Test Bank Using & Understanding Mathematics: A Quantitative Reasoning Approach
9th Edition Jeffrey O. Bennett | William L. Briggs
Includes All Chapters | Answers Included at the End of This Document
Table of Contents
1 Thinking Critically
1A Living in the Media Age....................................................................... 1
1B Propositions and Truth Values ............................................................. 9
1C Sets and Venn Diagrams .................................................................... 17
1D Analyzing Arguments ......................................................................... 29
1E Critical Thinking in Everyday Life .................................................... 37
2 Approaches to Problem Solving
2A Understand, Solve, and Explain ......................................................... 46
2B Extending Unit Analysis..................................................................... 52
2C Problem-Solving Hints ....................................................................... 58
3 Numbers in the Real World
3A Uses and Abuses of Percentages ........................................................ 66
3B Putting Numbers in Perspective ......................................................... 74
3C Dealing with Uncertainty ................................................................... 80
3D Index Numbers: The CPI and Beyond................................................ 88
3E Numerical Surprises: Polygraphs,
Mammograms, and More ................................................................... 96
4 Managing Money
4A Taking Control of Your Finances ..................................................... 108
4B The Power of Compounding ............................................................ 114
4C Savings Plans and Investments ......................................................... 120
4D Loan Payments, Credit Cards, and Mortgages ................................. 126
4E Personal Income Taxes ..................................................................... 132
4F Understanding the Federal Budget ................................................... 140
5 Statistical Reasoning
5A Fundamentals of Statistics ................................................................ 146
5B Should You Believe a Statistical Study? .......................................... 154
5C Statistical Tables and Graphs ........................................................... 162
5D Graphics in the Media ...................................................................... 172
5E Correlation and Causality ................................................................. 180
6 Putting Statistics to Work
6A Characterizing Data .......................................................................... 190
6B Measures of Variation ...................................................................... 198
6C The Normal Distribution .................................................................. 206
6D Statistical Inference .......................................................................... 214
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,7 Probability: Living with the Odds
7A Fundamentals of Probability............................................................. 222
7B Combining Probabilities ................................................................... 230
7C The Law of Large Numbers ............................................................. 238
7D Assessing Risk .................................................................................. 246
7E Counting and Probability .................................................................. 254
8 Exponential Astonishment
8A Growth: Linear versus Exponential .................................................. 260
8B Doubling Time and Half-Life ........................................................... 268
8C Real Population Growth ................................................................... 274
8D Logarithmic Scales: Earthquakes, Sounds, and Acids ..................... 282
9 Modeling Our World
9A Functions: The Building Blocks of Mathematical Models............... 288
9B Linear Modeling ............................................................................... 294
9C Exponential Modeling ...................................................................... 303
10 Modeling with Geometry
10A Fundamentals of Geometry .............................................................. 313
10B Problem Solving with Geometry ...................................................... 323
10C Fractal Geometry .............................................................................. 330
11 Mathematics and the Arts
11A Mathematics and Music .................................................................... 334
11B Perspective and Symmetry ............................................................... 338
11C Proportion and the Golden Ratio ...................................................... 344
12 Mathematics and Politics
12A Voting: Does the Majority Always Rule? ........................................ 350
12B Theory of Voting .............................................................................. 358
12C Apportionment: The House of Representatives and Beyond ........... 368
12D Dividing the Political Pie.................................................................. 379
Answers to Unit Exams ................................................................................ 387
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, Name:
Unit 1A Test 1 Date:
1. List the two components of a logical argument.
2. Summarize the fallacy of personal attack.
3. Summarize the fallacy of false cause.
4. Give an example of an argument that involves a straw man.
5. List the premise and the conclusion of the following argument:
The dogs are barking. Someone must be outside.
6. List the premise and the conclusion of the following argument:
People love puppies, so don’t count on there being any puppies at the animal shelter.
-1-
Copyright © 2027
, Unit 1A Test 1 (continued) Name:
7. For the following argument, briefly explain how the fallacy of hasty generalization occurs in the
argument.
Obviously it is best not to testify on your own behalf. Casey Anthony and George Zimmerman each
declined to testify, and they were both found “not guilty.”
8. For the following argument, briefly explain how the fallacy of appeal to popularity occurs in the
argument.
Most people find out what’s happening on social media or other internet sites so it is the most reliable
source for news.
9. For the following argument, identify one or more of the 10 fallacies described in this unit. Explain how
the fallacy is involved.
“Finding Bigfoot” has yet to provide evidence that bigfoots exist, so all those sightings are obviously
bogus.
