Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations (Related to Algebraic Expressions)

Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations (Related to Algebraic Expressions)

Fundamental Operations Exercise 19A – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Fill in the blanks :
(i) 5 + 4 = ………… and 5x + 4x = ………….
(ii) 12 + 18 = ………… and 12x2y + 18x2y = ………….
(iii) 7 + 16 = ………….. and 7a + 16b = …………
(iv) 1 + 3 = ………… and x2y + 3xy2 = ………..
(v) 7 – 4 = …………… and 7ab – 4ab = …………..
(vi) 12 – 5 = ………… and 12x – 5y = ……………
(vii) 35 – 16 = ………….. and 35ab – 16ba = ………….
(viii) 28 – 13 = …………. and 28ax2 – 13a2x = ………….
Solution:

Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 1

Question 2.
Fill in the blanks :
(i) The sum of – 2 and – 5 = …………. and the sum of – 2x and – 5x = …………….
(ii) The sum of 8 and – 3 = ………….. and the sum of 8ab and – 3ab = ………….
(iii) The sum of – 15 and – 4 = …………….. and the sum of – 15x and -4y = ………………
(iv) 15 + 8 + 3 = ……….. and 15x + 8y + 3x = …………….
(v) 12 – 9 + 15 = …………… and 12ab – 9ab + 15ba = ……………..
(vi) 25 – 7 – 9 = and 25xy – 7xy – 9yx = ……………
(vii) – 4 – 6 – 5 = …………. and – 4ax – 6ax – 5ay = …………….
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 2

Question 3.
Add:
(i) 8xy and 3xy
(ii) 2xyz, xyz and 6xyz
(iii) 2a, 3a and 4b
(iv) 3x and 2y
(v) 5m, 3n and 4p
(vi) 6a, 3a and 9ab
(vii) 3p, 4q and 9q
(viii) 5ab, 4ba and 6b
(ix) 50pq, 30pq and 10pr
(x) – 2y, – y and – 3y
(xi) – 3b and – b
(xii) 5b, – 4b and – 10b
(xiii) – 2c, – c and – 5c
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 3
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 4

Question 4.
Evaluate :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A Q4
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 5

Question 5.
Evaluate :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A Q5
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 6

Question 6.
Subtract the first term from the second :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A Q6
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 7

Question 7.
Simplify :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A Q7
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A Q7.1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 8
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 9
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19A 10

Fundamental Operations Exercise 19B – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Find the sum of :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B Q1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 11
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 12

Question 2.
Add the following expressions :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B Q2
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B Q2.1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 13

Question 3.
Evaluate :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B Q3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 14

Question 4.
Subtract :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B Q4
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 15

Question 5.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B Q5
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 16

Question 6.
From the sum of x + y – 2z and 2x – y + z subtract x + y + z.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 17

Question 7.
From the sum of 3a – 2b + 4c and 3b – 2c subtract a – b – c.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 18

Question 8.
Subtract x – 2y – z from the sum of 3x – y + z and x + y – 3z.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 19

Question 9.
Subtract the sum of x + y and x – z from the sum of x – 2z and x + y + z
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 20

Question 10.
By how much should x + 2y – 3z be increased to get 3x ?
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 21

Question 11.
The sum of two expressions is 5x2 – 3y2. If one of them is 3x2 + 4xy – y2, find the other.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 22

Question 12.
The sum of two expressions is 3a2 + 2ab – b2. If one of them is 2a2 + 3b2, find the other.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19B 23

Fundamental Operations Exercise 19C – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Fill in the blanks :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 24

Question 2.
Fill in the blanks :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q2
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 25

Question 3.
Find the value of :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 26

Question 4.
Multiply :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q4
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q4.1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 27

Question 5.
Multiply :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q5
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 28

Question 6.
Multiply :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q6
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 29

Question 7.
Multiply :
(i) x + 2 and x + 10
(ii) x + 5 and x – 3
(iii) x – 5 and x + 3
(iv) x – 5 and x – 3
(v) 2x+ y and x+ 3y
(vi) (3x – 5y) and (x + 6y)
(vii) (x + 9y) and (x – 5y)
(viii) (2x + 5y) and (2x + 5y)
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 30
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 31

Question 8.
Multiply :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q8
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 32

Question 9.
Find the product of :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C Q9
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 33
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19C 34

Fundamental Operations Exercise 19D – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Divide :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 35

Question 2.
Simplify :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q2
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q2.1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 36
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 37

Question 3.
Divide :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q3
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q3.1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 38
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 39

Question 4.
Simplify :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q4
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 40

Question 5.
Divide :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q5
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D Q5.1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 41
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 19 Fundamental Operations Ex 19D 42

Selina Concise Mathematics Class 6 ICSE Solutions