Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7th
Advertisement Remove all ads

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 2 Answers Guide chapter 3 - Algebra [Latest edition]

Chapters

Class 7th Mathematics Term 2 Answers Guide - Shaalaa.com
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Chapter 3: Algebra

Exercise 3.1Exercise 3.2Exercise 3.3Exercise 3.4
Advertisement Remove all ads
Exercise 3.1 [Pages 51 - 53]

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 2 Answers Guide Chapter 3 AlgebraExercise 3.1 [Pages 51 - 53]

Fill in the blanks

Exercise 3.1 | Q 1. (i) | Page 51

The exponential form 149 should be read as _______________

Exercise 3.1 | Q 1. (ii) | Page 51

The expanded form of p3 q2 is ________________

Exercise 3.1 | Q 1. (iii) | Page 51

When base is 12 and exponent is 17, its exponential form is _____________

Exercise 3.1 | Q 1. (iv) | Page 51

The value of (14 × 21)0 is _______________

Say True or False

Exercise 3.1 | Q 2. (i) | Page 51

23 × 32 = 65

  • True

  • False

Exercise 3.1 | Q 2. (ii) | Page 51

29 × 32 = (2 × 3)9×2 

  • True

  • False

Exercise 3.1 | Q 2. (iii) | Page 51

34 × 37 = 311

  • True

  • False

Exercise 3.1 | Q 2. (iv) | Page 52

20 × 10000

  • True

  • False

Exercise 3.1 | Q 2. (v) | Page 52

23 < 32

  • True

  • False

Exercise 3.1 | Q 3. (i) | Page 52

Find the value of the following.

26

Exercise 3.1 | Q 3. (ii) | Page 52

Find the value of the following.

112 

Exercise 3.1 | Q 3. (iii) | Page 52

Find the value of the following.

54 

Exercise 3.1 | Q 3. (iv) | Page 52

Find the value of the following.

93 

Exercise 3.1 | Q 4. (i) | Page 52

Express the following in exponential form.

6 × 6 × 6 × 6

Exercise 3.1 | Q 4. (ii) | Page 52

Express the following in exponential form.

t × t 

Exercise 3.1 | Q 4. (iii) | Page 52

Express the following in exponential form.

5 × 5 × 7 × 7 × 7

Exercise 3.1 | Q 4. (iv) | Page 52

Express the following in exponential form.

2 × 2 × a × a

Exercise 3.1 | Q 5. (i) | Page 52

Express the following numbers using exponential form.

512

Exercise 3.1 | Q 5. (ii) | Page 52

Express the following numbers using exponential form.

343

Exercise 3.1 | Q 5. (iii) | Page 52

Express the following numbers using exponential form.

729

Exercise 3.1 | Q 5. (iv) | Page 52

Express the following numbers using exponential form.

3125

Exercise 3.1 | Q 6. (i) | Page 52

Identify the greater number in the following.

63 or 36

Exercise 3.1 | Q 6. (ii) | Page 52

Identify the greater number in the following.

53 or 35

Exercise 3.1 | Q 6. (iii) | Page 52

Identify the greater number in the following.

28 or 82

Exercise 3.1 | Q 7. (i) | Page 52

Simplify the following.

72 × 3

Exercise 3.1 | Q 7. (ii) | Page 52

Simplify the following.

32 × 24

Exercise 3.1 | Q 7. (iii) | Page 52

Simplify the following.

52 × 104

Exercise 3.1 | Q 8. (i) | Page 52

Find the value of the following.

(−4)2

Exercise 3.1 | Q 8. (ii) | Page 52

Find the value of the following.

(−3) × (−2)3

Exercise 3.1 | Q 8. (iii) | Page 52

Find the value of the following.

(−2)3 × (−10)3

Exercise 3.1 | Q 9. (i) | Page 52

Simplify using law of exponents.

35 × 38

Exercise 3.1 | Q 9. (ii) | Page 52

Simplify using law of exponents.

a4 × a10

Exercise 3.1 | Q 9. (iii) | Page 52

Simplify using law of exponents.

