Test Bank For Math in Our World, 4th Edition

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.1)Determine whether the type of reasoning used is inductive or deductive reasoning.Ifa computer techsays it will cost$225to fix mycomputer, it will actually cost$300. Sincea computer techtold me it would cost$225to fix mycomputer, I can expect it to cost me$300.A)deductive reasoningB)inductive reasoningAnswer:A2)Determine whether the type of reasoning used is inductive or deductive reasoning.Victorhas already lost3cameras. He didn't spend a lot of money on his newestcamerabecause heknows he'll eventually lose that one too.A)inductive reasoningB)deductive reasoningAnswer:ASHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.3)Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in thesequence.781013172228Answer:354)Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in thesequence.141664256Answer:1,024MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.5)Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in thesequence.2025222724292631A)34B)36C)26D)28Answer:D6)Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in thesequence.13713151925273137A)39B)45C)41D)43Answer:A1

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7)Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result ofthe final calculation, and perform the operation to see if your answer is correct.02+ 1 = 112+ 3 =2222+ 5 =3232+ 7 =4242+ 9 =52...102+21= ?A)111B)122C)112D)120Answer:C8)Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result ofthe final calculation, and perform the operation to see if your answer is correct.12,345,679 × 9 = 111,111,11112,345,679 × 18 = 222,222,22212,345,679 × 27 = 333,333,333...12,345,679 ×45= ?A)555,555,510B)444,444,444C)666,666,666D)555,555,555Answer:D9)Write a counter example to show that the statement is false.When an odd number is added to the product of two even numbers,the result will be even.A)4Â5 + 2 = 22. 22 is even.B)3Â5 + 4 = 19. 19 is not even.C)4Â2 + 3 = 11. 11 is not even.D)4Â5 + 1 = 21. 21 is not even.Answer:C10)Write a counter example to show that the statement is false.When any number is multiplied by5and the digits of the answer are added, the sumwillbe divisible by5.A)111 ×5=555;5+5+5=15, which is not divisible by5.B)11 ×5=55;5+5=10, which is divisible by5.C)2×5=10;1+0=1, which is not divisible by5.D)10 ×5=50;5+ 0 =5, which is divisible by5.Answer:C2

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ESSAY. Write your answer in the space provided or on a separate sheet of paper.11)Read the following scenario and determine whether the type of reasoning used by Leanne isinductive or deductive. Explain how you decided.Leanne was concerned that if she continued to be late for work, she would lose her job.Answer:Deductive. Leanne knew that consistently being late can cause one to lose their job, so shereasoned that her tardiness could cause this to happen.12)Read the following scenario and determine whether the type of reasoning used by Paul is inductiveor deductive. Explain how you decided.Paul knew that his friend, Leanne, had been late the past 8 workdays, so he didn't save a seat forher at morning meeting.Answer:Inductive. Paul assumed that because Leanne had a pattern of being late, this pattern wouldcontinue.SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.13)Use inductive reasoning to conjecture the rule that relates the number youselectedto the final answer.Try to prove your conjecture using deductive reasoning.Select a number:Multiply by7:Subtract56from the answer:Divide by7:Subtract the original number:Answer:Final answer is always-8.Select a number:xMultiply by7:7xSubtract56from the answer:7x-56Divide by7:7x-567=x-8Subtract the original number:x-8-x=-83

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.14)Use inductive reasoning to make a conjecture about a rule that relates the originalnumberto the finalanswer. Try to prove your conjecture using deductive reasoning.Select a number.Add90.Multiply by6.Subtract540.Divide by6.Subtract the original number.A)The answer is always the original number.B)The answer is always450.C)The answer is always-450.D)The answer is always 0.Answer:D15)Use deductive reasoning to arrive at a conclusion.On Christmas Day,Japaneserestaurants andski slopesare always open, so this Christmas Day we canA)eatJapanesefood andgo skiing.B)watch football and open gifts.C)eat Mexican food andgo skiing.D)eat fast food andgo skiing.Answer:ASHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.16)Round to the nearestten.202Answer:200MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.17)Round to the nearest hundredth.2.87491A)2.87500B)2.88000C)2.87400D)2.87000Answer:D18)Round560,565,131to the nearestten-million.A)560,000,000B)560,570,000C)561,000,000D)600,000,000Answer:ASHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.19)An item that originally cost$279.99is on sale for20% off. Estimate the sale price of the item.Answer:$224-$2404

