Instructor’s Solutions Manual for Algebra and Trigonometry, 7th Edition (Blitzer, 2021) | Prerequisites & All Chapters 1–11 Covered

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, TABLE OF CONTENTS
Instructor's Solutions Manual for Algebra and Trigonometry, 7th
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Edition
Author: Robert F. Blitzer (2021)
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Prerequisites: Fundamental Concepts of Algebra
Chapter 1. Equations and Inequalities
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Chapter 2. Functions and Graphs
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Chapter 3. Polynomial and Rational Functions
Chapter 4. Exponential and Logarithmic Functions
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Chapter 5. Trigonometric Functions
Chapter 6. Analytic Trigonometry
Chapter 7. Additional Topics in Trigonometry
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Chapter 8. Systems of Equations and Inequalities
Chapter 9. Matrices and Determinants
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Chapter 10. Conic Sections and Analytic Geometry
Chapter 11. Sequences, Induction, and Probability
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, TABLE OF CONTENTS for INSTRUCTOR SOLUTIONS

ALGEBRA AND TRIGONOMETRY 7E
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Chapter P Fundamental Concepts of Algebra ............................................................................. 1
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Chapter 1 Equations and Inequalities ........................................................................................ 75
Chapter 2 Functions and Graphs ............................................................................................. 215
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Chapter 3 Polynomial and Rational Functions ........................................................................ 359
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Chapter 4 Exponential and Logarithmic Functions ................................................................. 515
Chapter 5 Trigonometric Functions ........................................................................................ 593
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Chapter 6 Analytic Trigonometry ........................................................................................... 835
Chapter 7 Additional Topics in Trigonometry ........................................................................ 969
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Chapter 8 Systems of Equations and Inequalities ................................................................. 1117
Chapter 9 Matrices and Determinants ................................................................................... 1259
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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
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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,
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= 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
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absolute value bars is positive. The absolute
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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
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= 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.
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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
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{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.
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{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)]
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a. Natural numbers: 9 because 9 =3 = 6 + 4[9 − x]
= 6 + 36 − 4 x
b. Whole numbers: 0, 9 = 42 − 4 x
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c. Integers: −9, 0, 9
Concept and Vocabulary Check P.1
d. Rational numbers: −9, − 1.3, 0, 0.3, 9
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C1. expression
π C2. b to the nth power; base; exponent
e. Irrational numbers: , 10
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C3. formula; modeling; models
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f. Real numbers: −9, − 1.3, 0, 0.3, , 9, 10 C4. intersection; A ∩ B
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C5. union; A ∪ B



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