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

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

Chapter 3: Algebra

Exercise 3.1Exercise 3.2Exercise 3.3Exercise 3.4
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 AExponential form Group BUnit 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

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

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

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