INSTRUCTOR’S
TESTING MANUAL
College Algebra: Graphs and Models | 6th edition
By Marvin L. Bittinger, Judith A. Beecher
TU
TO
R
G
U
R
U
,Table of Content
1. Graphs, Functions, and Models
1.1. Introduction to Graphing
Visualizing the Graph
1.2. Functions and Graphs
1.3. Linear Functions, Slope, and Applications
Visualizing the Graph
Mid-Chapter Mixed Review
1.4. Equations of Lines and Modeling
1.5. Linear Equations, Functions, Zeros, and Applications
1.6. Solving Linear Inequalities
Summary and Review
Review Exercises
TU
Chapter Test
2. More on Functions
2.1. Increasing, Decreasing, and Piecewise Functions; Applications
2.2. The Algebra of Functions
2.3. The Composition of Functions
Mid-Chapter Mixed Review
TO
2.4. Symmetry
2.5. Transformations
Visualizing the Graph
2.6. Variation and Applications
Summary and Review
Review Exercises
R
Chapter Test
3. Quadratic Functions and Equations; Inequalities
3.1. The Complex Numbers
G
3.2. Quadratic Equations, Functions, Zeros, and Models
3.3. Analyzing Graphs of Quadratic Functions
Visualizing the Graph
U
Mid-Chapter Mixed Review
3.4. Solving Rational Equations and Radical Equations
3.5. Solving Equations and Inequalities with Absolute Value
R
Summary and Review
Review Exercises
Chapter Test
U
4. Polynomial Functions and Rational Functions
4.1. Polynomial Functions and Modeling
4.2. Graphing Polynomial Functions
Visualizing the Graph
4.3. Polynomial Division; The Remainder Theorem and the Factor Theorem
Mid-Chapter Mixed Review
4.4. Theorems about Zeros of Polynomial Functions
4.5. Rational Functions
Visualizing the Graph
4.6. Polynomial Inequalities and Rational Inequalities
Study Guide
Review Exercises
Chapter Test
,5. Exponential Functions and Logarithmic Functions
5.1. Inverse Functions
5.2. Exponential Functions and Graphs
5.3. Logarithmic Functions and Graphs
Visualizing the Graph
Mid-Chapter Mixed Review
5.4. Properties of Logarithmic Functions
5.5. Solving Exponential Equations and Logarithmic Equations
5.6. Applications and Models: Growth and Decay; Compound Interest 364
Study Guide
Review Exercises
Chapter Test
6. Systems of Equations and Matrices
6.1. Systems of Equations in Two Variables
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Visualizing the Graph
6.2. Systems of Equations in Three Variables
6.3. Matrices and Systems of Equations
6.4. Matrix Operations
Mid-Chapter Mixed Review
6.5. Inverses of Matrices
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6.6. Determinants and Cramer's Rule
6.7. Systems of Inequalities and Linear Programming
6.8. Partial Fractions
Study Guide
Review Exercises
Chapter Test
R
7. Conic Sections
7.1. The Parabola
7.2. The Circle and the Ellipse
G
Mid-Chapter Mixed Review
7.3. The Hyperbola
7.4. Nonlinear Systems of Equations and Inequalities
U
Visualizing the Graph
Study Guide
Review Exercises
R
Chapter Test
8. Sequences, Series, and Combinatorics
8.1. Sequences and Series
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8.2. Arithmetic Sequences and Series
8.3. Geometric Sequences and Series
Visualizing the Graph
8.4. Mathematical Induction
Mid-Chapter Mixed Review
8.5. Combinatorics: Permutations
8.6. Combinatorics: Combinations
8.7. The Binomial Theorem
8.8. Probability
, CHAPTER 1 NAME
TEST FORM A CLASS SCORE GRADE
1. 1 3
Determine whether the ordered pair ,− ANSWERS
2 4 is a solution of the
equation 4x − 5 = 4 y . 1.
2. Find the intercepts of x − 4 y = 4 2.
TU
and graph the line.
See graph.
TO
3.
3. Find the distance between (4, − 6) and (−7, − 9) . 4.
4. Find the midpoint of the segment with endpoints (4, − 6) and 5.
R
(−3, −12) .
6.
G
Find the center and the radius of the circle ( x + 6) + y2 = 9 .
2
5.
7. a)
Find an equation of the circle with center (−8, − 4) and radius
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6. 6.
b)
7. a) Determine whether the relation {(–5, 5),(–4, 4),(3, – 3),(1, 1)} c)
R
is a function. Answer yes or no.
b) Find the domain of the relation. 8. a)
U
c) Find the range of the relation.
b)
8. Given that f (x) = x2 + 3x − 4 , find each of the following.
a) f (−2) b) f (a + 5) 9. a)
4+ x
Given that f (x) = , find each of the following. b)
9.
