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Selina solutions for Concise Mathematics Class 7 ICSE chapter 11 - Fundamental Concepts (Including Fundamental Operations) [Latest edition]

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Chapters

Concise Mathematics Class 7 ICSE - Shaalaa.com

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Exercise 11 (A)Exercise 11 (B)Exercise 11 (C)Exercise 11 (D)Exercise 11 (E)Exercise 11 (F)
Exercise 11 (A)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 11 Fundamental Concepts (Including Fundamental Operations) Exercise 11 (A)

Exercise 11 (A) | Q 1

Separate constant terms and variable terms from tile following:

8, x, 6xy, 6 + x, - 5xy2 , 15az2 , `(32"z")/"xy", "y"^2/"3x"`

Exercise 11 (A) | Q 2.1

Constant is only 8 other is variable 2x ÷ 15

Exercise 11 (A) | Q 2.2

Constant is only 8 other is variable ax + 9

Exercise 11 (A) | Q 2.3

Constant is only 8 other is variable 3x2 × 5x

Exercise 11 (A) | Q 2.4

Constant is only 8 other is variable 5 + 2a - 3b

Exercise 11 (A) | Q 2.5

Constant is only 8 other is variable 2y –`7/3` z ÷ x

Exercise 11 (A) | Q 2.6

Constant is only 8 other is variable 3p x q ÷ z

Exercise 11 (A) | Q 2.7

Constant is only 8 other is variable 12z ÷ 5x + 4

Exercise 11 (A) | Q 2.8

Constant is only 8 other is variable 12 – 5 z – 4

Exercise 11 (A) | Q 2.9

Constant is only 8 other is variable a3 – 3ab2 x c 

Exercise 11 (A) | Q 3.1

Write the coefficient of: xy in – 3axy

Exercise 11 (A) | Q 3.2

Write the coefficient of: z2 in p2yz 

Exercise 11 (A) | Q 3.3

Write the coefficient of: mn in -mn

Exercise 11 (A) | Q 3.4

Write the coefficient of: 15 in – 15p2 

Exercise 11 (A) | Q 4.1

For the following monomials, write its degree: 7y

Exercise 11 (A) | Q 4.2

For the following monomials, write its degree: – x2

Exercise 11 (A) | Q 4.3

For the following monomials, write its degree: xy2

Exercise 11 (A) | Q 4.4

For the following monomials, write its degree: – 9y2z3 

Exercise 11 (A) | Q 4.5

For the following monomials, write its degree: 3m3n4 

Exercise 11 (A) | Q 4.6

For the following monomials, write its degree: – 2p2q3r4 

Exercise 11 (A) | Q 5.1

Write the degree of the following polynomial: 3y3 -x2y2 + 4x 

Exercise 11 (A) | Q 5.2

Write the degree of the following polynomial: p3q2 – 6p2q5 + p4q4 

Exercise 11 (A) | Q 5.3

Write the degree of the following polynomial: – 8mn6+ 5m3

Exercise 11 (A) | Q 5.4

Write the degree of the following polynomial: 7 – 3x2y + y2 

Exercise 11 (A) | Q 5.5

Write the degree of the following polynomial: 3x – 15

Exercise 11 (A) | Q 5.6

Write the degree of the following polynomial: 2y2z + 9yz3 

Exercise 11 (A) | Q 6.1

Group the like term together: 9x2, xy, – 3x2, x2 and – 2xy

Exercise 11 (A) | Q 6.2

Group the like term together: ab, – a2b, – 3ab, 5a2b and – 8a2

Exercise 11 (A) | Q 6.3

Group the like term together: 7p, 8pq, – 5pq – 2p and 3p

Exercise 11 (A) | Q 7.1

Write numerical co-efficient of the following: y

Exercise 11 (A) | Q 7.2

Write numerical co-efficient of the following: - y

Exercise 11 (A) | Q 7.3

Write numerical co-efficient of the following: 2 x2y

Exercise 11 (A) | Q 7.4

Write numerical co-efficient of the following: – 8xy3 

Exercise 11 (A) | Q 7.5

Write numerical co-efficient of the following: 3py2 

Exercise 11 (A) | Q 7.6

Write numerical co-efficient of the following: – 9a2b3 

Exercise 11 (A) | Q 8.1

In -5x3y2z4 ; write the coefficient of: z2 Also, write the degree of the given algebraic expression.

