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FORM 2 CHAPTER 2 EXPANSION AND FACTORISATION

Total questions: 29

Worksheet time: 32mins

Name
Class
Date
1.

Simplify:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

2.

Simplify:

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

3.

Combine like terms:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

4.

Simplify:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

5.

Expand and simplify

2 (a+b)

a)

2ab

b)

2a + b

c)

2a + 2b

d)

2(ab)

6.

Expand

6(t - 2j) =

a)

6 x t - 2j

b)

6 x t - 6 x 2j

c)

6 x t - 2 x j

d)

6t - 2j

7.

Expand 4(2x + 3)

a)

6x + 7

b)

8x +12

c)

8x + 3

d)

6x +12

8.

Expand using the distributive law and simplify:

7(a + b) + 3a

a)

7a + 7b + 3a

b)

13a

c)

10ab + 3a

d)

10a + 7b

9.

Simplify the expression shown above

a)

15a + 12a

b)

27a

c)

27a2

d)

7a + 20

10.

Expand and simplify 4(5a + c) + 3(2a – 3c)

a)

26a + 5c

b)

26a – 13c

c)

31ac

d)

26a – 5c

11.

Expand and simplify 3(2x – 5y) + 3(x – 2y)

a)

9x – 21y

b)

9x + 21y

c)

30xy

d)

9x – 7y

12.
Expand:
(5 - x)(5 + x)
a)
x2 + 25
b)
25 - x2
c)
25 - 10x - x2
d)
25 + x2
13.

Expand and simplify the following quadratic expression...


(x + 3)(x + 2)

a)

x2 + 5x + 6

b)

x2 + 5x + 5

c)

x2 + 6x + 6

d)

x2 + 6x + 5

14.

Expand and simplify the following quadratic expression...


(x - 6)(x + 5)

a)

x2 + x - 30

b)

x2 - x - 30

c)

x2 + x + 30

d)

x2 - x + 30

15.

Expand and simplify the following quadratic expression...


(x + 3)(x + 8)

a)

x2 + 11x + 24

b)

x2 + 11x + 11

c)

x2 + 24x + 11

d)

x2 + 24x + 24

16.

Factorise x2 + 4x

a)

4x3

b)

x(x + 4)

c)

x(x + 4x)

d)

x2(x + 4)

17.

Which of these statements are equivalent to 8x + 24

a)

8(x + 24)

b)

8(x + 3)

c)

4(2x + 3)

d)

4(2x + 6)

18.

Factorise fully 18x + 24

a)

3(6x + 8)

b)

2(9x + 12)

c)

6(3x + 4)

d)

6x(3x + 4)

19.

Factorise 11x + 121xy

a)

11(x + 11xy)

b)

7x(1 + 11y)

c)

x( 11 + 121y)

d)

11x(1 + 11y)

20.

Factorise 11x + 121xy

a)

11(x + 11xy)

b)

7x(1 + 11y)

c)

x( 11 + 121y)

d)

11x(1 + 11y)

21.

Factorise fully 15a + 20ab

a)

3a(5 + 4b)

b)

5a(3 + 4ab)

c)

a(15 + 20b)

d)

5a(3 + 4b)

22.

Factor by removing the HCF:

18a2-15a

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

23.

(a+2b)2−(a2−b2)\left(a+2b\right)^2-\left(a^2-b^2\right)  

a)

3b23b^2  

b)

5b2+4ab5b^2+4ab  

c)

5b2+2ab5b^2+2ab  

d)

a2+4b2a^2+4b^2  

24.

a(x + c) = b(x + d)

a)

X = bd - ac / a - b

b)

X = db + gh / f - f

c)

X = fd - ac / s - d

d)

X = ac + br / d - s

25.
Factor: x2 - 7x - 12 
a)
(x + 4)(x + 3)
b)
(x + 4)(x – 3)
c)
3x2 – 4x + 7
d)
Not factorable
26.
Expand and simplify: (4x + 3)(5x + 6)
a)
20x2 + 39x + 18
b)
20x2 + 9x + 18
c)
20x2 + 18
d)
20x2 – 18 
27.
Expand the expression (x – y)(x + y)(x2 + y2).
a)
x4 + y4
b)
x4 – y4
c)
x2 – y4
d)
x4 – y2
28.
Expand and simplify:
(5h + 4k)2     
a)
25h2 + 40hk + 16k2
b)
25h2 + 40h + 16k2
c)
25h2 + 40hk - 16k2
d)
25h2 - 40hk + 16k2
29.
(3pr + 7)(3pr – 7)
a)
9p2r2 - 49 
b)
9p2r2 + 49 
c)
9p2r2 - 42pr + 49 
d)
9p2r2 - 42pr - 49 

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