TEST BANK
College Algebra, 12th edition
By Michael Sullivan
M
PR
ES
SI
VE
G
R
AD
ES
, Table of Content
R. Review
R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
M
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents
PR
1. Equations and Inequalities
1.1 Linear Equations
1.2 Quadratic Equations
1.3 Complex Numbers; Quadratic Equations in the Complex Number System
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
1.5 Solving Inequalities
ES
1.6 Equations and Inequalities Involving Absolute Value
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
Chapter 1 Review, Test, and Projects
2. Graphs
2.1 The Distance and Midpoint Formulas
SI
2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
2.3 Lines
2.4 Circles
2.5 Variation
VE
Chapter 2 Review, Test, and Projects
3. Functions and Their Graphs
3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
G
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions
Chapter 3 Review, Test, and Projects
R
4. Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models
4.2 Building Linear Models from Data
AD
4.3 Quadratic Functions and Their Properties
4.4 Build Quadratic Models from Verbal Descriptions and from Data
4.5 Inequalities Involving Quadratic Functions
Chapter 4 Review, Test, and Projects
5. Polynomial and Rational Functions
5.1 Polynomial Functions
ES
5.2 Graphing Polynomials Functions; Models
5.3 Properties of Rational Functions
5.4 The Graph of a Rational Function
5.5 Polynomial and Rational Inequalities
5.6 The Real Zeros of a Polynomial Function
Chapter 5 Review, Test, and Projects
6. Exponential and Logarithmic Functions
, 6.1 Composite Functions
6.2 One-to-One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Financial Models
M
6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay
Models
6.9 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter 6 Review, Test, and Projects
PR
7. Analytic Geometry
7.1 Conics
7.2 The Parabola
7.3 The Ellipse
7.4 The Hyperbola
Chapter 7 Review, Test, and Projects
ES
8. Systems of Equations and Inequalities
8.1 Systems of Linear Equations: Substitution and Elimination
8.2 Systems of Linear Equations: Matrices
8.3 Systems of Linear Equations: Determinants
8.4 Matrix Algebra
SI
8.5 Partial Fraction Decomposition
8.6 Systems of Nonlinear Equations
8.7 Systems of Inequalities
8.8 Linear Programming
VE
Chapter 8 Review, Test, and Projects
9. Sequences; Induction; the Binomial Theorem
9.1 Sequences
9.2 Arithmetic Sequences
9.3 Geometric Sequences; Geometric Series
9.4 Mathematical Induction
G
9.5 The Binomial Theorem
Chapter 9 Review, Test, and Projects
10. Counting and Probability
R
10.1 Counting
10.2 Permutations and Combinations
10.3 Probability
AD
Chapter 10 Review, Test, and Projects
Appendix: Graphing Utilities
A.1 The Viewing Rectangle
A.2 Using a Graphing Utility to Graph Equations
A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
A.4 Using a Graphing Utility to Solve Equations
ES
A.5 Square Screens
A.6 Using a Graphing Utility to Graph Inequalities
A.7 Using a Graphing Utility to Solve Systems of Linear Equations
, Ch. 0 Chapter R: Review
0.1 Real Numbers
1 Work with Sets
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7}, and C = {1, 4, 9} to find the set.
M
1) B ∪ C
A) {1, 2, 3, 4, 5, 7, 9} B) { } C) {0} D) {1, 2, 3, 5, 7, 9}
2) A ∪ C
PR
A) {1, 2, 3, 4, 5, 8, 9} B) {4, 6, 7, 9} C) {1} D) {1, 2, 3, 5, 7, 9}
3) A ∩ B
A) {2, 3, 5} B) {1, 2, 3, 5, 7, 8} C) {2, 3, 5, 7} D) {1, 2, 3, 5, 8}
4) A ∩ C
ES
A) {1} B) {1, 2, 3, 4, 5, 7, 8, 9}
C) {4, 6, 7, 9} D) {1, 2, 3, 5, 7, 9}
5) (A ∩ B) ∪ C
A) {1, 2, 3, 4, 5, 9} B) {1, 2, 3, 5} C) {1, 2, 3} D) {2, 3, 5}
SI
6) (B ∪ C) ∩ A
A) {1, 2, 3, 5} B) {1, 2, 3, 4, 5, 7, 9} C) { } D) {1, 2, 3}
7) B
VE
A) {0, 1, 4, 6, 8, 9} B) {1, 4, 6, 8, 9} C) {0, 1, 4, 6, 7, 8, 9} D) {0, 1, 4, 6, 9}
8) A ∪ B
A) {0, 4, 6, 9} B) {4, 6, 9} C) {1, 4, 6, 8, 9} D) {1, 2, 3, 5, 7, 8}
9) A ∩ C
G
A) {0, 2, 3, 4, 5, 6, 7, 8, 9} B) {1}
C) {1, 2, 3, 4, 5, 7, 8, 9} D) {1, 2, 3, 4, 5, 6, 7, 8, 9}
10) B ∩ C
R
A) {0, 6, 8} B) {6, 8} C) {1, 2, 3, 4, 5, 7, 9} D) { }
2 Classify Numbers
AD
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
List all the elements of B that belong to the given set.
