HBSE 8th Class Maths Solutions Chapter 9 Algebraic Expressions and Identities Ex 9.1

Haryana State Board HBSE 8th Class Maths Solutions Chapter 9 Algebraic Expressions and Identities Ex 9.1 Textbook Exercise Questions and Answers.

Haryana Board 8th Class Maths Solutions Chapter 9 Algebraic Expressions and Identities Exercise 9.1

Question 1.
Identify the terms, their coefficients for each of the following expressions:
(i) 5xyz2 – 3zy
(ii) 1 + x + x2
(iu) 4x2y2 – 4x2y2z2 + z2
(iv) 3 – pq + qr – rp
(v) \(\frac{x}{2}\) + \(\frac{y}{2}\) – xy
(v) 0.3a – 0.6ab + 0.5b.
Solution:
(i) There are two terms; 5xyz2 and -3zy
Coefficient of 5xyz2 = 5
Coefficient of-3zy = -3

(ii) There are three terms; 1, x and x2
Coefficient of x = 1
Coefficient of x2 = 1

(iii) There are three terms; 4x2y2, -4x2y2z2, z2.
Coefficient of 4x2y2 = 4
Coefficient of -4x2y2z2 = -4
Coefficient of z2 = 1

HBSE 8th Class Maths Solutions Chapter 9 Algebraic Expressions and Identities Ex 9.1

(iv) There are four terms; 3, -pq, qr and – rp.
Coefficient of -pq = -1
Coefficient of qr = 1
Coefficient of -rp = -1.

(v) There are three terms; \(\frac{x}{2}\) , \(\frac{y}{2}\), -xy
Coefficient of \(\frac{x}{2}\) = \(\frac{1}{2}\)
Coefficient of \(\frac{y}{2}\) = \(\frac{1}{2}\)
Coefficient of-xy = -1

(vi) There are three terms; 0.3a, -0.6ab, 0.5b.
Coefficient of 0.3a = 0.3
Coefficient of-0.6a6 = -0.6 .
Coefficient of 0.56 = 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.
Solution:
Monomial = 1000, par
Binomial = x + y, 2y – 3y2, 4z – 15z2, p2q + pq2, 2p + 2q
Trinomial = 7 + y + 5x, 2y – 3y2 + 4y3, 5x – 4y + 3xy
Polynomial = x + x2 + x3 + x4, ab + bc + cd + da,

HBSE 8th Class Maths Solutions 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:
(i) Add :
HBSE 8th Class Maths Solutions Chapter 9 Algebraic Expressions and Identities Ex 9.1 1

Question 4.
(a) Subtract 4a – 7ab + 36 + 12 from 12a – 9ab + 5b – 3
(6) Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz
(c) Subtract 4p2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + bp2q.
Solution:
(a)
HBSE 8th Class Maths Solutions Chapter 9 Algebraic Expressions and Identities Ex 9.1 2
HBSE 8th Class Maths Solutions Chapter 9 Algebraic Expressions and Identities Ex 9.1 3

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