SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

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: in Class

Problem Id	Problem	Options
1	Calculate the product of the following complex numbers: (2 + 3i)*(4 − i).	A) 21 + 5i B) 11 + 10i C) 3 + 1i D) 34 + 7i
2	Find the values of x and y for which: (x + yi)(2 - i) = 3 + 4i	A) \$ x = 7/5, y = 9/5 \$ B) \$ x = 2/5, y = 11/5 \$ C) \$ x = 2/5, y = 16/5 \$ D) \$ x = 1/5, y = 11/5 \$
3	Determine the result of multiplying \$ (1 + sqrt3 i)\$ and \$ (2 - sqrt3 i)\$.	A) \$ 3 + isqrt3 \$ B) \$ 5 - isqrt5 \$ C) \$ 3 + isqrt5 \$ D) \$ 5 + isqrt3 \$
4	Multiply (5 − 3i) and (2 + 2i), and express in standard form.	A) 11 + 10i B) 21 - 5i C) 34 D) 16 + 4i
5	Solve for p and q where: (2 + pi)(3 − 4i) = 6 + (3q − 8)i	A) p = 3, q = 2 B) p = 0, q = 1 C) p = 0, q = 0 D) p = -2, q = 1
6	Compute the product of the complex numbers (3 + 4i) and (2 − 5i). Express your answer in standard form.	A) 25 - 6i B) 25 + 6i C) 26 - 7i D) 26 - 6i
7	Find the product of (2 − 3i) and (4 + 7i). Provide the result in standard complex form.	A) 29 + 2i B) 26 + 2i C) 26 - 2i D) 2 - 26i
8	Multiply the complex numbers (x + yi) and (a - bi), then expand and simplify the expression where x = 2, y = 3, a = 4, and b = 5.	A) 23 + 2i B) 32 + 6i C) 11 + 2i D) 21 + 5i
9	Compute the product of (1 + 2i) and (3 - 4i), and express the result as a single complex number in its simplest form.	A) -54 + 203i B) 11 + 2i C) 26 - 7i D) 3 + 1i
10	Compute the product of the complex numbers (3 + 4i) and \$(26 + 33i)\$. Express the result in standard form.	A) 29 + 2i B) -54 + 203i C) 32 + 6i D) 11 + 10i

Problem Id

Problem

Options

Calculate the product of the following complex numbers:
(2 + 3i)*(4 − i).

A) 21 + 5i

B) 11 + 10i

C) 3 + 1i

D) 34 + 7i

Find the values of x and y for which:
(x + yi)(2 - i) = 3 + 4i

A) \$ x = 7/5, y = 9/5 \$

B) \$ x = 2/5, y = 11/5 \$

C) \$ x = 2/5, y = 16/5 \$

D) \$ x = 1/5, y = 11/5 \$

Determine the result of multiplying \$ (1 + sqrt3 i)\$ and \$ (2 - sqrt3 i)\$.

A) \$ 3 + isqrt3 \$

B) \$ 5 - isqrt5 \$

C) \$ 3 + isqrt5 \$

D) \$ 5 + isqrt3 \$

Multiply (5 − 3i) and (2 + 2i), and express in standard form.

A) 11 + 10i

B) 21 - 5i

C) 34

D) 16 + 4i

Solve for p and q where:
(2 + pi)(3 − 4i) = 6 + (3q − 8)i

A) p = 3, q = 2

B) p = 0, q = 1

C) p = 0, q = 0

D) p = -2, q = 1

Compute the product of the complex numbers (3 + 4i) and (2 − 5i). Express your answer in standard form.

A) 25 - 6i

B) 25 + 6i

C) 26 - 7i

D) 26 - 6i

Find the product of (2 − 3i) and (4 + 7i). Provide the result in standard complex form.

A) 29 + 2i

B) 26 + 2i

C) 26 - 2i

D) 2 - 26i

Multiply the complex numbers (x + yi) and (a - bi), then expand and simplify the expression where x = 2, y = 3, a = 4, and b = 5.

A) 23 + 2i

B) 32 + 6i

C) 11 + 2i

D) 21 + 5i

Compute the product of (1 + 2i) and (3 - 4i), and express the result as a single complex number in its simplest form.

A) -54 + 203i

B) 11 + 2i

C) 26 - 7i

D) 3 + 1i

Compute the product of the complex numbers (3 + 4i) and \$(26 + 33i)\$. Express the result in standard form.

A) 29 + 2i

B) -54 + 203i

C) 32 + 6i

D) 11 + 10i