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Test Bank for College Algebra, 6th Edition

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    T ESTING M ANUAL R EBECCA M ULLER Southeastern Louisiana University C OLLEGE A LGEBRA S IXTH E DITION Mark Dugopolski Southeastern Louisiana University

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    Contents Chapter P Tests Page 1 Chapter 1 Tests Page 13 Chapter 2 Tests Page 25 Chapter 3 Tests Page 37 Chapter 4 Tests Page 49 Chapter 5 Tests Page 61 Chapter 6 Tests Page 73 Chapter 7 Tests Page 87 Chapter 8 Tests Page 99 Test Keys Page 111

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    Dugopolski's 111 College Algebra Chapter Test Keys CHAPTER P Form A: 1. 2. 3. 4. 5. 6, , 0, 1.2, , 5 6, 0, 5 21 8 2     $ "' % & 6. 7. 8. 9. 10. " ' $ # $ C ,  %+,  %+ ,  *  ' $ $BC B È È $ 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  'Ñ BÐB  #Ñ B  #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.  $    , 4 8 2 È 1 * ( % $ 7. 8. 9. 10. 11. 12. 0 #+ ,  % %+ , #+  #  $3 !  !3 $ # % $ È 13. 14. 15.  B  *B  %B "#B  BC  C $B  $B  # $ # # # # 16. 17. 18. 19. ( )( ) B  %B  % B  " " B  B B  $ "  #B # # B B  $ B  # 20. 21. 22. ( )( )( ) ( )( ) #B  $ B  # B  # # "  %B "  %B  "'B # ‚ "! # ( 23. 24. 1 feet ( ) !) T ÐBÑ œ B #B  " œ #B  B # Form C: 1. 2. 3. 4. 5. 6.  #ß !ß   â  (  ' # & ' " " $ & $ $ # # 2, 1.999 , , 0, , 2 5 7. 8. 9. 10. * B # C & # % + , &B #  #B $ $  # # È È È $ $ # $ 11. 12. 13. 14. # $ "$ "$ $ # % $ #  3  *  $3  B  #B  &B  " + ,  $+  +,  $, 15. 16. 17. 18. %B  )B  & œ  # B  $ B  $ B  # " B  " B B  " B  " B ( )( + 1) # 19. 20. 21. ( )( ) &B  # #B  $ # #B  $C #B  $C B  " B  " ˆ ‰ˆ ‰ ˆ ‰ a b # # # 22. 23. 24. 25. ( ) 4 0 $ &B  % #&B  #!B  "' ‚ " )(& T ÐBÑ œ B  &B ˆ ‰ # # # " #

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    112 Chapter P Test Key Form D: 1. 2. 3. .  † † †  "  1 , 0.020020002 , 0, , 6 "! $ $ # % ( È % 5. 6. 7. 8. 9. 4 ( B "& # ' $ # # +  %+ ,  %, #BC #B È % 10. 11. 12. 13. (  # "!  "  !3 "  3 $B  B  #B  # È % $ 14. 15. 16. 17. 18. % # " " * $ % B  " # # B  B  #B  B  " B  $  B  C 19. 20. 21. ( )( ) ( )( ) ( ) $B  & #B  $ +  , + ,  $ #B B  $ # # # 22. 23. 24. 25. $ #  $B #  $B $ ‚ "! B  #B ( )( ) $1300 ' # " $ Form E: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. F F F F F F F T F F 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. a a a d a a d c a b 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. c b a d c b d c a b Form F: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. T T F F F T T F T F 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. c c d c d a d c b b 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. d c b d c c b d d c

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    Dugopolski's 1 College Algebra Chapter P Test -- Form A Name: ________________________ Determine which elements of the set { 6, , , 0, 0.121221222 . . . , 1.2, , , 5 }   #  È $ "' % & 1 are members of the following sets. 1. 2. Rational numbers: ________________ Integers: ________________ Evaluate each expression Þ 3. 4. 5. 6. 2(2 5) + | 4 7 | 4 16    # Î "Î% 3 2 #  $Ð%  "Ñ Ð#  "ÑÐ%Ð#ÑÑ $ 3. ________ 4. ________ 5. ________ 6._____________ Simplify each expression. Assume that all variables represent positive real numbers. 7. 8. 9. 10. ÐB C Ñ Ð+,  #+ ,Ñ ÐBCÑ $  # + , #( 3 9 2 3/2 "Î # # # È È È 3 #(B C % * 7. ________ 8. ________ 9. ________ 10.________ Perform the indicated operations and write the answer in the form , where and are +  ,3 + , real. 11. 12. a b $  #3 3  3 # $ # 11. ______________________ 12. ______________________ Perform the indicated operations and simplify the results. 13. ( 3) ( + ) B &B   #B B  " $ $ # 13. ________________ 14. (2 3 )(5 + 4 ) B  C B C 14. ________________

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    2 Form PA 15. (2 + 3) ( 1) B B  ƒ B  $ # 15. ________________ 16. %B B  $ B  " B  &B  ' # # + 16. ________________ 17. B  #B B  &B  ' B  B B  %B  $ # # $ # # ƒ 17. ________________ 18. ,  , +  +, " " 18. ________________ Factor completely: 19. 20. 21. 6 5 6 8 4 2 + 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 polynomial gives the revenue in dollars on the sale T Ð8Ñ œ "#8  !Þ!#8 # of t-shirts. Find the revenue for the sale of 50 t-shirts. 8 23. ________________ 24. Write a polynomial that expresses the area of a rectangle whose length is 3 feet T ÐBÑ more than twice the width. 24. ________________