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20)Estimate the total cost of the following meal at a sub shop.sandwich$4.89chips$1.24soda$0.99Answer:approximately $721)Bob and Sue are celebrating their 5th wedding anniversary. Estimate the total cost of their evening based onthe prices below:theater$63.59dinner$76.83drinks$17.71taxi$13.25Answer:approximately$17222)Estimate the cost to live in an apartment for 1 year if the rent is$209per month and utilities are$64per month.Answer:approximately$3,240MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.23)For a specific year, the average household income for selected states is shown here. Estimate thedifference between the highest and lowest average incomes.A)$32,000B)$15,000C)$40,000D)$23,000Answer:D5

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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.24)For a specific year, the average household income for selected states is shown here. Estimate theaverage household income forOhio.Answer:$43,000MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.25)The demographics of an elementary school are shown below. The school has291students.Estimate the number of students who areWhite Non-Hispanic.A)9,603B)33C)10D)96Answer:D6

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26)Estimate the number of people living in the US in1,900.A)76,000,000B)96,000,000C)56,000,000D)9,600,000Answer:A27)The manager of an Internet cafe is having new counterscustom-made. She wants to put8PCsoneach counter with3feet between thePCsand2feet on each end. ThePCsmeasure 18 inches wideand 24 inches high. What length of counters should the Internet cafe have made?A)40ftB)37ftC)38ftD)41ftAnswer:B28)The length of a garden is double its width. There is a fence around the perimeter that measures114ft. What are the length and width of the garden?A)length =38ft, width =19ftB)length =28.5ft, width =57ftC)length =57ft, width =28.5ftD)length =19ft, width =38ftAnswer:ASHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.29)One number is21more than another number. The sum of the numbers is29. Find the numbers.Answer:4and2530)Arrange the digits3,4, and9to form two numbers divisible by 6.Answer:394and9347

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.31)Phil has12stamps of denominations$0.37and$0.23. If the total value of the stamps is$4.02howmany$0.37stamps does Phil have?A)3B)10C)8D)9Answer:DSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.32)The peak rate of a phone company is22¢per minute, and theoff-peakrate is12¢per minute. Findthe savings for a23-minutephone call if it was made duringoff-peaktime as opposed to peak time.Answer:$2.30MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.33)Janehas15phone cards worth either$20or$15. How many of each does he have if the phonecards total$245?A)three$20 cards andtwelve$15 cardsB)eleven$20 cards andfour$15 cardsC)four$20 cards andeleven$15 cardsD)seven$20 cards andseven$15 cardsAnswer:C34)Aperson'smonthly budget includes$236for food,$165for gasoline, and$170for utilities.If theperson earns$2,406per month, how much money is left for other expenses?A)$2,005B)$918C)$1,835D)$2,071Answer:C35)A recipe calls for 3 cups of flour. If the baker wants to make half a recipe, how much flour shouldbe used?A)23cupB)6 cupsC)5 cupsD)112cupsAnswer:D36)A car travels348miles on5.6gallons of gasoline. How many miles per gallon did the car get?(Round to the nearest tenth.)A)56.6miles per gallonB)64.5miles per gallonC)16.1miles per gallonD)62.1miles per gallonAnswer:D8

