Ncert solutions

Ncert solutions

Grade 8

Algebraic Expressions and Identities | Exercise 9.1

Question 1

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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subject-cta

Question 1

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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