 2 (Type of Questions)

There are four exercises in Chapter 2 of Karnataka State Class 8 Maths textbook ‘Algebraic Expressions’. We have provided detailed solutions for all the questions in each exercise.

Exercise 2.1: The first exercise of this chapter contains questions in which you have to identify the monomials, binomials, and trinomials

Exercise 2.2: Using the concept of like and unlike terms, you have to use operations in the expressions provided to get the answer. Remember that you can only perform operations to the like terms. Unlike terms do not undergo any change when added or subtracted.

Exercise 2.3: Here, you will come across questions where you have to multiply two expressions with each other. The same rule will be applicable for finding the product of two expressions to that of addition and subtraction.

Exercise 2.4: In the last exercise of KSEEB Solutions for Class 8 Maths, all the questions have to be simplified using the three standard identities of algebra Class 8 Maths mentioned above.