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PM 5000 Un acercamiento a la ingeniería
Agosto-diciembre 2016
Prepa Tec
Campus Aguascalientes
Actividad 6 Números Complejos I
Nombre_____________________________Matrícula_____________ Número de lista_______
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may
apply.
1) 12 - 5i
1)
A) complex, pure imaginary
B) real, complex
C) none of these
D) complex, nonreal complex
2) 13
3)
2)
A) complex, nonreal complex
C) real, complex
B) pure imaginary
D) complex, pure imaginary
9i
A) complex, pure imaginary
C) real, complex
B) real
D) complex, nonreal complex
3)
Write the number as the product of a real number and i.
4) -25
A) -i 25
B) 5 i
5) - -121
A) 11
6) - -175
A) 5i 7
4)
5)
B) i 121
C) 11i
9)
10)
D) -11i
6)
B) -5 7i
Perform the indicated operations. Simplify the answer.
7) -3 ∙ -3
A) 3
B) 3i
8)
D) -5i
C) 5i
C) 5 7i
D) -5i 7
C) -3i
D) -3
7)
-125 ∙ -5
A) 5
B) -25
C) 25i
D) 5i
-3 ∙ -5
A) - 15i
B) 15
C) - 15
D) 15i
8)
9)
-33
-3
A) 11
10)
B) 11i
C)
1
11
D) i 11
11)
-8
128
A) - 11)
i
4
B)
i
4
C)
1
4
D) - 1
4
Write the number in standard form a + bi.
-4 - -20
12)
2
A) -2 + i 5
13)
12)
B) -2 - i 5
C) -2 - i 10
D) -2 + i 10
6 + -63
3
A) 2 - i 7
13)
B) 2 + i 7
C) 2 - i 21
Perform the indicated operation. Write the result in standard form.
14) (3 - 7i) + (9 + 5i)
A) -12 + 2i
B) 12 - 2i
C) 12 + 2i
15) (-5 - 7i) + (10 + 4i)
A) 10 - 3i
16) (-4 - 5i) - (7 - i)
A) -11 + 4i
D) 2 + i 21
14)
D) -6 + 12i
15)
C) 10 + 3i
B) 5 + 3i
D) 5 - 3i
16)
C) -11 - 5i
D) 11 + 4i
17) (9 + 7i) - (-4 + 3i) + (-1 - 7i)
A) 12 + 3i
B) 4 + 3i
C) 12 - 3i
D) -12 + 11i
Find the product. Write the answer in standard form.
18) 2i(8 - 7i)
A) - 16i - 14i2
B) 14 + 16i
C) 16i - 14
D) 16i + 14i2
C) -63i2 + 9i - 54
D) -9 - 117i
19) (9 - 9i)(6 + 7i)
A) 117 + 9i
B) -11 - 4i
17)
18)
19)
B) 117 - 9i
20) 3i(3 + 6i)2
20)
A) -108i + 108i2 + 108i3
B) -81i
C) -81 + 108i
D) -108 - 81i
21) ( 13 - 7i)( 13 + 7i)
A) 13 - 49i
22) (5 + i)(5 - i)(2 - 3i)
A) 48 - 72i
21)
B) 20
C) 62
D) 13 + 49i
22)
B) 52 - 78i
C) 22 - 98i
2
D) 18 - 92i
Simplify the power of i.
23) i96
A) 1
24) i49
A) i
25)
B) -i
C) i
D) -1
B) 1
C) -1
D) -i
24)
1
27
i
25)
A) 1
26)
23)
C) -i
B) i
D) -1
1
-8
i
26)
A) 1
B) -i
C) -1
D) i
Find the quotient. Write the answer in standard form.
8 + 3i
27)
6 - 9i
5 2
A) - + i
3 3
28)
1
17
- i
25 25
C) - 7
2
+ i
45 3
D)
7
10
+ i
39 13
28)
B) - 17
i
25
C) - 19 17
- i
25 25
D)
19 17
- i
25 25
-10
-i
29)
A) -10i
30)
25 18
+ i
13 13
5 - i
-3 + 4i
A)
29)
B)
27)
B) -10
C) 10i
D) 10
6 - 9i
6 + 2i
A)
30)
9
33
+ i
32 32
B)
27 33
+ i
16 32
C)
9
33
- i
20 20
D)
27 21
+ i
10 10
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.
31)
31) I = 7 + 2i, Z = 5 + 4i
B) E = 35 + 8i
C) E = 43 + 38i
D) E = 27 + 38i
A) E = 35 + 46i
3
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