Question 1

Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.

Accepted Answer

(a) No of ice candy sticks used = 3 × n = 3n (b) No of ice candy sticks used = 4 × n = 4n

Question 2

The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups?

Accepted Answer

No of students in a group = 5 No of students in ‘p’ groups = 5 × p = 5p

Question 3

Arivazhagan is 30 years younger than his father. Write Arivazhagan’s age in terms of his father’s age.

Accepted Answer

Let Arivazhagan’s father’s age be x years According to the problem, Arivazhagan’s age = (x – 30) years

Question 4

If ‘u’ is an even number, how would you represent (i) the next even number? (ii) the previous even number?

Accepted Answer

(i) Difference between two even numbers = 2 Given that ‘u’ is an even number. Next, the even number is u + 2. (ii) Previous even number is u – 2. Objective Type Questions

Question 5

Variable means that it

Accepted Answer

(c) can take different values

Question 6

Radha is ‘x’ years of age now. 4 years ago, her age was

Accepted Answer

(a) x – 4

Question 7

The number of days in ‘w’ weeks is

Accepted Answer

(d) 7w

Question 8

Find in the blanks. (i) The algebraic statement of ‘f’ decreased by 5 is _______ (ii) The algebraic statement of ‘s’ divided by 5 is _______ (iii) The verbal statement of ‘2m – 10’ is _______ (iv) If A’s age is ‘n’ years now, 7 years ago A’s age was ______ (v) If ‘p – 5’ gives 12 then ‘p’ is ______

Accepted Answer

(i) f – 5 (ii) \frac { s }{ 5 } (iii) 10 less than 2 times m (or) Take away 10 from the product of 2 and m (iv) n – 7 (v) 17 Hint: p – 5 = 12 ⇒ n = 12 + 5 = 17

Question 9

Say True or False. (i) 10 more to three times ‘c’ is ‘3c + 13’. (ii) If the cost of 10 rice bags is ‘t’, then the cost of 1 rice bag is \frac { t }{ 10 } (iii) The statements ‘x’ divided by 3 and 3 divided by ‘x’ are the same. (iv) The product of ‘q’ and 20 is ’20q’ (v) 7 less to 7 times ‘y’ is ‘7 – 7y’

Accepted Answer

(i) False Hint: 3c + 10 (ii) True (iii) False (iv) True (v) False Hint: 7y – 7

Question 10

Express the following verbal statement to an algebraic statement. (i) ‘t’ is added to 100 (ii) 4 times ‘q’ (iii) 8 is reduced by ‘y’ (iv) 56 added to 2 times ‘x’ (v) 4 less to 9 times of ‘y’

Accepted Answer

(i) t + 100 (ii) 4q (iii) 8 – y (iv) 2x + 56 (v) 9y – 4

Question 11

Express the following algebraic statement to a verbal statement. (i) x ÷ 3 (ii) 5n – 12 (iii) 11 + 10x (iv) 70s

Accepted Answer

(i) x divided by 3. (ii) 12 less to 5 times n. (iii) 11 added to 10 times x (iv) 7 times s.

Question 12

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?

Accepted Answer

Let the number be x; 8 more than the number = 8 + x. Vetri gave the correct answer as 8 + x.