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Q2M9 - PETA II - Average Roound

Total questions: 10

Worksheet time: 15mins

Name
Class
Date
1.

Simplify the complex numbers: (6 − 6i) + (7 + 6i)

a)

13 + 12i

b)

-13 – 12i

c)

13

d)

13i

2.

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  

3.

Simplify the expression:
(5 + 14i)  (10 + 2i)\left(5\ +\ 14i\right)\ -\ \left(10\ +\ 2i\right)  

a)

5 16i5\ -16i  

b)

5 + 16i-5\ +\ 16i  

c)

5  12i5\ -\ 12i  

d)

5 + 12i-5\ +\ 12i  

4.

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  

5.

Simplify: (1 + 3i) + (7  2i)\left(1\ +\ 3i\right)\ +\ \left(7\ -\ 2i\right)  

a)

8+i

b)

i+8

c)

8+5i

d)

5i+8

6.

Simplify

(12 - 4i) + (-2 + 8i)

a)

8 + 104i

b)

10 + 4i

c)

14 - 4i

d)

10 - 12i

7.

What is the discriminant of -2x2 − x − 1 = 0

a)

76

b)

-7

c)

9

d)

none of these

8.

How many solutions will this quadratic equation x2+8x+16 has?

a)

2 real solutions

b)

2 imaginary solution

c)

1 solution

d)

3 solutions

9.

Write this equation x2 -6 = x in standard form.

a)

x2 +6x=0

b)

x2 -6x=0

c)

x2 -x -6 =0

d)

x2 +x -6

10.

What does i2 equal?

a)

-1

b)

√-1

c)

1

d)

-√1