Exercise 11 (A) | Q 8.2

In -5x3y2z4 ; write the coefficient of y2 Also, write the degree of the given algebraic expression. 

Exercise 11 (A) | Q 8.3

In -5x3y2z4 ; write the coefficient of yz2. Also, write the degree of the given algebraic expression. 

Exercise 11 (A) | Q 8.4

In -5x3y2z4 ; write the coefficient of x3y.  Also, write the degree of the given algebraic expression. 

Exercise 11 (A) | Q 8.5

In -5x3y2z4 ; write the coefficient of -xy2.  Also, write the degree of the given algebraic expression.

Exercise 11 (A) | Q 8.6

In -5x3y2z4 ; write the coefficient of -5xy2z. Also, write the degree of the given algebraic expression.

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Exercise 11 (B)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 11 Fundamental Concepts (Including Fundamental Operations) Exercise 11 (B)

Exercise 11 (B) | Q 1.01

Fill in the blank:

8x + 5x = ________

Exercise 11 (B) | Q 1.02

Fill in the blank:

8x - 5x = ________

Exercise 11 (B) | Q 1.03

Fill in the blank:

6xy2 + 9xy2 = _____. 

Exercise 11 (B) | Q 1.04

Fill in the blank:

6xy2 – 9xy2 = ______

Exercise 11 (B) | Q 1.05

Fill in the blank:

The sum of 8a, 6a and 5b = _______.

Exercise 11 (B) | Q 1.06

Fill in the blank:

The addition of 5, 7xy, 6 and 3xy = _____

Exercise 11 (B) | Q 1.07

Fill in the blank:

4a + 3b – 7a + 4b = _____

Exercise 11 (B) | Q 1.08

Fill in the blank:

- 15x + 13x + 8 = ______

Exercise 11 (B) | Q 1.09

Fill in the blank:

6x2y + 13xy2 – 4x2y + 2xy2 = _______ 

Exercise 11 (B) | Q 1.1

Fill in the blank:

16x2 – 9x2 = and 25xy2 – 17xy2 = _______.

Exercise 11 (B) | Q 2.1

Add : - 9x, 3x and 4x

Exercise 11 (B) | Q 2.2

Add : 23y2 , 8y2 and – 12y2 

Exercise 11 (B) | Q 2.3

Add : 18pq – 15pq and 3pq

Exercise 11 (B) | Q 3.1

Simplify : 3m + 12m – 5m

Exercise 11 (B) | Q 3.2

Simplify: 7n2 – 9n2 + 3n2 

Exercise 11 (B) | Q 3.3

Simplify: 25zy—8zy—6zy

Exercise 11 (B) | Q 3.4

Simplify: -5ax2 + 7ax2 – 12ax2 

Exercise 11 (B) | Q 3.5

Simplify: – 16am + 4mx + 4am – 15mx + 5am

Exercise 11 (B) | Q 4.1

Add : a + b and 2a + 3b

Exercise 11 (B) | Q 4.2

Add : 2x + y and 3x – 4y

Exercise 11 (B) | Q 4.3

Add : - 3a + 2b and 3a + b

Exercise 11 (B) | Q 4.4

Add : 4 + x, 5 – 2x and 6x

Exercise 11 (B) | Q 5.01

Find the sum of: 3x + 8y + 7z, 6y + 4z- 2x and 3y – 4x + 6z

Exercise 11 (B) | Q 5.02

Find the sum of: 3a + 5b + 2c, 2a + 3b-c and a + b + c.

