College Algebra – 13th Edition, Margaret L. Lial – Instructor’s Testing Manual (Chapters 1–7)

INSTRUCTOR’S TESTING MANUAL
College Algebra, 13th edition
By Margaret L. Lial, John Hornsby
AP
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,Table of Content
R. Review of Basic Concepts
R-1 Fractions, Decimals, and Percents
R-2 Sets and Real Numbers
R-3 Real Number Operations and Properties
R-4 Integer and Rational Exponents
R-5 Polynomials
R-6 Factoring Polynomials
R-7 Rational Expressions
R-8 Radical Expressions
1. Equations and Inequalities
1-1 Linear Equations
1-2 Applications and Modeling with Linear Equations
1-3 Complex Numbers
1-4 Quadratic Equations
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1-5 Applications and Modeling with Quadratic Equations
1-6 Other Types of Equations and Applications
1-7 Inequalities
1-8 Absolute Value Equations and Inequalities
2. Graphs and Functions
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2-1 Rectangular Coordinates and Graphs
2-2 Circles
2-3 Functions
2-4 Linear Functions
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2-5 Equations of Lines and Linear Models
2-6 Graphs of Basic Functions
2-7 Graphing Techniques
2-8 Function Operations and Composition
3. Polynomial and Rational Functions
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3-1 Quadratic Functions and Models
3-2 Synthetic Division
3-3 Zeros of Polynomial Functions
3-4 Polynomial Functions: Graphs, Applications, and Models
3-5 Rational Functions: Graphs, Applications, and Models
3-6 Polynomial and Rational Inequalities
4. Inverse, Exponential, and Logarithmic Functions
4-1 Inverse Functions
4-2 Exponential Functions
4-3 Logarithmic Functions
4-4 Evaluating Logarithms and the Change-of-Base Theorem
4-5 Exponential and Logarithmic Equations
4-6 Applications and Models of Exponential Growth and Decay
5. Systems and Matrices
5-1 Systems of Linear Equations

,5-2 Matrix Solution of Linear Systems
5-3 Determinant Solution of Linear Systems
5-4 Partial Fractions
5-5 Nonlinear Systems of Equations
5-6 Systems of Inequalities and Linear Programming
5-7 Properties of Matrices
5-8 Matrix Inverses
6. Analytic Geometry
6-1 Parabolas
6-2 Ellipses
6-3 Hyperbolas
6-4 Summary of the Conic Sections
7. Further Topics in Algebra
7-1 Sequences and Series
7-2 Arithmetic Sequences and Series
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7-3 Geometric Sequences and Series
7-4 The Binomial Theorem
7-5 Mathematical Induction
7-6 Counting Theory
7-7 Basics of Probability
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, 1

CHAPTER R, FORM A NAME
COLLEGE ALGEBRA DATE
ì 54 16 ü
1. Let A = ïí-9.6, , 6π , 0, 13, 2.15, , 49 ïý .
ïîï 7 5 ïþï
List the elements of A that belong to the given set.

a. Natural numbers 1. a. ____________

b. Rational numbers b. ____________

c. Irrational numbers c. ____________

2. Evaluate the expression if x = -2 , y = -4 , and z = 1 : 2. ______________
2
2y - x
2
( y - 3z )
3. Identify the property illustrated. Let a, b, and c represent any
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real numbers.

a. (a + b) c = ac + bc 3. a. ____________

b. a + éëb + (-b)ùû = a + 0 b. ____________
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æ 1 2 ö÷ 3 1 æ 2 3 ö÷
c. çç ⋅ ÷⋅ = ⋅çç ⋅ ÷ c. ____________
çè 2 3 ÷ø 4 2 çè 3 4 ÷ø

1 1
d. ( p + 3) = ( p + 3) ⋅ d. ____________
2 2
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Perform the indicated operations.
2
4. éë(3a + b) - 2ùû 4. ______________

5. (3x 2 - 2 x - 5)-(2 x3 + x - 7) + 2 x 2 ( x - 3) 5. ______________
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6. ( x 2 - x + 2)(2 x - 3) 6. ______________

7. éë( x - y ) - 7ùû éë( x - y ) + 7ùû 7. ______________

3
8. (2 x + 5) 8. ______________

3 y 4 - 5 y 3 -14 y 2 + 10 y
9. 9. ______________
y2 - 2

x 2 - 9 x -1
10. ⋅ 10. ______________
x 2 - x x 2 - 3x

3x x 3x +1
11. - - 11. ______________
x - 4 x + 4 16 - x 2


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