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Appendix B Answers to Selected Exercises

1 Linear Models
1.1 Linear Models
1.1.3 Problem Set 1.1

1.2 Graphs and Equations
1.2.9 Problem Set 1.2

1.3 Intercepts
1.3.6 Problem Set 1.3

1.4 Slope
1.4.6 Problem Set 1.4

1.5 Equations of Lines
1.5.7 Problem Set 1.5

1.6 Chapter Summary and Review
1.6.3 Chapter 1 Review Problems

2 Applications of Linear Models
2.1 Linear Regression
2.1.5 Problem Set 2.1

2.2 Linear Systems
2.2.6 Problem Set 2.2

2.3 Algebraic Solution of Systems
2.3.4 Problem Set 2.3

2.4 Gaussian Reduction
2.4.6 Problem Set 2.4

2.5 Linear Inequalities in Two Variables
2.5.5 Problem Set 2.5

2.6 Chapter Summary and Review
2.6.3 Chapter 2 Review Problems

3 Quadratic Models
3.1 Extraction of Roots
3.1.8 Problem Set 3.1

3.2 Intercepts, Solutions, and Factors
3.2.6 Problem Set 3.2

3.3 Graphing Parabolas
3.3.6 Problem Set 3.3

3.4 Completing the Square
3.4.4 Problem Set 3.4

3.5 Chapter 3 Summary and Review
3.5.3 Chapter 3 Review Problems

4 Applications of Quadratic Models
4.1 Quadratic Formula
4.1.6 Problem Set 4.1

4.2 The Vertex
4.2.5 Problem Set 4.2

4.3 Curve Fitting
4.3.5 Problem Set 4.3

4.4 Quadratic Inequalities
4.4.6 Problem Set 4.4

4.5 Chapter 4 Summary and Review
4.5.3 Chapter 4 Review Problems

5 Functions and Their Graphs
5.1 Functions
5.1.7 Problem Set 5.1

5.2 Graphs of Functions
5.2.6 Problem Set 5.2

5.3 Some Basic Graphs
5.3.4 Problem Set 5.3

5.4 Direct Variation
5.4.6 Problem Set 5.4

5.5 Inverse Variation
5.5.4 Problem Set 5.5

5.6 Functions as Models
5.6.6 Problem Set 5.6

5.7 Chapter 5 Summary and Review
5.7.3 Chapter 5 Review Problems

6 Powers and Roots
6.1 Integer Exponents
6.1.5 Problem Set 6.1

6.2 Roots and Radicals
6.2.9 Problem Set 6.2

6.3 Rational Exponents
6.3.6 Problem Set 6.3

6.4 Working with Radicals
6.4.6 Problem Set 6.4

6.5 Radical Equations
6.5.6 Problem Set 6.5

6.6 Chapter 6 Summary and Review
6.6.3 Chapter 6 Review Problems

7 Exponential Functions
7.1 Exponential Growth and Decay
7.1.7 Problem Set 7.1

7.2 Exponential Functions
7.2.7 Problem Set 7.2

7.3 Logarithms
7.3.7 Problem Set 7.3

7.4 Properties of Logarithms
7.4.5 Problem Set 7.4

7.5 Exponential Models
7.5.4 Problem Set 7.5

7.6 Chapter 7 Summary and Review
7.6.3 Chapter 7 Review Problems

8 Polynomial and Rational Functions
8.1 Polynomial Functions
8.1.6 Problem Set 8.1

8.2 Algebraic Fractions
8.2.5 Problem Set 8.2

8.3 Operations on Algebraic Fractions
8.3.8 Problem Set 8.3

8.4 More Operations on Fractions
8.4.5 Problem Set 8.4

8.5 Equations with Fractions
8.5.7 Problem Set 8.5

8.6 Chapter 8 Summary and Review
8.6.3 Chapter 8 Review Problems

9 Equations and Graphs
9.1 Properties of Lines
9.1.4 Problem Set 9.1

9.2 The Distance and Midpoint Formulas
9.2.7 Problem Set 9.2

9.3 Conic Sections: Ellipses
9.3.5 Problem Set 9.3

9.4 Conic Sections: Hyperbolas
9.4.6 Problem Set 9.4

9.5 Nonlinear Systems
9.5.4 Problem Set 9.5

9.6 Chapter 9 Summary and Review
9.6.3 Chapter 9 Review Problems

10 Logarithmic Functions
10.1 Logarithmic Functions
10.1.6 Problem Set 10.1

10.2 Logarithmic Scales
10.2.6 Problem Set 10.2

10.3 The Natural Base
10.3.6 Homework 10.3

10.4 Chapter 10 Summary and Review
10.4.3 Chapter 10 Review Problems