Exercise 11 (B) | Q 5.03

Find the sum of: 4x2+ 8xy – 2y2 and 8xy – 5y2 + x2 

Exercise 11 (B) | Q 5.04

Find the sum of: 9x2 – 6x + 7, 5 – 4x and 6 – 3x2 

Exercise 11 (B) | Q 5.05

Find the sum of: 5x2 – 2xy + 3y2 and – 2x2 + 5xy + 9y2 and 3x2 -xy- 4y2 

Exercise 11 (B) | Q 5.06

Find the sum of: a2 + b2 + 2ab, 2b2 + c2 + 2bc and 4c2 -a2 + 2ac 

Exercise 11 (B) | Q 5.07

Find the sum of: 9ax – 6bx + 8, 4ax + 8bx – 7 and – 6ax – 46x – 3

Exercise 11 (B) | Q 5.08

Find the sum of: abc + 2 ba + 3 ac, 4ca – 4ab + 2 bca and 2ab – 3abc – 6ac

Exercise 11 (B) | Q 5.09

Find the sum of: 4a2 + 5b2 – 6ab, 3ab, 6a2 – 2b2 and 4b2 – 5 ab 

Exercise 11 (B) | Q 5.1

Find the sum of: x2 + x – 2, 2x – 3x2 + 5 and 2x2 – 5x + 7

Exercise 11 (B) | Q 5.11

Find the sum of: 4x3 + 2x2 – x + 1, 2x3 – 5x2 – 3x + 6, x2 + 8 and 5x3 – 7x 

Exercise 11 (B) | Q 6.1

Find the sum of: x and 3y

Exercise 11 (B) | Q 6.2

Find the sum of: -2a and +5

Exercise 11 (B) | Q 6.3

Find the sum of: – 4x2 and +7x

Exercise 11 (B) | Q 6.4

Find the sum of: + 4a and -7b

Exercise 11 (B) | Q 6.5

Find the sum of: x3+3x2y and 2y2 

Exercise 11 (B) | Q 6.6

Find the sum of: 11 and -by

Exercise 11 (B) | Q 7

The sides of a triangle are 2x + 3y, x + 5y and 7x – 2y, find its perimeter.

Exercise 11 (B) | Q 8

The two adjacent sides of a rectangle are 6a + 96 and 8a- 46. Find its, perimeter.

Exercise 11 (B) | Q 9.01

Subtract the second expression from the first:

2a + b, a + b

Exercise 11 (B) | Q 9.02

Subtract the second expression from the first:

- 2b + 2c, b + 3c

Exercise 11 (B) | Q 9.03

Subtract the second expression from the first:

5a + b, - 6b + 2a

Exercise 11 (B) | Q 9.04

Subtract the second expression from the first:

a3 - 1 + a, 3a - 2a

Exercise 11 (B) | Q 9.05

Subtract the second expression from the first:

p + 2, 1

Exercise 11 (B) | Q 9.06

Subtract the second expression from the first:

x + 2y + z, - x - y - 3z

Exercise 11 (B) | Q 9.07

Subtract the second expression from the first:

3a2 - 8ab - 2b2 , 3a2 - 4ab + 6b2 

Exercise 11 (B) | Q 9.08

Subtract the second expression from the first:

4pq - 6p2 - 2q2 , 9p2 

Exercise 11 (B) | Q 9.09

Subtract the second expression from the first:

10abc, 2a2 + 2abc - 4b2 

Exercise 11 (B) | Q 9.1

Subtract the second expression from the first:

a2 + ab + c2, a2 - d2 

Exercise 11 (B) | Q 10.01

Subtract: 4x from 8 - x

Exercise 11 (B) | Q 10.02

Subtract: - 8c from c + 3d

Exercise 11 (B) | Q 10.03

Subtract: - 5a - 2b from b + 6c

Exercise 11 (B) | Q 10.04

Subtract: 4p + p2 from 3p2 - 8p 

Exercise 11 (B) | Q 10.05

Subtract: 5a - 3b + 2c from 4a - b - 2c

Exercise 11 (B) | Q 10.06

Subtract: - xy + yz - zx from xy - yz - xz

Exercise 11 (B) | Q 10.07

Subtract: 2x2 - 7xy - y2 from 3x2 - 5xy + 3y2 

Exercise 11 (B) | Q 10.08

Subtract: a2 - 3ab - 6b2 from 2b2 - a2 + 2ab

Exercise 11 (B) | Q 10.09

Subtract: 4x2 - 5x2y + y2 from - 3y2 + 5xy2 - 7x2 - 9x2

Exercise 11 (B) | Q 10.1

Subtract: 6m3 + 4m2 + 7m - 3 from 3m3 + 4 

Exercise 11 (B) | Q 11

Subtract – 5a2 – 3a + 1 from the sum of 4a2 + 3 – 8a and 9a – 7. 

Exercise 11 (B) | Q 12

By how much does 8x3 – 6x2 + 9x – 10 exceed 4x3 + 2x2 + 7x -3? 

Exercise 11 (B) | Q 13

What must be added to 2a3 + 5a – a2 – 6 to get a2 – a – a3 + 1?

