AnswersAlgebra III AComplex Numbers

Operations with Complex Numbers Answers

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Which complex number has an absolute value of 5?

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

Which of the following is equivalent to ?

Question illustration
A
5i
B
18 – 5i
C
18 + 5i
D
23
4

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
5

Which expression is equivalent to i 233?

A
1
B
–1
C
i
D
–i
6

Which expression is equivalent to ?

Question illustration
A
Negative 4 StartRoot 5 EndRoot
Option A
B
Negative 4 StartRoot 5 EndRoot i
Option B
C
4 StartRoot 5 EndRoot i
Option C
D
4 StartRoot 5 EndRoot
Option D
7

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
8

If , what is the value of i 3?

Question illustration
A
–1
B
i
C
1
D
–i
9

Which complex number is represented by the point graphed on the complex plane below?

Question illustration
A
–4 + 3i
B
3 + 4i
C
3 – 4i
D
4 + 3i
10

What is the square root of –16?

A
–8i
B
–4i
C
4i
D
8i

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