NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1.

• Algebraic Expressions and Identities Class 8 Ex 9.2
• Algebraic Expressions and Identities Class 8 Ex 9.3
• Algebraic Expressions and Identities Class 8 Ex 9.4
• Algebraic Expressions and Identities Class 8 Ex 9.5

Board	CBSE
Textbook	NCERT
Class	Class 8
Subject	Maths
Chapter	Chapter 9
Chapter Name	Algebraic Expressions and Identities
Exercise	Ex 9.1
Number of Questions Solved	4
Category	NCERT Solutions

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

Question 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)
(vi) 0.3a – 0.6ab + 0.5b
Solution:
(i) In the expression 5xyz² – 3zy, the terms are 5xyz² and -3zy.
Coefficient of xyz² in the term 5xyz² is 5.
Coefficient of zy in the term – 3yz is – 3.

(ii) In the expression 1 + x + x², the terms are 1, x and x².
Coefficient of term 1 is 1.
Coefficient of x in the term x is 1.
Coefficient of x² in the term x² is 1.

(iii) In the expression 4x y – 4xyz + z , the terms are 4x²y², – 4x²y²z² and z².
Coefficient of x²y² in the term 4x²y² is 4.
Coefficient of x²y²z² in the term – 4x²y²z² is – 4.
Coefficient of z² in the term z2 is 1.

(iv) In the expression 3 – pq + qr – rp, the terms are 3, – pq, qr and – rp.
Coefficient of term 3 is 3.
Coefficient of pq in the term – pq is -1.
Coefficient of qr in the term qr is 1.
Coefficient of rp in the term – rp is -1.

(v) In the expression , the terms are and – xy.
Coefficient of x in the term is
Coefficient of y in the term is
Coefficient of xy in the term – xy is -1.

(vi) In the expression 0.3a -0.6 ab + 0.5 b, the terms are 0.3a, – 006ab and 0.5b.
Coefficient of a in the term 0.3a is 0.3.
Coefficient of ab in the term – 0.6ab is – 0.6.
Coefficient of b in the term 0.5b is 0.5.

Question 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 under :
Monomials : 1000, pqr
Binomials : x + y, 2y – 3y², 4z -15z², p²q + pq², 2p + 2q.
Trinomials : 7 + y + 5x, 2y – 3y² + 4y³, 5x – 4y + 3x.
Polynomials that do not fit in any categories :
x + x² + x³ + x⁴, ab + be + cd + da.

Question 3.
Add the following :
(i) ab – be, be – ca, ea – ab
(ii) a – b + ab, b-c + be, c – a + ac
(iii) 2p²q² – 3pq + 4, 5 + 7pq – 3p²q²
(iv) l² + m², m² + n², n² + l², 2Im + 2mn + 2nl
Solution:
(i) Writing the given expressions in separate rows with like terms one below the other, we have

(ii) Writing the given expressions in separate rows with like terms one below the other, we have

(iii) Writing the given expressions in separate rows with like terms one below the other, we have

(iv) Writing the given expressions in separate rows with like terms one below the other, we have

Question 4.
(a) Subtract
4a – lab +36 + 12 from 12a – 9a6 + 56-3
(b) Subtract
3xy + 5yz – Izx from 5xy – 2yz – 2zx + IQxyz
(c) Subtract 4p²q – 3pq + 5pq² – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq² + 5p²q.
Solution:
Rearranging the terms of the given expressions, changing the sign of each term of the expression to be subtracted and adding the two expressions, we get

 

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