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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 - Mathematics

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Question

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
Match the Columns

Solution

Column I Column II
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

Explanation:

  1. Let the number be n
    So, according to the statements, we can write the equation = 3 – n2.
  2. Let the number be n
    So, the equation is 2n2 – 5.
  3. Let the number be n
    So, the equation is 5 – 2n2.
  4. Let the number be x
    So, the equation is 4 – 2x.
  5. Let the number be n
    So, the equation is 7(n + 1).
  6. Let the number be n
    So, the equation is n2 + 6.
  7. Let the number be n
    So, the equation is 2(n + 6).
  8. Let the number be n
    So, the equation is n2 – 3.
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Chapter 10: Algebraic Expressions - Exercise [Page 328]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 10 Algebraic Expressions
Exercise | Q 98. | Page 328

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