Introduction to Linear Polynomials-Exercise Set 2.2 Mathematics Ganita Manjari Class 9 In English
Last Updated : 17 May 2026
Explore NCERT Solutions for Class 9 mathematics ganita manjari Chapter Introduction to Linear Polynomials Topic Exercise Set 2.2 with simple explanations and free ncert solution in English.
Class 9 mathematics ganita manjari Introduction to Linear Polynomials Exercise Set 2.2 NCERT Solutions
Last Updated : 17 May 2026
Introduction to Linear Polynomials-Exercise Set 2.2 Mathematics Ganita Manjari Class 9 In English
Introduction to Linear Polynomials
Exercise Set 2.2
Q1. Find the value of the linear polynomial 5x – 3 if:
(i) x = 0 (ii) x = –1 (iii) x = 2
Solutions:
P(x) = 5x - 3
(i) x = 0
P(0) = 5(0) - 3
= 0 - 3
= - 3 Ans
(ii) x = -1
P(-1) = 5(-1) - 3
= -5 - 3
= - 8 Ans
(iii) x = 2
P(2) = 5(2) - 3
= 10 - 3
= 7 Ans
Q2. Find the value of the quadratic polynomial 7s2 – 4s + 6 if:
(i) s = 0 (ii) s = –3 (iii) s = 4
Solution:
P(s) = 7s2 - 4s + 6
(i) s = 0
P(0) = 7(0)2 - 4(0) + 6
= 0 - 0 + 6
= 6 Ans
(ii) s = –3
P(–3) = 7(–3)2 - 4(–3) + 6
= 63 + 12 + 6
= 81 Ans
(iii) s = 4
P(4) = 7(4)2 - 4(4) + 6
= 112 - 16 + 6
= 118 - 16
= 102 Ans
Q3. The present age of Salil’s mother is three times Salil’s present age. After 5 years, their ages will add up to 70 years. Find their present ages.
Solution:
Let the Salil's present Age be x
Salil's Mother present age = 3x
After 5 years
Salil's age = x + 5
Salil's mother age = 3x + 5
So,
Therefore, Salil's Present Age = 15 years
Salil's Mother Present Age = 3 x 15 = 45 years
Q4. The difference between two positive integers is 63. The ratio of the two integers is 2:5. Find the two integers.
Solution:
Ratio of the two integers = 2 : 5
Let the first integer be 2x
And the second integer be 5x
So, 5x - 2x = 63
3x = 63
x = 63/3
x = 21
The first integer = 2 x 21 = 42
The second integer = 5 x 21 = 105
Q5. Ruby has 3 times as many two-rupee coins as she has five rupee-coins. If she has a total 88, how many coins does she have of each type?
Solution:
Let the number of five-rupee coins be x.
Then, the number of two-rupee coins will be 3x.
Value of five-rupee coins = 5x
Value of two-rupee coins = 2(3x)
According to the question:
5x + 2(3x) = 88
Now solve:
5x + 6x = 88
11x = 88
x = 88/11
x = 8
So, number of five-rupee coins = 8
Number of two-rupee coins = 3 × 8 = 24
Therefore:
Five-rupee coins = 8
Two-rupee coins = 24
Q6. A farmer cuts a 300 feet fence into two pieces of different sizes. The longer piece is four times as long as the shorter piece. How long are the two pieces?
Solution:
Let the length of the shorter piece be x feet.
Then, the length of the longer piece will be 4x feet.
According to the question:
x + 4x = 300
Now solve:
5x = 300
x = 300/5
x = 60
So, length of the shorter piece = 60 feet
Length of the longer piece = 4 × 60
= 240 feet
Therefore:
Shorter piece = 60 feet
Longer piece = 240 feet
Q7. If the length of a rectangle is three more than twice its width and its perimeter is 24 cm, what are the dimensions of the rectangle?
Solution:
Let the width of the rectangle be x cm.
Then, the length of the rectangle will be 2x + 3 cm.
Perimeter of rectangle = 2(length + width)
According to the question:
2[(2x + 3) + x] = 24
Now solve:
2(3x + 3) = 24
6x + 6 = 24
6x = 24 − 6
6x = 18
x = 18/6
x = 3
So, width of the rectangle = 3 cm
Length of the rectangle = 2(3) + 3
= 6 + 3
= 9 cm
Therefore:
Width = 3 cm
Length = 9 cm
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NCERT Solutions for Class 9 mathematics ganita manjari Chapter Introduction to Linear Polynomials Topic Exercise Set 2.2
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Introduction to Linear Polynomials-Exercise Set 2.2 Mathematics Ganita Manjari Class 9 In English
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