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

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

Question 1.
Identify the terms, their coefficients for each of their following expressions.
(i) 5xy2 – 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
Solution:
KSEEB Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 Q1

Question 2.
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
x + y, 100, x + x2 + x3 + x4, 7 + y5x, 2y – 3y2, 2y – 3y2 + 4y3, 5x – 4y + 3xy, 4z – 15z2, ab + bc + cd + da, pqr, p2q + pq2, 2p + 2q
Solution:
Monomials = 100, pqr
Binomials = x + y, 2y – 3y2, 4z – 15z2, p2q + pq2, 2p + 2q
Trinomials = 7 + y 5x, 2y – 3y2, 4y3, 5x – 4y + 3xy
Polynomials = x + x2 + x3 + x4, ab + bc + cd + da

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

Question 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:
KSEEB Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 Q3

Question 4.
(a) Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3.
(b) Subtract 4xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz.
(c) Subtract 4p2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + 5p2q.
Solution:
KSEEB Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 Q4