Exercise 11 (B) | Q 14

What must be subtracted from a2 + b2 + lab to get – 4ab + 2b2

Exercise 11 (B) | Q 15

Find the excess of 4m2 + 4n2 + 4p2 over m2+ 3n2 – 5p

Exercise 11 (B) | Q 16

By how much is 3x3 – 2x2y + xy2 -y3 less than 4x3 – 3x2y – 7xy2 +2y3 

Exercise 11 (B) | Q 17

Subtract the sum of 3a2 – 2a + 5 and a2 – 5a – 7 from the sum of 5a2 -9a + 3 and 2a – a2 – 1 

Exercise 11 (B) | Q 18

The perimeter of a rectangle is 28x3+ 16x2 + 8x + 4. One of its sides is 8x2 + 4x. Find the other side 

Exercise 11 (B) | Q 19

The perimeter of a triangle is 14a2 + 20a + 13. Two of its sides are 3a2 + 5a + 1 and a2 + 10a – 6. Find its third side. 

Exercise 11 (B) | Q 20.1

If x = 4a2 + b2 - 6ab; y = 3b2 - 2a2 + 8ab and z = 6a2 + 8b2 - 6ab find: x + y + z

Exercise 11 (B) | Q 20.2

If x = 4a2 + b2 - 6ab; y = 3b2 - 2a2 + 8ab and z = 6a2 + 8b2 - 6ab find: x - y - z

Exercise 11 (B) | Q 21.1

If m = 9x2 - 4xy + 5y2 and n = - 3x2 + 2xy - y2 find: 2m - n

Exercise 11 (B) | Q 21.2

If m = 9x2 - 4xy + 5y2 and n = - 3x2 + 2xy - y2 find: m + 2n

Exercise 11 (B) | Q 21.3

If m = 9x2 - 4xy + 5y2 and n = - 3x2 + 2xy - y2 find: m - 3n

Exercise 11 (B) | Q 22.01

Simplify: 3x + 5(2x + 6) - 7x

Exercise 11 (B) | Q 22.02

Simplify: 3(4y - 10)  2(y - 1)

Exercise 11 (B) | Q 22.03

Simplify: - (7 + 6x) - 7(x + 2)

Exercise 11 (B) | Q 22.04

Simplify: x - (x - y) - y - (y - x)

Exercise 11 (B) | Q 22.05

Simplify: 4x + 7y - (5y - 8) - 2x

Exercise 11 (B) | Q 22.06

Simplify: - 2m + 5 + 4(m - 3)

Exercise 11 (B) | Q 22.07

Simplify: 2x - y + 5 - (x - y)

Exercise 11 (B) | Q 22.08

Simplify: 2(x - y) - (x - 8)

Exercise 11 (B) | Q 22.09

Simplify: 4(3x - 8) - 3(5x + 3) - 2(6x - 8)

Exercise 11 (B) | Q 22.1

Simplify: 5(x - 4) - 3(x - 4) + 7(x - 4)

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Exercise 11 (C)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 11 Fundamental Concepts (Including Fundamental Operations) Exercise 11 (C)

Exercise 11 (C) | Q 1.1

Multiply: 3x, 5x2y and 2y 

Exercise 11 (C) | Q 1.2

Multiply: 5, 3a and 2ab2 

Exercise 11 (C) | Q 1.3

Multiply: 5x + 2y and 3xy

Exercise 11 (C) | Q 1.4

Multiply: 6a - 5b and - 2a

Exercise 11 (C) | Q 1.5

Multiply: 4a + 5b and 4a - 5b

Exercise 11 (C) | Q 1.6

Multiply: 9xy + 2y2 and 2x - 3y 

Exercise 11 (C) | Q 1.7

Multiply: - 3m2n + 5mn - 4mn2 and 6m2

Exercise 11 (C) | Q 1.8

Multiply: 6xy2 - 7x2y2 + 10x3 and - 3x2y3 

Exercise 11 (C) | Q 2.1

Copy and complete the following multi-plication:

3a + 2b
× - 3xy  

Exercise 11 (C) | Q 2.2

Copy and complete the following multi-plication:

9x + 5y
× - 3xy   

Exercise 11 (C) | Q 2.3

Copy and complete the following multi-plication:

