Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 3 - Algebra [Latest edition]

#### Chapters ## Chapter 3: Algebra

Exercise 3.1Exercise 3.2Exercise 3.3Exercise 3.4
Exercise 3.1 [Pages 57 - 58]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 3 Algebra Exercise 3.1 [Pages 57 - 58]

#### Fill in the blanks:

Exercise 3.1 | Q 1. (i) | Page 57

The variable in the expression 16x – 7 is __________

Exercise 3.1 | Q 1. (ii) | Page 57

The constant term of the expression 2y – 6 is _________

Exercise 3.1 | Q 1. (iii) | Page 57

In the expression 25m + 14n, the type of the terms are ________ terms

Exercise 3.1 | Q 1. (iv) | Page 57

The number of terms in the expression 3ab + 4c – 9 is __________

Exercise 3.1 | Q 1. (v) | Page 57

The numerical co-efficient of the term −xy is __________

#### Say True or False

Exercise 3.1 | Q 2. (i) | Page 58

x + (−x) = 0

• True

• False

Exercise 3.1 | Q 2. (ii) | Page 58

The co-efficient of ab in the term 15 abc is 15

• True

• False

Exercise 3.1 | Q 2. (iii) | Page 58

2pq and – 7qp are like terms

• True

• False

Exercise 3.1 | Q 2. (iv) | Page 58

When y = –1, the value of the expression 2y – 1 is 3

• True

• False

Exercise 3.1 | Q 3. (i) | Page 58

Find the numerical co-efficient of the following term:

−3yx

Exercise 3.1 | Q 3. (ii) | Page 58

Find the numerical co-efficient of the following term:

12k

Exercise 3.1 | Q 3. (iii) | Page 58

Find the numerical co-efficient of the following term:

y

Exercise 3.1 | Q 3. (iv) | Page 58

Find the numerical co-efficient of the following term:

121bc

Exercise 3.1 | Q 3. (v) | Page 58

Find the numerical co-efficient of the following term:

– x

Exercise 3.1 | Q 3. (iv) | Page 58

Find the numerical co-efficient of the following term:

9pq

Exercise 3.1 | Q 3. (vii) | Page 58

Find the numerical co-efficient of the following term:

2ab

Exercise 3.1 | Q 4. (i) | Page 58

Write the variables, constant and terms of the following expression

18 + x – y

Exercise 3.1 | Q 4. (ii) | Page 58

Write the variables, constant and terms of the following expression

7p – 4q + 5

Exercise 3.1 | Q 4. (iii) | Page 58

Write the variables, constant and terms of the following expression

29x + 13y

Exercise 3.1 | Q 4. (iv) | Page 58

Write the variables, constant and terms of the following expression

b + 2

Exercise 3.1 | Q 5 | Page 58

Identify the like terms among the following:

7x, 5y, −8x, 12y, 6z, z, −12x, −9y, 11z

Exercise 3.1 | Q 6. (i) | Page 58

If x = 2 and y = 3, then find the value of the following expressions

2x – 3y

Exercise 3.1 | Q 6. (ii) | Page 58

If x = 2 and y = 3, then find the value of the following expressions

x + y

Exercise 3.1 | Q 6. (iii) | Page 58

If x = 2 and y = 3, then find the value of the following expressions

4y – x

Exercise 3.1 | Q 6. (iv) | Page 58

If x = 2 and y = 3, then find the value of the following expressions

x + 1 – y

#### Objective type questions

Exercise 3.1 | Q 7 | Page 58

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

Exercise 3.1 | Q 8 | Page 58

The numerical co-efficient of −7mn is

• 7

• −7

• p

• −p

Exercise 3.1 | Q 9 | Page 58

Choose the pair of like terms

• 7p, 7x

• 7r, 7x

• – 4x, 4

• – 4x, 7x

Exercise 3.1 | Q 10 | Page 58

The value of 7a – 4b when a = 3, b = 2 is

• 21

• 13

• 8

• 32

Exercise 3.2 [Page 63]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 3 Algebra Exercise 3.2 [Page 63]

