WorksheetsAlgebra Factorisation
Total questions: 24
Worksheet time: 55mins
Name
Class
Date
1.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
2.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
3.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
4.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
5.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
6.
Factorise 4x + 14
a)
2(2x+7)
b)
4(x+10)
c)
4(x+3)
d)
2(x+12)
7.
Factorise fully: ab + 4b
a)
a(b+4)
b)
b(a+4)
c)
ab(1+4)
d)
b(a+4b)
8.
Factorise: 4x2 + 8x
a)
4x(x+2)
b)
4(x2+2x)
c)
2x(2x+4)
d)
2(2x2+4)
9.
Factor 7x3 + 4x5
a)
x3(1 + 4x2)
b)
7x3 (1 + 4x2)
c)
x3 (7 + 4x2)
d)
prime
10.
Factor
2x + 16 + xy + 8y
2x + 16 + xy + 8y
a)
(x + 8) (2 + y)
b)
( y + 8) (2x + y)
c)
( y + 8)(x + 2)
d)
(x + 8y)(2 + y)
11.
Factor 49 - w2
a)
(7 - w)2
b)
(7 + w)2
c)
(w + 7)(w - 7)
d)
(7 - w) (7 + w)
12.
Factor 2x2+ 5x + 3
a)
(2x + 3)(x + 1)
b)
x(2x + 5) + 3
c)
(x + 3)(2x - 1)
d)
(2x + 1)(x + 3)
13.
What is the GCF of the trinomial?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
14.
Simplify by collecting like terms:
(2x2+4x)+(4x2-9)
(2x2+4x)+(4x2-9)
a)
6x2+4x-9
b)
8x3-9
c)
19x5
15.
Simplify:
(3z3-4z+8)-(2z3+6z2+2)
(3z3-4z+8)-(2z3+6z2+2)
a)
z3-10z2-6
b)
z3+10z+10
c)
z3+6z2-4z+6
16.
x2 + 3x - 10
a)
(x - 5)(x - 2
b)
(x + 5)(x + 2)
c)
(x - 5)(x + 2)
d)
(x + 5)(x - 2)
17.
x2 - 15x + 56
a)
(x - 5)(x - 3)
b)
(x - 8)(x + 7)
c)
(x + 8)(x + 7)
d)
(x - 8)(x - 7)
18.
x2 - 12x + 27
a)
(x - 6)(x - 2)
b)
(x - 9)(x - 3)
c)
(x + 9)(x + 3)
d)
(x - 9)(x + 3)
19.
factor 7x2 + 15x + 2
a)
(7x - 1)(x + 2)
b)
(7x + 1)(x - 2)
c)
(7x - 1)(x - 2)
d)
(7x + 1)(x + 2)
20.
Simplify:
2y2 x 3y4
2y2 x 3y4
a)
5y8
b)
5y6
c)
6y8
d)
6y6
21.
Simplify:
14a4b5 ÷ 7a3b
14a4b5 ÷ 7a3b
a)
7ab4
b)
7a7b6
c)
2ab4
d)
2a2b2
22.
factor 2x2 + 17x + 21
a)
(2x + 3)(x - 7)
b)
(2x + 3)(x + 7)
c)
(2x - 3)(x + 7)
d)
(2x - 3)(x - 7)
23.
factor 3x2 - 16x + 16
a)
(x - 4)(3x - 4)
b)
(x + 4)(3x - 4)
c)
(x - 4)(3x + 4)
d)
(x + 4)(3x + 4)
24.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
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