3xy - 2x2 - 6x
×     -5x2y      

Exercise 11 (C) | Q 2.4

Copy and complete the following multi-plication:

a + b
× a + b 

Exercise 11 (C) | Q 2.5

Copy and complete the following multi-plication:

ax - b
× 2ax + 2b2  

Exercise 11 (C) | Q 2.6

Copy and complete the following multi-plication:

2a - b + 3c
× 2a - 4b   

Exercise 11 (C) | Q 2.7

Copy and complete the following multi-plication:

3m2 + 6m - 2n
× 5n - 3m           

Exercise 11 (C) | Q 2.8

Copy and complete the following multi-plication:

6 - 3x + 2x2 
× 1 + 5x - x2  

Exercise 11 (C) | Q 2.9

Copy and complete the following multi-plication:

4x3 - 10x2 + 6x - 8
× 3 + 2x - x2        

Exercise 11 (C) | Q 3.01

Evaluate: (c + 5)(c - 3)

Exercise 11 (C) | Q 3.02

Evaluate: (3c - 5d)(4c - 6d)

Exercise 11 (C) | Q 3.03

Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`

Exercise 11 (C) | Q 3.04

Evaluate: (a2 + 2ab + b2)(a + b)

Exercise 11 (C) | Q 3.05

Evaluate: (3x - 1)(4x3 - 2x2 + 6x - 3) 

Exercise 11 (C) | Q 3.06

Evaluate: (4m - 2)(m2 + 5m - 6) 

Exercise 11 (C) | Q 3.07

Evaluate: (8 - 12x + 7x2 - 6x3)(5 - 2x)

Exercise 11 (C) | Q 3.08

Evaluate: (4x2 - 4x + 1)(2x3 - 3x2 + 2) 

Exercise 11 (C) | Q 3.09

Evaluate: (6p2 - 8pq + 2q2) (- 5p)

Exercise 11 (C) | Q 3.1

Evaluate: - 4y (15 + 12y - 8z) (x - 2y)

Exercise 11 (C) | Q 3.11

Evaluate: (a2 + b2 + c2 - ab - bc - ca)(a + b + c) 

Exercise 11 (C) | Q 4

Evaluate:

(i) (a + b)(a - b)

(ii) (a2 + b2)(a + b)(a - b); using the result of (i).

(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).

Exercise 11 (C) | Q 5.1

Evaluate: (3x - 2y)(4x + 3y)

Exercise 11 (C) | Q 5.2

Evaluate: (3x - 2y)(4x + 3y) (8x - 5y)

Exercise 11 (C) | Q 5.3

Evaluate: (a + 5)(3a - 2)(5a + 1)

Exercise 11 (C) | Q 5.4

Evaluate: (a + 1)(a2 - a + 1) and (a - 1)(a2 + a + 1) 

Exercise 11 (C) | Q 5.5

Evaluate: (5m - 2n)(5m + 2n)(25m2 + 4n2

Exercise 11 (C) | Q 6.1

Multiply: mn4, m3n and 5m2n3 

Exercise 11 (C) | Q 6.2

Multiply: 2mnpq, 4mnpq and 5 mnpq

Exercise 11 (C) | Q 6.3

Multiply: pq - pm and p2

Exercise 11 (C) | Q 6.4

Multiply: x3 - 3y3 and 4x2y2 

Exercise 11 (C) | Q 6.5

Multiply: a3 - 4ab and 2a2

Exercise 11 (C) | Q 6.6

Multiply: x2 + 5yx - 3y2 and 2x2

Exercise 11 (C) | Q 7.01

Multiply: (2x + 3y)(2x + 3y)

Exercise 11 (C) | Q 7.02

Multiply: (2x - 3y)(2x + 3y)

Exercise 11 (C) | Q 7.03

Multiply: (2x + 3y)(2x - 3y)

Exercise 11 (C) | Q 7.04

Multiply: (2x - 3y)(2x - 3y)

Exercise 11 (C) | Q 7.05

Multiply: (-2x + 3y)(2x - 3y)

Exercise 11 (C) | Q 7.06

Multiply: (xy + 2b)(xy - 2b)

Exercise 11 (C) | Q 7.07

Multiply: (x - a)(x + 3b)

Exercise 11 (C) | Q 7.08

Multiply: (2x + 5y + 6)(3x + y - 8)

