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Test Bank For Essentials of College Algebra, 12th Edition - Document preview page 1

Test Bank For Essentials of College Algebra, 12th Edition - Page 1

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Test Bank For Essentials of College Algebra, 12th Edition

Tackle your exam with confidence using Test Bank For Essentials of College Algebra, 12th Edition, filled with the most relevant questions and answers.

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Test Bank For Essentials of College Algebra, 12th Edition - Page 1 preview imageCONTENTSCHAPTER TEST FORMS1ANSWERS TO CHAPTER TEST FORMS191DIAGNOSTIC PRETESTS AND ANSWERS234FINAL EXAMS AND ANSWERS244
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Test Bank For Essentials of College Algebra, 12th Edition - Page 2 preview image
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Test Bank For Essentials of College Algebra, 12th Edition - Page 3 preview imageMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Use set notation, and list all the elements of the set.1){19,20,21, . . . ,25}A){19,20,22,24,25}B){19,21,23,25}C){19,20,21,22,23,24,25}D){19,20,21,22,23,24,25,26}Answer:C2)1,13,19, . . . ,1243A)1,13,15,16,17,18B)1,13,19,127,1729,119,683C)1,13,19,127,1243D)1,13,19,127,181,1243Answer:D3){15,22,29, . . .,64}A){15,22,29,36,43,50,57,64}B){15,22,28,35,42,49,56,63}C){15,22,29,37,44,51,58,65}D){15,22,29,36,43}Answer:A4){82,77,72, . . .,32}A){82,77,72,67,62,57,52,47,42,37,32}B){82,77,72,66,61,56,51,46,41,36,31}C){82,77,72,62,52,42,32}D){82,87,92,97,102,107,112,117,122,127,132}Answer:A5)The firstfournatural numbers.A){0, 2, 4, 6}B){1, 2, 3, 4}C){0, 1, 2, 3}D){0, 1, 2, 3, 4}Answer:B6)The natural numbers between 3 and5.A){3,5}B){4}C){3, 4, 5}D){0, 1, 2, 3}Answer:BIdentify the set as finite or infinite.7){6,7,8, . . .,11}A)finiteB)infiniteAnswer:A8){3,5,7, . . .}A)finiteB)infiniteAnswer:B9)1,13,19,127, . . .,A)infiniteB)finiteAnswer:A1
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Test Bank For Essentials of College Algebra, 12th Edition - Page 4 preview image10){x|x is a natural number larger than1}A)infiniteB)finiteAnswer:A11){x|x is a fraction between 0 and 1}A)finiteB)infiniteAnswer:B12){x|x is anevennatural number}A)finiteB)infiniteAnswer:B13){x|x isa personalive now}A)infiniteB)finiteAnswer:BInsert%or'in the blank to make the statement is true.14)10{7,8,9,10}A)'B)%Answer:B15)10{6,9,12,10,8}A)%B)'Answer:A16)-9{9,11,13,15}A)%B)'Answer:B17)0{7,9, 0,11,10}A)'B)%Answer:B18)0{4,5,6,7,8,9}A)'B)%Answer:A19){9}{9,10,11,12,13,14}A)%B)'Answer:B20){10}{8,10,12,14}A)%B)'Answer:B21){0}{0,4,5,6,7}A)%B)'Answer:B2