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.1)State whether the collection iswell-definedor notwell-defined.{5, . . . }A)Well-definedB)Not well-definedAnswer:B2)Letǹ= {6, 7, 8, 9, 10}.State whether the following statement true or false:8'ǹA)TrueB)FalseAnswer:B3)Write the set using roster notation:The set of even natural numbers less than 10.A){xx%ȃandx< 10}B){xx%Ǽandx< 10}C){2, 4, 6, 8, 10}D){2, 4, 6, 8}Answer:D4)Write the set using roster notation:{xx%ȃandx>24}A){25,26,27,28, . . .}B){xxis a natural number less than24}C){xxis a natural number greater than24}D){24,25,26,27, . . .}Answer:A5)Write the set using the descriptive method:{9,18,27,36,45}A){xxis a natural number between9and45}B)The set natural numbers between9and45.C){xxis a multiple of9less than46}D)The set of the first five positive multiples of9.Answer:DSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.6)Write the set using the descriptive method:{25,26,27, . . . ,45}Answer:The set of natural numbers from25to45, inclusive.MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.7)Write the set usingset-buildernotation:The set of natural numbers greater than 11.A){12, 13, 14, 15, . . .}B){xx%ȃandx> 11}C){11, 12, 13, 14, . . .}D){xx> 11}Answer:B1

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8)Write the set usingset-buildernotation:{1, 3, 5, . . . ,27}A){xx%ȃandx<28}B){xx%ȅandx<27}C){xxis an odd natural number less than27}D){xxis an odd natural number less than28}Answer:DSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.9)List the elements in the set: {7,10,13, . . . ,31}.Answer:{7,10,13,16,19,22,25,28,31}MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.10)The graph below displays the median housing prices for all houses sold in Anywhere, US between 2003 and2008.Median Home Prices in AnywhereList the set of years in which the median price was above$150,000.A)(2005, 2006, 2007, 2008}B)(2003, 2004}C)(2005, 2006, 2007}D)(2003, 2004, 2008}Answer:C11)Which statement is true?A){9,3,0}{3,0,9}B)n(+) = 0C)+ ^+`D)All equivalent sets are equal.Answer:B2

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12)State whether the following set is empty.{x|xis a natural number divisible by 7}A)YesB)NoAnswer:B13)Find the cardinal number for the set.ǹ= {3,6,9, . . . ,33}A)The set is infinite.B)n(ǹ) =33C)n(ǹ) =11D)n(ǹ) = 4Answer:C14)Find the cardinal number for the set.Ǻ= {eight}A)n(Ǻ) =8B)n(Ǻ) =5C)n(Ǻ) = 0D)n(Ǻ) = 1Answer:D15)Which set is finite?A){xx%ȃandxis odd}B){2, 4, 6, 8, 10, 12, . . .}C){xx%ȃandx> 100}D){xx%ȃandx< 100}Answer:D16)Which set is infinite?A){xxis an improper fraction}B){xx%ȃandx< 20}C)+D){3, 5, 7, . . ., 99}Answer:A17)Classify each pair of sets as equal, equivalent, or neither.{a, b, c, d, e} and {5, 4, 3, 2, 1}A)equivalentB)neitherC)equal and equivalentAnswer:A18)Classify each pair of sets as equal, equivalent, or neither.{1, 3, 5} and {2, 4, 6, 8}A)neitherB)equivalentC)equal and equivalentAnswer:A19)Classify each pair of sets as equal, equivalent, or neither.{1, 2, 3, . . ., 10} and {10, 9, 8, . . ., 1}A)equal and equivalentB)neitherC)equivalentAnswer:A3

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20)Show that the pair of sets is equivalent by using aone-to-onecorrespondence.{xxis an odd natural number between8and20} and{xxis an even natural number between13and25}A){9,10,11,12,13,14,15,16,17,18,19}ĽĽĽĽĽĽĽĽĽĽĽ{14,15,16,17,18,19,20,21,22,23,24}B){9,11,13,15,17,19}ĽĽĽĽĽĽ{14,16,18,20,22,24}C){8,9,10,11,12,13,14,15,16,17,18,19,20}ĽĽĽĽĽĽĽĽĽĽĽĽĽ{13,14,15,16,17,18,19,20,21,22,23,24,25}D){8,10,12,14,16,18,20}ĽĽĽĽĽĽĽ{13,15,17,19,20,22,23}Answer:B21)LetU= {8,16,24,32,40,48,56,64} andA= {24,32,40,56}.A'A)A'= {8,16,64}B)A'=+C)A'= {8,16,48,64}D)A'= {0}Answer:C22)ƍUse the Venn diagram and findB.A)ƍB= {p, q, r, s, t}B)ƍB= {p, q, r, s, t, w, x}C)ƍB= {p, q, r, w, x}D)ƍB= {p, q, r}Answer:C4

