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Toggle## Class 8, Maths, Chapter 9, Exercise 9.1, Solutions

**Q.1. Identify the terms, their coefficients for each of the following expressions.**

**(i) 5xyz ^{2}-3zy**

**(ii) 1+x+x ^{2}**

**(iii) 4x ^{2}y^{2}-4x^{2}y^{2}z^{2}+z^{2}**

**(iv) 3-pq+qr-rp**

**(v) $\frac{x}{2}+\frac{y}{2}-xy$**

**(vi) 0.3a-0.6ab+0.5b**

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

**x + y, **

**1000,**

**x+x ^{2} + x^{3}+x^{4},**

**7+y+5x,**

**2y – 3y ^{2},**

**2y – 3y ^{2}+ 4y^{3},**

**5x – 4y+3xy,**

**4z –15z ^{2},**

**ab+bc+cd+da, **

**pqr,**

**p ^{2}q +pq^{2},**

**2p+2q**

**Ans: **

(i) x + y, (Binomials)

(ii) 1000, (Monomials)

(iii) x+x^{2}+x^{3}+x^{4}, (do not fit in any of these three categories)

(iv) 7+y +5x, (Trinomials)

(v) 2y – 3y^{2} (Binomials)

(vi) 2y – 3y^{2}+ 4y^{3}, (Trinomials)

(vii) 5x – 4y+3xy, (Trinomials)

(viii) 4z –15z^{2}, (Binomials)

(ix) ab+bc+cd+da, (do not fit in any of these three categories)

(x) pqr, (Monomials)

(xi) p^{2}q+pq^{2}, (Binomials)

(xii) 2p+2q (Binomials)

**Q.****3. Add the following.**

**(i) ab –bc,bc –ca,ca –ab **

**(ii) a–b+ab,b –c+bc,c –a+ac**

**(iii) 2p ^{2}q^{2}– 3pq + 4, 5+7pq – 3p^{2}q^{2} **

**(iv) l ^{2}+m^{2}, m^{2}+n^{2}, n^{2}+l^{2}, 2lm+2mn+2nl**

**Q.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 ^{2}q –3pq+5pq^{2}–8p+7q – 10 from 18 –3p –11q +5pq–2pq^{2} + 5p^{2}q**

## NCERT Solutions For Class 8 Maths Chapter 9, Algebraic Expressions and Identities (All Exercises)

**Class 8, Maths, Chapter 9, Algebraic Expressions and Identities **

**Class 8, Maths, Chapter 9, Algebraic Expressions and Identities , Exercise 9.1** **← You are here**

**Class 8, Maths, Chapter 9, Algebraic Expressions and Identities , Exercise 9.2**

**Class 8, Maths, Chapter 9, Algebraic Expressions and Identities , Exercise 9.3**

**Class 8, Maths, Chapter 9, Algebraic Expressions and Identities , Exercise 9.4**

**Class 8, Maths, Chapter 9, Algebraic Expressions and Identities , Exercise 9.5**