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Test Bank For Essentials of College Algebra, 12th Edition - Page 5 preview image22)4+A)%B)'Answer:B23)++A)'B)%Answer:ATell whether the statement is true or false.24)6%{4,54,6,7}A)TrueB)FalseAnswer:A25)7%{-3,8,9,12}A)TrueB)FalseAnswer:B26)11'{0,9,10,12,14}A)TrueB)FalseAnswer:A27){0,8,11,16}={11,8,16, 0}A)TrueB)FalseAnswer:A28){1,6,4,7}={4,1,6}A)TrueB)FalseAnswer:B29){x | x is a natural number greater than1}={1,2,3, . . .}A)TrueB)FalseAnswer:B30)Let A={9,10,11,12,13,14}, B={11,13,15}, C={9,10,12,14}, D={9,14}, andU={9,10,11,12,13,14,15}.A5UA)TrueB)FalseAnswer:A31)Let A={8,9,10,11,12,13}, B={10,12,14}, C={8,9,11,13}, D={8,13}, andU={8,9,10,11,12,13,14}.A5BA)TrueB)FalseAnswer:B32)Let A={2,3,4,5,6,7}, B={4,6,8}, C={2,3,5,7}, D={2,7}, andU={2,3,4,5,6,7,8}.C5AA)TrueB)FalseAnswer:A3
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Test Bank For Essentials of College Algebra, 12th Edition - Page 6 preview image33)Let A={6,7,8,9,10,11}, B={8,10,12}, C={6,7,9,11}, D={6,11}, andU={6,7,8,9,10,11,12}.+5DA)TrueB)FalseAnswer:A34)Let A={6,7,8,9,10,11}, B={8,10,12}, C={6,7,9,11}, D={6,11}, andU={6,7,8,9,10,11,12}.C5+A)TrueB)FalseAnswer:B35)Let A={2,3,4,5,6,7}, B={4,6,8}, C={2,3,5,7}, D={2,7}, andU={2,3,4,5,6,7,8}.{6,8}5BA)TrueB)FalseAnswer:A36)Let A={5,6,7,8,9,10}, B={7,9,11}, C={5,6,8,10}, D={5,10}, andU={5,6,7,8,9,10,11}.{0,6,10}5CA)TrueB)FalseAnswer:B37)Let A={7,8,9,10,11,12}, B={9,11,13}, C={7,8,10,12}, D={7,12}, andU={7,8,9,10,11,12,13}.B*CA)TrueB)FalseAnswer:A38)Let A={5,6,7,8,9,10}, B={7,9,11}, C={5,6,8,10}, D={5,10}, andU={5,6,7,8,9,10,11}.D*CA)TrueB)FalseAnswer:B39)Let A={1,2,3,4,5,6}, B={3,5,7}, C={1,2,4,6}, D={2,6}, andU={1,2,3,4,5,6,7}.U5CA)TrueB)FalseAnswer:BInsert5or*in the blank to make the statement true.40){9,10,11}{0,9,10,11,12,13}A)5B)*Answer:A41){8,12}{5,-6,10,-8,12,7}A)*B)5Answer:A4
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Test Bank For Essentials of College Algebra, 12th Edition - Page 7 preview image42){4,6,9,11}{4,4,6,7,8,9}A)5B)*Answer:B43){7,8,9,12}{7,11,9,10,8,12}A)*B)5Answer:B44){0,2,4,7}{2,4,7,8,9,10}A)*B)5Answer:A45)+{6,9,13, 0,10,14}A)5B)*Answer:A46){-13,8,-14, 0,12}+A)5B)*Answer:B47)++A)5B)*Answer:ATell whether the statement is true or false.48){10,13,14,16}.{13,14,17,18}={13,14}A)TrueB)FalseAnswer:A49){6,8,9,11}1{0,10,8,13,6}={6,8}A)TrueB)FalseAnswer:B50){5,7,8,10}.+={5,7,8,10}A)TrueB)FalseAnswer:B51){8,10,11,13}1+={8,10,11,13}A)TrueB)FalseAnswer:AUse these sets to find the following. Identify any disjoint sets.52)Let U={5,6,7,8,9,10,11,12,13,14,15}, M={5,7,9,11},N={6,8,10,12,14},Q={5,7,9,11,13,15},andR={5,6,7,8}.M.RA){5,6,7,8}B){5,7}C){5,6,7,8,9,11}D)+; M and R are disjoint sets.Answer:B5
