Match Column I with Column II in the following:
Column I Column II
1. The difference of 3 and a number squared (a) 4 - 2x
2. 5 less than twice a number squared (b) n² - 3
3. Five minus twice the square of a number (c) 2n² - 5
4. Four minus a number multiplied by 2 (d) 5 - 2n²
5. Seven times the sum of a number and 1 (e) 3 - n²
6. A number squared plus 6 (f) 2 (n + 6)
7. 2 times the sum of a number and 6 (g) 7 (n + 1)
8. Three less than the square of a number (h) n² + 6
Solution:
We have to find the correct match of Column I with Column II
Let the number be n
1) The difference of 3 and a number squared
A number squared = n²
Difference of 3 and a number squared = 3 - n²
2) 5 less than twice a number squared
A number squared = n²
Twice a number squared = 2n²
5 less than a number squared = 2n² - 5
3) Five minus twice the square of a number
Square of a number = n²
Twice the square of a number = 2n²
Five minus twice the square of a number = 5 - 2n²
4) Four minus a number multiplied by 2
A number multiplied by 2 = 2n
Four minus a number multiplied by 2 = 4 - 2x
5) Seven times the sum of a number and 1
The sum of a number and 1 = n + 1
Seven times the sum of a number and 1 = 7(n + 1)
6) A number squared plus 6
A number squared = n²
A number squared plus 6 = n² + 6
7) 2 times the sum of a number and 6
Sum of a number and 6 = n + 6
2 times the sum of a number and 6 = 2(n + 6)
8) Three less than the square of a number
Square of a number = n²
Three less than the square of a number = n² - 3
✦ Try This: Write a polynomial that represents the producct of three consecutive odd integers, the first one being (2x-1)
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 98
Match Column I with Column II in the following: 1. The difference of 3 and a number squared (a) 4 - 2x, 2. 5 less than twice a number squared (b) n² - 3, 3. Five minus twice the square of a number (c) 2n² - 5, 4. Four minus a number multiplied by 2 (d) 5 - 2n², 5. Seven times the sum of a number and 1 (e) 3 - n², 6. A number squared plus 6 (f) 2 (n + 6), 7. 2 times the sum of a number and 6 (g) 7 (n + 1), 8. Three less than the square of a number (h) n² + 6
Summary:
The correct match of Column I with Column II is mentioned below:
1. The difference of 3 and a number squared → (e) 3 - n²
2. 5 less than twice a number squared → (c) 2n² - 5
3. Five minus twice the square of a number → (d) 5 - 2n²
4. Four minus a number multiplied by 2 → (a) 4 - 2x
5. Seven times the sum of a number and 1 →(g) 7 (n + 1)
6. A number squared plus 6 → (h) n² + 6
7. 2 times the sum of a number and 6 → (f) 2 (n + 6)
8. Three less than the square of a number → (b) n² - 3
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