SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Addition and Subtraction of complex numbers

Grade: 8-b Lesson: S2-L5

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	Add the complex numbers (4 + 5i) + (1 − 2i).	A) - 3 + 5i B) 5 + 3i C) 7 - 4i D) 2 + 9i
2	Subtract the complex numbers (10 + 2i) − (3 − 2i).	A) 2 + 3i B) 10 + 8i C) 7 + 4i D) - 9 - 2i
3	Add and then subtract the given complex numbers: (4 + 3i) + (2 + 5i) − (1 − i)	A) 4 - 2i B) 8 + 3i C) - 7i + 2 D) 5 + 9i
4	Subtract the result of the addition of two complex numbers from another complex number: (6 + 4i) − ((3 + 2i) + (1 − i)	A) 2 + 3i B) 3 - 2i C) 2i + 3 D) 2 - 3i
5	Add three complex numbers: (−2 + 3i) + (9 − 0i) + (3 + 5i).	A) 10 + 8i B) 3i C) 0 D) 2 + 9i
6	Simplify the expression: (7 + 5i) + (4 - 8i) - (6 + 3i) + (2i - 9).	A) - 4 - 4i B) - 4 + 2i C) 4 - 2i D) 4 - 4i
7	If a = 6 + 2i and b = 4 - 5i, evaluate: 3a - 2b + (b - a).	A) 8 + 9i B) 18 - 9i C) 18 + 9i D) 8 + 19i
8	Find the result of: (8 + 15i) - 3(5 - 4i) + 2(1 + 6i).	A) 5 - 29i B) - 5 + 39i C) - 5 + 45i D) 5 - 21i
9	If \$z_1 = 12 + 7i\$ and \$z_2 = -4 - 3i\$, compute: \$z_1 + 2z_2 - (3 - i)\$.	A) 2 + 7i B) 4 + 6i C) 1 + 2i D) -1 - 7i
10	Calculate the following expression: (10 + 2i) + 5(4 - 3i) - (7 + 6i) + 2(8 - 2i).	A) 23 + 32i B) 32 - 23i C) 34 + 29i D) 39 - 23i

Problem Id

Problem

Options

Add the complex numbers (4 + 5i) + (1 − 2i).

A) - 3 + 5i

B) 5 + 3i

C) 7 - 4i

D) 2 + 9i

Subtract the complex numbers (10 + 2i) − (3 − 2i).

A) 2 + 3i

B) 10 + 8i

C) 7 + 4i

D) - 9 - 2i

Add and then subtract the given complex numbers:
(4 + 3i) + (2 + 5i) − (1 − i)

A) 4 - 2i

B) 8 + 3i

C) - 7i + 2

D) 5 + 9i

Subtract the result of the addition of two complex numbers from another complex number:
(6 + 4i) − ((3 + 2i) + (1 − i)

A) 2 + 3i

B) 3 - 2i

C) 2i + 3

D) 2 - 3i

Add three complex numbers: (−2 + 3i) + (9 − 0i) + (3 + 5i).

A) 10 + 8i

B) 3i

C) 0

D) 2 + 9i

Simplify the expression: (7 + 5i) + (4 - 8i) - (6 + 3i) + (2i - 9).

A) - 4 - 4i

B) - 4 + 2i

C) 4 - 2i

D) 4 - 4i

If a = 6 + 2i and b = 4 - 5i, evaluate: 3a - 2b + (b - a).

A) 8 + 9i

B) 18 - 9i

C) 18 + 9i

D) 8 + 19i

Find the result of:
(8 + 15i) - 3(5 - 4i) + 2(1 + 6i).

A) 5 - 29i

B) - 5 + 39i

C) - 5 + 45i

D) 5 - 21i

If \$z_1 = 12 + 7i\$ and \$z_2 = -4 - 3i\$, compute: \$z_1 + 2z_2 - (3 - i)\$.

A) 2 + 7i

B) 4 + 6i

C) 1 + 2i

D) -1 - 7i

Calculate the following expression:
(10 + 2i) + 5(4 - 3i) - (7 + 6i) + 2(8 - 2i).

A) 23 + 32i

B) 32 - 23i

C) 34 + 29i

D) 39 - 23i