7x × 72 

Exercise 3.1 | Q 9. (iv) | Page 52

Simplify using law of exponents.

25 ÷ 2

Exercise 3.1 | Q 9. (v) | Page 52

Simplify using law of exponents.

188 ÷ 184

Exercise 3.1 | Q 9. (vi) | Page 52

Simplify using law of exponents.

(64)3

Exercise 3.1 | Q 9. (vii) | Page 52

Simplify using law of exponents.

(xm)0

Exercise 3.1 | Q 9. (viii) | Page 52

Simplify using law of exponents.

95 × 35

Exercise 3.1 | Q 9. (ix) | Page 52

Simplify using law of exponents.

3y × 12

Exercise 3.1 | Q 9. (x) | Page 52

Simplify using law of exponents.

256 × 56

Exercise 3.1 | Q 10. (i) | Page 52

If a = 3 and b = 2, then find the value of the following.

ab + ba

Exercise 3.1 | Q 10. (ii) | Page 52

If a = 3 and b = 2, then find the value of the following.

aa – bb

Exercise 3.1 | Q 10. (iii) | Page 52

If a = 3 and b = 2, then find the value of the following.

(a + b)b

Exercise 3.1 | Q 10. (iv) | Page 52

If a = 3 and b = 2, then find the value of the following.

(a – b)a

Exercise 3.1 | Q 11. (i) | Page 52

Simplify and express the following in exponential form:

45 × 42 × 4

Exercise 3.1 | Q 11. (ii) | Page 52

Simplify and express the following in exponential form:

(32 × 33)7

Exercise 3.1 | Q 11. (iii) | Page 52

Simplify and express the following in exponential form:

(52 × 58) ÷ 55

Exercise 3.1 | Q 11. (iv) | Page 52

Simplify and express the following in exponential form:

20 × 30 × 40

Exercise 3.1 | Q 11. (v) | Page 52

Simplify and express the following in exponential form:

`(4^5 xx "a"^8 xx "b"^3)/(4^3 xx "a"^5 xx "b"^2)`

Objective type questions

Exercise 3.1 | Q 12 | Page 52

a × a × a × a × a is equal to

  • a5

  • 5a 

  • 5a

  • a + 5

Exercise 3.1 | Q 13 | Page 52

The exponential form of 72 is

  • 72

  • 27

  • 22 × 33

  • 23 × 32

Exercise 3.1 | Q 14 | Page 52

The value of x in the equation a13 = x3 × a10 is

  • a

  • 13

  • 3

  • 10

Exercise 3.1 | Q 15 | Page 53

How many zeros are there in 10010?

  • 2

  • 3

  • 10

  • 20

Exercise 3.1 | Q 16 | Page 53

240 + 240 is equal to

  • 440

  • 280

  • 241

  • 480

Exercise 3.2 [Pages 56 - 57]

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 2 Answers Guide Chapter 3 AlgebraExercise 3.2 [Pages 56 - 57]

Fill in the blanks.

Exercise 3.2 | Q 1. (i) | Page 56

Unit digit of 124 × 36 × 980 is _____________

Exercise 3.2 | Q 1. (ii) | Page 56

When the unit digit of the base and its expanded form of that number is 9, then the exponent must be ____________ power.

Exercise 3.2 | Q 2 | Page 57

Match the following:

Group A
Exponential form
Group B
Unit digit of the number
(i) 2010 (a) 6
(ii) 12111 (b) 4
(iii) 44441 (c) 0
(iv) 25100 (d) 1
(v) 71683 (e) 9
(vi) 729725  (f) 5
Exercise 3.2 | Q 3. (i) | Page 57

Find the unit digit of expanded form.

2523

Exercise 3.2 | Q 3. (ii) | Page 57

Find the unit digit of expanded form.

1110

Exercise 3.2 | Q 3. (iii) | Page 57

Find the unit digit of expanded form.

4615

Exercise 3.2 | Q 3. (iv) | Page 57

Find the unit digit of expanded form.

10012

Exercise 3.2 | Q 3. (v) | Page 57

Find the unit digit of expanded form.