Exercise 11 (C) | Q 7.09

Multiply: (3x - 5y + 2)(5x - 4y - 3)

Exercise 11 (C) | Q 7.1

Multiply: (6x - 2y)(3x - y)

Exercise 11 (C) | Q 7.11

Multiply: (1 + 6x2 - 4x3)(-1 + 3x - 3x2

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Exercise 11 (D)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 11 Fundamental Concepts (Including Fundamental Operations) Exercise 11 (D)

Exercise 11 (D) | Q 1.01

Divide: - 16ab2c by 6abc

Exercise 11 (D) | Q 1.02

Divide: 25x2y by - 5y2 

Exercise 11 (D) | Q 1.03

Divide: 8x + 24 by 4

Exercise 11 (D) | Q 1.04

Divide: 4a2 - a by - a 

Exercise 11 (D) | Q 1.05

Divide: 8m - 16 by - 8

Exercise 11 (D) | Q 1.06

Divide: - 50 + 40p by 10p

Exercise 11 (D) | Q 1.07

Divide: 4x3 - 2x2 by - x 

Exercise 11 (D) | Q 1.08

Divide: 10a3 - 15a2b by - 5a2 

Exercise 11 (D) | Q 1.09

Divide: 12x3y - 8x2y2 + 4x2y3 by 4xy 

Exercise 11 (D) | Q 1.1

Divide: 9a4b - 15a3b2 + 12a2b3 by - 3a2

Exercise 11 (D) | Q 2.01

Divide: n2 - 2n + 1 by n - 1 

Exercise 11 (D) | Q 2.02

Divide: m2 - 2mn + n2 by m - n 

Exercise 11 (D) | Q 2.03

Divide: 4a2 + 4a + 1 by 2a + 1

Exercise 11 (D) | Q 2.04

Divide: p2 + 4p + 4 by p + 2 

Exercise 11 (D) | Q 2.05

Divide: x2 + 4xy + 4y2 by x + 2y 

Exercise 11 (D) | Q 2.06

Divide: 2a2 - 11a + 12 by a - 4 

Exercise 11 (D) | Q 2.07

Divide: 6x2 + 5x - 6 by 2x + 3

Exercise 11 (D) | Q 2.08

Divide: 8a2 + 4a - 60 by 2a - 5 

Exercise 11 (D) | Q 2.09

Divide: 9x2 - 24xy + 16y2 by 3x- 4y 

Exercise 11 (D) | Q 2.1

Divide: 15x2 + 31xy + 14y2 by 5x + 7y 

Exercise 11 (D) | Q 2.11

Divide: 35a3 + 3a2b - 2ab2 by 5a - b 

Exercise 11 (D) | Q 2.12

Divide: 6x3 + 5x2 - 21x + 10 by 3x - 2 

Exercise 11 (D) | Q 3

The area of a rectangle is 6x2 – 4xy – 10y2 square unit and its length is 2x + 2y unit. Find its breadth.

Exercise 11 (D) | Q 4

The area of a rectangular field is 25x2 + 20xy + 3y2 square unit. If its length is 5x + 3y unit, find its breadth, Hence find its perimeter.

Exercise 11 (D) | Q 5.1

Divide: 2m3n5 by - mn 

Exercise 11 (D) | Q 5.2

Divide: 5x2 - 3x by x

Exercise 11 (D) | Q 5.3

Divide: 10x3y - 9xy2 - 4x2y2 by xy 

Exercise 11 (D) | Q 5.4

Divide: 3y3 - 9ay2 - 6ab2y by -3y 

Exercise 11 (D) | Q 5.5

Divide: x5 - 15x4 - 10x2 by -5x2 

Exercise 11 (D) | Q 5.6

Divide: 12a2 + ax - 6x2 by 3a - 2x 

Exercise 11 (D) | Q 5.7

Divide: 6x2 - xy - 35y2 by 2x - 5y 

Exercise 11 (D) | Q 5.8

Divide: x3 - 6x2 + 11x - 6 by x2 - 4x + 3 

Exercise 11 (D) | Q 5.9

Divide: m3 - 4m2 + m + 6 by m2 - m - 2 

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Exercise 11 (E)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 11 Fundamental Concepts (Including Fundamental Operations) Exercise 11 (E)

