Test Bank for College Algebra, 6th Edition

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TESTINGMANUALREBECCAMULLERSoutheastern Louisiana UniversityCOLLEGEALGEBRASIXTHEDITIONMark DugopolskiSoutheastern Louisiana University

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ContentsChapter P TestsPage 1Chapter 1 TestsPage 13Chapter 2 TestsPage 25Chapter 3 TestsPage 37Chapter 4 TestsPage 49Chapter 5 TestsPage 61Chapter 6 TestsPage 73Chapter 7 TestsPage 87Chapter 8 TestsPage 99Test KeysPage 111

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Dugopolski's111College AlgebraChapter Test KeysCHAPTER PForm A:1.2.3.4.5.6,, 0, 1.2,, 56, 0, 52182$"'%&6.7.8.9.10."'$#$C,  %+,  %+ , *  '$$BCBÈÈ$11.12.13.14.&  "#3"  3 B B &B  #"!B (BC  "#C$###15.16.17.18.#B $B  $#&B ##B  $B  #B  #,  "ÐB  "ÑÐB  "ÑÐB  'ÑBÐB  #ÑB  #B+=##19.20.21.+"  &+"  &+$B  ##B  $#B  "#B  "##()()()()() ()22.23.24.$0()& ‚ "!&&T ÐBÑ œ B #B  $œ #B $B$#Form B:1.2.3.4.5.6.$,482È1*(%$7.8.9.10.11.12.0#+ , %%+ ,#+ #  $3!  !3$#%$È13.14.15. B *B %B"#B BC  C$B $B  #$####16.17.18.19.()()B %B  %B  ""B BB  $"  #B##B B  $B  #20.21.22.()()()()()#B  $B  #B  ## "  %B"  %B  "'B# ‚ "!#(23.24.1feet()!)T ÐBÑ œ B #B  "œ #B B#Form C:1.2.3.4.5.6. #ß !ßâ ('#&'""$&$$##2,1.999,, 0,,257.8.9.10.*B#C&#%+ ,&B# #B$$  ##ÈÈÈ$$#$11.12.13.14.#$"$"$$#%$#3 *  $3 B #B &B  "+ ,  $+ +, $,15.16.17.18.%B )B  &œ#B  $B  $B  #"B  "BB "B  "B()(+ 1)#19.20.21.()()&B  ##B  $# #B  $C#B  $CB  "B "ˆ‰ˆ‰ˆ‰ab###22.23.24.25.()40$&B  %#&B #!B  "'‚ ")(&T ÐBÑ œB &Bˆ‰###"#

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112Chapter P Test KeyForm D:1.2.3..† † †"1, 0.020020002, 0,, 6"!$$#%(È%5.6.7.8.9.4(B"&#'$##+ %+ ,  %,#BC#BÈ%10.11.12.13.(  #"! "  !3"  3$B B #B  #È%$14.15.16.17.18.%#""*$%B  "##BB #B B  "B  $ B  C19.20.21.()()()()()$B  &#B  $+  ,+ ,  $#BB  $###22.23.24.25.$ #  $B#  $B$ ‚ "!B #B()()$1300'#"$Form E:1.2.3.4.5.6.7.8.9.10.FFFFFFFTFF11.12.13.14.15.16.17.18.19.20.aaadaadcab21.22.23.24.25.26.27.28.29.30.cbadcbdcabForm F:1.2.3.4.5.6.7.8.9.10.TTFFFTTFTF11.12.13.14.15.16.17.18.19.20.ccdcdadcbb21.22.23.24.25.26.27.28.29.30.dcbdccbddc

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Dugopolski's1College AlgebraChapter P Test -- Form AName: ________________________Determine which elements of the set{6,,, 0, 0.121221222 . . . , 1.2,,, 5 }#È$"'%&1are members of the following sets.1.2.Rational numbers: ________________Integers: ________________Evaluate each expressionÞ3.4.5.6.2(25)+ | 47 |416#Î"Î%3 2# $Ð%  "ÑÐ#  "ÑÐ%Ð#ÑÑ$3. ________4. ________5. ________6._____________Simplify each expression. Assume that all variables represent positive real numbers.7.8.9.10.ÐB C ÑÐ+,  #+ ,ÑÐBCÑ$  #+ ,#(3923/2"Î###ÈÈÈ3#(B C%*7. ________8. ________9. ________10.________Perform the indicated operations and write the answer in the form, whereandare+  ,3+,real.11.12.ab$  #33 3#$#11.______________________12.______________________Perform the indicated operations and simplify the results.13.(3)(+)B&B  #BB "$$#13. ________________14.(23 )(5+ 4 )B CBC14. ________________

