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class 8 maths chapter 9 exercise 9.1

Find Solutions to class 8 maths chapter 9 exercise 9.1

 class 8 maths chapter 9 exercise 9.1 (1) 

 Identify the terms, their coefficients for each of the following expressions.

(i) 5xyz²– 3zy   (ii) 1 + x + x ²  (iii) 4x²y²+4x²y²z²+z²  (iv) 3 – pq + qr – rp

(v) (ˣ/₂)+(ʸ/₂)-xy (vi) 0.3a – 0.6ab + 0.5b

Solution to class 8 maths chapter 9 exercise 9.1 (1)

(i) Given expression 5xyz²– 3zy 

Terms 5xyz² and –3zy 

Coefficient in 5xyz² is 5 and in –3zy  is -3

(ii) Terms 1,x and x².

Coefficient of x is 1 and Coefficient of x² is 1 

(iii) Terms 4x²y², -4x²y²z² and z²

Coefficient in 4x²y² is 4, Coefficient in -4x²y²z² is -4, and Coefficient of z² is 1

(iv) Terms 3, -pq, qr and -rp

Coefficient of -pq is -1, Coefficient of qr is 1, and Coefficient of -rp is -1

(v) Terms ; (ˣ/₂), (ʸ/₂) and -xy

Coefficient of (ˣ/₂) is ½, Coefficient of (ʸ/₂) is ½, and Coefficient of -xy is -1

(vi) Terms 0.3a, -0.6ab and 0.5b

Coefficient of 0.3a is 0.3, Coefficient of -0.6ab is -0.6, and Coefficient of  0.5b is 0.5

 class 8 maths chapter 9 exercise 9.1 (2)

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

x + y, 1000, x+x²+x³+x⁴, 7+y+5x, 2y-3y², 2y-3y²+4y³, 5x-4y+3xy, 4z-15z², ab + bc + cd + da, pqr, p²q+pq², 2p+2q

Solution to class 8 maths chapter 9 exercise 9.1 (2)

(i) Since x+y contains two terms. Therefore it is binomial.

(ii) Since 1000 contains one term. Therefore it is monomial.

(iii) Since x+x²+x³+x⁴,  contains Four terms. Therefore it is polynomial and it does not fit in above three categories.

(iv) Since 7+y+5x contains three terms. Therefore it is trinomial.

(v) Since 2y-3y² contains two terms. Therefore it is binomial.

(vi) Since 2y-3y²+4y³ contains three terms. Therefore it is trinomial.

(vii) Since 5x-4y+3xy contains three terms. Therefore it is trinomial.

(viii) Since 4x-15z² contains two terms. Therefore it is binomial.

(ix) Since ab+bc+cd+da,  contains Four terms. Therefore it is polynomial and it does not fit in above three categories.

(x)  Since pqr contains one term. Therefore it is monomial.

(xi) Since p²q+pq² contains two terms. Therefore it is binomial.

(xii) Since 2p+2q contains two terms. Therefore it is binomial.

class 8 maths chapter 9 exercise 9.1 (3)

3. Add the following.

(i) ab-bc, bc-ca, ca-ab  (ii)a-b+ab, b-c+bc, c-a+ac 

(iii) 2p²q²-3pq+4, 5+7pq-3p²q²  (iv) l²+m², m²+n², n²+l², 2lm+2mn+2nl

Solution to class 8 maths chapter 9 exercise 9.1 (3).

(i) ab-bc, bc-ca, ca-ab

ab – bc

      +bc – ca

-ab        +ca


0 +  0  +  0


(ii) a-b+ab, b-c+bc, c-a+ac

 a – b + ab

     +b          -c + bc

-a               +c        +ac


0  +0 +ab +0 +bc+ac


(iii) 2p²q²-3pq+4, 5+7pq-3p²q²

 2p²q²  –  3pq + 4,

-3p²q² + 7pq  + 5


-p²q²   + 4pq  + 9


(iv) l²+m², m²+n², n²+l², 2lm+2mn+2nl

   l² + m²

       + m² +  n²

+l²            + n²

+                            2lm + 2mn + 2nl


2l² + 2m² + 2n² + 2lm + 2mn + 2nl


class 8 maths chapter 9 exercise 9.1 (4)

4. (a) Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3 

(b) Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz 

(c) Subtract 4p ²q – 3pq + 5pq²– 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq²+ 5p²q

Solution to class 8 maths chapter 9 exercise 9.1 (4).

(a)

    12a – 9ab + 5b – 3 

     4a –   7ab +  3b + 12

(-)         (+)      (-)      (-)


8a     –   2ab   + 2b  – 15


(b) 

       5xy –  2yz  – 2zx + 10xyz

       3xy + 5yz – 7zx

(-)           (-)         (+)


      2xy – 7yz +  5zx + 10xyz


(c) 

5p²q – 2pq² + 5pq – 11q – 3p + 18

4p²q + 5pq² – 3pq + 7q –  8p –   10

(-)       (-)       (+)       (-)     (+)     (+)


p²q – 7pq² + 8pq – 18q +5p +28


 

 

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