Test Bank for College Algebra, 13th Edition

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TESTINGMANUALDAVIDATWOODRochester Community and Technical CollegeCOLLEGEALGEBRATHIRTEENTHEDITIONMargaret L. LialAmerican River CollegeJohn HornsbyUniversity of New OrleansDavid I. SchneiderUniversity of MarylandCallie J. DanielsSt. Charles Community College

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CONTENTSCHAPTER TEST FORMS1ANSWERS TO CHAPTER TEST FORMS191DIAGNOSTIC PRETESTS AND ANSWERS235FINAL EXAMS AND ANSWERS245

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1CHAPTER R, FORM ACOLLEGE ALGEBRANAMEDATE1.Let54169.6,, 6, 0,13, 2.15,,49 .75Aπìüïïïï=-íýïïïïîþList the elements ofAthat belong to the given set.a.Natural numbers1.a. ____________b.Rational numbersb. ____________c.Irrational numbersc. ____________2.Evaluate the expression if2x= -,4y= -, and1z=:2.______________()2223yxyz--3.Identify the property illustrated. Leta,b, andcrepresent anyreal numbers.a.()ab cacbc+=+3.a. ____________b.()0abbaéù++ -=+ëûb. ____________c.123123234234æöæö÷÷çç=÷÷çç÷÷ççèøèø⋅⋅⋅⋅c. ____________d.11(3)(3)22pp+=+⋅d. ____________Perform the indicated operations.4.()232abéù+-ëû4.______________5.()()()2323252723xxxxxx---+-+-5.______________6.()()2223xxx-+-6.______________7.()()77xyxyéù éù---+ëû ëû7.______________8.()325x+8.______________9.43223514102yyyyy--+-9.______________10.222913xxxxxx----⋅10.______________11.23314416xxxxxx+---+-11.______________

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2CHAPTER R, FORM A12.34497557abababba+----12.______________13.1111xyxy+13.______________14.()22 343 25⋅−−+14.______________Factor completely.15.32324832x yxy-+-15.______________16.33864ab+16.______________17.43261135xxx--17.______________18.22849xx+-18.______________19.Evaluate2 312527-æö÷ç÷ç÷çèø.19.______________20.Simplify62 33 41 21 41 6xyzxz----æö÷ç÷ç÷ç÷çèøso that there are no20.______________negative exponents. Assume that all variablesrepresent positive real numbers.Simplify. Assume that all variables represent positive real numbers.21.53438xy z21.______________22.31124 175xxx+22.______________23.()()3334254+-23.______________24.Rationalize the denominator of12527-and simplify.24.______________25.Write the fraction45as a decimal and a percent.25.______________

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3CHAPTER R, FORM A26.The wind chill factorwis given by the equation26.______________0.160.1635.740.621535.750.4275wTVTV=+-+whereTrepresents the temperature in degrees FahrenheitandVrepresents the wind velocity. Find the wind chill factorwhen the temperature is –40°F and the wind velocity is15 mph. (Round to the nearest tenth.)

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4CHAPTER R, FORM BCOLLEGE ALGEBRANAMEDATE1.Let21217,, 0,,,3,4.2,2553Aπìüïïïï=---íýïïïïîþList the elements ofAthat belong to the given set.a.Natural numbers1.a.____________b.Integersb.____________c.Irrational numbersc.____________2.Evaluate the expression if1x=,2y= -, and3z=:2.______________24 232xyyz-+-3.Identify the property illustrated. Leta,b, andcrepresentany real numbers.a.11112222bbéùæöæö÷÷ççêú+ -+=+ -+÷÷çç÷÷ççêúèøèøëû3.a.____________b.()()ab cc ab+=+b.____________c.202aa+=c.____________d.34143=⋅d.____________Perform the indicated operations.4.()231xyéù--ëû4.______________5.()()2222xyxy+-5.______________6.22(1)(2)(22)x xxxxx--+--6.______________7.()()33xyxyéù éù-+--ëû ëû7.______________8.()323xy-8.______________9.4326751132xxxxx-+--9.______________10.222237223xxxxxxxx++-++⋅10.____________11.2221255xxxxx+--+11.____________

