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Unit 1 Quadratics Revisited

Total questions: 12

Worksheet time: 33mins

Name
Class
Date
1.

What is the simplified form of (-9 + 5i) + (3 -2i)

a)

-12 + 31i

b)

-6 + 3i

c)

-11 + 7i

d)

5 - 3i

2.

What is the simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

3.

Simplify the expression:
(1 + 5i) + (1 − 5i)\left(1\ +\ 5i\right)\ +\ \left(1\ -\ 5i\right)  

a)

2 + 10i2\ +\ 10i  

b)

2 + 10i22\ +\ 10i^2  

c)

22  

d)

−8-8  

4.

Simplify the expression:
(8 + 9i) + (4 − 6i)\left(8\ +\ 9i\right)\ +\ \left(4\ -\ 6i\right)  

a)

17 + 3i17\ +\ 3i  

b)

12 + 3i212\ +\ 3i^2  

c)

17 −2i17\ -2i  

d)

12 + 3i12\ +\ 3i  

5.

Simplify the expression:
(5 + 4i) − (−1 − 2i)\left(5\ +\ 4i\right)\ -\ \left(-1\ -\ 2i\right)  

a)

6 +6i6\ +6i  

b)

4 + 2i4\ +\ 2i  

c)

6 − 6i6\ -\ 6i  

d)

4 − 2i4\ -\ 2i  

6.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i2

7.
Multiply
3i(-2 + 4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
8.
Simplify: 
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i  - 12i2
c)
51 - 24i
d)
58 + 60i
9.
Find the product:
(3x – 1)(x + 5) 
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
10.
Factor 9x2-64
a)
(3x-8)(3x+8)
b)
(2x-8)(2x+8)
c)
(3x-4)(3x+4)
d)
(3x-8)2
11.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

12.
Factor:
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)