Exercise 11 (E) | Q 1

Simplify: `"x"/2+"x"/4`

Exercise 11 (E) | Q 2

Simplify: `"a"/10+"2a"/5`

Exercise 11 (E) | Q 3

Simplify: `"y"/4 +"3y"/5`

Exercise 11 (E) | Q 4

Simplify: `"x"/2 -"x"/8`

Exercise 11 (E) | Q 5

Simplify: `"3y"/4 -"y"/5`

Exercise 11 (E) | Q 6

Simplify: `"2p"/3 -"3p"/5`

Exercise 11 (E) | Q 7

Simplify: `"k"/2 + "k"/3 + "2k"/5`

Exercise 11 (E) | Q 8

Simplify: `"2x"/5 + "3x"/4 - "3x"/5` 

Exercise 11 (E) | Q 9

Simplify: `"4a"/7 + "2a"/3 - "a"/7` 

Exercise 11 (E) | Q 10

Simplify: `"2b"/5 - "7b"/15 + "13b"/3` 

Exercise 11 (E) | Q 11

Simplify: `"6k"/7 - ("8k"/9 - "k"/3)`

Exercise 11 (E) | Q 12

Simplify: `"3a"/8 + "4a"/5 - ("a"/2 + "2a"/5)`

Exercise 11 (E) | Q 13

Simplify: `"x" + "x"/2 + "x"/3`

Exercise 11 (E) | Q 14

Simplify: `"y"/5 + "y" - "19y"/15`

Exercise 11 (E) | Q 15

Simplify: `"x"/5 + "x + 1"/2`

Exercise 11 (E) | Q 16

Simplify: `"x" + "x + 2"/3`

Exercise 11 (E) | Q 17

Simplify: `"3y"/5 - "y + 2"/2`

Exercise 11 (E) | Q 18

Simplify: `"2a + 1"/3 + "3a - 1"/2`

Exercise 11 (E) | Q 19

Simplify: `"k + 1"/2 + "2k - 1"/3 - "k + 3"/4`

Exercise 11 (E) | Q 20

Simplify: `"m"/5 - "m - 2"/3 + "m"`

Exercise 11 (E) | Q 21

Simplify: `(5 ("x" - 4))/3 + (2(5x - 3))/5 + (6(x - 4))/7`

Exercise 11 (E) | Q 22

Simplify: `("p" + "p"/3)("2p" + "p"/2)("3p" - "2p"/3)`

Exercise 11 (E) | Q 23

Simplify: `7/30  "of" ("p"/3 + "7p"/15)`

Exercise 11 (E) | Q 24

Simplify: `(2"p" + "p"/7) div ("9p"/10 + "4p")`

Exercise 11 (E) | Q 25

Simplify: `("5k"/8 - "3k"/5) div "k"/4`

Exercise 11 (E) | Q 26

Simplify: `("y"/6 + "2y"/3) div ("y" + ("2y" - 1)/3)`

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Exercise 11 (F)

Selina solutions for Concise Mathematics Class 7 ICSE Chapter 11 Fundamental Concepts (Including Fundamental Operations) Exercise 11 (F)

Exercise 11 (F) | Q 1

Enclose the given term in bracket as required:

x – y – z = x - {…….)

Exercise 11 (F) | Q 2

Enclose the given term in bracket as required:

x2 – xy2 – 2xy – y2 = x2 – (……..)

Exercise 11 (F) | Q 3

Enclose the given term in bracket as required:

4a – 9 + 2b – 6 = 4a – (……..)

Exercise 11 (F) | Q 4

Enclose the given term in bracket as required:

x2 -y2 + z2 + 3x – 2y = x2 – (……..)

Exercise 11 (F) | Q 5

Enclose the given term in bracket as required:

– 2a2 + 4ab – 6a2b2 + 8ab2 = – 2a (………)

Exercise 11 (F) | Q 6

Simplify: 2x – (x + 2y- z)

Exercise 11 (F) | Q 7

Simplify: p + q – (p – q) + (2p – 3q)

Exercise 11 (F) | Q 8

Simplify: 9x – (- 4x + 5)

Exercise 11 (F) | Q 9

Simplify: 6a – (- 5a – 8b) + (3a + b)

Exercise 11 (F) | Q 10

Simplify: (p – 2q) – (3q – r)

Exercise 11 (F) | Q 11

Simplify: 9a (2b – 3a + 7c)

