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Solution Manual – Algebra and Trigonometry (7th
Edition) Michael Sullivan | Complete Coverage |
Exam-Ready | Graded A+
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INSTRUCTOR’S
SOLUTIONS MANUAL
DANIEL S. MILLER
Niagara County Community College
ALGEBRA AND TRIGONOMETRY
SEVENTH EDITION
Robert Blitzer
Miami Dade College
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Unistudydocs
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TABLE OF CONTENTS for INSTRUCTOR SOLUTIONS
ALGEBRA AND TRIGONOMETRY 7E
Chapter P Fundamental Concepts of Algebra ............................................................................. 1
Chapter 1 Equations and Inequalities ........................................................................................ 75
Chapter 2 Functions and Graphs ............................................................................................. 215
Chapter 3 Polynomial and Rational Functions ........................................................................ 359
Chapter 4 Exponential and Logarithmic Functions ................................................................. 515
Chapter 5 Trigonometric Functions ........................................................................................ 593
Chapter 6 Analytic Trigonometry ........................................................................................... 835
Chapter 7 Additional Topics in Trigonometry ........................................................................ 969
Chapter 8 Systems of Equations and Inequalities ................................................................. 1117
Chapter 9 Matrices and Determinants ................................................................................... 1259
Chapter 10 Conic Sections and Analytic Geometry ................................................................ 1377
Chapter 11 Sequences, Induction, and Probability.................................................................. 1497
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Chapter P
Fundamental Concepts of Algebra
Section P.1 6. a. 1− 2
Check Point Exercises Because 2 ≈ 1.4, the number inside the
absolute value bars is negative. The absolute
1. 8 + 6( x − 3)2 = 8 + 6(13 − 3)2 value of x when x < 0 is –x. Thus,
= 8 + 6(10) 2 (
1 − 2 = − 1 − 2 = 2 −1 )
= 8 + 6(100)
= 8 + 600 b. π −3
= 608 Because π ≈ 3.14, the number inside the
absolute value bars is positive. The absolute
2. a. Since 2016 is 16 years after 2000, substitute 16 value of a positive number is the number itself.
for x. Thus,
T = − x 2 + 361x + 3193 π − 3 = π − 3.
= −(16) 2 + 361(16) + 3193
= 8713 x
c.
The average cost of tuition and fees at public x
U.S. colleges for the school year ending in Because x > 0, x = x.
2016 was $8713.
x x
b. The formula underestimates the actual answer Thus, = =1
x x
by $65.
7. −4 − (5) = −9 = 9
3. The elements common to {3, 4, 5, 6, 7} and
{3, 7, 8, 9} are 3 and 7. The distance between –4 and 5 is 9.
{3, 4,5, 6, 7} ∩ {3, 7,8,9} = {3, 7}
8. 7(4 x 2 + 3x) + 2(5 x 2 + x)
4. The union is the set containing all the elements of = 7(4 x 2 + 3 x) + 2(5 x 2 + x)
either set.
