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

In this page we have Important questions for Algebraic Expressions and Identities Class 8 Maths Chapter 9 .This page contains question on all format like subjective type questions, Multiple choice questions and Match the column. Hope you like them and do not forget to like , social share
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Subjective Type Questions

Question 1
Identify the terms, their coefficients for each of the following expressions.
(i)xyz^{2}Â + 3xy
(ii)1 -Â xÂ -2x^{2}
(iii)4p^{2}q^{2} - 4p^{2}q^{2}r^{2}+ r^{2}
(iv)4 - xy + yz - xz
(v) (x/4) - (y/5) -y
(vi)1.3a - 2.6ab + 1.5b Solution

Question 2
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
(a)x^{2} + y^{2}
(b)1000-x
(c)x + x^{2}+ x^{3}Â + x^{4} + x^{5}
(d)8 - y -5x
(e) 2y -3y^{2}
(f) 2y - 3y+ 4y^{3}
(g) 5x -8y + 3xy
(h) 4 -15z^{2}
(i) ab + bc + cd + da+ 2ab
(j) pqr+2pq+5pqr
(k) p^{2}q + pq^{2}
(l) 2p + 2q+1 Solution

While subtracting, we need to remember signs are reversed after –sign once bracket is opened
ie. + becomes - and - becomes +
Let solve the below question keeping that in mind
(a) 20a - 9ab + 5b - 20 -(8a - 7ab + 3b - 20)=20a - 9ab + 5b - 20-8a +7ab-3b+20 =12a+2b -2ab
(b) -4pq +2qr - 2pr + 5pqr+1 -( 3pq + 5qr - 7pr+1 )=-4pq +2qr - 2pr + 5pqr+1 -3pq-5qr+7pr-1=-7pq -3qr+5pr+5pqr
(c) 18 - 3p - 11q + 5pq - 2pq^{2}+ 5p^{2}q -(4p^{2}q - 4pq - 5pq^{2} - 8p + 7q - 18)= 18 - 3p - 11q + 5pq - 2pq^{2}+ 5p^{2}q -4p^{2}q+4pq +5pq^{2}+8p-7q+18=36-3p-18q+9pq+3pq^{2}+5p^{2}q -4p^{2}q

Question 5
What are the coefficient of each term in the below expression?
4p^{2}q^{2}Â + 4p^{2}q^{2}r^{2}Â - r^{2} +5
(a)4,4,-1,5
(b)4,4,1,5
(c) 4,4r^{2} ,-r^{2}, 5
(d) None of these Solution

Answer is (a)

Multiple Choice Questions

Question 6
The product of a monomial and trinomial will be a
(a)monomial
(b)trinomial
(c)binomial
(d) None of these Solution

Answer is (b)

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 Solution

Answer is (d)

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

Answer is (a) as it sums to 3pqr

Question 9
Sum of a - b + ab, b + c - bc and c - a - ac is
(a) 2c + ab - ac - bc
(b) 2c - ab - ac - bc
(c) 2c + ab + ac + bc
(d) 2c - ab + ac + bc Solution

Answer is (a) as it sums to 2c + ab – ac – bc

Question 10
The value of $(a + b)^2 + (a - b)^2$ is
(a) 2a + 2b
(b) 2a - 2b
(c) $2a^2 + 2b^2$
(d) $2a^2 - 2b^2$ Solution

Answer is (c) as $(a + b)^2 + (a - b)^2=a^2 + b^2 + 2ab +a^2 + b^2 - 2ab=2a^2 + 2b^2$

This algebraic expressions and identities class 8 important questions is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail.