Using and Understanding Mathematics
Author: Jeffrey O. Bennett,
8thEdition
1
, Chapter 1
Exam
Name
SHORT ANSWER. Write The Word Or Phrase That Best Completes Each Statement Or Answers The
Question.
The Statement Connects Two Individual Propositions With The Word Or. State Whether The Entire Statement Is True Or
False, And Explain Why.
1) 9 + 5 = 14 Or 6 × 7 = 42 1)
Draw A Venn Diagram To Represent The Given Information.
2) In A Complex Of 60 Apartments, 40 Apartments Have Cable Television, 25 Apartments Have A 2)
Dishwasher, And 13 Apartments Have Both Cable Television And A Dishwasher.
Decide Whether The Statement Makes Sense. Explain Your Reasoning.
3) Insurance Policy A Costs $250 And Has No Deductible. Insurance Policy B Costs $275 And 3)
Has A $500 Yearly Deductible. Candace Thinks The Extra $25 Per Month Is Worth It To
Get The $500 Deductible, So She Buys Policy B.
Draw A Venn Diagram With Three Overlapping Circles For The Three Given Sets. Label The Contents Of Every Region.
If A Region Has No Members, State That Fact Clearly.
4) Salty Things, Sweet Things, Tangy Things 4)
Decide Whether The Statement Makes Sense. Explain Your Reasoning.
5) I Know More Of The Names Of The Common Fallacies In Arguments Than My Father, So I Can 5)
Recognize Fallacies Better Than He Can.
The Statement Contains A Double Or Multiple Negation. Analyze The Statement, Explaining What It Means.
6) "As Your Senator, I Cannot In Good Conscience Oppose Those Who Are Against 6)
Deregulation."
A Seemingly Simple Argument Is Given. Identify At Least Two Hidden Assumptions.
7) Cardiovascular Exercise Is Important, Because To Be Healthy You Need A Strong Heart. 7)
Draw A Venn Diagram For The Given Sets. In Words, Explain Why You Drew One Set As A Subset Of The Other,
Disjoint Sets, Or Overlapping Sets.
8) Beverages And Soft Drinks 8)
A Categorical Proposition Is Given. If It Is Not Already In Standard Form, Rephrase It. State The Subject And Predicate
Sets, And Draw A Venn Diagram For The Proposition. Label All Regions Of The Diagram Clearly.
9) Movies Are Entertaining. 9)
2
,Use Your Knowledge Of The Listed Sets To Draw A A Venn Diagram Illustrating The Relationships Among Them.
10) Real Numbers, Integers, Positive Numbers, Negative Numbers, Irrational Numbers 10)
3
, The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
11) The House of Representatives voted to override the veto of the communications bill. 11)
The Statement Connects Two Individual Propositions With The Word And. State Whether The Entire Statement Is True Or
False, And Explain Why.
12) The Sun Is Bigger Than The Moon And The Sun Rotates Around The Earth. 12)
The Statement Connects Two Individual Propositions With The Word Or. State Whether The Entire Statement Is True Or
False, And Explain Why.
13) There Are 25 Letters In The English Alphabet Or The Letter C Is A Vowel. 13)
Analyze The Situation And Explain How You Would Make A Decision.
14) Your Current Cell Phone Company Charges $30 Per Month For Unlimited Minutes. 14)
Another Company Charges $20 Per Month For The First 500 Minutes Plus 5¢ A Minute
For Any Additional Minutes. Should You Keep Your Current Service Or Switch To The
Other Company?
A Categorical Proposition Is Given. If It Is Not Already In Standard Form, Rephrase It. State The Subject And Predicate
Sets, And Draw A Venn Diagram For The Proposition. Label All Regions Of The Diagram Clearly.
15) Some Singers Are Not Children. 15)
Draw A Venn Diagram For The Given Sets. In Words, Explain Why You Drew One Set As A Subset Of The Other,
Disjoint Sets, Or Overlapping Sets.
16) Even Numbers And Odd Numbers 16)
Describe How The Sentence Is Ambiguous.
17) There Was A 15% Decrease In Donations To The Homeless Shelter Between 1996 And 17)
2000, A Year In Which $50,000 Was Collected.
Determine The Truth Of The Premises, Discuss The Strength Of The Argument, And Assess The Truth Of The Conclusion.
18) Premise: 6 + 13 = 19 18)
Premise: 16 + 9 = 25
Premise: 34 + 35 = 69
Conclusion: Whenever We Add An Even Number And An Odd Number, The Result Is An Odd
Number.
Provide An Appropriate Response.
19) The Members Of A Union Are On Strike. They Are Satisfied With Their Hourly Wage 19)
Rate And Benefits, But They Want Their Overtime Wage Rate To Be Increased By 15% In
Their Next Contract. The Head Of Management Makes The Following Statement To The
Head Of The Union: "If You End The Strike Today And Sign The Contract, We Will Meet
Your Demand And Increase The Overtime Wage Rate By 15%." Should The Union Head
Accept The Offer? Explain.
The Statement Connects Two Individual Propositions With The Word And. State Whether The Entire Statement Is True Or
False, And Explain Why.
20) George Washington Was The First President Of The United States Of America And 20)
France Is In Europe.
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