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23)LetU= {5, 10, 15, 20, 25, 30, 35, 40}A= {5, 10, 15, 20}B= {25, 30, 35, 40}C= {10, 20, 30, 40}.FindC'.A)C'= {5, 15, 25, 35}B)C'= {5, 10, 15, 20, 25, 30, 35, 40}C)C'= {10, 20, 30, 40}D)C'=+Answer:ASHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.24)Find all subsets of the set. {2,4,9}.Answer:+; {2}; {4}; {9}; {2,4}; {2,9}; {4,9}; {2,4,9}MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.25)Find all proper subsets of the set. {c,f,x}A)+; {c}; {f}; {x}; {c,f}; {c,x}; {f,x}B)+; {c,f}; {c,x}; {f,x}; {c,f,x}C)+; {c,f}; {c,x}; {f,x}D)+; {c}; {f}; {x}; {c,f}; {c,x}; {f,x}; {c,f,x}Answer:A26)True or False? {4}5{2, 4, 6, 8, 10}A)FalseB)TrueAnswer:B27)True or False? {4}%{2, 4, 6, 8, 10, . . . }A)FalseB)TrueAnswer:A28)Which statement is false?A)+5{a, b, c}B)+2{a, b, c}C)a%{a, b, c}D)+%{a, b, c}Answer:D29)Find the number of subsets the set has. {1, 2, 3, 4, 5}A)16B)31C)5D)32Answer:D30)Find the number of proper subsets the set has. {m, n, p}A)8B)3C)7D)6Answer:C5

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31)Since the student union is being remodeled, there is a limited choice of foods and drinks a studentcan buy for a snack between classes. Students can choose none, some, or all of these items:diet soft drink, cheeseburger, fries. How many different selections can be made?A)9B)3C)7D)8Answer:D32)Use the Venn diagram and findAŀǺ.A)AŀB= {q, r, s, v, w}B)AŀB= {q, r, s, v, w, x, y}C)AŀB= {q, r, s, t, u, v, w}D)AŀB= {t, u}Answer:D33)LetU= {5, 10, 15, 20, 25, 30, 35, 40}A= {5, 10, 15, 20}V= {25, 30, 35, 40}C= {10, 20, 30, 40}.FindA1C.A)A1C ={5, 10, 15, 20, 30, 40}B)A1C =+C)A1C= {10, 20}D)A1C ={5, 15, 30, 40}Answer:A34)LetU= {5, 10, 15, 20, 25, 30, 35, 40}A= {5, 10, 15, 20}B= {25, 30, 35, 40}C= {10, 20, 30, 40}.FindAŀB.A)AŀB={10, 15}B)AŀB={5, 10, 35, 40}C)AŀB={5, 10, 15, 20, 25, 30, 35, 40}D)AŀB=+Answer:D6

