Algebraic Expressions and Identities Exercise 9.1

NCERT solutions for Class 8 Maths Algebraic Expressions and Identities

NCERT Solutions for Class 8 Maths Algebraic Expressions and Identities

Class –VIII Mathematics (Ex. 9.1)

NCERT SOLUTION

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 coefficient 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.

NCERT Solutions for Class 8 Maths Exercise 9.1

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  contains 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.

NCERT Solutions for Class 8 Maths Exercise 9.1

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

Hence the sum is

.

NCERT Solutions for Class 8 Maths Exercise 9.1

4. (a) Subtract  from

(b) Subtract  from

(c) Subtract  from

Ans. (a) 

(b)

(c)