SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Division of complex numbers

Grade: 8-b Lesson: S2-L7

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the five problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	Divide (5 − 6i) by (2 + i).	A) \$ 4/5 - 17/5 i\$ B) \$ 7/3 - 2/3 i \$ C) \$ 2/3 +1/5 i\$ D) \$ 2/3 - 1/5 i\$
2	Divide \$ (8 + i)/(2 + 5i) \$.	A) \$ -0.275 - 38/29 i\$ B) \$ 21/29 - 38/29 i\$ C) \$ 6/13 + 4/13 i\$ D) \$ 0.275 + 38/29 i\$
3	Divide by a complex number with a real part of 0: \$ (4 + 3i)/(5i) \$	A) \$ 3/5 - 0.5 i\$ B) \$ - 1/5 + 2/5 i \$ C) \$ 3/5 - 4/5 i\$ D) \$ 3/5 + 0.5 i\$
4	Divide by a complex number with an imaginary part of 0: \$ (7 - 2i)/3 \$	A) \$ 7/3 + 2/3 i \$ B) \$ 8/3 - 7/3 i \$ C) \$ 2/3 - 2/7 i \$ D)\$ 7/3 - 2/3 i \$
5	Divide the following complex number \$ (2i)/(2 + 3i)\$.	A) \$ 21/29 - 38/29 i\$ B) \$ 4/5 - 17/5 i\$ C) \$ 6/15 - 4/13 i\$ D) \$ 6/13 + 4/13 i\$
6	Simplify the following expression: \$ (5 + 6i)/(3 + 4i) \$.	A) \$ (39)/25 + 2/(25) i\$ B) \$ (30)/25 - 4/(25) i\$ C) \$ 39/(25) - 2/(25) i\$ D) \$ (31)/25 + 1/(25) i\$
7	Find the quotient of: \$ (2 + 3i)/(4 - i) \$.	A) \$ 3/(16) + (18)/16 i\$ B) \$ 5/(17) + (14)/17 i\$ C) \$ 7/(16) - (14)/16 i\$ D) \$ 5/(17) - 15/(17) i\$
8	Divide the following complex numbers: \$ (3 + 4i)/(1 + 2i) \$.	A) \$ (11)/5 - 2/5 i \$ B) \$ (13)/5 - 1/5 i \$ C) \$ (11)/5 + 2/5 i \$ D) \$ 9/5 + 2/5 i \$
9	Find an imaginary part of the complex numbers: \$ (7 - 5i)/(2 - 3i) \$.	A) \$ (14)/13 \$ B) \$ (11)/13 \$ C) \$ (11)/12 \$ D) \$ 7/(12) \$
10	Compute the division of these complex numbers: \$ (6 + 2i)/(4 + i) \$.	A) \$ (26)/16 - 3/(16) i \$ B) \$ (24)/17 - 5/(17) i \$ C) \$ (26)/17 + 2/(17) i \$ D) \$ (20)/17 + 7/(17) i \$

Problem Id

Problem

Options

Divide (5 − 6i) by (2 + i).

A) \$ 4/5 - 17/5 i\$

B) \$ 7/3 - 2/3 i \$

C) \$ 2/3 +1/5 i\$

D) \$ 2/3 - 1/5 i\$

Divide \$ (8 + i)/(2 + 5i) \$.

A) \$ -0.275 - 38/29 i\$

B) \$ 21/29 - 38/29 i\$

C) \$ 6/13 + 4/13 i\$

D) \$ 0.275 + 38/29 i\$

Divide by a complex number with a real part of 0:
\$ (4 + 3i)/(5i) \$

A) \$ 3/5 - 0.5 i\$

B) \$ - 1/5 + 2/5 i \$

C) \$ 3/5 - 4/5 i\$

D) \$ 3/5 + 0.5 i\$

Divide by a complex number with an imaginary part of 0:
\$ (7 - 2i)/3 \$

A) \$ 7/3 + 2/3 i \$

B) \$ 8/3 - 7/3 i \$

C) \$ 2/3 - 2/7 i \$

D)\$ 7/3 - 2/3 i \$

Divide the following complex number \$ (2i)/(2 + 3i)\$.

A) \$ 21/29 - 38/29 i\$

B) \$ 4/5 - 17/5 i\$

C) \$ 6/15 - 4/13 i\$

D) \$ 6/13 + 4/13 i\$

Simplify the following expression: \$ (5 + 6i)/(3 + 4i) \$.

A) \$ (39)/25 + 2/(25) i\$

B) \$ (30)/25 - 4/(25) i\$

C) \$ 39/(25) - 2/(25) i\$

D) \$ (31)/25 + 1/(25) i\$

Find the quotient of: \$ (2 + 3i)/(4 - i) \$.

A) \$ 3/(16) + (18)/16 i\$

B) \$ 5/(17) + (14)/17 i\$

C) \$ 7/(16) - (14)/16 i\$

D) \$ 5/(17) - 15/(17) i\$

Divide the following complex numbers: \$ (3 + 4i)/(1 + 2i) \$.

A) \$ (11)/5 - 2/5 i \$

B) \$ (13)/5 - 1/5 i \$

C) \$ (11)/5 + 2/5 i \$

D) \$ 9/5 + 2/5 i \$

Find an imaginary part of the complex numbers: \$ (7 - 5i)/(2 - 3i) \$.

A) \$ (14)/13 \$

B) \$ (11)/13 \$

C) \$ (11)/12 \$

D) \$ 7/(12) \$

Compute the division of these complex numbers: \$ (6 + 2i)/(4 + i) \$.

A) \$ (26)/16 - 3/(16) i \$

B) \$ (24)/17 - 5/(17) i \$

C) \$ (26)/17 + 2/(17) i \$

D) \$ (20)/17 + 7/(17) i \$