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35)ƍLetU= {5, 10, 15, 20, 25, 30, 35, 40}A= {5, 10, 15, 20}B= {25, 30, 35, 40}C= {10, 20, 30, 40}.FindA'ŀ(B1C').A)A'ŀ(B'1C') = 5, 10, 15, 20, 25, 30, 35, 40}B)A'ŀ(B'1C') =+C)A'ŀ(B'1C') = {10, 20, 25, 30, 35, 40}D)A'ŀ(B'1C') = {25, 35}Answer:D36)LetU= {5, 10, 15, 20, 25, 30, 35, 40}A= {5, 10, 15, 20}B= {25, 30, 35, 40}C= {10, 20, 30, 40}.FindBŀC'.A)BŀC'= {5, 15}B)BŀC'= {30, 40}C)BŀC'=+D)BŀC'= {25, 35}Answer:D37)LetU= {5, 10, 15, 20, 25, 30, 35, 40}A= {5, 10, 15, 20}B= {25, 30, 35, 40}C= {10, 20, 30, 40}.FindAŀC.A)AŀC ={5, 15, 30, 40}B)AŀC =+C)AŀC ={10, 20}D)AŀC ={5, 10, 15, 20, 30, 40}Answer:C38)LetU= {5, 10, 15, 20, 25, 30, 35, 40}A= {5, 10, 15, 20}B= {25, 30, 35, 40}C= {10, 20, 30, 40}.FindA'1C'A)A'1C'=+B)A'1C'= {25, 35}C)A'1C'= {5, 10, 15, 20, 25, 30, 35, 40}D)A'1C'= {5, 15, 25, 30, 35, 40}Answer:D7

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39)LetU= {4,5,6,7,8,9,10,11,12,13,14}X= {4,6,8,10,12,14}Y= {4,5,6,7,8,9}Z= {5,7,8,9,12,13,14}.Find (XŀY)ŀZ.A)(XŀY)ŀZ= {8}B)(XŀY)ŀZ ={4,5,6,7,8,9,10,11,12,13,14}C)(XŀY)ŀZ ={4,5,6,7,8,9,10,12,13,14}D)(XŀY)ŀZ =+Answer:A40)LetU= {1, 2, 3, . . . }A= {4,8,12,16, . . . }B= {12,24,36,48, . . . }.FindA1B.A)A1B =ǹB)A1B = UC)A1B =+D)A1B = BAnswer:A41)LetU= {n,p,q,r,s,t,u,v}A= {n,p,q,r}B= {n,q,s,u}.FindB-A.A)B-A ={s,u}B)B-A =+C)B-A ={n,p,q,r,s,u}D)B-A ={s,t,u,v}Answer:A8

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42)ƍDraw a Venn diagram and shade the sections representingǹ1Ǻ.A)B)C)D)Answer:D43)Draw a Venn diagram and shade the sections representing (ǹ1Ǻ)'.A)B)C)D)Answer:C9

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44)Draw a Venn diagram and shade the sections representingǹŀB'.A)B)C)D)Answer:A45)A= {people who drive acompact car}andB= {people who drive adieselvehicle}. Draw a Venndiagram ofAŀBand write a sentence describing what the set represents.A)People who drive acompact caror adieselvehicle10

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B)People who drive adieselvehicle, but not acompact car.C)People who drive adieselcompact car.D)People who drive acompact car,but not adieselvehicle.Answer:C11

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46)Draw a Venn diagram and shade the sections representingAŀ(B1C)A)B)C)D)Answer:DSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.47)Draw a Venn diagram and shade the sections representingǹŀ(ǺŀC)'Answer:12

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.48)Draw a Venn diagram and shade the sections representing(B1A)1A'.A)B)C)D)Answer:B49)X= {studentsrunning cross country},Y= {studentsswimming}, andZ= {studentsrunning track}.Draw a Venn diagram ofZ- (X1Y), and write a sentence describing what the set represents.A)Studentsrunning trackbut notrunning cross countryorswimming.13

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B)Students notrunning cross countryand notswimming.C)Studentsrunning trackbut not playing all three sports.D)Studentsrunning cross country,swimmingandrunning track, orrunning trackonly.Answer:A14

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50)The table shows the students from Genius High School with the four highestGPAsfrom 2005 to2007. Write theregion(s)of the Venn diagram that would includeHarry. (Note setXrepresents2005top-rankedstudents, setYrepresents 2006top-rankedstudents, and setZrepresents 2007top-rankedstudents.)Year200520062007StudentsLauraCarolsLauraKellynStefanSashaHenryHarryHenryHarryGeorgHarryA)RegionIIB)RegionVIC)RegionIVD)RegionVAnswer:D51)Determine whether the two sets are equal.(D1E)'andD'1E'A)not equalB)equalAnswer:A52)ƍƍƍIfU= {Bob,Ann,Mae,Eve,Dan,Kim,Tal,Vic},A= {Ann,Eve,Dan,Kim}, andB= {Bob,Ann,Mae,Eve}find(A1B)andAŀB.A)Both are {Ann,Eve}B)Both are+C)Both are {Tal,Vic}D)Both are {Bob,Ann,Mae,Eve,Dan,Kim}Answer:C15