#### Fill in the blanks

Exercise 3.2 | Q 1. (i) | Page 63

The addition of – 7b and 2b is ____________

Exercise 3.2 | Q 1. (ii) | Page 63

The subtraction of 5m from −3m is _____________

Exercise 3.2 | Q 1. (iii) | Page 63

The additive inverse of −37xyz is ___________

#### Say True or False

Exercise 3.2 | Q 2. (i) | Page 63

The expressions 8x + 3y and 7x + 2y cannot be added

• True

• False

Exercise 3.2 | Q 2. (ii) | Page 63

If x is a natural number, then x + 1 is its predecessor

• True

• False

Exercise 3.2 | Q 2. (iii) | Page 63

Sum of a – b + c and – a + b – c is zero

• True

• False

Exercise 3.2 | Q 3. (i) | Page 63

Exercise 3.2 | Q 3. (ii) | Page 63

Exercise 3.2 | Q 3. (iii) | Page 63

Add: −9y, 11y, 2y

Exercise 3.2 | Q 4. (i) | Page 63

Subtract: 4k from 12k

Exercise 3.2 | Q 4. (ii) | Page 63

Subtract: 15q from 25q

Exercise 3.2 | Q 4. (iii) | Page 63

Subtract: 7xyz from 17xyz

Exercise 3.2 | Q 5. (i) | Page 63

Find the sum of the following expressions

7p + 6q, 5p – q, q + 16p

Exercise 3.2 | Q 5. (ii) | Page 63

Find the sum of the following expressions

a + 5b + 7c, 2a + 10b + 9c

Exercise 3.2 | Q 5. (iii) | Page 63

Find the sum of the following expressions

mn + t, 2mn – 2t, – 3t + 3mn

Exercise 3.2 | Q 5. (iv) | Page 63

Find the sum of the following expressions

u + v, u – v, 2u + 5v, 2u – 5v

Exercise 3.2 | Q 5. (v) | Page 63

Find the sum of the following expressions

5xyz – 3xy, 3zxy – 5yx

Exercise 3.2 | Q 6. (i) | Page 63

Subtract: 13x + 12y – 5 from 27x + 5y – 43

Exercise 3.2 | Q 6. (ii) | Page 63

Subtract: 3p + 5 from p – 2q + 7

Exercise 3.2 | Q 6. (iii) | Page 63

Subtract: m + n from 3m – 7n

Exercise 3.2 | Q 6. (iv) | Page 63

Subtract: 2y + z from 6z – 5y

Exercise 3.2 | Q 7. (i) | Page 63

Simplify: (x + y – z) + (3x – 5y + 7z) – (14x + 7y – 6z)

Exercise 3.2 | Q 7. (ii) | Page 63

Simplify: p + p + 2 + p + 3 + p – 4 – p – 5 + p + 10

Exercise 3.2 | Q 7. (iii) | Page 63

Simplify: n + (m + 1) + (n + 2) + (m + 3) + (n + 4) + (m + 5)

#### Objective type questions

Exercise 3.2 | Q 8 | Page 63

The addition of 3mn, – 5mn, 8mn and – 4mn is

• mn

• – mn

• 2mn

• 3mn

Exercise 3.2 | Q 9 | Page 63

When we subtract ‘a’ from ‘−a’, we get __________

• 0

• 2a

• −2a

• −a

Exercise 3.2 | Q 10 | Page 63

In an expression, we can add or subtract only ________

• Like terms

• Unlike terms

• All terms

• None of the above

Exercise 3.3 [Pages 68 - 69]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 3 Algebra Exercise 3.3 [Pages 68 - 69]

#### Fill in the blanks

Exercise 3.3 | Q 1. (i) | Page 68

An expressions equated to another expression is called ____________

Exercise 3.3 | Q 1. (ii) | Page 68

If a = 5, the value of 2a + 5 is ____________

Exercise 3.3 | Q 1. (iii) | Page 68

The sum of twice and four times of the variable x is __________

#### Say True or False

Exercise 3.3 | Q 2. (i) | Page 68

Every algebraic expression is an equation

• True

• False

Exercise 3.3 | Q 2. (ii) | Page 68

The expression 7x + 1 cannot be reduced without knowing the value of x

• True

• False

Exercise 3.3 | Q 2. (iii) | Page 68

To add two like terms, its coefficients can be added

• True

• False

Exercise 3.3 | Q 3. (i) | Page 69

Solve: x + 5 = 8

Exercise 3.3 | Q 3. (ii) | Page 69

Solve: p – 3 = 7

Exercise 3.3 | Q 3. (iii) | Page 69

Solve: 2x = 30

Exercise 3.3 | Q 3. (iv) | Page 69

Solve: "m"/6 = 5

Exercise 3.3 | Q 3. (v) | Page 69

Solve: 7x + 10 = 80

Exercise 3.3 | Q 4 | Page 69

What should be added to 3x + 6y to get 5x + 8y?

Exercise 3.3 | Q 5 | Page 69

Nine added to thrice a whole number gives 45. Find the number

Exercise 3.3 | Q 6 | Page 69

Find the two consecutive odd numbers whose sum is 200

Exercise 3.3 | Q 7 | Page 69

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

Exercise 3.3 | Q 8 | Page 69

The generalization of the number pattern 3, 6, 9, 12, ... is

• n

• 2n

• 3n

• 4n

Exercise 3.3 | Q 9 | Page 69

The solution of 3x + 5 = x + 9 is

• 2

• 3

• 5

• 4

Exercise 3.3 | Q 10 | Page 69

The equation y + 1 = 0 is true only when y is

• 0

• – 1

• 1

• – 2

Exercise 3.4 [Page 69]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 3 Algebra Exercise 3.4 [Page 69]

#### Miscellaneous Practice problems

Exercise 3.4 | Q 1 | Page 69

Subtract – 3ab – 8 from 3ab + 8. Also, subtract 3ab + 8 from – 3ab – 8

Exercise 3.4 | Q 2 | Page 69

Find the perimeter of a triangle whose sides are x + 3y, 2x + y, x – y

Exercise 3.4 | Q 3 | Page 69

Thrice a number when increased by 5 gives 44. Find the number

Exercise 3.4 | Q 4 | Page 69

How much smaller is 2ab + 4b – c than 5ab – 3b + 2c

Exercise 3.4 | Q 5 | Page 69

Six times a number subtracted from 40 gives – 8. Find the number

#### Challenge Problems

Exercise 3.4 | Q 6 | Page 69

From the sum of 5x + 7y – 12 and 3x – 5y + 2, subtract the sum of 2x – 7y – 1 and – 6x + 3y + 9

Exercise 3.4 | Q 7 | Page 69

Find the expression to be added with 5a – 3b – 2c to get a – 4b – 2c?

Exercise 3.4 | Q 8 | Page 69

What should be subtracted from 2m + 8n + 10 to get – 3m + 7n + 16?

Exercise 3.4 | Q 9 | Page 69

Give an algebraic equation for the following statement:

“The difference between the area and perimeter of a rectangle is 20”.

Exercise 3.4 | Q 10 | Page 69

Add: 2a + b + 3c and "a" + 1/3"b" + 2/5"c"

## Chapter 3: Algebra

Exercise 3.1Exercise 3.2Exercise 3.3Exercise 3.4 ## Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 3 - Algebra

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Concepts covered in Class 7th Mathematics Term 1 Answers Guide 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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