Page 44 - Concepts of Reasoning-8

CHAPTER

Worksheet-7.1 factors 7

Factorisation Using Common Factor Method and Method of Grouping Terms

1. Factorise the following expressions by using the common factor method.
a. 3x – 15 b. 3x – 12y + 6z

2
2
c. 4ab + 8b + 12bc d. 5x y + 15xy 2

2
e. x + xy + xz

2. State whether the following statements are true or false :

a. The factors of 4xy + 9y + 12x + 27 are (4x + 9) and (y + 3).

b. The factors of 2az – 8z + 32y – 8ay are (2z – 87) and (a –4).
3
2
2
c. The factors of 7r – 56r + r – 8 are (7r + 1) and (r – 6).
2
d. The factors of 3x – 8x –3xy + 8y are (3x – 4) and (x – y).
2
2
2
e. The factors of 15a – 10ac + 24a b – 16abc (3a – 2ac) and (5 + 8b).
3. Choose the correct answer for each of the following :
a. The factors of 12ab + 24ac are

i. 12a and (b + c) ii. 2 a and (b + c) iii. 6a and (b + c) iv. 10a and (b + c)
2
4
4
2
b. The factors of a b – 2ab + a b are
3
3
3
3
i. 2ab and (ab – 2 + a b ) ii. ab and (ab – 2 + a b )
3
3
2
2
2
2
iii. a b and (ab – 2 + a b ) iv. a b and (ab – 2 + ab)
c. The factors of 15x –25y + 25y + 20z are
i. 3 and (5x – 5y + 4z) ii. x and (15 – 25 + 20)
iii. 5 and (3x – 5y + 4z) iv. y and (15 – 25 + 20)
d. The factors of 8xy + 16x + 12y + 24 are
i. (4x + 8) and (2y + 3) ii. (4x + 3) and (2y + 8)
iii. (4y + 3) and (2x + 8) iv. (4y + 8) and (2x + 3)
e. The factors of 21ac + 27ad + 28c + 36d are
i. (7c + 9d) and (3a + 4) ii. (7c + 4) and (3a + 4)
iii. (7c + 3d) and (9a + 4) iv. (7a + 4) and (9c + 3d)

44 Reasoning - 8