For All Practical Purposes 7th edition

Textbook Cover

COMAP, Inc. (The Consortium for Mathematics and its Applications)
Publisher: Macmillan Learning


Access is contingent on use of this textbook in the instructor's classroom.

  • Chapter 1: Urban Services
    • 1: Basic Concepts (10)
    • 1: Euler Circuits (3)
    • 1: Eulerization and Squeezing (12)
    • Skills Check
    • Skills Check

  • Chapter 2: Business Efficiency
    • 2: Hamiltonian Circuits (6)
    • 2: Counting Problems (5)
    • 2: Traveling Salesman Problems (4)
    • 2: Trees and Spanning Trees (6)
    • 2: Critical-Path Analysis (1)
    • Skills Check
    • Skills Check

  • Chapter 3: Planning and Scheduling
    • 3: Scheduling (2)
    • 3: Using the List-Processing Algorithm (7)
    • 3: Independent Tasks and Other Issues (4)
    • 3: Bin Packing (7)
    • 3: Coloring Problems and Conflict Resolution (5)
    • Skills Check
    • Skills Check

  • Chapter 4: Linear Programming
    • 4: Graphing (1)
    • 4: Resource-Constraint Inequalities (3)
    • 4: Graphing the Feasible Region (3)
    • 4: Finding Points in the Feasible Region (1)
    • 4: Graphing the Feasible Region (3)
    • 4: Linear Programming and Its Geometry (2)
    • 4: Mixture Problems and Linear Programming (10)
    • Skills Check
    • Skills Check

  • Chapter 5: Exploring Data: Distributions
    • 5: Exercise
    • 5: Displaying Distributions: Histograms (2)
    • 5: Displaying Distributions: Stemplots (1)
    • 5: Describing Center: Mean and Median (2)
    • 5: Quartiles, the Five-Number Summary, and Boxplots (5)
    • 5: Describing Spread: The Standard Deviation (2)
    • 5: Normal Distributions and the 68-95-99.7 Rule (5)
    • 5: Chapter Review (2)
    • Skills Check
    • Skills Check

  • Chapter 6: Exploring Data: Relationships
    • 6: Exercise
    • 6: Scatterplots (2)
    • 6: Regression Lines (3)
    • 6: Correlation (4)
    • 6: Least-Square Regression (4)
    • 6: Interpreting Correlation and Regression (4)
    • 6: Chapter Review (1)
    • Skills Check
    • Skills Check

  • Chapter 7: Data for Decisions
    • 7: Sampling (1)
    • 7: Bad Sampling Methods (1)
    • 7: Simple Random Samples (3)
    • 7: Cautions About Sample Surveys
    • 7: Experiments (1)
    • 7: Thinking About Experiments
    • 7: Inference: From Sample to Population (3)
    • 7: Confidence Intervals (4)
    • 7: Chapter Review
    • Skills Check
    • Skills Check

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

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

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

  • Chapter 11: Weighted Voting Systems
    • 11: How Weighted Voting Works (4)
    • 11: Shapley-Shubik Power Index (3)
    • 11: Banzhaf Power Index (7)
    • 11: Comparing Voting Systems (9)
    • Skills Check
    • Skills Check (7)

  • Chapter 12: Electing the President
    • 12: Spatial Models for Two-Candidate Elections (2)
    • 12: Spatial Models for Multicandidate Elections (3)
    • 12: Winnowing the Field (1)
    • 12: What Drives Candidates Out? (3)
    • 12: Election Reform: Approval Voting (1)
    • 12: The Electoral College
    • Skills Check
    • Skills Check

  • Chapter 13: Fairness and Game Theory
    • 13: The Adjusted Winner Procedure (3)
    • 13: The Knaster Inheritance Procedure (5)
    • 13: Taking Turns (3)
    • 13: Divide-and-Choose (1)
    • 13: Cake-Division Procedures: Proportionality
    • 13: Cake-Division Procedures: The Problem of Envy
    • Skills Check
    • Skills Check (1)

  • Chapter 14: Apportionment Problem
    • 14: The Apportionment Problem (2)
    • 14: The Hamilton Method (6)
    • 14: Divisor Methods (10)
    • 14: Which Divisor Method Is Best? (5)
    • Skills Check
    • Skills Check

  • Chapter 15: Game Theory: The Mathematics of Competition
    • 15: Total-Conflict Games (13)
    • 15: Partial-Conflict Games (3)
    • 15: Larger Games (2)
    • Skills Check
    • Skills Check

  • Chapter 16: The Digital Revolution
    • 16: Check Digits (18)
    • 16: Postnet Codes (3)
    • 16: Bar Codes
    • 16: Encoding Personal Data (4)
    • Skills Check
    • Skills Check

  • Chapter 17: Information Science
    • 17: Binary Codes (2)
    • 17: Parity-Check Sums (3)
    • 17: Data Compression (5)
    • 17: Cryptography (6)
    • 17: Encrypting Credit-Card Data on the Web (2)
    • 17: Web Searches and Mathematical Logic
    • Skills Check
    • Skills Check

