For All Practical Purposes 8th edition

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COMAP Inc. ( The 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

  • Chapter 2: Business Efficiency
    • 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 (5)

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

  • Chapter 4: Linear Programming
    • 4.1: 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 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 Spread: The Quartiles
    • 5.6: The Five-Number Summary and Boxplots (5)
    • 5.7: Describing Spread: The Standard Deviation (2)
    • 5.8: Normal Distributions
    • 5.9: The 68-95-99.7 Rule (7)
    • 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 (8)
    • 6: Skills Check (5)

  • Chapter 7: Data for Decisions
    • 7.1: Sampling (1)
    • 7.2: Bad Sampling Methods (2)
    • 7.3: Simple Random Samples (3)
    • 7.4: Cautions About Sample Surveys
    • 7.5: Experiments (1)
    • 7.6: Experiments Versus Observational Studies
    • 7.7: Inference: From Sample to Population (3)
    • 7.8: Confidence Intervals (4)
    • 7: Skills Check (5)

  • Chapter 8: Probability: The Mathematics of Chance
    • 8.1: Probability Models and Rules (3)
    • 8.2: Discrete Probability Models (3)
    • 8.3: Equally Likely Outcomes (1)
    • 8.4: Continuous Probability Models (1)
    • 8.5: The Mean and Standard Deviation of a Probability Model (5)
    • 8.6: The Central Limit Theorem (6)
    • 8: Skills Check (5)

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

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

  • Chapter 11: Weighted Voting Systems
    • 11.1: How Weighted Voting Works (4)
    • 11.2: Shapley-Shubik Power Index (2)
    • 11.3: Banzhaf Power Index (6)
    • 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: 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 with Envy
    • 13: Skills Check (1)

  • Chapter 14: Apportionment
    • 14.1: The Apportionment Problem (2)
    • 14.2: The Hamilton Method (5)
    • 14.3: Divisor Methods (8)
    • 14.4: Which Divisor Method is Best? (9)
    • 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: Skills Check

  • Chapter 16: Identification Numbers
    • 16.1: Check Digits (16)
    • 16.2: The Zip Code (3)
    • 16.3: Bar Codes
    • 16.4: Encoding Personal Data (4)
    • 16: Skills Check (5)

  • Chapter 17: Information Science
    • 17.1: Binary Codes (2)
    • 17.2: Encoding with Parity-Check Sums (3)
    • 17.3: Data Compression (5)
    • 17.3a: Cryptography (6)
    • 17.4: 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 Translations (1)
    • 20.4: Using Translations Plus Half-Turns (1)
    • 20.5: Nonperiodic Tilings (1)
    • 20: Skills Check (5)

  • Chapter 21: Savings Model
    • 21.1: Arithmetic Growth and Simple Interest
    • 21.2: Geometric Growth and Compound Interest (2)
    • 21.3: A Limit to Compounding (3)
    • 21.4: A Model for Saving (3)
    • 21.5: Present Value and Inflation (6)
    • 21: Skills Check (5)

  • Chapter 22: Borrowing Models
    • 22.1: Simple Interest
    • 22.2: Compound Interest
    • 22.3: Conventional Loans (9)
    • 22.4: Annuities (1)
    • 22: Skills Check (5)

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

  • Chapter L: Logic
    • L.1: Symbolic Statements
    • L.2: Truth Tables
    • L.3: The Contrapositive, Converse, and Inverse
    • L.4: Syllogistic Arguments
    • L.5: Categorical Arguments
    • L.6: Valid and Sound Arguments
    • 23: Skills Check

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
E - Exercises
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.E 22 006 010 012 015 016 018 022 024 026 028 032 034 036 038 040 044 046 048 050 052 056 058
Chapter 2: Business Efficiency
2.E 17 003 010 014 016 026 028 034 036 042 044 046 050 052 060 062 066 070
2.SC 5 001 004 008 009 011
Chapter 3: Planning and Scheduling
3.E 23 006 012 014 018 024 026 028 032 036 038 044 046 048 050 054 056 062 064 068 070 072 076 083
3.SC 5 001 010 011 017 020
Chapter 4: Linear Programming
4.E 20 003 006 008 010 011 014 016 024 026 028 030 032 034 036 038 040 042 044 046 052
Chapter 5: Exploring Data: Distributions
5.E 18 002 006 010 014 020 021 022 026 028 032 034 042 044 046 048 050 052 054
Chapter 6: Exploring Data: Relationships
6.E 14 006 014 016 018 020 026 028 032 036 038 040 042 044 048
6.SC 5 001 006 007 013 014
Chapter 7: Data for Decisions
7.E 14 002 004 006 010 012 014 030 036 038 040 042 044 046 052
7.SC 5 001 002 006 007 015
Chapter 8: Probability: The Mathematics of Chance
8.E 19 001 004 010 012 016 018 020 030 032 034 036 040 042 046 048 050 052 054 056
8.SC 5 002 008 009 011 015
Chapter 9: Social Choice: The Impossible Dream
9.E 18 002 009 010 011 012 013 014 015 016 018 019 020 021 022 026 029 030 035
Chapter 10: The Manipulability of Voting Systems
10.E 5 006 012 020 027 029
10.SC 5 001 003 007 015 017
Chapter 11: Weighted Voting Systems
11.E 18 001 002 003 004 007 010 013 014 015 016 017 020 029 031 033 036 038 040
11.SC 2 003 007
Chapter 12: Electing the President
12.E 10 002 004 016 018 022 024 030 032 034 042
12.SC 5 003 007 009 012 016
Chapter 13: Fair Division
13.E 12 002 004 007 008 009 010 011 012 017 019 021 022
13.SC 1 014
Chapter 14: Apportionment
14.E 24 001 002 005 006 008 009 013 015 016 018 019 020 022 024 025 026 027 028 030 031 032 033 036 044
Chapter 15: Game Theory: The Mathematics of Competition
15.E 18 001 002 003 004 006 007 008 009 010 011 012 014 017 020 022 024 032 034
Chapter 16: Identification Numbers
16.E 23 002 004 006 012 015 018 020 022 024 026 034 036 038 040 042 044 050 052 054 064 066 068 072
16.SC 5 001 010 012 018 020
Chapter 17: Information Science
17.E 16 002 004 010 014 018 020 022 024 030 032 034 036 042 044 046 048
17.SC 5 001 004 008 010 012
Chapter 18: Growth and Form
18.E 20 002 006 008 016 018 022 024 026 028 032 034 036 038 040 042 044 046 048 054 056
18.SC 5 001 003 005 010 020
Chapter 19: Symmetry and Patterns
19.E 19 004 012 016 018 024 026 030 034 036 038 040 042 044 046 048 050 052 056 062
19.SC 5 001 004 006 017 019
Chapter 20: Tilings
20.E 6 002 004 008 014 028 044
20.SC 5 002 010 013 014 020
Chapter 21: Savings Model
21.E 14 006 012 016 018 022 024 026 032 042 050 054 056 058 060
21.SC 5 002 003 008 009 016
Chapter 22: Borrowing Models
22.E 10 012 029 030 031 032 034 036 042 044 047
22.SC 5 002 009 010 012 014
Chapter 23: The Economics of Resources
23.E 8 001 002 004 006 010 012 018 020
23.SC 5 003 006 012 015 016
Total 446