Complex Numbers I - Ambitious

Question 1: Solve:

(7 + 5 i) - (2 + 3 i)

A

7

B

5 + 2 i

C

12 + 8 i

D

5 - 2 i

Question 2: Solve:

(2 + 3 i) (3 + 4 i)

A

- 6 + 17 i

B

6 - 12 i

C

2 - 12 i

D

4 + 17 i

Question 3: Simplify:

i^{13}

A

i

B

- i

C

- 1

D

1

Question 4: Simplify:

{(3 - 4 i)}^{2}

A

- 7 - 24 i

B

25 - 24 i

C

- i

D

9 - 16 i

Question 5: Simplify: (2 - 5i)(2 + 5i)

A

- 16

B

29

C

4 - 25 i

D

4 + 25 i

Question 6: Simplify:

i^{27}

A

1

B

- 1

C

i

D

- i

Question 7: Simplify:

\frac{4 - 3 i}{2}

A

2 - 2 i

B

2 - \frac{3}{2} i

C

2 - 3 i

D

1

Question 8: Simplify:

\frac{8 - 5 i}{7 + 4 i}

A

1 \frac{1}{6} - 1 \frac{1}{32} i

B

1 \frac{2}{7} + 1 \frac{1}{15} i

C

\frac{17}{28} - 2 \frac{4}{67} i

D

\frac{36}{65} - 1 \frac{2}{65} i

Question 9: Simplify:

\frac{- 2 - 3 i}{4 + 5 i}

A

\frac{13}{67} + \frac{2}{35} i

B

\frac{2}{15} + \frac{1}{17} i

C

- \frac{23}{41} - \frac{2}{41} i

D

- \frac{7}{25} + \frac{2}{43} i

Question 10: Simplify:

\frac{(1 + 2 i) (3 - 5 i)}{6 - 8 i}

A

\frac{27}{43} - \frac{47 i}{59}

B

1 + \frac{12 i}{49}

C

\frac{7}{10} + 1 \frac{1}{10} i

D

- \frac{33}{47} + \frac{45 i}{57}

Test: Complex Numbers I - Ambitious

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