NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

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 Board                    CBSE

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TextBook                NCERT

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CLASS                    Class 8

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SUBJECT                 Maths

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CHAPTER               Chapter 9

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SUBJECT           Algebraic Expressions and Identities                       

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Visit        NCERT SOLUTIONS 

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 Class 8 Maths Algebraic Expressions and Identities Exercise 9.1

Class 8 Maths Algebraic Expressions and Identities Exercise 9.2

Class 8 Maths Algebraic Expressions and Identities Exercise 9.3

Class 8 Maths Algebraic Expressions and Identities Exercise 9.4

Class 8 Maths Algebraic Expressions and Identities Exercise 9.5

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 NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 with Answers

Question 1.

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

(i) 5xyz²−3zy

(ii) 1+x+x²

(iii) 4x²y2²−4x²y²z²+z²

(iv) 3 – pq + qr – rp

(v) x²+y²−xy

(vi) 0.3a – 0.6ab + 0.5b.

Solution.

(i) 5xyz²−3zy

Terms	Coefficient
5xyz²	5
-3zy	-3

(ii) 1+x+x²

Terms	Coefficient
1	1
x	1
x²	1

(iii) 4x²y2²−4x²y²z²+z²

Terms	Coefficient
4x²y2²	4
−4x²y²z²	-4
z²	1

(iv) 3 – pq + qr – rp

Terms	Coefficient
3	3
-pq	-1
qr	1
-rp	-1

(v) x²+y²−xy

Terms	Coefficient
x²	1
y²	1
-xy	-1

(vi) 0.3a – 0.6ab + 0.5b

Terms	Coefficient
0.3a	0.3
– 0.6ab	-0. 6
+ 0.5b	0.5

Question 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

Solutions: 

Algebraic Expression	Type of Polynomial
x + y	Binomials
1000	Monomial
x + x² + x³ + x4	Polynomials
7 + y + 5x	Trinomials
2y – 3y²	Binomials
2y – 3y² + 4y³	Trinomials
5x – 4y + 3xy	Trinomials
4z – 15z²	Binomials
ab + bc + cd + da, pqr, p²q + pq²	Polynomial
2p + 2q	Binomials

Question 3.

Add the following.

(i) ab – be, be – ca, ca – ab

(ii) a -b + ab, b – c + be, c – a + ac

(iii) 2p²q²−3pq+4, 5+7pq−3p²q²

(iv) l²+m², m²+n², n²+l²,  2lm + 2mn + 2nl.

Solution: 

(i) ab – be, be – ca, ca – ab

         ab      - be

  (+)               be           - ca

  (+)   -ab                      +ca

0    +     0      +      0

Ans: 0

(ii) a -b + ab, b – c + be, c – a + ac

          a    -    b    +   ab

(+)                 b                -   c    +  be

(+)    -a                             + c               +  ac

0    +    0      + ab    +  0     + be   +  ac

Ans:  ab + be + ac

(iii) 2p²q²−3pq+4,  5+7pq−3p²q²

         2p²q²  −  3pq  +  4

(+)   -3p²q²  +  7pq  +  5

-p²q²    +   4pq  +  9

Ans: -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

Ans: 2l²  + 2m² + 2n² + 2lm + 2mn  + 2nl

Question 4.

(a) Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 56 – 3

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

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

Solution: (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. 

           18−3p−11q+5pq−2pq²+5p²q

          -10-8p+ 7q  -3pq+5pq²+4p²q

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

28 +5p -18q +8pq -7pq²   +p²q

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 with Answers