2x
a) f (−2) b) f (0)
Copyright ©2017 Pearson Education, Inc. 1
TESTING MANUAL
College Algebra: Graphs and Models | 6th edition
By Marvin L. Bittinger, Judith A. Beecher
TU
TO
R
G
U
R
U
,Table of Content
1. Graphs, Functions, and Models
1.1. Introduction to Graphing
Visualizing the Graph
1.2. Functions and Graphs
1.3. Linear Functions, Slope, and Applications
Visualizing the Graph
Mid-Chapter Mixed Review
1.4. Equations of Lines and Modeling
1.5. Linear Equations, Functions, Zeros, and Applications
1.6. Solving Linear Inequalities
Summary and Review
Review Exercises
TU
Chapter Test
2. More on Functions
2.1. Increasing, Decreasing, and Piecewise Functions; Applications
2.2. The Algebra of Functions
2.3. The Composition of Functions
Mid-Chapter Mixed Review
TO
2.4. Symmetry
2.5. Transformations
Visualizing the Graph
2.6. Variation and Applications
Summary and Review
Review Exercises
R
Chapter Test
3. Quadratic Functions and Equations; Inequalities
3.1. The Complex Numbers
G
3.2. Quadratic Equations, Functions, Zeros, and Models
3.3. Analyzing Graphs of Quadratic Functions
Visualizing the Graph
U
Mid-Chapter Mixed Review
3.4. Solving Rational Equations and Radical Equations
3.5. Solving Equations and Inequalities with Absolute Value
R
Summary and Review
Review Exercises
Chapter Test
U
4. Polynomial Functions and Rational Functions
4.1. Polynomial Functions and Modeling
4.2. Graphing Polynomial Functions
Visualizing the Graph
4.3. Polynomial Division; The Remainder Theorem and the Factor Theorem
Mid-Chapter Mixed Review
4.4. Theorems about Zeros of Polynomial Functions
4.5. Rational Functions
Visualizing the Graph
4.6. Polynomial Inequalities and Rational Inequalities
Study Guide
Review Exercises
Chapter Test
,5. Exponential Functions and Logarithmic Functions
5.1. Inverse Functions
5.2. Exponential Functions and Graphs
5.3. Logarithmic Functions and Graphs
Visualizing the Graph
Mid-Chapter Mixed Review
5.4. Properties of Logarithmic Functions
5.5. Solving Exponential Equations and Logarithmic Equations
5.6. Applications and Models: Growth and Decay; Compound Interest 364
Study Guide
Review Exercises
Chapter Test
6. Systems of Equations and Matrices
6.1. Systems of Equations in Two Variables
TU
Visualizing the Graph
6.2. Systems of Equations in Three Variables
6.3. Matrices and Systems of Equations
6.4. Matrix Operations
Mid-Chapter Mixed Review
6.5. Inverses of Matrices
TO
6.6. Determinants and Cramer's Rule
6.7. Systems of Inequalities and Linear Programming
6.8. Partial Fractions
Study Guide
Review Exercises
Chapter Test
R
7. Conic Sections
7.1. The Parabola
7.2. The Circle and the Ellipse
G
Mid-Chapter Mixed Review
7.3. The Hyperbola
7.4. Nonlinear Systems of Equations and Inequalities
U
Visualizing the Graph
Study Guide
Review Exercises
R
Chapter Test
8. Sequences, Series, and Combinatorics
8.1. Sequences and Series
U
8.2. Arithmetic Sequences and Series
8.3. Geometric Sequences and Series
Visualizing the Graph
8.4. Mathematical Induction
Mid-Chapter Mixed Review
8.5. Combinatorics: Permutations
8.6. Combinatorics: Combinations
8.7. The Binomial Theorem
8.8. Probability
, CHAPTER 1 NAME
TEST FORM A CLASS SCORE GRADE
1. 1 3
Determine whether the ordered pair ,− ANSWERS
2 4 is a solution of the
equation 4x − 5 = 4 y . 1.
2. Find the intercepts of x − 4 y = 4 2.
TU
and graph the line.
See graph.
TO
3.
3. Find the distance between (4, − 6) and (−7, − 9) . 4.
4. Find the midpoint of the segment with endpoints (4, − 6) and 5.
R
(−3, −12) .
6.
G
Find the center and the radius of the circle ( x + 6) + y2 = 9 .
2
5.
7. a)
Find an equation of the circle with center (−8, − 4) and radius
U
6. 6.
b)
7. a) Determine whether the relation {(–5, 5),(–4, 4),(3, – 3),(1, 1)} c)
R
is a function. Answer yes or no.
b) Find the domain of the relation. 8. a)
U
c) Find the range of the relation.
b)
8. Given that f (x) = x2 + 3x − 4 , find each of the following.
a) f (−2) b) f (a + 5) 9. a)
4+ x
Given that f (x) = , find each of the following. b)
9.
2x
a) f (−2) b) f (0)
Copyright ©2017 Pearson Education, Inc. 1
