AnswersFL-1200330-Algebra 2 Sem 1 - FlexRelations and Functions

Complex Numbers Answers

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1
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Which expression is equivalent to i 233?

A
1
B
–1
C
i
D
–i
2
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In which quadrant is the number –14 – 5i located on the complex plane?

A
I
B
II
C
III
D
IV
3

Which complex number has an absolute value of 5?

A
–3 + 4i
B
2 + 3i
C
7 – 2i
D
9 + 4i
4

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?

A
–2 + i
B
–2 – i
C
2 + i
D
2 – i
5

If , what is the value of i 3?

Question illustration
A
–1
B
i
C
1
D
–i
6

Which of the following is an example of a complex number that is not in the set of real numbers?

A
-7
B
2 + StartRoot 3 EndRoot
Option B
C
4 + 9i
D
Pi
Option D
7

What is the distance from the origin to point A graphed on the complex plane below?

Question illustration
A
StartRoot 5 EndRoot
Option A
B
StartRoot 13 EndRoot
Option B
C
9
D
13
8

Which of the following is equivalent to ?

Question illustration
A
5i
B
18 – 5i
C
18 + 5i
D
23
9

What is the square root of –16?

A
–8i
B
–4i
C
4i
D
8i
10

What is the sum of and ?

Question illustration
A
4 StartRoot 2 EndRoot
Option A
B
4 StartRoot 2 EndRoot i
Option B
C
5 StartRoot 2 EndRoot
Option C
D
5 StartRoot 2 EndRoot i
Option D
11

Which expression is equivalent to i 233?

A
1
B
–1
C
i
D
–i
12

If f(x) = 1 – x, which value is equivalent to |f(i)|?

A
0
B
1
C
StartRoot 2 EndRoot
Option C
D
StartRoot negative 1 EndRoot
Option D
13

Which of the following is an example of a complex number that is not in the set of real numbers?

A
-7
B
2 + StartRoot 3 EndRoot
Option B
C
4 + 9i
D
Pi
Option D
14

What is the sum of and ?

Question illustration
A
4 StartRoot 2 EndRoot
Option A
B
4 StartRoot 2 EndRoot i
Option B
C
5 StartRoot 2 EndRoot
Option C
D
5 StartRoot 2 EndRoot i
Option D
15

If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?

A
2
B
4
C
9
D
10
16

What is the square root of –16?

A
–8i
B
–4i
C
4i
D
8i
17

What is the distance from the origin to point A graphed on the complex plane below?

Question illustration
A
StartRoot 5 EndRoot
Option A
B
StartRoot 13 EndRoot
Option B
C
9
D
13
18

If , what is the value of i 3?

Question illustration
A
–1
B
i
C
1
D
–i
19

Which complex number has a distance of from the origin on the complex plane?

Question illustration
A
2 + 15i
B
17 + i
C
20 – 3i
D
4 – i
20

What is the square root of -1?

A
–i
B
i
C
–1
D
1

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