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NCERT Solutions Class 8 Mathematics Solutions for Exercise 9.1 in Chapter 9 - Algebraic Expressions and Identities
Q1) Identify the terms, their coefficients for each of the following expressions:
(i) 5xyz^2-3zy
(ii) 1+x+x^2
(iii) 4x^2y^2-4x^2y^2z^2+z^2
(iv) 3-pq+qr-rp
(v) \frac{x}{2}+\frac{y}{2}-xy
(vi) 0.3a-0.6ab+0.5b
Solution:
(i) Terms: 5xyz^2\ and\ -3zy
Coefficient in 5xyz^2 is 5 and in -3zy is -3
(ii) Terms: 1,\ x\ and\ x^2
Coefficient of x and coefficient of x^2 is 1.
(iii) Terms: 4x^2y^2,\ -4x^2y^2z^2\ and\ z^2
Coefficient in 4x^2y^2 is 4, coefficient of -4x^2y^2z^2 is -4 and coefficient of z^2 is 1.
(iv) Terms: 3,\ -pq,\ qr\ and\ \ -rp
Coefficient of -pq is -1, coefficient of qr is 1 and coefficient of -rp is -1.
(v) Terms: \frac{x}{2},\frac{y}{2}and\ -xy
Coefficient of \frac{x}{2}is\frac{1}{2} coefficient of \frac{y}{2}is\frac{1}{2} and coefficient of -xy\ is\ -1
(vi) Terms: 0.3a,\ -0.6ab\ and\ 0.5b
Coefficient of 0.3a is 0.3, coefficient of -0.6ab\ is\ -0.6 and coefficient of 0.5b\ is\ 0.5
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