Algebraic Expressions and Identities - Solutions 1

Algebraic Expressions and Identities - Solutions 1

CBSE Class –VIII Mathematics
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

Ans. (a)

(b)

(c)