Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7th
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Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 3 - Algebra [Latest edition]

Chapters

Class 7th Mathematics Term 3 Answers Guide - Shaalaa.com
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Chapter 3: Algebra

Exercise 3.1Exercise 3.2Exercise 3.3
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Exercise 3.1 [Pages 61 - 62]

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 3 AlgebraExercise 3.1 [Pages 61 - 62]

Fill in the blanks

Exercise 3.1 | Q 1. (i) | Page 61

(p – q)2 = _______________

Exercise 3.1 | Q 1. (ii) | Page 61

The product of (x + 5) and (x – 5) is ____________

Exercise 3.1 | Q 1. (iii) | Page 61

The factors of x2 – 4x + 4 are __________

Exercise 3.1 | Q 1. (iv) | Page 61

Express 24ab2c2 as product of its factors is ___________

Say whether the following statements are True or False

Exercise 3.1 | Q 2. (i) | Page 61

(7x + 3)(7x – 4) = 49x2 – 7x – 12

  • True

  • False

Exercise 3.1 | Q 2. (ii) | Page 61

(a – 1)2 = a2 – 1

  • True

  • False

Exercise 3.1 | Q 2. (iii) | Page 61

(x2 + y2)(y2 + x2) = (x2 + y2)2

  • True

  • False

Exercise 3.1 | Q 2. (iv) | Page 61

2p is the factor of 8pq

  • True

  • False

Exercise 3.1 | Q 3. (i) | Page 61

Express the following as the product of its factor

24 ab2c2

Exercise 3.1 | Q 3. (ii) | Page 61

Express the following as the product of its factor

36 x3y2z

Exercise 3.1 | Q 3. (iii) | Page 61

Express the following as the product of its factor

56 mn2p2

Exercise 3.1 | Q 4. (i) | Page 61

Using the identity (x + a)(x + b) = x2 + x(a + b) + ab, find the following product

(x + 3)(x + 7)

Exercise 3.1 | Q 4. (ii) | Page 61

Using the identity (x + a)(x + b) = x2 + x(a + b) + ab, find the following product

(6a + 9)(6a – 5)

Exercise 3.1 | Q 4. (iii) | Page 61

Using the identity (x + a)(x + b) = x2 + x(a + b) + ab, find the following product

(4x + 3y)(4x + 5y)

Exercise 3.1 | Q 4. (iv) | Page 61

Using the identity (x + a)(x + b) = x2 + x(a + b) + ab, find the following product

(8 + pq)(pq + 7)

Exercise 3.1 | Q 5. (i) | Page 62

Expand the following square, using suitable identities

(2x + 5)2

Exercise 3.1 | Q 5. (ii) | Page 62

Expand the following square, using suitable identities

(b – 7)2

Exercise 3.1 | Q 5. (iii) | Page 62

Expand the following square, using suitable identities

(mn + 3p)2

Exercise 3.1 | Q 5. (iv) | Page 62

Expand the following square, using suitable identities

(xyz – 1)2

Exercise 3.1 | Q 6. (i) | Page 62

Using the identity (a + b)(a – b) = a2 – b2, find the following product

(p + 2)(p – 2)

Exercise 3.1 | Q 6. (ii) | Page 62

Using the identity (a + b)(a – b) = a2 – b2, find the following product

(1 + 3b)(3b – 1)

Exercise 3.1 | Q 6. (iii) | Page 62

Using the identity (a + b)(a – b) = a2 – b2, find the following product

(4 – mn)(mn + 4)

Exercise 3.1 | Q 6. (iv) | Page 62

Using the identity (a + b)(a – b) = a2 – b2, find the following product

(6x + 7y)(6x – 7y)

Exercise 3.1 | Q 7. (i) | Page 62

Evaluate the following, using suitable identity

512

Exercise 3.1 | Q 7. (ii) | Page 62

Evaluate the following, using suitable identity

1032

Exercise 3.1 | Q 7. (iii) | Page 62

Evaluate the following, using suitable identity

9982

Exercise 3.1 | Q 7. (iv) | Page 62

Evaluate the following, using suitable identity

472

Exercise 3.1 | Q 7. (v) | Page 62

Evaluate the following, using suitable identity

297 × 303

Exercise 3.1 | Q 7. (vi) | Page 62

Evaluate the following, using suitable identity

990 × 1010

Exercise 3.1 | Q 7. (vii) | Page 62

Evaluate the following, using suitable identity

51 × 52

Exercise 3.1 | Q 8 | Page 62

Simplify: (a + b)2 – 4ab

Exercise 3.1 | Q 9 | Page 62

Show that (m – n)2 + (m + n)2 = 2(m2 + n2)