2921

Exercise 3.2 | Q 3. (vi) | Page 57

Find the unit digit of expanded form.

1912

Exercise 3.2 | Q 3. (vii) | Page 57

Find the unit digit of expanded form.

2425

Exercise 3.2 | Q 3. (viii) | Page 57

Find the unit digit of expanded form.

3416

Exercise 3.2 | Q 4. (i) | Page 57

Find the unit digit of the following numeric expression.

11420 + 11521 + 11622

Exercise 3.2 | Q 4. (ii) | Page 57

Find the unit digit of the following numeric expression.

1000010000 + 1111111111

Objective type questions

Exercise 3.2 | Q 5 | Page 57

Observe the equation (10 + y)4 = 50625 and find the value of y

  • 1

  • 5

  • 4

  • 0

Exercise 3.2 | Q 6 | Page 57

The unit digit of (32 × 65)0 is

  • 2

  • 5

  • 0

  • 1

Exercise 3.2 | Q 7 | Page 57

The unit digit of the numeric expression 1071 + 1072 + 1073 is

  • 0

  • 3

  • 1

  • 2

Exercise 3.3 [Pages 61 - 62]

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 2 Answers Guide Chapter 3 AlgebraExercise 3.3 [Pages 61 - 62]

Fill in the blanks

Exercise 3.3 | Q 1. (i) | Page 61

The degree of the term a3b2c4d2 is ___________

Exercise 3.3 | Q 1. (ii) | Page 61

Degree of the constant term is ______________

Exercise 3.3 | Q 1. (iii) | Page 61

The coefficient of leading term of the expression 3z2y + 2x – 3 is _________

Say True or False

Exercise 3.3 | Q 2. (i) | Page 61

The degree of m2n and mn2 are equal

  • True

  • False

Exercise 3.3 | Q 2. (ii) | Page 61

7a2b and −7ab2 are like terms

  • True

  • False

Exercise 3.3 | Q 2. (iii) | Page 61

The degree of the expression −4x2 yz is −4

  • True

  • False

Exercise 3.3 | Q 2. (iv) | Page 61

Any integer can be the degree of the expression

  • True

  • False

Exercise 3.3 | Q 3. (i) | Page 61

Find the degree of the following terms.

5x2

Exercise 3.3 | Q 3. (ii) | Page 61

Find the degree of the following terms.

−7ab

Exercise 3.3 | Q 3. (iii) | Page 61

Find the degree of the following terms.

12pq2r2

Exercise 3.3 | Q 3. (iv) | Page 61

Find the degree of the following terms.

−125

Exercise 3.3 | Q 3. (v) | Page 61

Find the degree of the following terms.

3z

Exercise 3.3 | Q 4. (i) | Page 61

Find the degree of the following expression.

x3 – 1

Exercise 3.3 | Q 4. (ii) | Page 61

Find the degree of the following expression.

3x2 + 2x + 1

Exercise 3.3 | Q 4. (iii) | Page 61

Find the degree of the following expression.

3t4 – 5st2 + 7s2t2

Exercise 3.3 | Q 4. (iv) | Page 61

Find the degree of the following expression.

5 – 9y + 15y2 – 6y3

Exercise 3.3 | Q 4. (v) | Page 61

Find the degree of the following expression.

u5 + u4v + u3v2 + u2v3 + uv4

Exercise 3.3 | Q 5 | Page 62

Identify the like terms: 12x3y2z, – y3x2z, 4z3y2x, 6x3z2y, – 5y3x2z

Exercise 3.3 | Q 6. (i) | Page 62

Add and find the degree of the following expressions.

(9x + 3y) and (10x – 9y)

Exercise 3.3 | Q 6. (ii) | Page 62

Add and find the degree of the following expressions.

(k2 – 25k + 46) and (23 – 2k2 + 21k)

Exercise 3.3 | Q 6. (iii) | Page 62

Add and find the degree of the following expressions.

(3m2n + 4pq2) and (5nm2 – 2q2p)

Exercise 3.3 | Q 7. (i) | Page 62

Simplify and find the degree of the following expression.