Exercise 11 (F) | Q 12

Simplify: -5m (-2m + 3n – 7p)

Exercise 11 (F) | Q 13

Simplify: - 2x (x + y) + x2 

Exercise 11 (F) | Q 14

Simplify: `"b"("2b" - 1/"b") - "2b"("b" - 1/"b")`

Exercise 11 (F) | Q 15

Simplify: 8 (2a + 3b – c) – 10 (a + 2b + 3c)

Exercise 11 (F) | Q 16

Simplify: `"a"("a" + 1/"a") - "b"("b" - 1/"b") -"c"("c" + 1/"c")`

Exercise 11 (F) | Q 17

Simplify: 5 x (2x + 3y) – 2x (x – 9y)

Exercise 11 (F) | Q 18

Simplify: a + (b + c – d)

Exercise 11 (F) | Q 19

Simplify: 5 – 8x – 6 – x

Exercise 11 (F) | Q 20

Simplify: `2"a" +(6 - bar("a" - "b"))`

Exercise 11 (F) | Q 21

Simplify: 3x + [4x – (6x – 3)]

Exercise 11 (F) | Q 22

Simplify: 5b – {6a + (8 – b – a)}

Exercise 11 (F) | Q 23

Simplify: 2x-[5y- (3x -y) + x]

Exercise 11 (F) | Q 24

Simplify: 6a – 3 (a + b – 2)

Exercise 11 (F) | Q 25

Simplify: 8 [m + 2n-p – 7 (2m -n + 3p)]

Exercise 11 (F) | Q 26

Simplify: {9 – (4p – 6q)} – {3q – (5p – 10)}

Exercise 11 (F) | Q 27

Simplify: 2 [a – 3 {a + 5 {a – 2) + 7}]

Exercise 11 (F) | Q 28

Simplify: 5a – [6a – {9a – (10a – `bar("4a" - "3a"))}]`

Exercise 11 (F) | Q 29

Simplify: 9x + 5 – [4x – {3x – 2 (4x – 3)}]

Exercise 11 (F) | Q 30

Simplify: (x + y – z)x + (z + x – y)y – (x + y – z)z

Exercise 11 (F) | Q 31

Simplify: -1 [a - 3 {b - 4 (a - b - 8) + 4a} + 10]

Exercise 11 (F) | Q 32

Simplify: `"p"^2 - ["x"^2 - {"x"^2 - ("q"^2 - bar("x"^2 - "q"^2)) - "2y"^2}]`

Exercise 11 (F) | Q 33

Simplify: `10  – {4"a" – (7 – bar ("a" - 5) - (5"a" - bar(1 + "a")))`

Exercise 11 (F) | Q 34

Simplify: `7"a" ["8a" - (11"a" - (12"a" - bar"6a - 5a"))]`

Exercise 11 (F) | Q 35

Simplify: `8"x" - ["4y" - {"4x" + ("2x" - bar"2y - 2x")}]`

Exercise 11 (F) | Q 36

Simplify: `"x" - ("3y" - bar"4x - 3x" + 2z - bar"5y - 7x")`

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Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Exercise 11 (A)Exercise 11 (B)Exercise 11 (C)Exercise 11 (D)Exercise 11 (E)Exercise 11 (F)
Concise Mathematics Class 7 ICSE - Shaalaa.com

Selina solutions for Concise Mathematics Class 7 ICSE chapter 11 - Fundamental Concepts (Including Fundamental Operations)

Selina solutions for Concise Mathematics Class 7 ICSE chapter 11 (Fundamental Concepts (Including Fundamental Operations)) 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 CISCE Concise Mathematics Class 7 ICSE 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. Selina textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Concise Mathematics Class 7 ICSE chapter 11 Fundamental Concepts (Including Fundamental Operations) are Fundamental Concepts, Performs Operations (Addition and Subtraction) on Algebraic Expressions with Integral Coefficients Only., Terms, Factors and Coefficients of Expression, Algebraic Expressions.

Using Selina Class 7 solutions Fundamental Concepts (Including Fundamental Operations) 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 Selina Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 7 prefer Selina Textbook Solutions to score more in exam.

Get the free view of chapter 11 Fundamental Concepts (Including Fundamental Operations) Class 7 extra questions for Concise Mathematics Class 7 ICSE and can use Shaalaa.com to keep it handy for your exam preparation

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