{3, 4,5, 6, 7} ∪ {3, 7,8,9} = {3, 4,5, 6, 7,8,9} = 28 x 2 + 21x + 10 x 2 + 2 x
= 38 x 2 + 23 x
π ½
5. ® −9, − 1.3, 0, 0.3, , 9, 10 ¾
9. 6 + 4[7 − ( x − 2)]
¯ 2 ¿
= 6 + 4[7 − x + 2)]
a. Natural numbers: 9 because 9 =3 = 6 + 4[9 − x]
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= 6 + 36 − 4 x
b. Whole numbers: 0, 9 = 42 − 4 x
c. Integers: −9, 0, 9
Concept and Vocabulary Check P.1
d. Rational numbers: −9, − 1.3, 0, 0.3, 9
C1. expression
π C2. b to the nth power; base; exponent
e. Irrational numbers: , 10
2
C3. formula; modeling; models
π
f. Real numbers: −9, − 1.3, 0, 0.3, , 9, 10 C4. intersection; A ∩ B
2
C5. union; A ∪ B
Copyright © 2022 Pearson Education, Inc 1
Unistudydocs
Solution Manual – Algebra and Trigonometry (7th
Edition) Michael Sullivan | Complete Coverage |
Exam-Ready | Graded A+
Unistudydocs
Unistudydocs
,Unistudydocs
INSTRUCTOR’S
SOLUTIONS MANUAL
DANIEL S. MILLER
Niagara County Community College
ALGEBRA AND TRIGONOMETRY
SEVENTH EDITION
Robert Blitzer
Miami Dade College
Unistudydocs
Unistudydocs
,Unistudydocs
TABLE OF CONTENTS for INSTRUCTOR SOLUTIONS
ALGEBRA AND TRIGONOMETRY 7E
Chapter P Fundamental Concepts of Algebra ............................................................................. 1
Chapter 1 Equations and Inequalities ........................................................................................ 75
Chapter 2 Functions and Graphs ............................................................................................. 215
Chapter 3 Polynomial and Rational Functions ........................................................................ 359
Chapter 4 Exponential and Logarithmic Functions ................................................................. 515
Chapter 5 Trigonometric Functions ........................................................................................ 593
Chapter 6 Analytic Trigonometry ........................................................................................... 835
Chapter 7 Additional Topics in Trigonometry ........................................................................ 969
Chapter 8 Systems of Equations and Inequalities ................................................................. 1117
Chapter 9 Matrices and Determinants ................................................................................... 1259
Chapter 10 Conic Sections and Analytic Geometry ................................................................ 1377
Chapter 11 Sequences, Induction, and Probability.................................................................. 1497
Unistudydocs
iii
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, Unistudydocs
Chapter P
Fundamental Concepts of Algebra
Section P.1 6. a. 1− 2
Check Point Exercises Because 2 ≈ 1.4, the number inside the
absolute value bars is negative. The absolute
1. 8 + 6( x − 3)2 = 8 + 6(13 − 3)2 value of x when x < 0 is –x. Thus,
= 8 + 6(10) 2 (
1 − 2 = − 1 − 2 = 2 −1 )
= 8 + 6(100)
= 8 + 600 b. π −3
= 608 Because π ≈ 3.14, the number inside the
absolute value bars is positive. The absolute
2. a. Since 2016 is 16 years after 2000, substitute 16 value of a positive number is the number itself.
for x. Thus,
T = − x 2 + 361x + 3193 π − 3 = π − 3.
= −(16) 2 + 361(16) + 3193
= 8713 x
c.
The average cost of tuition and fees at public x
U.S. colleges for the school year ending in Because x > 0, x = x.
2016 was $8713.
x x
b. The formula underestimates the actual answer Thus, = =1
x x
by $65.
7. −4 − (5) = −9 = 9
3. The elements common to {3, 4, 5, 6, 7} and
{3, 7, 8, 9} are 3 and 7. The distance between –4 and 5 is 9.
{3, 4,5, 6, 7} ∩ {3, 7,8,9} = {3, 7}
8. 7(4 x 2 + 3x) + 2(5 x 2 + x)
4. The union is the set containing all the elements of = 7(4 x 2 + 3 x) + 2(5 x 2 + x)
either set.
{3, 4,5, 6, 7} ∪ {3, 7,8,9} = {3, 4,5, 6, 7,8,9} = 28 x 2 + 21x + 10 x 2 + 2 x
= 38 x 2 + 23 x
π ½
5. ® −9, − 1.3, 0, 0.3, , 9, 10 ¾
9. 6 + 4[7 − ( x − 2)]
¯ 2 ¿
= 6 + 4[7 − x + 2)]
a. Natural numbers: 9 because 9 =3 = 6 + 4[9 − x]
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= 6 + 36 − 4 x
b. Whole numbers: 0, 9 = 42 − 4 x
c. Integers: −9, 0, 9
Concept and Vocabulary Check P.1
d. Rational numbers: −9, − 1.3, 0, 0.3, 9
C1. expression
π C2. b to the nth power; base; exponent
e. Irrational numbers: , 10
2
C3. formula; modeling; models
π
f. Real numbers: −9, − 1.3, 0, 0.3, , 9, 10 C4. intersection; A ∩ B
2
C5. union; A ∪ B
Copyright © 2022 Pearson Education, Inc 1
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