For All Practical Purposes 9th edition

COMAP, Inc. (Consortium for Mathematics and Its Applications)
Publisher: W. H. Freeman

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• Chapter 1: Urban Services
• 1.1: Euler Circuits
• 1.2: Finding Euler Circuits (11)
• 1.3: Beyond Euler Circuits
• 1.4: Urban Graph Traversal Problems (11)
• 1: Skills Check

• 2.1: Hamiltonian Circuits (7)
• 2.2: Traveling Salesman Problem
• 2.3: Helping Traveling Salesmen (4)
• 2.4: Minimum-Cost Spanning Trees (5)
• 2.5: Critical-Path Analysis (1)
• 2: Skills Check (4)

• Chapter 3: Planning and Scheduling
• 3.2: Critical-Path Schedules (6)
• 3.4: Bin Packing (7)
• 3.5: Resolving Conflict via Coloring (5)
• 3: Skills Check (5)

• Chapter 4: Linear Programming
• 4.1: Linear Programming and Mixture Problems: Combining Resources to Maximize Profit (9)
• 4.2: Finding the Optimal Production Policy
• 4.3: Why the Corner Point Principle Works
• 4.4: Linear Programming: Life Is Complicated (11)
• 4.5: A Transportation Problem: Delivering Perishables
• 4.6: Improving on the Current Solution
• 4: Skills Check

• Chapter 5: Exploring Data: Distributions
• 5.1: Displaying Distributions: Histograms
• 5.2: Interpreting Histograms (2)
• 5.3: Displaying Distributions: Stemplots (1)
• 5.4: Describing Center: Mean and Median (1)
• 5.5: Describing Variability: Range and Quartiles
• 5.6: The Five-Number Summary and Boxplots (5)
• 5.7: Describing Variability: The Standard Deviation (2)
• 5.8: Normal Distributions
• 5.9: The 68-95-99.7 Rule for Normal Distributions (5)
• 5: Chapter Review (2)
• 5: Skills Check

• Chapter 6: Exploring Data: Relationships
• 6.1: Displaying Relationships: Scatterplot (1)
• 6.2: Making Predictions: Regression Line (1)
• 6.3: Correlation (4)
• 6.4: Least-Squares Regression (3)
• 6.5: Interpreting Correlation and Regression (4)
• 6: Chapter Review (1)
• 6: Skills Check (5)

• Chapter 7: Data for Decisions
• 7.1: Sampling (1)
• 7.2: Bad Sampling Methods (2)
• 7.3: Simple Random Samples (1)
• 7.4: Cautions About Sample Surveys
• 7.5: Experiments (1)
• 7.6: Experiments versus Observational Studies
• 7.7: Inference: From Sample to Population (2)
• 7.8: Confidence Intervals (3)
• 7: Chapter Review
• 7: Skills Check (5)

• Chapter 8: Probability: The Mathematics of Chance
• 8.1: Probability Models and Rules (3)
• 8.2: Discrete Probability Models (2)
• 8.3: Equally Likely Outcomes (1)
• 8.4: Continuous Probability Models
• 8.5: The Mean and Standard Deviation of a Probability Model (3)
• 8.6: The Central Limit Theorem (4)
• 8: Chapter Review (2)
• 8: Skills Check (5)

• Chapter 9: Social Choice: The Impossible Dream
• 9.1: An Introduction to Social Choice
• 9.2: Majority Rule and Condorcet's Method (1)
• 9.3: Other Voting Systems for Three or More Candidates (16)
• 9.4: Insurmountable Difficulties: Arrow's Impossibility Theorem
• 9.5: A Better Approach? Approval Voting (1)
• 9: Skills Check

• Chapter 10: The Manipulability of Voting Systems
• 10.1: An Introduction to Manipulability
• 10.2: Majority Rule and Condorcet's Method (1)
• 10.3: The Manipulability of Other Voting Systems for Three or More Candidates (2)
• 10.4: Impossibility (1)
• 10.5: The Chair's Paradox (1)
• 10: Skills Check (5)

• Chapter 11: Weighted Voting Systems
• 11.1: How Weighted Voting Works (2)
• 11.2: The Shapley-Shubik Power Index (1)
• 11.3: The Banzhaf Power Index (5)
• 11.4: Comparing Voting Systems (6)
• 11: Skills Check (2)

