LKJHGFDSA
TEST BANK
Precalculus 6th Edition
by Robert Blitzer
N
6th Edition
U
R
SE
D
O
C
S
LKJHGFDSA
, Test bank for Precalculus 6th Edition by
Robert F. Blitzer
Sample Questions
Ch. 2 Polynomial and Rational Functions
2.1 Complex Numbers
N
1 Add and Subtract Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
U
Add or subtract as indicated and write the outcome in standard
form.1) (5 – 6i) + (9 + 9i)
A) 14 + 3i B) 14 – 3i C) -4 + 15i D) -14 – 3i
R
2) (9 + 5i) – (-8 + i)
A) 17 + 4i B) 17 – 4i C) 1 + 6i D) -17 – 4i
3) 8i + (-7 – i)
A) -7 + 7i B) -7 + 9i C) 7 – 7i D) 7 – 9i
SE
4) 5i – (-5 – i)
A) 5 + 6i B) -5 – 6i C) 5 – 4i D) -5 + 4i
5) (-7 + 6i) – 9
A) -16 + 6i B) 16 – 6i C) 2 + 6i D) 2 – 6i
6) -2 – (- 2 – 8i) – (- 2 – 6i)
A) 2 + 14i B) 2 – 14i C) 4 – 14i D) 4 + 14i
D
7) (4 – 3i) + (1 – 6i) + (4 + 5i)
O
C
S
,A) 9 – 4i B) 7 + 8i C) 1 – 14i D) 5 – 9i
2 Multiply Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
Find the product and write the outcome in standard
form.1) -5i(3i – 9)
A) 15 + 45i B) -15 + 45i C) 45i – 15i2 D) 45i + 15i2
2) 7i(-3i + 6)
N
A) 21 + 42i B) -21 + 42i C) 42i – 21i2 D) 42i + 21i2
3) (9 + 8i)(5 – 5i)
A) 85 – 5i B) 85 + 5i C) 5 + 85i D) -40i2 – 5i + 45
4) (-6 + 9i)(5 + i)
U
A) -39 + 39i B) -21 + 39i C) -39 – 51i D) -21 – 51i
5) (8 – 6i)(-5 – 3i)
A) -58 + 6i B) -58 – 54i C) -22 + 6i D) -22 – 54i
R
6) (9 + 3i)(9 – 3i)
A) 90 B) 81 – 9i2 C) 72 D) 81 – 9i
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7) (-4 + i)(-4 – i)
A) 17 B) -4 C) 16 D) -15
8) (4 + 9i)2
A) -65 + 72i B) 97 + 72i C) -65 D) 16 + 72i + 81i2
Perform the indicated operations and write the outcome in standard
form.9) (7 + 8i)(3 – i) – (1 – i)(1 + i)
D
A) 27 + 17i B) 31 + 17i C) 29 + 17i D) 27 + 31i
10) (2 + i)2 – (6 – i)2
A) -32 + 16i B) 32 + 16i C) -48 D) -32 – 16i
Complex numbers are used in electronics to describe the current in an electric
O
circuit. Ohm’s law relates the current
in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the
resistance of the circuit, R, in ohms, by the
C
formula E = IR. Solve the problem using this formula.
11) Find E, the voltage of a circuit, if I = (8 + 9i) amperes and R = (4 + 7i)
ohms.
A) (-31 + 92i) volts B) (-31 – 92i) volts C) (92 – 31i) volts D) (92 + 31i) volts
S
12) Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (2 + 3i)
ohms.
