Class 8, Maths, Chapter 9, Exercise 9.1, Solutions
Q.1. Identify the terms, their coefficients for each of the following expressions.
(i) 5xyz2-3zy
(ii) 1+x+x2
(iii) 4x2y2-4x2y2z2+z2
(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+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
Ans:
(i) x + y, (Binomials)
(ii) 1000, (Monomials)
(iii) x+x2+x3+x4, (do not fit in any of these three categories)
(iv) 7+y +5x, (Trinomials)
(v) 2y – 3y2 (Binomials)
(vi) 2y – 3y2+ 4y3, (Trinomials)
(vii) 5x – 4y+3xy, (Trinomials)
(viii) 4z –15z2, (Binomials)
(ix) ab+bc+cd+da, (do not fit in any of these three categories)
(x) pqr, (Monomials)
(xi) p2q+pq2, (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) 2p2q2– 3pq + 4, 5+7pq – 3p2q2
(iv) l2+m2, m2+n2, n2+l2, 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 4p2q –3pq+5pq2–8p+7q – 10 from 18 –3p –11q +5pq–2pq2 + 5p2q
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