Exercise 3.1 | Q 10 | Page 62

If a + b = 10 and ab = 18, find the value of a2 + b2

Exercise 3.1 | Q 11. (i) | Page 62

Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)

z2 – 16

Exercise 3.1 | Q 11. (ii) | Page 62

Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)

9 – 4y2

Exercise 3.1 | Q 11. (iii) | Page 62

Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)

25a2 – 49b2

Exercise 3.1 | Q 11. (iv) | Page 62

Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)

x4 – y4

Exercise 3.1 | Q 12. (i) | Page 62

Factorise the following using suitable identity

x2 – 8x + 16

Exercise 3.1 | Q 12. (ii) | Page 62

Factorise the following using suitable identity

y2 + 20y + 100

Exercise 3.1 | Q 12. (iii) | Page 62

Factorise the following using suitable identity

36m2 + 60m + 25

Exercise 3.1 | Q 12. (iv) | Page 62

Factorise the following using suitable identity

64x2 – 112xy + 49y2

Exercise 3.1 | Q 12. (v) | Page 62

Factorise the following using suitable identity

a2 + 6ab + 9b2 – c2

Objective Type Questions

Exercise 3.1 | Q 13 | Page 62

If a + b = 5 and a2 + b2 = 13, then ab = ?

  • 12

  • 6

  • 5

  • 13

Exercise 3.1 | Q 14 | Page 62

(5 + 20)(–20 – 5) = ?

  • − 425

  • 375

  • − 625

  • 0

Exercise 3.1 | Q 15 | Page 62

The factors of x2 – 6x + 9 are

  • (x – 3)(x – 3)

  • (x – 3)(x + 3)

  • (x + 3)(x + 3)

  • (x – 6)(x + 9)

Exercise 3.1 | Q 16 | Page 62

The common factors of the algebraic expression ax2y, bxy2 and cxyz is

  • x2y

  • xy2

  • xyz

  • xy

Exercise 3.2 [Pages 68 - 69]

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 3 AlgebraExercise 3.2 [Pages 68 - 69]

Exercise 3.2 | Q 1. (i) | Page 68

Given that x ≥ y. Fill in the blank with suitable inequality sign

y `square` x

Exercise 3.2 | Q 1. (ii) | Page 68

Given that x ≥ y. Fill in the blank with suitable inequality sign

x + 6 `square` y + 6

Exercise 3.2 | Q 1. (iii) | Page 68

Given that x ≥ y. Fill in the blank with suitable inequality sign

x2 `square` xy

Exercise 3.2 | Q 1. (iv) | Page 68

Given that x ≥ y. Fill in the blank with suitable inequality sign

– xy `square` – y2

Exercise 3.2 | Q 1. (v) | Page 68

Given that x ≥ y. Fill in the blank with suitable inequality sign

x – y `square` 0

Say True or False

Exercise 3.2 | Q 2. (i) | Page 68

Linear inequation has almost one solution

  • True

  • False

Exercise 3.2 | Q 2. (ii) | Page 68

When x is an integer, the solution set for x ≤ 0 are −1, −2, ...

  • True

  • False

Exercise 3.2 | Q 2. (iii) | Page 68

An inequation, −3 < x < −1, where x is an integer, cannot be represented in the number line

  • True

  • False

Exercise 3.2 | Q 2. (iv) | Page 68

x < − y can be rewritten as – y < x

  • True

  • False

Exercise 3.2 | Q 3. (i) | Page 68

Solve the following inequation

x ≤ 7, where x is a natural number

Exercise 3.2 | Q 3. (ii) | Page 68

Solve the following inequation

x – 6 < 1, where x is a natural number

Exercise 3.2 | Q 3. (iii) | Page 68

Solve the following inequation

2a + 3 ≤ 13, where a is a whole number

Exercise 3.2 | Q 3. (iv) | Page 68

Solve the following inequation

6x – 7 ≥ 35, where x is an integer

Exercise 3.2 | Q 3. (v) | Page 68

Solve the following inequation

4x – 9 > – 33, where x is a negative integer

Exercise 3.2 | Q 4. (i) | Page 68

Solve the following inequation and represent the solution on the number line:

k > −5, k is an integer

Exercise 3.2 | Q 4. (ii) | Page 68

Solve the following inequation and represent the solution on the number line:

−7 ≤ y, y is a negative integer

Exercise 3.2 | Q 4. (iii) | Page 68

Solve the following inequation and represent the solution on the number line:

−4 ≤ x ≤ 8, x is a natural number.