A) (33 + 56i) volts B) (33 – 56i) volts C) (-18 + 56i) volts D) (-18 – 56i) volts
3 Divide Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
, Divide and express the outcome in standard
form.1) 7
8–i
A) 56
65
+7
65
i B) 56
N
65
–7
65
i C) 89
U
+ 19i D) 89
– 19
i
R
2) 8
2+i
A) 16
SE
5
– 85
i B) 16
5
+ 85
i C) 16
D
3
+ 83
i D) 16
3
O
– 83
i
3) 10i
C
3+i
A) 1 + 3i B) -1 + 3i C) 1 + 10i D) 1 – 3i
4) 4i
S
3+i
A) 2
5
+ 65
i B) – 25
+ 65
i C) 1
TEST BANK
Precalculus 6th Edition
by Robert Blitzer
N
6th Edition
U
R
SE
D
O
C
S
LKJHGFDSA
, Test bank for Precalculus 6th Edition by
Robert F. Blitzer
Sample Questions
Ch. 2 Polynomial and Rational Functions
2.1 Complex Numbers
N
1 Add and Subtract Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
U
Add or subtract as indicated and write the outcome in standard
form.1) (5 – 6i) + (9 + 9i)
A) 14 + 3i B) 14 – 3i C) -4 + 15i D) -14 – 3i
R
2) (9 + 5i) – (-8 + i)
A) 17 + 4i B) 17 – 4i C) 1 + 6i D) -17 – 4i
3) 8i + (-7 – i)
A) -7 + 7i B) -7 + 9i C) 7 – 7i D) 7 – 9i
SE
4) 5i – (-5 – i)
A) 5 + 6i B) -5 – 6i C) 5 – 4i D) -5 + 4i
5) (-7 + 6i) – 9
A) -16 + 6i B) 16 – 6i C) 2 + 6i D) 2 – 6i
6) -2 – (- 2 – 8i) – (- 2 – 6i)
A) 2 + 14i B) 2 – 14i C) 4 – 14i D) 4 + 14i
D
7) (4 – 3i) + (1 – 6i) + (4 + 5i)
O
C
S
,A) 9 – 4i B) 7 + 8i C) 1 – 14i D) 5 – 9i
2 Multiply Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
Find the product and write the outcome in standard
form.1) -5i(3i – 9)
A) 15 + 45i B) -15 + 45i C) 45i – 15i2 D) 45i + 15i2
2) 7i(-3i + 6)
N
A) 21 + 42i B) -21 + 42i C) 42i – 21i2 D) 42i + 21i2
3) (9 + 8i)(5 – 5i)
A) 85 – 5i B) 85 + 5i C) 5 + 85i D) -40i2 – 5i + 45
4) (-6 + 9i)(5 + i)
U
A) -39 + 39i B) -21 + 39i C) -39 – 51i D) -21 – 51i
5) (8 – 6i)(-5 – 3i)
A) -58 + 6i B) -58 – 54i C) -22 + 6i D) -22 – 54i
R
6) (9 + 3i)(9 – 3i)
A) 90 B) 81 – 9i2 C) 72 D) 81 – 9i
Page 1
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7) (-4 + i)(-4 – i)
A) 17 B) -4 C) 16 D) -15
8) (4 + 9i)2
A) -65 + 72i B) 97 + 72i C) -65 D) 16 + 72i + 81i2
Perform the indicated operations and write the outcome in standard
form.9) (7 + 8i)(3 – i) – (1 – i)(1 + i)
D
A) 27 + 17i B) 31 + 17i C) 29 + 17i D) 27 + 31i
10) (2 + i)2 – (6 – i)2
A) -32 + 16i B) 32 + 16i C) -48 D) -32 – 16i
Complex numbers are used in electronics to describe the current in an electric
O
circuit. Ohm’s law relates the current
in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the
resistance of the circuit, R, in ohms, by the
C
formula E = IR. Solve the problem using this formula.
11) Find E, the voltage of a circuit, if I = (8 + 9i) amperes and R = (4 + 7i)
ohms.
A) (-31 + 92i) volts B) (-31 – 92i) volts C) (92 – 31i) volts D) (92 + 31i) volts
S
12) Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (2 + 3i)
ohms.
A) (33 + 56i) volts B) (33 – 56i) volts C) (-18 + 56i) volts D) (-18 – 56i) volts
3 Divide Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
, Divide and express the outcome in standard
form.1) 7
8–i
A) 56
65
+7
65
i B) 56
N
65
–7
65
i C) 89
U
+ 19i D) 89
– 19
i
R
2) 8
2+i
A) 16
SE
5
– 85
i B) 16
5
+ 85
i C) 16
D
3
+ 83
i D) 16
3
O
– 83
i
3) 10i
C
3+i
A) 1 + 3i B) -1 + 3i C) 1 + 10i D) 1 – 3i
4) 4i
S
3+i
A) 2
5
+ 65
i B) – 25
+ 65
i C) 1