• Chapter 12: Electing the President
• 12.1: Spatial Models for Two-Candidate Elections (2)
• 12.2: Spatial Models for Multicandidate Elections (3)
• 12.3: Narrowing the Field (1)
• 12.4: What Drives Candidates Out? (3)
• 12.5: Election Reform: Approval Voting (1)
• 12.6: The Electoral College
• 12.7: Is There a Better Way to Elect a President?
• 12: Skills Check (5)

• Chapter 13: Fair Division
• 13.1: The Adjusted Winner Procedure (3)
• 13.2: The Knaster Inheritance Procedure (5)
• 13.3: Fair Division and Organ Transplant Policies
• 13.4: Taking Turns (3)
• 13.5: Divide-and-Choose (1)
• 13.6: Cake-Division Procedures: Proportionality
• 13.7: Cake-Division Procedures: The Problem of Envy
• 13.8: Vickrey Auctions
• 13: Skills Check (1)

• Chapter 14: Apportionment
• 14.1: The Apportionment Problem (2)
• 14.2: The Hamilton Method (4)
• 14.3: Divisor Methods (7)
• 14.4: Which Divisor Method Is Best? (8)
• 14: Skills Check

• Chapter 15: Game Theory: The Mathematics of Competition
• 15.1: Two-Person Total-Conflict Games: Pure Strategies (4)
• 15.2: Two-Person Total-Conflict Games: Mixed Strategies (9)
• 15.3: Partial-Conflict Games (3)
• 15.4: Larger Games (2)
• 15.5: Using Game Theory
• 15: Skills Check

• Chapter 16: Identification Numbers
• 16.1: Check Digits (13)
• 16.2: The ZIP Code
• 16.3: Bar Codes (3)
• 16.4: Encoding Personal Data (3)
• 16: Skills Check (5)

• Chapter 17: Information Science
• 17.1: Binary Codes (2)
• 17.2: Encoding with Parity-Check Sums (2)
• 17.3: Data Compression (5)
• 17.4: Cryptography (5)
• 17.5: Web Searches and Mathematical Logic
• 17: Skills Check (5)

• Chapter 18: Growth and Form
• 18.1: Geometric Similarity (3)
• 18.2: How Much Is That in ...? (3)
• 18.3: Scaling a Mountain (3)
• 18.4: Sorry, No King Kongs (7)
• 18.5: Dimension Tension (4)
• 18.6: How to Grow
• 18: Skills Check (5)

• Chapter 19: Symmetry and Patterns
• 19.1: Fibonacci Numbers and the Golden Ratio (4)
• 19.2: Rosette, Strip, and Wallpaper Patterns (3)
• 19.3: Notation for Patterns (10)
• 19.4: Symmetry Groups (2)
• 19.5: Fractal Patterns and Chaos
• 19: Skills Check (5)

• Chapter 20: Tilings
• 20.1: Tilings with Regular Polygons (3)
• 20.2: Tilings with Irregular Polygons
• 20.3: Using Only Translations (1)
• 20.4: Using Translations Plus Half-Turns (1)
• 20.5: Nonperiodic Tilings (1)
• 20: Skills Check (5)

• Chapter 21: Saving Models
• 21.1: Arithmetic Growth and Simple Interest
• 21.2: Geometric Growth and Compound Interest (2)
• 21.3: A Limit to Compounding (2)
• 21.4: A Model for Saving (5)
• 21.5: Present Value and Inflation (1)
• 21: Skills Check (4)

• Chapter 22: Borrowing Models
• 22.1: Simple Interest
• 22.2: Compound Interest
• 22.3: Conventional Loans (6)
• 22.4: Annuities (1)
• 22: Skills Check (4)

• Chapter 23: The Economics of Resources
• 23.1: Growth Models for Biological Populations (5)
• 23.2: How Long Can a Nonrenewable Resource Last? (3)
• 23.4: Sustaining Renewable Resources (1)
• 23.5: The Economics of Harvesting Resources
• 23.6: Dynamical Systems and Chaos
• 23: Skills Check (5)

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Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

Question Group Key
XP - Extra Problem
SC - Skills Check

Question Availability Color Key
BLACK questions are available now
GRAY questions are under development

