AnswersAlgebra III AQuadratic Inequalities

Complex Numbers Answers

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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
2
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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
3

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
4

If , what is the value of i 3?

Question illustration
A
–1
B
i
C
1
D
–i
5

Which expression is equivalent to i 233?

A
1
B
–1
C
i
D
–i
6

What is the square root of -1?

A
–i
B
i
C
–1
D
1
7

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
8

In which quadrant is the number –14 – 5i located on the complex plane?

A
I
B
II
C
III
D
IV
9

Which complex number has an absolute value of 5?

A
–3 + 4i
B
2 + 3i
C
7 – 2i
D
9 + 4i
10

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

A
–2 + i
B
–2 – i
C
2 + i
D
2 – i

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