Algebraic Expressions and Identities - Solutions 1
CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 9
Algebraic Expressions and Identities (Ex. 9.1)
NCERT Solutions
CHAPTER - 9
Algebraic Expressions and Identities (Ex. 9.1)
1. Identify the terms, their coefficients for each of the following expressions:
(i)

(ii) 

(iii)

(iv) 

(v)

(vi) 

Ans. (i) Terms:
and 


Coefficient in
is 5 and in
is 



(ii) Terms:
and 


Coefficient of
and of
is 1.


(iii) Terms:
and 


Coefficient in
is 4, coefficient of
is
and coefficient of
is 1.




(iv) Terms:
and 


Coefficient of
is
, coefficient of
is 1 and coefficient of
is 





(v) Terms:
and 


Coefficient of
is
coefficient of
is
and coefficient of
is 






(vi) Terms:
and 


Coefficient of
is 0.3, coefficient of
is
and coefficient of
is 0.5.




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












Ans. (i) Since
contains two terms. Therefore it is binomial.

(ii) Since 1000 contains one terms. Therefore it is monomial.
(iii) Since
contains four terms. Therefore it is a polynomial and it does not fit in above three categories.

(iv) Since
contains three terms. Therefore it is trinomial.

(v) Since
contains two terms. Therefore it is binomial.

(vi) Since
contains three terms. Therefore it is trinomial.

(vii) Since
contains three terms. Therefore it is trinomial.

(viii) Since 4z-15z2contains two terms. Therefore it is binomial.
(ix) Since
contains four terms. Therefore it is a polynomial and it does not fit in above three categories.

(x) Since
contains one terms. Therefore it is monomial.

(xi) Since
contains two terms. Therefore it is binomial.

(xii) Since
contains two terms. Therefore it is binomial.

3. Add the following:
(i) 

(ii) 

(iii) 

(iv) 

Ans. (i) 


(ii) 


Hence the sum if 0.
Hence the sum is 

(iii)


(iv) 


Hence the sum is

4. (a) Subtract
from 
(b) Subtract
from 
(c) Subtract
from 


(b) Subtract


(c) Subtract


Ans. (a)

(b)


(c)