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5CHAPTER R, FORM B12.9213773xxx+--12.____________13.221321xxxxxx-+-++-13.____________14.()3782321−−⋅+14.______________Factor completely.15.285321xx--15.____________16.32332727xxx+--16.____________17.33331616xyx yyy--+17.____________18.32123ababc-18.____________19.Evaluate2 32764-æö÷ç-÷ç÷çèø.19.____________20.Simplify102 33 41 51/ 21/ 4abcab--æö÷ç÷ç÷ç÷çèøso that there are no20.____________negative exponents. Assume that all variablesrepresent positive real numbers.Simplify. Assume that all variables represent positive real numbers.21.1671075xy z21.____________22.22455486xxx-+22.____________23.()()333425235+-23.____________24.Rationalize the denominator of3311216+and simplify.24.____________25.Write the fraction315 as a decimal and a percent.25.______________

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6CHAPTER R, FORM B26.Police sometimes use the following procedure to26.____________estimate the speed at which a car was traveling atthe time of an accident: A police officer drives acar that is the same type as the one involved in theaccident under conditions similar to those duringwhich the accident took place and then skids to astop. If the car is driven at 30 mph, then the speedat the time of the accident is given by30,asp=whereais the length of the skid marks left at thetime of the accident andpis the length of the skidmarks in the police test. Finds, the speed, whenais 325 ft andpis 102 ft. (Round to the nearesttenth.)

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7CHAPTER R, FORM CCOLLEGE ALGEBRANAMEDATE1.Let701,,2, 0,64,19, 1.23,4, 2.76 .108Aπìüïïïï=---íýïïïïîþList the elements ofAthat belong to the given set.a.Rational numbers1.a. ____________b.Real numbersb. ____________c.Whole numbersc. ____________2.Evaluate the expression if2x= -,1y= -, and3z=:2.______________()232xyx yz-++3.Identify the property illustrated. Leta,b, andcrepresentany real numbers.a.()()1133abba+=+3.a. ____________b.11022æö÷ç+ -=÷ç÷çèøb. ____________c.()999abab+=+c. ____________d.()()2 92 9aa=⋅d. ____________Perform the indicated operations.4.()242xyéù-+ëû4.______________5.3233()2()3(2 )xxxxxx--+++-5.______________6.22(32 )(234)xyxxyy+-+6.______________7.()()5252ababéù éù+-++ëû ëû7.______________8.()343bc-8.______________9.53232392xxxx--+-9.______________10.2226562324xxxxx---¸+-10.______________11.2222025516xxxxx+--⋅--11.______________

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8CHAPTER R, FORM C12.34107557abababba+-+--12.______________13.22141xx--13.______________14.()232 34132+−−14.______________Factor completely.15.2210196xxyy-+15.______________16.416x-16.______________17.3223248aa babb+--17.______________18.422218xx y-18.______________19.Evaluate4 32764-æö÷ç÷ç÷çèø.19.______________20.Simplify123 81 65 42 33 4ababc-----æö÷ç÷ç÷ç÷çèøso that there are no20.______________negative exponents. Assume that all variablesrepresent positive real numbers.Simplify. Assume that all variables represent positive real numbers.21.51380a b21.______________22.4433316254xyyxyxy+-22.______________23.()()3232xyxy+-23.______________24.Rationalize the denominator of1237+and simplify.24.______________25.Write the fraction 125as a decimal and a percent.25.______________

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9CHAPTER R, FORM C26.Police sometimes use the following procedure to26.______________estimate the speed at which a car was traveling atthe time of an accident: A police officer drives acar that is the same type as the one involved in theaccident under conditions similar to those duringwhich the accident took place and then skids to astop. If the car is driven at 30 mph, then the speedat the time of the accident is given by30,asp=whereais the length of the skid marks left at thetime of the accident andpis the length of the skidmarks in the police test. Finds, the speed, whenais 375 ft andpis 185 ft. (Round to the nearesttenth).