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2Form PA15.(2+3)(1)BBƒB $#15. ________________16.%BB  $B "B &B  '##+16. ________________17.B #BB &B  'B BB %B  $##$##ƒ17. ________________18.,  ,+  +,""18. ________________Factor completely:19.20.21.656842+ 1+  #&+BB BBB#%#$#19.________________20.________________21._____________22.Perform the indicated operations. Write the answer in scientific notation.#ß!!!ß!!!‚!Þ!!!!"&!Þ!!'22. ________________23.The polynomialgives the revenue in dollars on the saleT Ð8Ñ œ "#8  !Þ!#8#oft-shirts. Find the revenue for the sale of 50 t-shirts.823. ________________24.Write a polynomialthat expresses the area of a rectangle whose length is 3 feetT ÐBÑmore than twice the width.24. ________________

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Dugopolski's3College AlgebraChapter P Test -- Form BName: ___________________Determine which elements of the set{3 ,, 0, 0.12, 0.595959 . . . ,, 4 }È&%1are members of the following sets.1.2.Irrational numbers: _______________Natural numbers: _______________Evaluate each expression:3.4.5.6.4, if32+ 324,+-††#"#"Î#ÚÛÜ+ œ  ", œ  #- œ  $#  $ %  Ð#  "Ñ±#  &±‘#3. ________4. ________5. ________6. __________Simplify each expression. Assume that all variables represent positive real numbers.7.8.9.10.ˆ‰ ˆ‰ÈÈÈÈ#+ ,#+,")B&!B B"#)B$#+ ,##Î$$Î$##"$$&'83257. ________8. ________9. ________10.__________Perform the indicated operations and write the answers in the form, whereandare+  ,3+,real.11.12.3Ð %  $Ñ3 3È32711.______________________12.______________________Perform the indicated operations and simplify the results.13.4525ˆ‰ˆ‰BB BB B  ##$#13. ________________14.3Ð B  CÑÐ%B  CÑ14. ________________

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4Form PB15.ˆ‰$B B  #ƒ ÐB  "Ñ$15. ________________16.BB  "B416. ________________17.B  #B  "B #BB  $BB  B  #####†17. ________________18."B"B # %B18. ________________Factor completely.19.20.21.2128B B 'B#B $B )B  "#B$#$#$19.________________20.________________21._____________22.Perform the indicated operations. Write the final answer in scientific notation.! !!!!"$#$ß$!!ß!!!!Þ!!!!#.()()22. ________________23.The polynomialgives the height in feet of a projectile2Ð>Ñ œ  "'> )&>  ##seconds after it has been launched. Find the height of the projectile afterseconds.>#23. ________________24.Write a polynomialthat expresses the area of a triangle whose base isfeetT ÐBÑ#less than four times its height.24. ________________

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Dugopolski's5College AlgebraChapter P Test -- Form CName: _________________________Determine which elements of the set{,2,1.,, 0,,,}))) Þ Þ Þ&1#&'&$$Èare members of the following sets.1.2.Integers: _______________Rational numbers: _________________Evaluate each expression.3.4.5.6.()||% #*$ #  $ %  '"#Î##3(4)+33$  ####3. ________4. ________5. ________6.________Simplify each expression. Assume that all variables represent positive real numbers.7.8.9.10.Ð$+ , Ñ'Ð+ ,Ñ#  "#  "*B C$ B C$#$##%'"Î#*ÈÈÈ$$$&%B B#% B"'B'$Èˆ‰Èab207. ________8. ________9. ________10.________Perform the indicated operations and write the answer in the form, whereandare+  ,3+,real.11.12."#  $3ÈÈŠ‹È $ #( $11.______________________12.______________________Perform the indicated operations and simplify the results.13.ˆ‰ˆ‰B %B  $B B B  ##$#13. ________________14.abˆ‰+,  $+ ,314. ________________15.ˆ‰ab%B ""B  "!ƒB  #$15. ________________