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Test Bank For Essentials of College Algebra, 12th Edition - Page 8 preview image53)Let U={4,5,6,7,8,9,10,11,12,13,14}, M={4,6,8,10},N={5,7,9,11,13},Q={4,6,8,10,12,14},andR={4,5,6,7}.M1NA){5,6,7,8,9,10,11,12,13}B){4,5,6,7,8,9,13}C)+; M and N are disjoint sets.D){4,5,6,7,8,9,10,11,13}Answer:D54)Let U={2,3,4,5,6,7,8,9,10,11,12}, M={2,4,6,8},N={3,5,7,9,11},Q={2,4,6,8,10,12},andR={2,3,4,5}.M.NA){4,5,6,7,11}B)+; M and N are disjoint sets.C){3,4,5,6,7,8,9,10,11}D){2,3,4,5,6,7,8,9,11}Answer:B55)Let U={5,6,7,8,9,10,11,12,13,14,15}, M={5,7,9,11},N={6,8,10,12,14},Q={5,7,9,11,13,15},andR={5,6,7,8}.N'A){7,9,11,13,15}B)Q, or {5,7,9,11,13,15}C)M, or {5,7,9,11}D){6,8,10,12,14}Answer:B56)Let U={2,3,4,5,6,7,8,9,10,11,12}, M={2,4,6,8},N={3,5,7,9,11},Q={2,4,6,8,10,12},andR={2,3,4,5}.Q.R'A){5,6,7,8,9,10,11,12}B)+; Q and R' are disjoint sets.C){4,6,8,10,12}D){6,8,10,12}Answer:D57)Let U={3,4,5,6,7,8,9,10,11,12,13}, M={3,5,7,9},N={4,6,8,10,12},Q={3,5,7,9,11,13},andR={3,4,5,6}.+1NA)+; N and+are disjoint sets.B){5,7,9,11,13}C)N, or {4,6,8,10,12}; N and+are disjoint sets.D){3,4,5,6,7,8,9,10,11,12,13}Answer:C58)Let U={5,6,7,8,9,10,11,12,13,14,15}, M={5,7,9,11},N={6,8,10,12,14},Q={5,7,9,11,13,15},andR={5,6,7,8}.(N1R).QA){5,7}B)+; N and R are disjoint sets.C){7}D){5}Answer:A6
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Test Bank For Essentials of College Algebra, 12th Edition - Page 9 preview image59)Let U={3,4,5,6,7,8,9,10,11,12,13}, M={3,5,7,9},N={4,6,8,10,12},Q={3,5,7,9,11,13},andR={3,4,5,6}.Q'.(N'.U)A){4,6,8,10,12}B){3,5,7,9,11,13}C){4,5,6,7,8,9}D)+; Q' and (N'.U) are disjoint sets.Answer:D60)Let U={9,10,11,12,13,14,15,16,17,18,19}, M={9,11,13,15},N={10,12,14,16,18},Q={9,11,13,15,17,19},andR={9,10,11,12}.(R1N).M'A)M, or {9,11,13,15}B)+; M' and (R1N) are disjoint sets.C){9,10,12,14,16,18}D)N, or {10,12,14,16,18}Answer:D61)Let U={7,8,9,10,11,12,13,14,15,16,17}, M={7,9,11,13}, N={8,10,12,14,16},Q={7,9,11,13,15,17},andR={7,8,9,10}.(U1+).R'A)U, or {7,8,9,10,11,12,13,14,15,16,17}B)+; R' and (U1+) are disjoint sets.C)R, or {7,8,9,10}D){11,12,13,14,15,16,17}Answer:DList all the elements of set B that belong to the indicated set.62)B=14,7,-14, 0,01,25IntegersA)14, 0B)14,-14, 0C)14,-14, 0,01,25D)14, 0,25Answer:C63)B=11,5,-17, 0,04,16Whole numbersA)11,-17, 0B)11, 0,04,16C)11, 0D)11,-17, 0,16Answer:B64)B=14,8,-14, 0,04,4Natural numbersA)14, 0,4B)14, 0,04C)14,4D)14, 0Answer:C7
