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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 |
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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:
- Let the number be n
So, according to the statements, we can write the equation = 3 – n2. - Let the number be n
So, the equation is 2n2 – 5. - Let the number be n
So, the equation is 5 – 2n2. - Let the number be x
So, the equation is 4 – 2x. - Let the number be n
So, the equation is 7(n + 1). - Let the number be n
So, the equation is n2 + 6. - Let the number be n
So, the equation is 2(n + 6). - Let the number be n
So, the equation is n2 – 3.
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