Group Quantity Questions
Chapter 1: Urban Services
1.2 11 008 010 014 019 022 026 028 030 032 036 501.XP
1.4 11 038 040 044 046 050 052 056 058 062 064 501.XP
2.SC 4 009 012 019 021
2.1 7 005 012 016 018 030 036 501.XP
2.3 4 038 046 048 050
2.4 5 054 056 064 066 070
2.5 1 074
Chapter 3: Planning and Scheduling
3.SC 5 001 013 014 025 030
3.2 6 006 014 016 022 028 030
3.3 5 032 036 040 042 048
3.4 7 050 052 054 058 060 066 068
3.5 5 072 074 076 082 089
Chapter 4: Linear Programming
4.1 9 005 008 010 012 013 016 018 026 028
4.4 11 034 036 038 040 042 044 046 048 050 052 058
Chapter 5: Exploring Data: Distributions
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5.2 2 002 006
5.3 1 010
5.4 1 014
5.6 5 022 023 024 028 030
5.7 2 034 038
5.9 5 046 048 050 052 054
Chapter 6: Exploring Data: Relationships
6.CR 1 050
6.SC 5 001 010 011 016 017
6.1 1 006
6.2 1 016
6.3 4 018 022a 022b 028
6.4 3 030 034 038
6.5 4 040 042 044 046
Chapter 7: Data for Decisions
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7.1 1 002
7.2 2 004 006
7.3 1 012
7.5 1 028
7.7 2 036 040
7.8 3 042 052 501.XP
Chapter 8: Probability: The Mathematics of Chance
8.CR 2 058 060
8.SC 5 002 010 011 013 019
8.1 3 001 004 010
8.2 2 014 018
8.3 1 022
8.5 3 036 038 042
8.6 4 048 050 052 054
Chapter 9: Social Choice: The Impossible Dream
9.2 1 002
9.3 16 011 014 015 016 017 018 019 020 022 023 024 025 026 030 033 034
9.5 1 041
Chapter 10: The Manipulability of Voting Systems
10.SC 5 001 003 013 021 027
10.2 1 006
10.3 2 012 022
10.4 1 031
10.5 1 033
Chapter 11: Weighted Voting Systems
11.SC 2 003 007
11.1 2 003 501.XP
11.2 1 009
11.3 5 014 015 017 021 501.XP
11.4 6 029 031 033 036 040 501.XP
Chapter 12: Electing the President
12.SC 5 003 011 013 022 024
12.1 2 003 008
12.2 3 018 020 024
12.3 1 026
12.4 3 034 036 038
12.5 1 046
Chapter 13: Fair Division
13.SC 1 020
13.1 3 002 004 009
13.2 5 010 011 012 013 014
13.4 3 019 021 023
13.5 1 026
Chapter 14: Apportionment
14.1 2 001 002
14.2 4 008 010 011 015
14.3 7 017 018 020 029 030 032 033
14.4 8 034 035 038 039 040 042 501.XP 502.XP
Chapter 15: Game Theory: The Mathematics of Competition
15.1 4 001 002 003 004
15.2 9 008 009 010 011 012 013 014 016 501.XP
15.3 3 024 026 028
15.4 2 037 039
Chapter 16: Identification Numbers
16.SC 5 001 014 016 028 030
16.1 13 006 008 018 021 028 030 032 038 046 048 050 052 054
16.3 3 060 062 066
16.4 3 080 082 084
Chapter 17: Information Science
17.SC 5 003 004 008 010 012
17.1 2 002 004
17.2 2 010 014
17.3 5 016 018 020 024 028
17.4 5 030 038 039 048 050
Chapter 18: Growth and Form
18.SC 5 001 005 014 501.XP 502.XP
18.1 3 002 006 501.XP
18.2 3 022 501.XP 502.XP
18.3 3 501.XP 502.XP 503.XP
18.4 7 032 034 036 038 040 042 044
18.5 4 046 048 056 501.XP
Chapter 19: Symmetry and Patterns
19.SC 5 001 004 006 023 025
19.1 4 004 012 018 501.XP
19.2 3 026 028 032
19.3 10 036 038 040 042 044 046 048 050 052 054
19.4 2 058 074
Chapter 20: Tilings
20.SC 5 002 012 014 019 026
20.1 3 002 004 008
20.3 1 016
20.4 1 032
20.5 1 048
Chapter 21: Saving Models
21.SC 4 002 004 015 017
21.2 2 012 019
21.3 2 024 026
21.4 5 034 036 066 068 070
21.5 1 064
Chapter 22: Borrowing Models
22.SC 4 002 010 014 016
22.3 6 021 022 023 024 026 028
22.4 1 047
Chapter 23: The Economics of Resources
23.SC 5 005 008 021 022 024
23.1 5 001 002 004 006 010
23.2 3 012 018 501.XP
23.4 1 044
Total 416