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]

## 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

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

• 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

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 3 (Algebra) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Class 7th Mathematics Term 1 Answers Guide solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Tamil Nadu Board Samacheer Kalvi textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

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.

Using Tamil Nadu Board Samacheer Kalvi Class 7th solutions Algebra exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Tamil Nadu Board Samacheer Kalvi Solutions are important questions that can be asked in the final exam. Maximum students of Tamil Nadu Board of Secondary Education Class 7th prefer Tamil Nadu Board Samacheer Kalvi Textbook Solutions to score more in exam.

Get the free view of chapter 3 Algebra Class 7th extra questions for Class 7th Mathematics Term 1 Answers Guide and can use Shaalaa.com to keep it handy for your exam preparation