Unit Test — Unit test Answers

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Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)?

A
(–1 + i) + (21 + 5i) + 0
B
–1 + (i + 21) + 5i
C
(–1 + 21) + (i + 5i)
D
–(1 – i) + (21 + 5i)
22
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What is the modulus of 6 + 7i?

A
root 13
Option A
B
i root 13
Option B
C
i
Option C
D
root 85
Option D
23

What is the midpoint of a segment in the complex plane with endpoints at 6 – 2i and –4 + 6i?

A
1 + 2i
B
2 + i
C
2 + 4i
D
5 + 4i
24

The first two steps in the derivation of the quadratic formula by completing the square are shown below. Which answer choice shows the correct next step?Step 1: Step 2:

Question illustration
A
mc031-3.jpg
Option A
B
mc031-4.jpg
Option B
C
mc031-5.jpg
Option C
D
mc031-6.jpg
Option D
25

What is the discriminant of ?

Question illustration
A
76
B
94
C
106
D
124
26

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
27

A circle has a diameter with endpoints at 3 – 5i and –8 + 2i. What is the center of the circle?

A
–5 – 3i
B
StartFraction negative 5 over 2 EndFraction minus StartFraction 3 over 2 EndFraction i
Option B
C
StartFraction 11 over 2 EndFraction minus StartFraction 7 over 2 EndFraction i
Option C
D
11 – 7i
28

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?

A
8 – 6i
B
8 + 6i
C
8 – 2i
D
8 + 2i
29

What is the length of the radius of a circle with a center at the origin and a point on the circle at 8 + 15i?

A
i start root 7 end root
Option A
B
i start root 161 end root
Option B
C
15
D
17

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