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6Form PC16.21+ 1B  "B16. ________________17.B  BB BB  BBB  #$#$##+ƒ17. ________________18.CB"B#"B C18. ________________Factor completely:19.20."!B ""B  ')B ")C##%19.________________20.________________21.22.12564B B B  "B$#$21.________________22.________________23.Perform the indicated operations. Write the final answer in scientific notation."#ß#!!ß!!!'ß"!!ß!!!!Þ!!&()()23. ________________24.The polynomialgives the profit in dollars from theT Ð8Ñ œ  #8 #&&8  #!!!#production ofitems. Find the profit in producing 100 items.824. ________________25.Write a polynomialthat expresses the area of a rectangle whose width is 5T ÐBÑmeters less than half its length.25. ________________

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Dugopolski's7College AlgebraChapter P Test -- Form DName: ________________________Determine which elements of the set{,,,1.2, 0,, 0.020202, 0.020020002, 6 }"Þ Þ ÞÞ Þ Þ"&"!##1Èare members of the following sets.1.2.Irrational numbers:_________________Integers: __________________________Evaluate each expression:3.4.5.6.if42&  # ±$  # ±Ð#  &Ñ#  ) ƒ %# &BC  DC  B#####ÚÛÜB œ  #C œ &D œ  &$Î#"†3. ________4. ________5. ________6.________Simplify each expression. Assume that all variables represent positive real numbers.7.8.9.10.ˆ‰ab#BC#BC+ ,  #,,"$#"#$$#Š‹Š‹ÈÈÈ#&)#%$#B C& #7. ________8. ________9. ________10.________Perform the indicated operations and write the answer in the form, whereandare+  ,3+,real.11.12.ÈŠ‹È " %  3$  3#  311.______________________12.______________________Perform the indicated operations and simplify the results.13.ˆ‰ˆ‰$B B BB B $B  #%#$#13. ________________14.ˆ‰#"$##B 14. ________________15.ˆ‰ab#B B "ƒB  "$#15. ________________

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8Form PD16.2B"B "B  "#16. ________________17.B  &B  'B  "B  B  #B  B  "#$##†17. ________________18.BC CBB C""""18. ________________Factor completely:19.20.'B B  "&+ ,  $+  + , $,#$##19.________________20.________________21.22.2B "#B ")B"#  #(B%$##21.________________22.________________23.Perform the indicated operations using scientific notation. Give final answer instandard notation.Ð!Þ!!!&ÑÐ%)!ß!!!ß!!!ÑÐ)!ß!!!ÑÐ!Þ!!!!!"Ñ23. ________________24.The polynomialgives the revenue in dollars from the sale ofT Ð8Ñ œ  "Þ#&8 )!8#items. Find the revenue on the sale of 50 items.824. ________________25.Write a polynomialthat expresses the area of a rectangle whose width is 2T ÐBÑinches more than one-third its length.25. ________________

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Dugopolski's9College AlgebraChapter P Test -- Form EName: ________________________A. True or False:_____ 1.0 is an irrational number._____ 2.All integers are whole numbers._____ 3.||||B  CœC  B_____ 4.is an irrational number.$!_____ 5.()+  ,œ + ,$$$_____ 6. %œ "'#_____ 7.Every positive real number is a rational number._____ 8.0.00235102.3510‚œ‚#&_____ 9.Š‹+,,%+#$"#)œ_____ 10.For all real numbers: ||B Bœ BÞB. Multiple Choice: Choose the best answer._____11.Evaluate:ˆ‰# $Þ#""a.b.c.d. "#" """#_____12.Evaluate:#Ð#Ñ $ #  $#Þa.1b.c.5d. 5""&_____13.Rationalize the denominator and simplify:ÈÈ&  "&  "Þa.b.c.d.$ && &' &#'#%(#&ÈÈÈÈ_____14.Simplify:() "'Þ $Î%a.b.c. 8d."#""))_____15.Simplify:'+, -"#+ , -##$%"Þa.b.c.d.,", -"#+ -##+###+ , -##'''#+ , -_____16.Simplify:ˆ‰ˆ‰&B 'B  ' B &B (B  ' Þ#$#a.c.B "$BB "$B  "#$$b.d. B "!B BB "!B B  "#$#$#_____17.Expand the product:ˆ‰"#$&#B Þa.c.#&B '!B  $'B##"%*#&b.d."%%"%%'"&#&*"&#&##BB BB _____18.Simplify:&B  )$B  #B  &B  &Þa.c.2#B  "!#B  "!b.d.#B  '#B  "!B  &B  &