8 9
1) B = 16, 8, -4, 0, , - , 7.5
9 8
Integers
ES
A) {16, -4, 0} B) {16, 0} C) {16, -4} D) {16, 0, 8}
Page 1
College Algebra, 12th edition
By Michael Sullivan
M
PR
ES
SI
VE
G
R
AD
ES
, Table of Content
R. Review
R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
M
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents
PR
1. Equations and Inequalities
1.1 Linear Equations
1.2 Quadratic Equations
1.3 Complex Numbers; Quadratic Equations in the Complex Number System
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
1.5 Solving Inequalities
ES
1.6 Equations and Inequalities Involving Absolute Value
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
Chapter 1 Review, Test, and Projects
2. Graphs
2.1 The Distance and Midpoint Formulas
SI
2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
2.3 Lines
2.4 Circles
2.5 Variation
VE
Chapter 2 Review, Test, and Projects
3. Functions and Their Graphs
3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
G
3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions
Chapter 3 Review, Test, and Projects
R
4. Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models
4.2 Building Linear Models from Data
AD
4.3 Quadratic Functions and Their Properties
4.4 Build Quadratic Models from Verbal Descriptions and from Data
4.5 Inequalities Involving Quadratic Functions
Chapter 4 Review, Test, and Projects
5. Polynomial and Rational Functions
5.1 Polynomial Functions
ES
5.2 Graphing Polynomials Functions; Models
5.3 Properties of Rational Functions
5.4 The Graph of a Rational Function
5.5 Polynomial and Rational Inequalities
5.6 The Real Zeros of a Polynomial Function
Chapter 5 Review, Test, and Projects
6. Exponential and Logarithmic Functions
, 6.1 Composite Functions
6.2 One-to-One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Financial Models
M
6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay
Models
6.9 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter 6 Review, Test, and Projects
PR
7. Analytic Geometry
7.1 Conics
7.2 The Parabola
7.3 The Ellipse
7.4 The Hyperbola
Chapter 7 Review, Test, and Projects
ES
8. Systems of Equations and Inequalities
8.1 Systems of Linear Equations: Substitution and Elimination
8.2 Systems of Linear Equations: Matrices
8.3 Systems of Linear Equations: Determinants
8.4 Matrix Algebra
SI
8.5 Partial Fraction Decomposition
8.6 Systems of Nonlinear Equations
8.7 Systems of Inequalities
8.8 Linear Programming
VE
Chapter 8 Review, Test, and Projects
9. Sequences; Induction; the Binomial Theorem
9.1 Sequences
9.2 Arithmetic Sequences
9.3 Geometric Sequences; Geometric Series
9.4 Mathematical Induction
G
9.5 The Binomial Theorem
Chapter 9 Review, Test, and Projects
10. Counting and Probability
R
10.1 Counting
10.2 Permutations and Combinations
10.3 Probability
AD
Chapter 10 Review, Test, and Projects
Appendix: Graphing Utilities
A.1 The Viewing Rectangle
A.2 Using a Graphing Utility to Graph Equations
A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
A.4 Using a Graphing Utility to Solve Equations
ES
A.5 Square Screens
A.6 Using a Graphing Utility to Graph Inequalities
A.7 Using a Graphing Utility to Solve Systems of Linear Equations
, Ch. 0 Chapter R: Review
0.1 Real Numbers
1 Work with Sets
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7}, and C = {1, 4, 9} to find the set.
M
1) B ∪ C
A) {1, 2, 3, 4, 5, 7, 9} B) { } C) {0} D) {1, 2, 3, 5, 7, 9}
2) A ∪ C
PR
A) {1, 2, 3, 4, 5, 8, 9} B) {4, 6, 7, 9} C) {1} D) {1, 2, 3, 5, 7, 9}
3) A ∩ B
A) {2, 3, 5} B) {1, 2, 3, 5, 7, 8} C) {2, 3, 5, 7} D) {1, 2, 3, 5, 8}
4) A ∩ C
ES
A) {1} B) {1, 2, 3, 4, 5, 7, 8, 9}
C) {4, 6, 7, 9} D) {1, 2, 3, 5, 7, 9}
5) (A ∩ B) ∪ C
A) {1, 2, 3, 4, 5, 9} B) {1, 2, 3, 5} C) {1, 2, 3} D) {2, 3, 5}
SI
6) (B ∪ C) ∩ A
A) {1, 2, 3, 5} B) {1, 2, 3, 4, 5, 7, 9} C) { } D) {1, 2, 3}
7) B
VE
A) {0, 1, 4, 6, 8, 9} B) {1, 4, 6, 8, 9} C) {0, 1, 4, 6, 7, 8, 9} D) {0, 1, 4, 6, 9}
8) A ∪ B
A) {0, 4, 6, 9} B) {4, 6, 9} C) {1, 4, 6, 8, 9} D) {1, 2, 3, 5, 7, 8}
9) A ∩ C
G
A) {0, 2, 3, 4, 5, 6, 7, 8, 9} B) {1}
C) {1, 2, 3, 4, 5, 7, 8, 9} D) {1, 2, 3, 4, 5, 6, 7, 8, 9}
10) B ∩ C
R
A) {0, 6, 8} B) {6, 8} C) {1, 2, 3, 4, 5, 7, 9} D) { }
2 Classify Numbers
AD
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
List all the elements of B that belong to the given set.
8 9
1) B = 16, 8, -4, 0, , - , 7.5
9 8
Integers
ES
A) {16, -4, 0} B) {16, 0} C) {16, -4} D) {16, 0, 8}
Page 1