NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.1 Algebraic Expressions & Identities

NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.1 Algebraic Expressions & Identities

NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.1 contains 4 questions and each question has explained in detail and stepwise. If you are class 8th student and currently preparing chapter 9 exercise 9.1 then you must be looking for the maths class 8 chapter 9 exercise 9.1 solution for your exams preparation. Here we are providing complete solutions for class 8 maths exercise 9.1.

Table of Content

Category	NCERT Solutions Class 8
Subject	Maths
Chapter	Chapter 9
Exercise	Exercise 9.1
Chapter Name	Algebraic Expressions & Identities

NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.1 Algebraic Expressions & Identities, has been designed by the NCERT to test the knowledge of the student on the following topics:-

• What are Expressions?
• Terms, Factors and Coefficients
• Monomials, Binomials and Polynomials
• Like and Unlike Terms
• Addition and Subtraction of Algebraic Expressions

Maths class 8 chapter 9 exercise 9.1 Question Answers Stepwise Solutions

Q.1 Identify the terms, their coefficients for each of the following expressions.

(i) 5xyz² − 3zy
(ii) 1 + x + x²
(iii) 4x²y² − 4x²y²z² + z²
(iv) 3 − pq + qr − rp
(v) x/2 +y/2 – xy
(vi) 0.3a − 0.6ab + 0.5b

Solution:

The terms and their coefficients of the given expressions:

Q.2 Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?

x + y, 1000, x + x² + x³ + x⁴, 7 + y + 5x, 2y − 3y², 2y − 3y² + 4y³, 5x − 4y + 3xy, 4z − 15z², ab + bc + cd + da, pqr, p²q + pq², 2p + 2q

Solution:

The given polynomials are classified as

Monomials: 1000, pqr
Binomials: x + y, 2y − 3y², 4z − 15z², p²q + pq², 2p + 2q
Trinomials: 7 + y + 5x, 2y − 3y² + 4y³, 5x − 4y + 3xy
Polynomials that do not fit in any of these categories: x + x² + x³ + x⁴ , ab + bc + cd + da

Q.3 Add the following.

(i) ab − bc, bc − ca, ca − ab
(ii) a − b + ab, b − c + bc, c − a + ac
(iii) 2p²q² − 3pq + 4, 5 + 7pq – 3p²q²
(iv) l² + m², m² + n², n² + l², 2lm + 2mn + 2nl

Solution:

Writing the expressions in separate rows, with like terms one below the other, we have

(i) 

Therefore, sum of the given expressions is 0

(ii) 

Therefore, sum of the given expressions is ab + bc + ac

(iii) 

Therefore, sum of the given expressions is −p²q² + 4pq + 9

(iv) 

Therefore, sum of the given expressions is 2(l² + m² + n² + lm + mn + nl).

 

Q.4

(a) Subtract 4a − 7ab + 3b + 12 from 12a − 9ab + 5b − 3

(b) Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz

(c) Subtract 4p²q − 3pq + 5pq² − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq² + 5p²q

Solution:

Writing the expressions in separate rows, with like terms one below the other, we have

(a) 

(b) 

(c)

Other Exercise’s NCERT solutions for class 8 maths chapter 9

• Exercise 9.1 – Algebraic Expressions and Identities
• Exercise 9.2 – Algebraic Expressions and Identities
• Exercise 9.3 – Algebraic Expressions and Identities
• Exercise 9.4 – Algebraic Expressions and Identities
• Exercise 9.5 – Algebraic Expressions and Identities

The next Exercise for NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.2 Algebraic Expressions and Identities can be accessed by clicking here

• Maths – NCERT Solutions Class 8
• NCERT Solutions Class 8

NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.1 Algebraic Expressions & Identities