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Complex Numbers and Square Roots

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Complex Numbers and Square Roots
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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A complex number can be expressed as a + bi. What does a represent?

the real part of the complex number

the imaginary part of the complex number

depends on the sign of the number

the square root of the complex number

Tags

CCSS.HSN.CN.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The complex conjugate can be found by...

Changing the sign of both a and b

Changing the sign of a

Changing the sign of b

Switching the a and b values

Tags

CCSS.HSN.CN.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The complex conjugate of 4 + 3i is

3 + 4i

3 - 4i

4 - 3i

4 + 3i

Tags

CCSS.HSN.CN.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the standard form for a complex number?

-8i

a + bi

bi + a

-8i + 8

Tags

CCSS.HSN.CN.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve for x: 

x = {-4, -1}

x = {-1, -4}

x = {2+i, 2-i}

x = {-2+i, -2-i}

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify

(12 - 4i) + (-2 + 8i)

8 + 104i

10 + 4i

14 - 4i

10 - 12i

Tags

CCSS.HSN.CN.A.2

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

You can simplify powers of i by... (Choose all correct answers)

dividing the exponent by 4 then use the remainder to determine the value

multiplying the exponent by 3 and then subtracting 2

using the clock diagram and counting off the power until you get to the power in the problem

taking the square root

Tags

CCSS.HSN.CN.A.2

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