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![Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board chapter 3 - Algebra Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board chapter 3 - Algebra - Shaalaa.com](/images/mathematics-term-1-english-class-7-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
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Solutions for Chapter 3: Algebra
Below listed, you can find solutions for Chapter 3 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 1 [English] Class 7 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board 3 Algebra Exercise 3.1 [Pages 57 - 58]
Fill in the blanks:
The variable in the expression 16x – 7 is __________
The constant term of the expression 2y – 6 is _________
In the expression 25m + 14n, the type of the terms are ________ terms
The number of terms in the expression 3ab + 4c – 9 is __________
The numerical co-efficient of the term −xy is __________
Say True or False
x + (−x) = 0
True
False
The co-efficient of ab in the term 15 abc is 15
True
False
2pq and – 7qp are like terms
True
False
When y = –1, the value of the expression 2y – 1 is 3
True
False
Find the numerical co-efficient of the following term:
−3yx
Find the numerical co-efficient of the following term:
12k
Find the numerical co-efficient of the following term:
y
Find the numerical co-efficient of the following term:
121bc
Find the numerical co-efficient of the following term:
– x
Find the numerical co-efficient of the following term:
9pq
Find the numerical co-efficient of the following term:
2ab
Write the variables, constant and terms of the following expression
18 + x – y
Write the variables, constant and terms of the following expression
7p – 4q + 5
Write the variables, constant and terms of the following expression
29x + 13y
Write the variables, constant and terms of the following expression
b + 2
Identify the like terms among the following:
7x, 5y, −8x, 12y, 6z, z, −12x, −9y, 11z
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
If x = 2 and y = 3, then find the value of the following expressions
x + y
If x = 2 and y = 3, then find the value of the following expressions
4y – x
If x = 2 and y = 3, then find the value of the following expressions
x + 1 – y
Objective type questions
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
3(x + y)
3 + x + y
3x + y
3 + xy
The numerical co-efficient of −7mn is
7
−7
p
−p
Choose the pair of like terms
7p, 7x
7r, 7x
– 4x, 4
– 4x, 7x
The value of 7a – 4b when a = 3, b = 2 is
21
13
8
32
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board 3 Algebra Exercise 3.2 [Page 63]
Fill in the blanks
The addition of – 7b and 2b is ____________
The subtraction of 5m from −3m is _____________
The additive inverse of −37xyz is ___________
Say True or False
The expressions 8x + 3y and 7x + 2y cannot be added
True
False
If x is a natural number, then x + 1 is its predecessor
True
False
Sum of a – b + c and – a + b – c is zero
True
False
Add: 8x, 3x
Add: 7mn, 5mn
Add: −9y, 11y, 2y
Subtract: 4k from 12k
Subtract: 15q from 25q
Subtract: 7xyz from 17xyz
Find the sum of the following expressions
7p + 6q, 5p – q, q + 16p
Find the sum of the following expressions
a + 5b + 7c, 2a + 10b + 9c
Find the sum of the following expressions
mn + t, 2mn – 2t, – 3t + 3mn
Find the sum of the following expressions
u + v, u – v, 2u + 5v, 2u – 5v
Find the sum of the following expressions
5xyz – 3xy, 3zxy – 5yx
Subtract: 13x + 12y – 5 from 27x + 5y – 43
Subtract: 3p + 5 from p – 2q + 7
Subtract: m + n from 3m – 7n
Subtract: 2y + z from 6z – 5y
Simplify: (x + y – z) + (3x – 5y + 7z) – (14x + 7y – 6z)
Simplify: p + p + 2 + p + 3 + p – 4 – p – 5 + p + 10
Simplify: n + (m + 1) + (n + 2) + (m + 3) + (n + 4) + (m + 5)
Objective type questions
The addition of 3mn, – 5mn, 8mn and – 4mn is
mn
– mn
2mn
3mn
When we subtract ‘a’ from ‘−a’, we get __________
0
2a
−2a
−a
In an expression, we can add or subtract only ________
Like terms
Unlike terms
All terms
None of the above
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board 3 Algebra Exercise 3.3 [Pages 68 - 69]
Fill in the blanks
An expressions equated to another expression is called ____________
If a = 5, the value of 2a + 5 is ____________
The sum of twice and four times of the variable x is __________
Say True or False
Every algebraic expression is an equation
True
False
The expression 7x + 1 cannot be reduced without knowing the value of x
True
False
To add two like terms, its coefficients can be added
True
False
Solve: x + 5 = 8
Solve: p – 3 = 7
Solve: 2x = 30
Solve: `"m"/6` = 5
Solve: 7x + 10 = 80
What should be added to 3x + 6y to get 5x + 8y?
Nine added to thrice a whole number gives 45. Find the number
Find the two consecutive odd numbers whose sum is 200
The taxi charges in a city comprised of a fixed charge of ₹ 100 for 5 kms and ₹ 16 per km for every additional km. If the amount paid at the end of the trip was ₹ 740 find the distance travelled.
Objective type questions
The generalization of the number pattern 3, 6, 9, 12, ... is
n
2n
3n
4n
The solution of 3x + 5 = x + 9 is
2
3
5
4
The equation y + 1 = 0 is true only when y is
0
– 1
1
– 2
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board 3 Algebra Exercise 3.4 [Page 69]
Miscellaneous Practice problems
Subtract – 3ab – 8 from 3ab + 8. Also, subtract 3ab + 8 from – 3ab – 8
Find the perimeter of a triangle whose sides are x + 3y, 2x + y, x – y
Thrice a number when increased by 5 gives 44. Find the number
How much smaller is 2ab + 4b – c than 5ab – 3b + 2c
Six times a number subtracted from 40 gives – 8. Find the number
Challenge Problems
From the sum of 5x + 7y – 12 and 3x – 5y + 2, subtract the sum of 2x – 7y – 1 and – 6x + 3y + 9
Find the expression to be added with 5a – 3b – 2c to get a – 4b – 2c?
What should be subtracted from 2m + 8n + 10 to get – 3m + 7n + 16?
Give an algebraic equation for the following statement:
“The difference between the area and perimeter of a rectangle is 20”.
Add: 2a + b + 3c and `"a" + 1/3"b" + 2/5"c"`
Solutions for 3: Algebra
![Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board chapter 3 - Algebra Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board chapter 3 - Algebra - Shaalaa.com](/images/mathematics-term-1-english-class-7-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
Samacheer Kalvi solutions for Mathematics - Term 1 [English] Class 7 TN Board chapter 3 - Algebra
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Concepts covered in Mathematics - Term 1 [English] Class 7 TN Board chapter 3 Algebra are Algebraic Expressions, Terms, Factors and Coefficients of Expression, Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials, Like and Unlike Terms, Evaluation of Algebraic Expressions by Substituting a Value for the Variable., Addition of Algebraic Expressions, Subtraction of Algebraic Expressions, Expressions with Variables, Balancing an Equation, The Solution of an Equation.
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