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53)ƍƍƍIfU= {Bob,Ann,Mae,Eve,Dan,Pat,Tal,Liz},A= {Ann,Eve,Dan,Pat}, andB= {Bob,Ann,Mae,Eve}find(AŀB)andA1B.A)Both are {Bob,Mae,Eve,Dan,Pat}B)Both are+C)Both are {Ann,Eve}D)Both are {Tal,Liz}Answer:ASHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.54)Determine whether the two sets are equal.(A1B')ŀCand (AŀC)1(B'ŀC)Answer:equal55)ƍDetermine whether the two sets are equal.A1(BŀC)'andAŀ(B1C')Answer:not equalMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.56)Use the Venn diagram and findn(A1B).A)n(A1B) = 2B)n(A1B) = 9C)n(A1B) = 7D)n(A1B) = 5Answer:C57)LetU= {xxis a natural number <15}A= {xxis an odd natural number}B= {xxis a prime number}.Findn(A1B). Note: prime numbers are 2, 3, 5, 7 ,11, 13, 17, 19.A)n(A1B) =12B)n(A1B) =7C)n(A1B) =8D)n(A1B) =2Answer:C16

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58)In a survey of18college students, it was found that11were taking an English class,6were taking amath class, and4were taking both English and math. How many students were taking a math classonly?A)11B)2C)7D)5Answer:B59)In a survey of29instructors, it was found that22liked whiteboards,11liked blackboards, and7liked both. How many instructors did not like whiteboards?A)14B)7C)3D)4Answer:B60)In a group of53children,22had a dog,18had a cat, and6had both a dog and a cat. How manychildren had neither a dog nor a cat as a pet?A)31B)37C)12D)19Answer:D61)One weekend, there were98pizzas ordered for the sophomore dorm. That weekend19customersordered their pizza with just pepperoni,16customers ordered their pizza with just sausage,20ordered theirs with just onions,15ordered theirs with pepperoni and sausage,9ordered theirs withsausage and onions,17ordered theirs with pepperoni and onions, and2ordered theirs with all threeitems. How many customers ordered their pizza with pepperoni or sausage (or both)?A)72B)35C)50D)13Answer:A62)One weekend, there were61pizzas ordered for the sophomore dorm. That weekend12customersordered their pizza with just pepperoni,18customers ordered their pizza with just sausage,13ordered theirs with just onions,6ordered theirs with pepperoni and sausage,5ordered theirs withsausage and onions,4ordered theirs with pepperoni and onions, and2ordered theirs with all threeitems. The remaining pizzas were cheese pizzas with no toppings. How many customers ordered atmost two toppings on their pizza?A)58B)15C)16D)59Answer:D63)Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 containedall three items. How many backpacks contained none of the three writing instruments?A)2B)15C)11D)3Answer:A17

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64)Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 containedall three items. How many backpacks contained exactly one of the three writing instruments?A)3B)11C)2D)15Answer:B65)Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 containedall three items. How many backpacks contained exactly two of the three writing instruments?A)11B)2C)15D)3Answer:C66)Which set is finite?A){2, 4, 6, 8, 10, 12, . . .}B){xx%ȃandx< 100}C){xx%ȃandxis odd}D){xx%ȃandx> 100}Answer:B67)Which set is infinite?A)+B){xxis an improper fraction}C){3, 5, 7, . . ., 99}D){xx%ȃandx< 20}Answer:BSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.68)Show that the set is an infinite set. {6,12,18,24,30, . . .}Answer:{6,12,18,24,30,...,6n,...}ĽĽĽĽĽĽ{12,24,36,48,60,...,12n,...}69)Show that the set is an infinite set. {0,4,8,12,16, . . .}Answer:{0,4,8,12,16,...,4n- 4,...}ĽĽĽĽĽĽ{4,12,20,28,36,...,8n- 4,...}18

