Exercise 2.2 Questions with Answers & Solutions
(i) The algebraic statement of ‘f ’ decreased by 5 is f − 5.
(ii) The algebraic statement of ‘s’ divided by 5 is s / 5.
(iii) The verbal statement of '2m − 10' is 10 less to 2 times ‘m’.
(iv) If A’s age is ‘n’ years now, 7 years ago A’s age was n − 7.
(v) If ‘p − 5’ gives 12 then ‘p’ is 17.
(i) 10 more to three times 'c' is '3c + 13' [False]
(ii) If the cost of 10 rice bags is ₹ ‘t’, then the cost of 1 rice bag is ₹ ‘t’/10. [True]
(iii) The statements ‘x’ divided by 3 and 3 divided by ‘x’ are the same. [False]
(iv) The product of ‘q’ and 20 is '20q'. [True]
(v) 7 less to 7 times ‘y’ is '7 − 7y'. [False]
(i) ‘t’ is added to 100.
Answer: t + 100
(ii) 4 times ‘q’.
Answer: 4q
(iii) 8 reduced by ‘y’.
Answer: 8 − y
(iv) 56 added to 2 times ‘x’.
Answer: 56 + 2x
(v) 4 less to 9 times of ‘y’.
Answer: 9y − 4
(i) x ÷ 3
Answer: x divided by 3
(ii) 5n − 12
Answer: 12 less to 5 times n
(iii) 11 + 10x
Answer: 11 added to 10 times x
(iv) 70s
Answer: product of 70 and s
The teacher asked two students to write the algebraic statement for the verbal statement “8 more than a number”. Vetri wrote ‘8 + x’ but Maran wrote ‘8x’. Who gave the correct answer?
Answer: Vetri gave the correct answer
(i) If ‘n’ takes the value 3 then find the value of ‘n + 10’?
(ii) If ‘g’ is equal to 300 what is the value of ‘g − 1’ and ‘g + 1’?
g = 300
g − 1 = 300 − 1 = 299
g + 1 = 300 + 1 = 301
(iii) What is the value of ‘s’, if '2s − 6' gives 30?
2s − 6 = 30
2s = 30 + 6
2s = 36
s = 36/2 = 18
s = 18
Complete the table and find the value of ‘k’ for which ‘k’/3 gives 5.
Answer: The value of ‘k’ is 15.
8. The value of ‘y’ in y + 7 = 13 is
Solution: y = 13 − 7 = 6
9. 6 less to ‘n’ gives 8 is represented as
Answer: (a) n − 6 = 8
10. The value of ‘c’ for which \( \frac{3c}{4} \) gives 18 is
Solution:
\( \frac{3c}{4} = 18 \)
3c = 4 × 18
c = \( \frac{4 \times 18}{3} \)
c = 4 × 6
c = 24