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Test Bank For Essentials of College Algebra, 12th Edition - Page 10 preview image65)B=5,7,-16, 0,08,9,-50,0.59Rational numbersA)5,-16, 0,08,9,0.59B)7,08,0.59C)7,9D)5, 0,9Answer:AEvaluate the expression.66)36A)729B)324C)72.9D)18Answer:A67)-36A)18B)729C)-729D)-18Answer:C68)(-4)3A)-64B)64C)144D)-12Answer:A69)-4·52A)-400B)400C)100D)-100Answer:D70)-5(-2)3A)40B)-1,000C)-40D)1,000Answer:A71)26+28·2+7A)89B)63C)486D)115Answer:A72)11+62-(-3)·7A)308B)26C)182D)68Answer:D73)81-8·3+4A)80B)61C)223D)511Answer:B74)92-22·4+224÷(-16)A)-997B)-19C)266D)-10Answer:D8
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Test Bank For Essentials of College Algebra, 12th Edition - Page 11 preview image75)(-2)3-(-2)2A)-12B)4C)12D)-4Answer:A76)(9+(-2))[7+(4+8)]A)89B)26C)133D)22Answer:C77)-8[-1+2(-9+3)]A)104B)44C)48D)-4Answer:A78)(9-82)(-8+81)A)-4895B)-47C)-55D)73Answer:C79)-38--14-32-78A)12B)-54C)-34D)0Answer:C80)-7·5+3-(-1+6)-7·8+2A)6170B)5954C)3754D)3770Answer:CEvaluate the expression for x=-2, y=3, and a=-4.81)-3x+7y+5aA)7B)-43C)-7D)23Answer:A82)-4a-6y-3xA)8B)19C)23D)4Answer:D83)(-5x-3y)(-8a)A)-32B)-288C)32D)140Answer:C84)9x2-4y-aA)26B)22C)25D)28Answer:D85)x3-7y+3aA)-28B)-37C)-41D)-25Answer:C9
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Test Bank For Essentials of College Algebra, 12th Edition - Page 12 preview image86)y+2xy-4aA)-119B)-123C)0D)-319Answer:A87)6y-a2x2+9yA)43B)52C)0D)2Answer:D88)-(x+5)2-2y-2-aA)152B)-152C)-32D)352Answer:B89)2x+2(3+a)2y-1A)19B)9C)-1D)33Answer:CIdentify the property illustrated by the statement. Assume all variables represent real numbers.90)6·1=6A)DistributiveB)InverseC)IdentityD)ClosureAnswer:C91)(2+3)+6=(3+2)+6A)AssociativeB)CommutativeC)DistributiveD)ClosureAnswer:B92)8+0=8A)IdentityB)InverseC)ClosureD)AssociativeAnswer:A93)3(x+8)=3x+24A)ClosureB)CommutativeC)DistributiveD)AssociativeAnswer:C94)4+(-4)=0A)InverseB)ClosureC)AssociativeD)IdentityAnswer:A10
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Test Bank For Essentials of College Algebra, 12th Edition - Page 13 preview image95)2+9=9+2A)IdentityB)CommutativeC)AssociativeD)InverseAnswer:B96)1(a+2)·(a+2)=1, if a+2J0A)InverseB)DistributiveC)ClosureD)IdentityAnswer:A97)(8·4)·6=8·(4·6)A)CommutativeB)AssociativeC)IdentityD)DistributiveAnswer:B98)6ǻΔ) is a real number.A)IdentityB)ClosureC)DistributiveD)AssociativeAnswer:BWrite the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero realnumbers.99)54(-8y)A)20yB)-10yC)10yD)-9yAnswer:B100)13y(-15)A)4yB)3yC)-5yD)5yAnswer:C101)54(16y-16x+20z)A)20y-20x-25zB)20y+20x+25zC)20y+20x-25zD)20y-20x+25zAnswer:D102)1510y+103x-20A)2y-23x-4B)2y+23x+4C)2y+23x-4D)2y-23x+4Answer:CUse the distributive property to rewrite a sum as a product or the product as a sum.103)-11y+3yA)8yB)-8yC)14yD)-14yAnswer:B104)2-10bA)2(1-5b)B)2(1-6b)C)12bD)-8bAnswer:A11
