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TEST BANK
Precalculus: Mathematics for Calculus
James Stewart , Lothar Redlin , Saleem Watson
8th Edition
Chapters 1-12 (Questions with verified Answers)
,@PROFDOCDIGITALLIBRARIES
Table of Contents
1. Fundamentals
2. Functions
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Trigonometric Functions: Unit Circle Approach
6. Trigonometric Functions: Right Triangle Approach
7. Analytic Trigonometry
8. Polar Coordinates, Parametric Equations, and Vectors
9. Systems of Equations and Inequalities
10.Conic Sections
11.Sequences and Series
12.Limits: A Preview of Calculus
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Precalculus: Mathematics for Calculus 8th 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)
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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.
TEST BANK
Precalculus: Mathematics for Calculus
James Stewart , Lothar Redlin , Saleem Watson
8th Edition
Chapters 1-12 (Questions with verified Answers)
,@PROFDOCDIGITALLIBRARIES
Table of Contents
1. Fundamentals
2. Functions
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Trigonometric Functions: Unit Circle Approach
6. Trigonometric Functions: Right Triangle Approach
7. Analytic Trigonometry
8. Polar Coordinates, Parametric Equations, and Vectors
9. Systems of Equations and Inequalities
10.Conic Sections
11.Sequences and Series
12.Limits: A Preview of Calculus
,@PROFDOCDIGITALLIBRARIES
Precalculus: Mathematics for Calculus 8th 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)
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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.
