@PROFDOCDIGITALLIBRARIES
TEST BANK
Precalculus: Mathematics for Calculus
James Stewart , Lothar Redlin , Saleem Watson
8th Edition
,@PROFDOCDIGITALLIBRARIES
Precalculus: Mathematics for Calculus 9th Edition Test Bank
Sample Questions
Ch. 2 Polynomial and Rational Functions
2.1 Complex Numbers
1 Add and Subtract Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
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
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
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
7) (4 – 3i) + (1 – 6i) + (4 + 5i)
,@PROFDOCDIGITALLIBRARIES
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)
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)
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
6) (9 + 3i)(9 – 3i)
A) 90 B) 81 – 9i2 C) 72 D) 81 – 9i
Page 1
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)
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
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
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
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.
, @PROFDOCDIGITALLIBRARIES
Divide and express the outcome in standard
form.1) 7
8–i
A) 56
65
+7
65
i B) 56
65
–7
65
i C) 89
+ 19i D) 89
– 19
i
2) 8
2+i
A) 16
5
– 85
i B) 16
5
+ 85
i C) 16
3
+ 83
i D) 16
3
– 83
i
3) 10i
3+i
A) 1 + 3i B) -1 + 3i C) 1 + 10i D) 1 – 3i
4) 4i
3+i
A) 2
5
+ 65
i B) – 25
+ 65
i C) 1
TEST BANK
Precalculus: Mathematics for Calculus
James Stewart , Lothar Redlin , Saleem Watson
8th Edition
,@PROFDOCDIGITALLIBRARIES
Precalculus: Mathematics for Calculus 9th Edition Test Bank
Sample Questions
Ch. 2 Polynomial and Rational Functions
2.1 Complex Numbers
1 Add and Subtract Complex Numbers
MULTIPLE CHOICE. Choose the one alternative that best completes the
statement or answers the question.
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
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
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
7) (4 – 3i) + (1 – 6i) + (4 + 5i)
,@PROFDOCDIGITALLIBRARIES
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)
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)
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
6) (9 + 3i)(9 – 3i)
A) 90 B) 81 – 9i2 C) 72 D) 81 – 9i
Page 1
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)
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
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
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
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.
, @PROFDOCDIGITALLIBRARIES
Divide and express the outcome in standard
form.1) 7
8–i
A) 56
65
+7
65
i B) 56
65
–7
65
i C) 89
+ 19i D) 89
– 19
i
2) 8
2+i
A) 16
5
– 85
i B) 16
5
+ 85
i C) 16
3
+ 83
i D) 16
3
– 83
i
3) 10i
3+i
A) 1 + 3i B) -1 + 3i C) 1 + 10i D) 1 – 3i
4) 4i
3+i
A) 2
5
+ 65
i B) – 25
+ 65
i C) 1
