Additional Questions - Chapter 2 Introduction to Algebra Term 1 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Additional Questions
Question 1 .
Additive identity
Solution:
0

Question 2 .
Multiplicative identity
Solution:
1
 

Question $3 .$
Express to an algebraic statement.
(i) ' $\mathrm{t}$ ' is added to 100
(ii) 4 less to 9 times of $y$.
Solution:
(i) $t+100$
(ii) $9 \mathrm{y}-4$

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 $2 \mathrm{n}$ 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 ₹ ' $\mathrm{p}$ ' Express algebraically.
Solution:
Price of cool drinks per kg = ₹ $\mathrm{p}$
Three times $=3 \mathrm{p}$
5 Rs. more $=3 \mathrm{p}+5$
Price of oil per kg $=₹(3 \mathrm{p}+5)$

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) $10-2 x$
 

Question 11.
Give verbal expression of
(a) $7 \mathrm{x}+18$
(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:
$3 x+5$

Question $13 .$

Find the rule for the above pattern.
Solution:
$2 \mathrm{p}$

Question $14 .$
Prepare a table for $3 x+10$. From the table find the value of $x$ when $3 x+10=25$.
Solution:
5

Question $15 .$
Complete the table and find the solution of the equation $\frac{z}{3}=4$ using the table.

Solution:
$\frac{13}{3}, \frac{14}{3}, 5$ and $\frac{z}{3}=4$ when $z=12$.
 

Question 16 .
Form the expression for which Ramu is 3 years younger than Mathu.
Solution:
$\mathrm{m}-3$
 

Question 17 .
A tap is to be pasted along the edges of a square shaped gift box. Its length is $4 \mathrm{~cm}$. What is the length of
tap needed for one side.
Solution:
$\frac{4 p}{4}=p$
 

Question 18 .
The value of $\mathrm{y}$ in $7 \mathrm{y}-20=99$.
Solution:
$\mathrm{y}=17$
 

Question 19 .
Nine added to two times $\mathrm{x}$ gives 301 . Find the value of $\mathrm{x}$.
Solution:
$\mathrm{x}=146$

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., $x+(x-3)=23$