Important questions for Algebraic Expressions and Identities Class 8 Maths Chapter 9

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Question 1
Identify the terms, their coefficients for each of the following expressions.
(i)xyz2 + 3xy
(ii)1 - x -2x2
(iii)4p2q2 - 4p2q2r2+ r2
(iv)4 - xy + yz - xz
(v) (x/4) - (y/5) -y
(vi)1.3a - 2.6ab + 1.5b

Question 2
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
a)x2 + y2
c)x + x2+ x3 + x4 + x5
d)8 - y -5x
e) 2y -3y2
f) 2y - 3y+ 4y3
g) 5x -8y + 3xy
h) 4 -15z2
i) ab + bc + cd + da+ 2ab
j) pqr+2pq+5pqr
k) p2q + pq2
l) 2p + 2q+1

Question 3
Add the following.
(i) ab - bc+ ac, bc - ca+ ab, ca - ab-2bc
(ii)p - q + pq, q - r + qr, r - p + pr , p+q+r
(iii)2p2q2- 3pq + 4, 5 + 7pq - 3p2q2 ,4p2q2 + 10pq
(iv)a2+ b2, b2+ c2, c2+ a2, 2ab + 2bc + 2ac

Question 4.
(a) Subtract 8a - 7ab + 3b - 20 from 20a - 9ab + 5b - 20
(b) Subtract 3pq + 5qr - 7pr+1 from -4pq +2qr - 2pr + 5pqr+1
(c) Subtract 4p2q - 4pq - 5pq2 - 8p + 7q - 18
from 18 - 3p - 11q + 5pq - 2pq2+ 5p2q

Question 5
What are the coefficient of each term in the below expression?
4p2q2 + 4p2q2r2 - r2 +5
c) 4,4r2 ,-r2, 5
d) None of these

Question 6
The product of a monomial and trinomial will be a
d) None of these

Question 7
The exponents of a variable term in the polynomial is a
a) integers
b)negative integers
c) positive integers
d) non -negative integers

Question 8
The expression pqr +rqp+qpr is a
a) Monomial
c) binomial
d) none of these

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