Mac 1114 Module Test 10
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5MAC 1114 Module Test 10
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Perform the indicated operations. Simplify the answer.
-11 ·
-11
1)
C) -11i
D) -11
A) 11i
B) 11
Answer: D
Objective: (8.1) Multiply/Divide Expression with Negative Radicands
In work with alternating current, complex numbers are used to describe current I, voltage E, and impedance Z. These
three quantities are related by the equation E = IZ. Solve the equation E = IZ for the missing variable.
2) I = 7 + 2i, Z = 5 + 4i
A) E = 27 + 38i
B) E = 35 + 46i
C) E = 35 + 8i
D) E = 43 + 38i
Answer: A
Objective: (8.1) Solve Apps: Current, Voltage, Impedance
Find the quotient. Write the answer in standard form.
8 + 4i
3)
6 - 9i
A) 4
+ 32
B) 28
+ 16
C) - 4
+ 32
D) - 28
+ 32
i
i
i
i
39
39
13
13
45
45
15
45
Answer: A
Objective: (8.1) Divide Complex Numbers
Identify the number as real, complex, pure imaginary, or none of these. More than one of these descriptions may
apply.
-2
4)
A) Complex
B) Real, complex
C) Complex, pure imaginary
D) None of these
Answer: C
Objective: (8.1) Identify Number as Real, Complex, or Pure Imaginary
Indicate whether the statement is true always, sometimes, or never.
5) The product of a pair of complex conjugates is a real number.
A) Always
B) Sometimes
C) Never
Answer: A
Objective: (8.1) Know Concepts: Complex Numbers
Find the product. Write the answer in standard form.
6) i(2 - 4i)(9 - 3i)
D) 12i 3 + 42i 2 + 18i
A) -42 - 6i
B) 30 - 30i
C) 42 + 6i
Answer: C
Objective: (8.1) Multiply Complex Numbers
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