WorksheetsUnit 1 Test A - Imaginary Unit, Complex Numbers & Factoring
Total questions: 16
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
Multiply:
(2 - 5i)(2 + 5i)
a)
29
b)
4 - 25i
c)
25 - 10i
d)
-21
2.
(2i)(3i)
a)
5i
b)
-5
c)
6i2
d)
-6
3.
Simplify √-45
a)
3i√5
b)
-3i√5
c)
-i√45
d)
45i
4.
Simplify 2√-32
a)
2i√32
b)
4i√2
c)
8i√2
d)
-16i√2
5.
a)
A
b)
B
c)
C
d)
D
6.
a)
A
b)
B
c)
C
d)
D
7.
Find GCF 15n3+25n2
a)
5
b)
15n
c)
5n2
d)
5n
8.
Factor:
5x3-7x2
5x3-7x2
a)
x2(5x-7)
b)
x(5x2-7x)
c)
x3(5-7x)
d)
Prime
9.
Factor: 49x2 - 100
a)
(49x + 100)(x - 1)
b)
(7x - 10)(7x + 10)
c)
(49x - 10)(x + 10)
d)
(7x -10)(7x - 10)
10.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
11.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
12.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
13.
x3-5x2+5x-25
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
14.
Factor: 49x2−28x+4
a)
(7x+2)(7x−2)
b)
(7x+2)2
c)
(7x−2)2
d)
(3.5x−1)2
15.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
16.
Factor this difference of cubes:
x3 - 343
x3 - 343
a)
(x + 7) (x2 - 7x + 49)
b)
(x2 + 1) (x - 343)
c)
(x - 7) (x2 + 7x + 49)
d)
(x2 - 343) (x + 1)
100 %