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10CHAPTER R, FORM DCOLLEGE ALGEBRANAMEDATE1.Let1055,17.8,3.6, 0,,49, 3,, 8 .23Aπìüïïïï=---íýïïïïîþList the elements ofAthat belong to the given set.a.Natural numbers1.a. ____________b.Rational numbersb. ____________c.Integersc. ____________2.Evaluate the expression if3x= -,4y= -, and1z=:2.______________()2252xzxy+-3.Identify the property illustrated. Leta,bandcrepresent any real numbers.a.()()a bcbc a+=+3.a. ____________b.21217575bbæöæö÷÷çç=÷÷çç÷÷ççèøèø⋅⋅b. ____________c.11144=⋅c. ____________d.()()444aaaaéù+ -=+-ëûd. ____________Perform the indicated operations.4.()2232xyéù--ëû4.______________5.()()222312xxxx-++-5.______________6.()()32432347235xxxxxx-+-+-++6.______________7.()()2424rsrséù éù+-++ëû ëû7.______________8.()32ab+8.______________9.4322221163yyyyy--+-9.______________10.22223101537434xxxxxxx+-+¸-+--10.______________11.22411016514xxxxxx-+--++-11.______________

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11CHAPTER R, FORM D12.2232544xxxx+++--12.______________13.1324xxx-+-13.______________14.43 7124 5+⋅−−⋅14.______________Factor completely.15.218274xx-+15.______________16.4261110xx+-16.______________17.43348216rrsr ss--+17.______________18.33864xy+18.______________19.Evaluate3 21649-æö÷ç÷ç÷çèø.19.______________20.Simplify63 24 35 62 35 41 4xyzxyz--æö÷ç÷ç÷ç÷çèøso that there are20.______________no negative exponents. Assume that all variablesrepresent positive real numbers.Simplify. Assume that all variables represent positive real numbers.21.1418584ab c21.______________22.445576848xx+22.______________23.()()1026106+-23.______________24.Rationalize the denominator of11327-and simplify.24.______________25.Write the fraction38−as a decimal and a percent.25.______________

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12CHAPTER R, FORM D26.The length of one leg of a right triangle is26.______________22acb=-wherecis the length of the hypotenuse andbisthe length of the other leg. Find the length of theunknown leg if the length of the hypotenuse is45 m and the length of the other leg is 28 m.(Round to the nearest tenth.)

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13CHAPTER R, FORM ECOLLEGE ALGEBRANAMEDATE1.Let512,3.2,,4,64,3,, 0882Aπìüïïïï=--íýïïïïîþ.List the elements ofAthat belong to the given set.A.Rational numbers1.A. ____________a.512,3.2,4,64,82ìüïïïï--íýïïïïîþb.124,64,, 02ìüïïïï-íýïïïïîþc.512,4,64,, 082ìüïïïï-íýïïïïîþd.512,3.2,4,64,, 082ìüïïïï--íýïïïïîþB.Real numbersB. ____________a.,38πìüïïïïíýïïïïîþb.124,64,, 02ìüïïïï-íýïïïïîþc.512,3.2,,4,64,3,, 0882πìüïïïï--íýïïïïîþd.3.2,,38πìüïïïï-íýïïïïîþC.Natural numbersC. ____________a.512,3.2,4,64,, 082ìüïïïï--íýïïïïîþb.124,64,, 02ìüïïïï-íýïïïïîþc.1264,, 02ìüïïïïíýïïïïîþd.1264, 2ìüïïïïíýïïïïîþ2.Evaluate the expression if5x= -and2y= -:2._____________4234xyyx----a.523b.526c.514d.12

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