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WorksheetsEXPANSION & FACTORISATION
Total questions: 15
Worksheet time: 33mins
Name
Class
Date
1.
Which of the following expressions is equivalent to x2 – 4y2?
a)
(x + 2)(x – 2)
b)
(x – 2y)2
c)
(x + 2y)(x – 2y)
d)
(x + 2y)2
2.
Factor: a2 – 196
a)
(a + 13)(a – 13)
b)
(a – 13)2
c)
(a + 14)(a – 14)
d)
(a – 14)2
3.
Factor: x2 - 7x - 12
a)
(x + 4)(x + 3)
b)
(x + 4)(x – 3)
c)
3x2 – 4x + 7
d)
Not factorable
4.
Factor: 8xv – 6vw + 15wz – 20xz
a)
(3w – 4x)(5z – 2v)
b)
(5w – 4x)(3z – 2v)
c)
(4x – 3w)(5z – 2v)
d)
(2w – 3x)(5z – 4v)
5.
(3pr + 7)(3pr – 7)
a)
9p2r2 - 49
b)
9p2r2 + 49
c)
9p2r2 - 42pr + 49
d)
9p2r2 - 42pr - 49
6.
Expand 4(2x + 3)
a)
6x + 7
b)
8x + 3
c)
6x + 12
d)
8x + 12
7.
Expand - x(2 - 3x)
a)
- 2x -3x2
b)
- 2 + 3x2
c)
- 2x - 4x
d)
- 2x + 3x2
8.
Expand and simplify 2x - (3x - 2)
a)
x + 2
b)
-x - 2
c)
-x + 2
d)
x - 2
9.
Expand and simplify (x + 3)(x - 3)
a)
x2 + 6x - 9
b)
x2 - 6x - 9
c)
x2 - 9
d)
x2 + 9
10.
Factorise 11x + 121xy
a)
x( 11 + 121y)
b)
11(x + 11xy)
c)
11x(0 + 11y)
d)
7x(1 + 11y)
11.
Factorise x2 + 8x + 16
a)
(x + 4)(x - 4)
b)
x(x + 8) + 16
c)
(x + 4)2
d)
(x - 4)2
12.
Factorise x2 - 36
a)
(x - 6)2
b)
(x + 6)(x - 6)
c)
x2 - 62
d)
(x + 6)2
13.
(4x-2)
a)
2(2x-1)
b)
4(x-2)
c)
2(x-1)
14.
Expand - x(2 - 3x)
a)
- 2x -3x2
b)
- 2 + 3x2
c)
- 2x - 4x
d)
- 2x + 3x2
15.
Expand and simplify 2x - (3x - 2)
a)
x + 2
b)
-x - 2
c)
-x + 2
d)
x - 2
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