  • Chapter 18: On Size and Growth
    • 18: Geometric Similarity (3)
    • 18: How Much Is That in...? (4)
    • 18: Scaling Real Objects (3)
    • 18: Sorry, No King Kongs (7)
    • 18: Dimension Tension (4)
    • 18: How to Grow
    • Skills Check
    • Skills Check

  • Chapter 19: Symmetry and Patterns
    • 19: Fibonacci Numbers (1)
    • 19: The Golden Ratio (3)
    • 19: Symmetries Preserve the Pattern (3)
    • 19: Rosette, Strip, and Wallpaper Patterns (3)
    • 19: Strip Patterns (1)
    • 19: Imperfect Patterns (6)
    • 19: Symmetry Groups (2)
    • 19: Fractal Patterns
    • Skills Check
    • Skills Check

  • Chapter 20: Tilings
    • 20: Tilings with Regular Polygons (3)
    • 20: Tilings with Irregular Polygons
    • 20: Using Translations (1)
    • 20: Using Translations Plus Half-Turns (1)
    • 20: Nonperiodic Tilings (1)
    • Skills Check
    • Skills Check

  • Chapter 21: Your Money and Resources
    • 21: Geometric Growth and Compound Interest (5)
    • 21: A Limit to Compounding (3)
    • 21: A Model for Investment (5)
    • 21: Exponential Decay and the Consumer Price Index (6)
    • 21: Real Growth and Valuing Investments (4)
    • Skills Check
    • Skills Check

  • Chapter 22: Borrowing Models
    • 22: Simple Interest (4)
    • 22: Compound Interest (3)
    • 22: Conventional Loans (16)
    • 22: Annuities (2)
    • Skills Check
    • Skills Check

  • Chapter 23: The Economics of Resources
    • 23: Growth Models for Biological Populations
    • 23: How Long Can a Nonrenewable Resource Last?
    • 23: Sustaining Renewable Resources
    • 23: Mathematical Chaos
    • Skills Check
    • 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 - Exercise


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


Group Quantity Questions
Chapter 1: Urban Services
1.E 25 002 004 006 008 010 012 014 016 020 022 024 026 030 032 034 036 038 040 042 044 046 048 050 052 054
Chapter 2: Business Efficiency
2.E 22 002 004 008 012 014 018 022 024 026 030 032 034 040 042 044 048 050 052 058 060 064 068
Chapter 3: Planning and Scheduling
3.E 25 002 004 010 012 014 016 022 024 026 030 034 036 040 042 044 046 050 052 058 060 064 066 068 072 076
Chapter 4: Linear Programming
4.E 23 002 004 006 008 010 012 014 016 020 022 024 026 028 030 032 034 036 038 040 042 044 046 050
Chapter 5: Exploring Data: Distributions
5.E 19 002 006 010 012 014 018 020 022 024 026 030 032 042 044 046 048 050 052 054
Chapter 6: Exploring Data: Relationships
6.E 18 004 006 010 012 014 016 018 020 026 028 032 034 036 038 040 042 044 048
Chapter 7: Data for Decisions
7.E 13 002 004 010 012 014 018 036 038 040 042 044 046 052
Chapter 8: Probability: The Mathematics of Chance
8.E 23 002 004 010 012 016 018 020 022 024 026 028 030 032 034 036 040 042 046 048 050 052 054 056
Chapter 9: Voting and Social Choice
9.E 18 002 007 008 009 010 011 012 013 014 016 017 018 019 020 024 027 028 032
Chapter 10: The Manipulability of Voting Systems
10.E 5 006 012 020 024 026
Chapter 11: Weighted Voting Systems
11.E 23 001 002 003 004 006 007c 008 011 012 013 014 015 016 018 019a 024 026 028 030 031ac 032 034 036
11.SC 7 003 004 008 010 011 012 013
Chapter 12: Electing the President
12.E 10 002 004 016 018 022 024 030 032 034 042
Chapter 13: Fairness and Game Theory
13.E 12 002 004 007 008 009 010 011 012 014 016 018 019
13.SC 1 014
Chapter 14: Apportionment Problem
14.E 23 001 002 005 006 008 009 010 013 015 016 018 019 020 021 022 023 028 029 032 033 034 035 044
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: The Digital Revolution
16.E 25 002 004 006 008 010 012 014 016 018 020 022 024 032 034 036 038 040 042 048 050 052 062 064 066 070
Chapter 17: Information Science
17.E 18 002 004 010 014 018 020 022 024 030 032 034 036 038 040 042 046 052 054
Chapter 18: On Size and Growth
18.E 21 002 006 008 016 018 020 022 024 026 028 032 034 036 038 040 042 044 046 048 052 054
Chapter 19: Symmetry and Patterns
19.E 19 004 008 010 012 020 022 026 028 030 032 034 036 038 040 042 044 046 050 054
Chapter 20: Tilings
20.E 6 002 004 008 014 028 040
Chapter 21: Your Money and Resources
21.E 23 002 004 006 008 010 012 014 016 018 020 022 024 026 030 032 034 036 040 042 044 046 048 050
Chapter 22: Borrowing Models
22.E 25 002 003 004 006 010 012 014 015 016 018 019 020 021 022 024 026 028 030 032 034 036 038 042 044 046
Chapter 23: The Economics of Resources
23 0  
Total 422