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10Form PE_____19.Simplify:'B  #%$B "#B %B  $B  "#ƒÞa.b.c.d.#'B  $$BÐB #Ñ$B  *#ÐB  "Ñ")ÐB  %ÑÐB  $ÑÐB  "Ñ##_____20.Simplify:B #B  #B"#Þa.b.c.d.""#B  #BBB  #BBÐB  #B Ñ&##$#_____21.Factor completely:B BÞ&a.()c.()()()B BB B  "B  "B "%#b.()()d.(1)B B "B  "B B##%_____22.Factor completely:%B "#B B  $Þ$#a.() ()c.()#B  "B  $%BB  $##b.()()d.() ()%B "B  $B  $%B "###_____23.Factor completely:B $!BC  ##&C Þ##a. ()b. ()c.()d.B  "&CB  ##&CB "&CB "&CÐ#B  "&CÑ#####_____24.Simplify:È(#B CÞ&(a.b.c.d.B C(#BC*BC)B C$B C)BC'B C#BC#$#$#$$&ÈÈÈÈ_____25.Simplify:ÈÈÈ#( "# "%( Þa.bcdÈÈÈÈÈ"!)Þ &$ "%(Þ  #$Þ '$_____26.The altitude of a falling rockseconds after it is dropped is calculated from>the polynomial. Find the altitude of the rock 2 seconds2Ð>Ñ œ  "'> #!!#after it is dropped.a. 78 feetb. 136 feetc. 264 feetd. 164 feet_____27.Find the equivalent expression for:.##ß!!!Ð#ß!!!ß!!!Ñ!Þ!!!!%a.b..c.1.110d.1.110"Þ" ‚ "!" " ‚ "!‚‚"'&"$"&_____28.A rectangle has a length which is 3 more than its width. Write a polynomialwhich expresses the perimeter of this rectangle in terms of the width.T ÐBÑBa.b.c.d.T ÐBÑ œ B $BT ÐBÑ œ %B  $T ÐBÑ œ %B  'T ÐBÑ œ #B  $#_____29.Perform the indicated operations and simplify:Š‹Š‹ÈÈ $  % $  "Þa.b.c.d. (  $3$&  $3$ "  $ $ "  &3$ÈÈÈÈ_____30.Perform the indicated operation and simplify:"  $3"  #3Þa.bc.d." 3Þ "  3(  33$("#&&

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Dugopolski's11College AlgebraChapter P Test -- Form FName: ________________________A. True or False:_____ 1.is a real number.È#_____ 2.All integers are rational numbers._____ 3.B  CC  Bœ  "Þ_____ 4.1œ $Þ"%_____ 5.ˆ‰B Cœ B  C!Þ&!Þ&#_____ 6.ˆ‰+,,+#œ##_____ 7.Every real number is a either rational or irrational._____ 8.0.00023510= 2.3510‚‚#%_____ 9.3œ  "#_____ 10.For all real numbers:BBœ BÞÈ#B. Multiple Choice. Choose the best answer:_____11.Evaluate:.ab&  *"a.b.c.d.% %""%%_____12.Evaluate:.3()Ð#Ñ $#  $#a.2b. 9c.15d.10_____13.Rationalize the denominator and simplify:.ÈÈ2323a.b.c. 116d.#157'#  ""'#  ""&ÈÈÈ_____14.Simplify:(8).%Î'a.b.c.d. 4ÉÉ66Ð)ÑÐ)Ñ%%"%_____15.Simplify:12+ , -#+ ,-##$%"Þa.b. 6c.d.666,, -+ -+##+ , -##'#'#$+ , -_____16.Simplify:ˆ‰ˆ‰ˆ‰&B %B  $ *B #B  "$B )B  ( Þ###a.c. (B "%B  * B #B  &##b.d.""B #B  & (B #B  &##_____17.Expand and simplify:ababab#B  (&B  $ 'B B  # Þa.c.%B #*B  "#%B "(B  #"##b.d."!B $&B  $$%B %"B  #"##_____18.Simplify:BB  "B  "#Þ1a.b.c.d.B  """BBB  "B "B "B  B1####

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