SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Multiplication of complex numbers

Grade: 8-b Lesson: S2-L6

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: at Home

Problem Id	Problem	Options
1	Find the product of the following complex numbers: \$(2 -\sqrt4 i)\$ and \$(1 + \sqrt9 i)\$.	A) 4 + 8i B) 8 + 4i C) 4 - 8i D) 8 - 4i
2	Determine the values of s and m: (3 + si) ( 4 + i) = 2 - (4m - 6)i.	A) m = 10 and \$s = - 4/(37)\$ B) s = 10 and \$m = - (37)/4\$ C) m = 10 and \$s = - (37)/4\$ D) s = 10 and \$m = - 4/(37)\$
3	Multiply the complex numbers \$\sqrt(- 16) + 3i\$ by \$5( - 2 - 4i)\$.	A) - 140 - 70i B) 140 + 70i C) - 140 + 70i D) 140 - 70i
4	Calculate the product of complex numbers \$(5 - 5i) times ( 5 + 5i)\$.	A) 50i B) 50 - 50i C) 50 + 50i D) 50
5	Multiply the following expression \$15 - 3(4i)\$ by \$ 2 + (3i)^2\$.	A) 105 + 84i B) -84 - 105i C) - 105 + 84i D) -84 + 105i
6	Find a and b if: (a + bi)(2 − 3i) = 4 + 7i	A)a = -2, b = 5 B) a = -3, b = 7 C) a = -1, b = 2 D) sa = 0, b = 0
7	Compute the result of multiplying (4 − 3i) and (2 + 6i).	A) 26 + 18i B) 21 - 5i C) 13 + 7i D) 16 + 4i
8	Determine the product of (x − yi) and (2x + 3yi).	A) \$ 2x^2 + 3y^2 + xyi \$ B) \$ 5x^2y^2 + xyi \$ C) \$ 3x^2 - 2y^2 + xyi \$ D) \$ 2x^2 + 3y^2 + 6xyi \$
9	Multiply \$(1 + 2i) "by" (1 + 2i)^2\$.	A) - 2 + 15i B) - 11 - 2i C) 32 + 17i D) 26i
10	Find the product of (2i) and (− 3i).	A) -6 B) 6 C) 5i D) i

Problem Id

Problem

Options

Find the product of the following complex numbers: \$(2 -\sqrt4 i)\$ and \$(1 + \sqrt9 i)\$.

A) 4 + 8i

B) 8 + 4i

C) 4 - 8i

D) 8 - 4i

Determine the values of s and m: (3 + si) ( 4 + i) = 2 - (4m - 6)i.

A) m = 10 and \$s = - 4/(37)\$

B) s = 10 and \$m = - (37)/4\$

C) m = 10 and \$s = - (37)/4\$

D) s = 10 and \$m = - 4/(37)\$

Multiply the complex numbers \$\sqrt(- 16) + 3i\$ by \$5( - 2 - 4i)\$.

A) - 140 - 70i

B) 140 + 70i

C) - 140 + 70i

D) 140 - 70i

Calculate the product of complex numbers \$(5 - 5i) times ( 5 + 5i)\$.

A) 50i

B) 50 - 50i

C) 50 + 50i

D) 50

Multiply the following expression \$15 - 3(4i)\$ by \$ 2 + (3i)^2\$.

A) 105 + 84i

B) -84 - 105i

C) - 105 + 84i

D) -84 + 105i

Find a and b if:
(a + bi)(2 − 3i) = 4 + 7i

A)a = -2, b = 5

B) a = -3, b = 7

C) a = -1, b = 2

D) sa = 0, b = 0

Compute the result of multiplying (4 − 3i) and (2 + 6i).

A) 26 + 18i

B) 21 - 5i

C) 13 + 7i

D) 16 + 4i

Determine the product of (x − yi) and (2x + 3yi).

A) \$ 2x^2 + 3y^2 + xyi \$

B) \$ 5x^2y^2 + xyi \$

C) \$ 3x^2 - 2y^2 + xyi \$

D) \$ 2x^2 + 3y^2 + 6xyi \$

Multiply \$(1 + 2i) "by" (1 + 2i)^2\$.

A) - 2 + 15i

B) - 11 - 2i

C) 32 + 17i

D) 26i

Find the product of (2i) and (− 3i).

A) -6

B) 6

C) 5i

D) i