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Chapters
▶ 2: Introduction to Algebra
3: Ratio and Proportion
4: Geometry
5: Statistics
6: Information Processing
![Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 6 TN Board chapter 2 - Introduction to Algebra - Shaalaa.com](/images/mathematics-term-1-english-class-6-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg "Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 6 TN Board chapter 2 - Introduction to Algebra")
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Solutions for Chapter 2: Introduction to Algebra
Below listed, you can find solutions for Chapter 2 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 1 [English] Class 6 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 6 TN Board 2 Introduction to Algebra Exercise 2.1 [Pages 40 - 41]
Fill in the blanks
The letters a, b, c, … x, y, z are used to represent __________
The algebraic statement of ‘f decreased by 5’ is ____________
The algebraic statement of ‘s divided by 5’ is ____________
If A’s age is ‘n’ years now, 7 years ago A’s age was _____________
If ‘p − 5’ gives 12 then ‘p’ is _____________
Say True or False.
The length of part B in the pencil shown is ‘a − 6’
True
False
If the cost of an 
is ‘x’ and the cost of a 
is ₹ 5, then the total cost of fruits is ₹ 'x + 5'
True
False
10 more to three times 'c' is '10c + 3'
True
False
If the cost of 10 rice bags is ₹ ‘t’, then the cost of 1 rice bag is ₹ `("‘t'")/10`
True
False
The product of ‘q’ and 20 is '20q'
True
False
Draw the next two patterns and complete the table.
| Shapes | 1st Pattern |
2nd Pattern |
3rd Pattern |
4th Pattern |
5th Pattern |
| Squares | 1 | 2 | 3 | ||
| Circles | 1 | 2 | 3 | ||
| Triangles | 2 | 4 | 6 |
Arivazhagan is 30 years younger to his father. Write Arivazhagan’s age in terms of his father’s age
If ‘u’ is an even number, how would you represent the next even number?
If ‘u’ is an even number, how would you represent the previous even number?
Express the following verbal statement to algebraic statement
‘t’ is added to 100
Express the following verbal statement to algebraic statement
4 times ‘q’
Express the following verbal statement to algebraic statement
4 less to 9 times of ‘y’
Express the following algebraic statement to verbal statement
x ÷ 3
Express the following algebraic statement to verbal statement
11 + 10x
Express the following algebraic statement to verbal statement
70s
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 the following questions
If ‘g’ is equal to 300 what is the value of ‘g – 1’ and ‘g + 1’?
What is the value of ‘s’, if ‘2s – 6’ gives 30?
Complete the table and find the value of ‘k’ for which `("‘k'")/3` gives 5.
| K | 3 | 6 | 9 | 12 | 15 | 18 |
| `"k"/3` | 1 | 2 |
Objective Type Questions
Variable means that it ______.
Can take only a few values
Has a fixed value
Can take different values
Can take only 2 values
The number of days in ‘w’ weeks is
30 + w
30w
7 + w
7w
The value of ‘x’ in the circle is
6
8
21
22
The value of ‘y’ in y + 7 = 13 is
y = 5
y = 6
y = 7
y = 8
6 less to ‘n’ gives 8 is represented as
n – 6 = 8
6 – n = 8
8 – n = 6
n – 8 = 6
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 6 TN Board 2 Introduction to Algebra Exercise 2.2 [Pages 42 - 44]
Miscellaneous Practice Problems
Complete the following pattern.
9 – 1 =
98 – 21 =
987 – 321 =
9876 – 4321 =
98765 – 54321 =
What comes next?
A piece of wire is ‘12s’ cm long. What will be the length of the side, if it is formed as an equilateral triangle
A piece of wire is ‘12s’ cm long. What will be the length of the side, if it is formed as a square
Identify the value of the shapes and figure in the table given below and verify their addition horizontally and vertically.
The table given below shows the results of the matches played by 8 teams in a Kabaddi championship tournament.
| Teams | A | B | C | D | E | F | G | H |
| Total Matches played | 8 | 7 | n | a | 9 | 10 | 8 | y |
| Matches won | 5 | 6 | 4 | 7 | b | 6 | x | 3 |
| Matches lost | k | m | 6 | 2 | 3 | c | 4 | 6 |
Find the value of all the variables in the table given above
Challenging Problems
Gopal is 8 years younger to Karnan. If the sum of their ages is 30, how old is Karnan?
The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below
(i) How many small size squares are there in each of the rectangles P, Q, R and S?
(ii) Fill in the boxes
| Rectangle | P | Q | R | S | T |
| Number of small size squares along the breadth | 2 | 2 | ? | 2 | 2 |
| Number of squares along the length | 1 | 4 | 3 | ? | x |
| Total number of squares in rectangle | ? | 8 | ? | 10 | ? |
Find the variables from the clues given below and solve the cross-word puzzle.
| Across | Down |
| x + 40 gives 100 | x is 1005 multiplied by 6 |
| 7 reduced from t gives 31 | t ÷ 7 = 5 |
| z is 5 added 5 times | p is the predecessor of first 3 digit number |
| v is the whole number zero plus number of days in a ordinary year | z is the number of weeks in a year (digits reversed) |
| k is 24 added to 25 | k is 11 times 4 |
| u is 2 added to two times 11 gives the number of hours in a day | u is product of 23 and 9 |
| a is 20 more to 40 | a is 4 added to the product of 12 and 5 |
| s minus 1 gives 246 is the number of letters in Tamil language | m is the successor of 9 |
Solutions for 2: Introduction to Algebra
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 6 TN Board chapter 2 - Introduction to Algebra
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Concepts covered in Mathematics - Term 1 [English] Class 6 TN Board chapter 2 Introduction to Algebra are The Solution of an Equation, Introduction to Algebra, Variable of Equation, Expressions with Variables.
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