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70)Show that the set is an infinite set.21,22,23,24,25, ...Answer:21,22,23,...,2n,...ĽĽĽĽ22,23,24,...,2n+ 1,...71)Show that the set is an infinite set.110,1100,11,000,110,000, ...Answer:110,1100,...,110n,...ĽĽĽ1100,110,000,...,1102n,...MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.72)Find the general term of the set. {-10,-20,-30,-40,-50, . . .}A)-11n+ 1B)-9n– 1C)-10nD)n- 11Answer:CSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.73)Find the general term of the set.114,115,116,117,118, ...Answer:1n+1374)The general term of the set146,246,346,446,546, ...is.Answer:n4619

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.75)Find the general term of the set. {9,12,15,18,21, . . .}A)2n+ 7B)9nC)4n+ 5D)3n+ 6Answer:DESSAY. Write your answer in the space provided or on a separate sheet of paper.76)Show that the set of positive rational numbers with denominators 3 or 5 is a countable set. (Rationalnumbers are fractions with integers in the numerator and denominator.)Answer:One possibility:123456 ...ĽĽĽĽĽĽ131523253335...nĺn+ 16ifnis oddn6ifnis even77)Show that the given set is countable. {3,6,9,12,15, ...}Answer:The set is countable because it can be put into one-to-one correspondence with the set of naturalnumbers.12345,...,n, ...ĽĽĽĽĽĽ36912153n, ...20

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.1)Which sentence is not a statement?A)Ron got an A on the test.B)Stop that.C)2 + 5 = 3D)Mia lives in Los Angeles.Answer:B2)Determine whether each sentence is a statement or not.i.He has blond hair.ii.He is not home.iii.The sky is brown.iv.Are you going to try again?A)Yes,No,No,NoB)No,Yes,No,NoC)No,No,Yes,NoD)Yes,Yes,Yes,NoAnswer:DSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.3)Is the following sentence a statement?Neither Ben nor Alonzo is going camping.Answer:Yes.4)State whether the sentence is a statement or not.Close the door.Answer:Not a statementMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.5)Classify each statement as simple or compound.i.Jeff's brother is two years old.ii.I am going to get a dog or a cat.iii.4 + 1 = 4iv.2 × 0 = 0A)Compound,Compound,Simple,CompoundB)Simple,Compound,Simple,SimpleC)Simple,Simple,Simple,SimpleD)Compound,Compound,Compound,CompoundAnswer:BSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.6)Decide if the statement is simple or compound.I will go with you if and only if we are on time.Answer:Compound1

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.7)Which of the following is a simple statement?A)My dad is a plumber and an electrician.B)If he does his chores, he gets his allowance.C)3 + 3 = 5D)Neither food nor drink is allowed in that theater.Answer:CSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.8)Decide whether each statement is simple or compound.i. If you win the next round, you will be a finalist.ii. She is not feeling well.iii. 7 + 2 = 14iv. He is taking history and economics.Answer:Compound, Compound, Simple, CompoundMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.9)Identify the statement as a conjunction, disjunction, conditional, or biconditional.Rory will go to Yale, or she will go to Harvard.A)ConditionalB)BiconditionalC)DisjunctionD)ConjunctionAnswer:C10)Identify the statement as a conjunction, disjunction, conditional, or biconditional.If Raffi misses the goal, then we will lose the game.A)ConjunctionB)ConditionalC)DisjunctionD)BiconditionalAnswer:B11)Identify the quantifier in the statement as either universal or existential.There is a hair in my soup.A)UniversalB)ExistentialAnswer:BSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.12)Write the negation of the statement.The dogisspotted.Answer:The dogis notspotted.2

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