Test Bank For College Algebra and
Trigonometry, 7th Edition by Margaret L.
Lial, John Hornsby, David I. Schneider,
Callie J. Daniels
1
,1. Equations and Inequalities
• 1-1 Linear Equations
• 1-2 Applications and Modeling with Linear Equations
• 1-3 Complex Numbers
• 1-4 Quadratic Equations
• 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
• 2-1 Rectangular Coordinates and Graphs
• 2-2 Circles
• 2-3 Functions
• 2-4 Linear Functions
• 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
• 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
• 3-7 Variation
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 of Models of Exponential Growth and Decay
5. Trigonometric Functions
• 5-1 Angles
• 5-2 Trigonometric Functions
• 5-3 Trigonometric Function Values and Angle Measures
• 5-4 Solutions and Applications of Right Triangles
6. The Circular Functions and Their Graphs
• 6-1 Radian Measure
• 6-2 The Unit Circle and Circular Functions
• 6-3 Graphs of the Sine and Cosine Functions
• 6-4 Translations of the Graphs of the Sine and Cosine Functions
• 6-5 Graphs of the Tangent and Cotangent Functions
• 6-6 Graphs of the Secant and Cosecant Functions
• 6-7 Harmonic Motion
7. Trigonometric Identities and Equations
• 7-1 Fundamental Identities
• 7-2 Verifying Trigonometric Identities
• 7-3 Sum and Difference Identities
• 7-4 Double-Angle and Half-Angle Identities
• 7-5 Inverse Circular Functions
• 7-6 Trigonometric Equations
• 7-7 Equations Involving Inverse Trigonometric Functions
8. Applications of Trigonometry
• 8-1 The Law of Sines
• 8-2 The Law of Cosines
• 8-3 Geometrically Defined Vectors and Applications
• 8-4 Algebraically Defined Vectors and the Dot Product
• 8-5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
• 8-6 De Moivre's Theorem; Powers and Roots of Complex Numbers
• 8-7 Polar Equations and Graphs
• 8-8 Parametric Equations, Graphs, and Applications
9. Systems and Matrices
• 9-1 Systems of Linear Equations
• 9-2 Matrix Solution of Linear Systems
• 9-3 Determinant Solution of Linear Systems
2
, • 9-4 Partial Fractions
• 9-5 Nonlinear Systems of Equations
• 9-6 Systems of Inequalities and Linear Programming
• 9-7 Properties of Matrices
• 9-8 Matrix Inverses
10. Analytic Geometry
• 10-1 Parabolas
• 10-2 Ellipses
• 10-3 Hyperbolas
• 10-4 Summary of the Conic Sections
11. Further Topics in Algebra
• 11-1 Sequences and Series
• 11-2 Arithmetic Sequences and Series
• 11-3 Geometric Sequences and Series
• 11-4 The Binomial Theorem
• 11-5 Mathematical Induction
• 11-6 Basics of Counting Theory
• 11-7 Basics of Probability
3
, MULTIPLE f CHOICE. f Choose f the f one f alternative f that f best f completes f the f statement f or f answers f the f question.
List fthe fordered fpairs ffrom fthe ftable.
1)
x y
-5 -7
-4 -5
-2 -1
-1 1
A) f (-7, f-5), f (-5, f-4), f (-1, f-2), f (1, f-1)
B) f (-5, f-5), f (-4, f-7), f (-2, f1), f (-1, f-1)
C) f (-5, f1), f (-4, f-1), f (-2, f-5), f (-1, f-7)
D) f (-5, f-7), f (-4, f-5), f (-2, f-1), f (-1, f1)
Answer: f D
2)
Sales f at f the f University f Bookstore
Month Sales
1 $670,000
2 $190,000
3 $1,090,000
4 $320,000
A) f (1, f 190,000), f (2, f 670,000), f (3, f 320,000), f (4, f 1,090,000)
B) f(320,000, f1), f(1,090,000, f2), f(190,000, f3), f(670,000, f4)
C) f(670,000, f1), f(190,000, f2), f(1,090,000, f3), f(320,000, f4)
D) f (1, f 670,000), f (2, f 190,000), f (3, f 1,090,000), f (4, f 320,000)
Answer: f D
For fthe fpoints fP fand fQ, ffind fthe fdistance fd(P, fQ).
3) f P(2, f7), f Q(-1, f-3)
A) 109
B) 91
C) -7
D) 30
f Answer:
f A
4) f P(5, f-5), f Q(7, f-1)
A) 12
B) 2
C) 2 f f f 5
D) f12 f f f 3
Answer: f C
5) f P(-5, f-1), fQ(7, f-4)
A) f135
B) f 3 f f 17
C) f135 f f 15
D) 15
f Answer:
f B
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