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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 2 Introduction to Algebra Additional

Questions

Question 1.

Additive identity ____

Solution:

0

Question 2.

Multiplicative identity ____

Solution:

1

Question 3.

Express to an algebraic statement.

(i) ‘t’ is added to 100

(ii) 4 less to 9 times of y.

Solution:

(i) t + 100

(ii) 9y – 4

Question 4.

Find the rule which gives the number of sticks in the following pattern.

Solution:

Let ‘x’ be the no. of R’s formed.

The rule is 6x.

Let y ’ be the no. of S’s formed.

The rule is 5y.

Question 5.

How old was Suja 6 years from now?

Solution:

Let Suja’s present age be ‘a’ years.

6 years from now Suja will be (a + 6) years old.

Question 6.

Price of Apple per kg is ₹ 50 more than price of orange per kg. What is the cost of Apple per kg?

Solution:

Let the price of orange be ₹ b

Price of Apple will be ₹ (b + 50)

Question 7.

Given ‘n’ students like ice cream. What may 2n show?

Solution:

2n shows double the number of students who like ice cream.

Question 8.

Price of oil per litre is ₹ 5 more than three times the price of cool drinks ₹ ‘p’ Express algebraically.

Solution:

Price of cool drinks per kg = ₹ p

Three times = 3p

5 Rs. more = 3p + 5

Price of oil per kg = ₹ (3p + 5)

Question 9.

Complete the table and by inspection of the table find the value of m when m + 10 = 16.

Solution:

From the table m+ 10 = 16 when m = 6.

Question 10.

Express algebraically (a) y divided by r (b) double times x is subtracted from 10

Solution:

(a) \(\frac{y}{r}\)

(b) 10 – 2x

Question 11.

Give verbal expression of

(a) 7x + 18

(b) \(\frac{4 x}{3}\)

Solution:

(a) 18 added to 7 times x

(b) 4 times x divided by 3.

Question 12.

Rajini’s Father’s age is 5 years more than 3 times Rajini’s age. What is her father’s age?

Solution:

3x + 5

Question 13.

Find the rule for the above pattern.

Solution:

2p

Question 14.

Prepare a table for 3x + 10. From the table find the value of x when 3x + 10 = 25.

Solution:

5

Question 15.

Complete the table and find the solution of the equation \(\frac{z}{3}=4\) using the table.

Solution:

Question 16.

Form the expression for which Ramu is 3 years younger than Mathu.

Solution:

m – 3

Question 17.

A tap is to be pasted along the edges of a square shaped gift box. Its length is 4 cm. What is the length of tap needed for one side.

Solution:

\(\frac{4 p}{4}=p\)

Question 18.

The value of y in 7y – 20 = 99.

Solution:

y = 17

Question 19.

Nine added to two times x gives 301. Find the value of x.

Solution:

x = 146

Question 20.

Aarthi is 3 years younger to Harini. If the sum of their ages is 23, how old is Harini?

Solution:

Let Harini’s age be x years

Aarthi’s age is x – 3 years

Given sum of their ages is 23.

i.e., x + (x – 3) = 23