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Test Bank For Essentials of College Algebra, 12th Edition - Page 14 preview image105)-4(x+k)A)-4xkB)-4x+kC)-4x+4kD)-4x-4kAnswer:D106)-(-3-9b)A)3+9bB)-3+9bC)-3-9bD)3-9bAnswer:A107)-(-5y+8k)A)5y+8kB)-5y-8kC)5y-8kD)-5y+8kAnswer:CDecide whether the statement is true or false. If false, correct the statement so it is true.108)5-10=5-10A)TrueB)False;5-10=10-5Answer:B109)2-8=8-2A)TrueB)False;2-8=2-8Answer:A110)-12=-12A)TrueB)False;-12=-(-12)=12Answer:B111)-3=3A)TrueB)False;-3=-3=-3Answer:A112)(-4)3=-(4)3A)TrueB)False;(-4)3=43Answer:B113)-45=-45A)TrueB)False;-45=4-5Answer:A114)-5·10=-5·10A)TrueB)False;-5·10=-5·10Answer:AEvaluate the expression.115)-12A)0B)±12C)12D)-12Answer:C12
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Test Bank For Essentials of College Algebra, 12th Edition - Page 15 preview image116)23A)-23B)23C)±23D)0Answer:B117)-20A)±20B)-20C)0D)20Answer:B118)--2A)±2B)-2C)0D)2Answer:B119)-17A)0B)-17C)±17D)17Answer:B120)--83A)±83B)-83C)0D)83Answer:B121)-87A)0B)-87C)87D)±87Answer:C122)Let x=-19, y=-18. Evaluate |21x|.A)399B)-342C)-399D)342Answer:A123)Let x=-8, y=5. Evaluatex+y.A)13B)-13C)-3D)3Answer:D124)Let x=-8, y=4. Evaluatex+y.A)12B)-4C)-12D)4Answer:A125)Let x=18, y=-6. Evaluate |y-x|.A)-24B)-12C)12D)24Answer:D13
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Test Bank For Essentials of College Algebra, 12th Edition - Page 16 preview image126)Let x=2, y=5. Evaluate6x-7y.A)-47B)23C)47D)-23Answer:B127)Let x=-9, y=13. Evaluate |9y-2x|.A)-99B)-135C)135D)99Answer:C128)Let x=9, y=-2. Evaluate 4x+5y.A)26B)-26C)46D)-46Answer:C129)Let x=-18, y=12.Evaluate |4y-5x|-|4y|.A)90B)60C)84D)36Answer:A130)Let x=6and y=-3. Evaluate|x|x+|y|y.A)0B)2C)-1D)1Answer:A131)Let x=5, y=-1. Evaluate|x+2|-|2y||3y+5x|.A)922B)522C)528D)12Answer:BDetermine which property of absolute value justifies the statement.132)xL0A)Property 5: the triangle inequalityB)Property 1: the absolute value of a number is positive or 0.C)Property 1: the absolute value of a number is greater than 0.D)Property 1: the absolute value of a number is positive.Answer:B133)-x=xA)Property 2: the opposite of the absolute value of a number is equal to the absolute value of the number.B)Property 5: the triangle inequalityC)Property 2: the absolute value of a number and its opposite are equal.D)Property 1: the opposite of a number is equal to the absolute value of the number .Answer:C14
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