10. When evaluating information from media, explain the importance to consider the source.
-2-
Copyright © 2027
9th Edition Jeffrey O. Bennett | William L. Briggs
Includes All Chapters | Answers Included at the End of This Document
Table of Contents
1 Thinking Critically
1A Living in the Media Age....................................................................... 1
1B Propositions and Truth Values ............................................................. 9
1C Sets and Venn Diagrams .................................................................... 17
1D Analyzing Arguments ......................................................................... 29
1E Critical Thinking in Everyday Life .................................................... 37
2 Approaches to Problem Solving
2A Understand, Solve, and Explain ......................................................... 46
2B Extending Unit Analysis..................................................................... 52
2C Problem-Solving Hints ....................................................................... 58
3 Numbers in the Real World
3A Uses and Abuses of Percentages ........................................................ 66
3B Putting Numbers in Perspective ......................................................... 74
3C Dealing with Uncertainty ................................................................... 80
3D Index Numbers: The CPI and Beyond................................................ 88
3E Numerical Surprises: Polygraphs,
Mammograms, and More ................................................................... 96
4 Managing Money
4A Taking Control of Your Finances ..................................................... 108
4B The Power of Compounding ............................................................ 114
4C Savings Plans and Investments ......................................................... 120
4D Loan Payments, Credit Cards, and Mortgages ................................. 126
4E Personal Income Taxes ..................................................................... 132
4F Understanding the Federal Budget ................................................... 140
5 Statistical Reasoning
5A Fundamentals of Statistics ................................................................ 146
5B Should You Believe a Statistical Study? .......................................... 154
5C Statistical Tables and Graphs ........................................................... 162
5D Graphics in the Media ...................................................................... 172
5E Correlation and Causality ................................................................. 180
6 Putting Statistics to Work
6A Characterizing Data .......................................................................... 190
6B Measures of Variation ...................................................................... 198
6C The Normal Distribution .................................................................. 206
6D Statistical Inference .......................................................................... 214
iii
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,7 Probability: Living with the Odds
7A Fundamentals of Probability............................................................. 222
7B Combining Probabilities ................................................................... 230
7C The Law of Large Numbers ............................................................. 238
7D Assessing Risk .................................................................................. 246
7E Counting and Probability .................................................................. 254
8 Exponential Astonishment
8A Growth: Linear versus Exponential .................................................. 260
8B Doubling Time and Half-Life ........................................................... 268
8C Real Population Growth ................................................................... 274
8D Logarithmic Scales: Earthquakes, Sounds, and Acids ..................... 282
9 Modeling Our World
9A Functions: The Building Blocks of Mathematical Models............... 288
9B Linear Modeling ............................................................................... 294
9C Exponential Modeling ...................................................................... 303
10 Modeling with Geometry
10A Fundamentals of Geometry .............................................................. 313
10B Problem Solving with Geometry ...................................................... 323
10C Fractal Geometry .............................................................................. 330
11 Mathematics and the Arts
11A Mathematics and Music .................................................................... 334
11B Perspective and Symmetry ............................................................... 338
11C Proportion and the Golden Ratio ...................................................... 344
12 Mathematics and Politics
12A Voting: Does the Majority Always Rule? ........................................ 350
12B Theory of Voting .............................................................................. 358
12C Apportionment: The House of Representatives and Beyond ........... 368
12D Dividing the Political Pie.................................................................. 379
Answers to Unit Exams ................................................................................ 387
iv
Copyright © 2027
, Name:
Unit 1A Test 1 Date:
1. List the two components of a logical argument.
2. Summarize the fallacy of personal attack.
3. Summarize the fallacy of false cause.
4. Give an example of an argument that involves a straw man.
5. List the premise and the conclusion of the following argument:
The dogs are barking. Someone must be outside.
6. List the premise and the conclusion of the following argument:
People love puppies, so don’t count on there being any puppies at the animal shelter.
-1-
Copyright © 2027
, Unit 1A Test 1 (continued) Name:
7. For the following argument, briefly explain how the fallacy of hasty generalization occurs in the
argument.
Obviously it is best not to testify on your own behalf. Casey Anthony and George Zimmerman each
declined to testify, and they were both found “not guilty.”
8. For the following argument, briefly explain how the fallacy of appeal to popularity occurs in the
argument.
Most people find out what’s happening on social media or other internet sites so it is the most reliable
source for news.
9. For the following argument, identify one or more of the 10 fallacies described in this unit. Explain how
the fallacy is involved.
“Finding Bigfoot” has yet to provide evidence that bigfoots exist, so all those sightings are obviously
bogus.
10. When evaluating information from media, explain the importance to consider the source.
-2-
Copyright © 2027