Exercise 3.2 | Q 4. (iv) | Page 68

Solve the following inequation and represent the solution on the number line:

3m – 5 ≤ 2m + 1, m is an integer

Exercise 3.2 | Q 5 | Page 69

An artist can spend any amount between ₹ 80 to ₹ 200 on brushes. If cost of each brush is ₹ 5 and there are 6 brushes in each packet, then how many packets of brush can the artist buy?

Objective Type Questions

Exercise 3.2 | Q 6 | Page 69

The solutions set of the inequation 3 ≤ p ≤ 6 are (where p is a natural number)

  • 4, 5 and 6

  • 3, 4 and 5

  • 4 and 5

  • 3, 4, 5 and 6

Exercise 3.2 | Q 7 | Page 69

The solution of the inequation 5x + 5 ≤ 15 are (where x is a natural number)

  • 1 and 2

  • 0, 1 and 2

  • 2, 1, 0, −1, −2

  • 1, 2, 3..

Exercise 3.2 | Q 8 | Page 69

The cost of one pen is ₹ 8 and it is available in a sealed pack of 10 pens. If Swetha has only ₹ 500, how many packs of pens can she buy at the maximum?

  • 10

  • 5

  • 6

  • 8

Exercise 3.2 | Q 9 | Page 69

The inequation that is represented on the number line as shown below is ____________

  • −4 < x < 0

  • −4 ≤ x ≤ 0

  • −4 < x ≤ 0

  • −4 ≤ x < 0

Exercise 3.3 [Pages 69 - 70]

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 3 AlgebraExercise 3.3 [Pages 69 - 70]

Miscellaneous Practice problems

Exercise 3.3 | Q 1. (i) | Page 69

Using identity, find the value of (4.9)2

Exercise 3.3 | Q 1. (ii) | Page 69

Using identity, find the value of (100.1)2

Exercise 3.3 | Q 1. (iii) | Page 69

Using identity, find the value of (1.9) × (2.1)

Exercise 3.3 | Q 2 | Page 69

Factorise: 4x2 – 9y2

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

Simplify using identities

(3p + q)(3p + r)

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

Simplify using identities

(3p + q)(3p – q)

Exercise 3.3 | Q 4 | Page 69

Show that (x + 2y)2 – (x – 2y)2 = 8xy

Exercise 3.3 | Q 5 | Page 69

The pathway of a square paddy field has 5 m width and length of its side is 40 m. Find the total area of its pathway. (Note: Use suitable identity)

Challenge Problems

Exercise 3.3 | Q 6 | Page 69

If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same

Exercise 3.3 | Q 7 | Page 69

Find the value of (x – y)(x + y)(x2 + y2)

Exercise 3.3 | Q 8 | Page 70

Simplify (5x – 3y)2 – (5x + 3y)2

Exercise 3.3 | Q 9. (i) | Page 70

Simplify: (a + b)2 – (a – b)2

Exercise 3.3 | Q 9. (ii) | Page 70

Simplify: (a + b)2 + (a – b)2

Exercise 3.3 | Q 10 | Page 70

A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 m2, find the area of lawn

Exercise 3.3 | Q 11. (i) | Page 70

Solve the following inequalities

4n + 7 ≥ 3n + 10, n is an integer

Exercise 3.3 | Q 11. (ii) | Page 70

Solve the following inequalities

6(x + 6) ≥ 5(x – 3), x is a whole number

Exercise 3.3 | Q 11. (iii) | Page 70

Solve the following inequalities

−13 ≤ 5x + 2 ≤ 32, x is an integer

Chapter 3: Algebra

Exercise 3.1Exercise 3.2Exercise 3.3
Class 7th Mathematics Term 3 Answers Guide - Shaalaa.com

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

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 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 3 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 3 Answers Guide chapter 3 Algebra are Concept of Identity, Geometrical Approach to Multiplication of Monomials, Expansion of (x + a)(x + b), Expansion of (a + b)2 = a2 + 2ab + b2, Expansion of (a - b)2 = a2 - 2ab + b2, Expansion of (a + b)(a - b), Inequation, Solving Linear Inequations, Graphical Representation of Inequation.

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.

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