#### Chapters

## Chapter 3: Algebra

### 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:

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

### 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

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

### 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

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

### 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

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"`

## Chapter 3: Algebra

## 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.

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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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