10x2 – 3xy + 9y2 – (3x2 – 6xy – 3y2)

Exercise 3.3 | Q 7. (ii) | Page 62

Simplify and find the degree of the following expression.

9a4 – 6a3 – 6a4 – 3a2 + 7a3 + 5a

Exercise 3.3 | Q 7. (iii) | Page 62

Simplify and find the degree of the following expression.

4x2 – 3x – [8x – (5x2 – 8)]

Objective type questions

Exercise 3.3 | Q 8 | Page 62

3p2 – 5pq + 2q2 + 6pq – q2 + pq is a

  • Monomial

  • Binomial

  • Trinomial

  • Quadrinomial

Exercise 3.3 | Q 9 | Page 62

The degree of 6x7 – 7x3 + 4 is

  • 7

  • 3

  • 6

  • 4

Exercise 3.3 | Q 10 | Page 62

If p(x) and q(x) are two expressions of degree 3, then the degree of p(x) + q(x) is

  • 6

  • 0

  • 3

  • Undefined

Exercise 3.4 [Pages 62 - 63]

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 2 Answers Guide Chapter 3 AlgebraExercise 3.4 [Pages 62 - 63]

Miscellaneous Practice problems

Exercise 3.4 | Q 1 | Page 62

62 × 6m = 65, find the value of ‘m’

Exercise 3.4 | Q 2 | Page 62

Find the unit digit of 124128 × 126124

Exercise 3.4 | Q 3 | Page 62

Find the unit digit of the numeric expression: 1623 + 7148 + 5961

Exercise 3.4 | Q 4 | Page 62

Find the value of `((-1)^6 xx (-1)^7 xx (-1)^8)/((-1)^3 xx (-1)^5)`

Exercise 3.4 | Q 5 | Page 62

Identify the degree of the expression, 2a3bc + 3a3b + 3a3c – 2a2b2c2

Exercise 3.4 | Q 6 | Page 62

If p = −2, q = 1 and r = 3, find the value of 3p2q2r

Challenge Problems

Exercise 3.4 | Q 7 | Page 62

LEADERS is a WhatsApp group with 256 members. Every one of its member is an admin for their own WhatsApp group with 256 distinct members. When a message is posted in LEADERS and everybody forwards the same to their own group, then how many members in total will receive that message?

Exercise 3.4 | Q 8 | Page 62

Find x such that 3x+2 = 3x + 216

Exercise 3.4 | Q 9 | Page 62

If X = 5x2 + 7x + 8 and Y = 4x2 – 7x + 3, then find the degree of X + Y

Exercise 3.4 | Q 10 | Page 63

Find the degree of (2a2 + 3ab – b2) – (3a2 – ab – 3b2)

Exercise 3.4 | Q 11 | Page 63

Find the value of w, given that x = 3, y = 4, z = – 2 and w = x2 – y2 + z2 – xyz

Exercise 3.4 | Q 12 | Page 63

Simplify and find the degree of 6x2 + 1 – [8x – {3x2 – 7 – (4x2 – 2x + 5x + 9)}]

Exercise 3.4 | Q 13 | Page 63

The two adjacent sides of a rectangle are 2x2 – 5xy + 3z2 and 4xy – x2 – z2. Find the perimeter and the degree of the expression

Chapter 3: Algebra

Exercise 3.1Exercise 3.2Exercise 3.3Exercise 3.4
Class 7th Mathematics Term 2 Answers Guide - Shaalaa.com

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 2 Answers Guide chapter 3 - Algebra

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 2 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 2 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 2 Answers Guide chapter 3 Algebra are Taking Power of a Power, Dividing Powers with Different Base and Same Exponents, Algebraic Expressions, Concept of Exponents, Laws of Exponents, Multiplying Powers with the Same Base, Dividing Powers with the Same Base, Terms, Factors and Coefficients of Expression, Degree of Expressions, Unit Digit of Numbers in Exponential Form, Multiplying Powers with Different Base and Same Exponents, Like and Unlike Terms.

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 2 Answers Guide and can use Shaalaa.com to keep it handy for your exam preparation

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×