Exercise 2.1 Introduction to Algebra - 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

Ex $2.1$
Question $1 .$
Fill in the blanks:
(i) The letters $\mathrm{a}, \mathrm{b}, \mathrm{c}, . ., \mathrm{x}, \mathrm{y}, \mathrm{z}$ are used to represent
(ii) A quantity that takes values is called a variable.
(iii) If there are 5 students on a bench, then the number of students in ' $n$ ' benches is ' $5 \times n$ '. Here is a variable.
Solution:
(i) Variables
(ii) Different
(iii) $\mathrm{n}$

Question $2 .$
Say True or False:

(i) The length of part $B$ in the pencil shown is ' $a-6$ '.
(ii) If the cost of an apple is ' $x$ ' and cost of banana is $₹ 5$, then the total cost of fruits is $₹$ ' $x+5$ '
(iii) If there are 11 players in a team, then there will be '11 + q' players in ' $q$ ' teams.
Solution:
(i) False
Length of $B$ is $6-a$
(ii) True
(iii) False
There will be $11 \mathrm{q}$ players.

Question 3.

Draw the next two patterns and complete the table.

Solution:

Question $4 .$
Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.
(a) a pattern of letter $\mathrm{C}$ as 

(b) the pattern of letter $M$ as

Solution:

If the number C of formed is ‘n’ then the number of ice candy sticks required = 3 × n = 3n.

The number of ice candy sticks required = 4n.

Question 5.

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

Solution

Question $6 .$
Arivazhagan is 30 years younger to his father. Write Arivazhagan's age in terms of his father's age. Solution:
Let Arivazhagan's father's age be $x$ years
According to the problem,
Arivazhagan's age $=(x-30)$ years
 

Question 7 .
If ' $u$ ' is an even number, how would you represent?
(i) the next even number?
(ii) the previous even number?
Solution:
(i) Difference between two even numbers $=2$
Given that ' $\mathrm{u}$ ' is an even number.
Next, even number is $u+2$.
(ii) Previous even number is $u-2$.
 

Objective Type Questions
Question $8 .$
Variable means that it
(a) can take only a few values
(b) has a fixed value
(c) can take different values
(d) can take only 8 values
Solution:
(c) can take different values

Question $9 .$
'6y' means.
(a) $6+\mathrm{y}$
(b) $6-\mathrm{y}$
(c) $6 \times \mathrm{y}$
(d) $\frac{6}{y}$
Solution:
(c) $6 \times \mathrm{y}$
 

Question 10 .
Radha is ' $x$ ' years of age now 4 years ago, her age was
(a) $x-4$
(b) $4-x$
(c) $4+x$
(d) $4 \mathrm{x}$
Solution:
(a) $x-4$

Question $11 .$
The number of days in 'w' weeks is

(a) $30+w$
(b) $30 \mathrm{w}$
(c) $7+w$
(d) $7 \mathrm{w}$
Solution:
(d) $7 \mathrm{w}$
 

Question $12 .$
The value of ' $x$ ' in the circle is
(a) 6
(b) 8
(c) 21
(d) 22
Solution:
(d) 22
$2+2=4,4+3=7,7+4=11,11+5=16,16+6=22$