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    Dugopolski's 3 College Algebra Chapter P Test -- Form B Name: ___________________ Determine which elements of the set { 3 , , 0, 0.12, 0.595959 . . . , , 4 }   È & % 1 are members of the following sets. 1. 2. Irrational numbers: _______________ Natural numbers: _______________ Evaluate each expression: 3. 4. 5. 6. 4 , if 3 2 + 3 2 4 ,  +- † †  # " # "Î# Ú Û Ü + 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 ‰ È È È È #+ , #+, ")B  &!B  B "#)B  $#+ , # #Î$ $Î $ # # " $ $ & ' 8 32 5 7. ________ 8. ________ 9. ________ 10.__________ Perform the indicated operations and write the answers in the form , where and are +  ,3 + , real. 11. 12. 3Ð  %  $Ñ 3  3 È 3 27 11. ______________________ 12. ______________________ Perform the indicated operations and simplify the results. 13. 4 5 2 5 ˆ ‰ ˆ ‰ B  B   B  B  B  # # $ # 13. ________________ 14. 3 Ð B  CÑÐ%B  CÑ 14. ________________

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    4 Form PB 15. ˆ ‰ $B  B  # ƒ ÐB  "Ñ $ 15. ________________ 16. B B  " B 4  16. ________________ 17. B  #B  " B  #B B  $B B  B  # # # # # † 17. ________________ 18. " B " B  #  %B 18. ________________ Factor completely. 19. 20. 21. 2 128 B  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 polynomial gives the height in feet of a projectile 2Ð>Ñ œ  "'>  )&>  # # seconds after it has been launched. Find the height of the projectile after seconds. > # 23. ________________ 24. Write a polynomial that expresses the area of a triangle whose base is feet T ÐBÑ # less than four times its height. 24. ________________

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    Dugopolski's 5 College Algebra Chapter P Test -- Form C Name: _________________________ Determine which elements of the set { , 2, 1. , , 0, , , }    ))) Þ Þ Þ  & 1 # & ' & $ $ È are members of the following sets. 1. 2. Integers: _______________ Rational numbers: _________________ Evaluate each expression. 3. 4. 5. 6. ( ) | | %  # * $ #  $  %  ' " # Î# # 3 (4) +3 3 $  # #  # # 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# * È È È $ $ $ &%B  B #%  B "'B ' $ È ˆ ‰ È a b 2 0 7. ________ 8. ________ 9. ________ 10.________ Perform the indicated operations and write the answer in the form , where and are +  ,3 + , real. 11. 12. " #  $3 È È Š ‹ È  $  #(  $ 11. ______________________ 12. ______________________ Perform the indicated operations and simplify the results. 13. ˆ ‰ ˆ ‰ B  %B  $  B  B  B  # # $ # 13. ________________ 14. a bˆ ‰ +,  $ +  , 3 14. ________________ 15. ˆ ‰ a b %B  ""B  "! ƒ B  # $ 15. ________________

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    6 Form PC 16. 2 1 + 1 B  " B  16. ________________ 17. B  B B  B B  B B B  # $ # $ # # + ƒ 17. ________________ 18. C B " B # " B   C 18. ________________ Factor completely: 19. 20. "!B  ""B  ' )B  ")C # # % 19. ________________ 20. ________________ 21. 22. 125 64 B  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 polynomial gives the profit in dollars from the T Ð8Ñ œ  #8  #&&8  #!!! # production of items. Find the profit in producing 100 items. 8 24. ________________ 25. Write a polynomial that expresses the area of a rectangle whose width is 5 T ÐBÑ meters less than half its length. 25. ________________

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    Dugopolski's 7 College Algebra Chapter P Test -- Form D Name: ________________________ Determine which elements of the set { , , , 1.2, 0, , 0.020202 , 0.020020002 , 6 }     " Þ Þ Þ Þ Þ Þ "& "! # # 1 È are members of the following sets. 1. 2. Irrational numbers: _________________ Integers: __________________________ Evaluate each expression: 3. 4. 5. 6. if 4 2 &  # ±$  # ± Ð#  &Ñ #  ) ƒ % #  & BC  D C  B # # # # # Ú Û Ü B 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 ‰ a b #B C #B C + ,  #, , " $ # " # $ $ # Š ‹ Š ‹ È È È # & ) # % $#B C &  # 7. ________ 8. ________ 9. ________ 10.________ Perform the indicated operations and write the answer in the form , where and are +  ,3 + , real. 11. 12. È Š ‹ È  "  %  3 $  3 #  3 11. ______________________ 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 ‰ a b #B  B  " ƒ B  " $ # 15. ________________

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    8 Form PD 16. 2 B " B  " B  " #  16. ________________ 17. B  &B  ' B  " B  B  # B  B  " # $ # # † 17. ________________ 18. BC  CB B  C " " " " 18. ________________ Factor completely: 19. 20. 'B  B  "& + ,  $+  + ,  $, # $ # # 19. ________________ 20. ________________ 21. 22. 2 B  "#B  ")B "#  #(B % $ # # 21. ________________ 22. ________________ 23. Perform the indicated operations using scientific notation. Give final answer in standard notation. Ð!Þ!!!&ÑÐ%)!ß!!!ß!!!Ñ Ð)!ß!!!ÑÐ!Þ!!!!!"Ñ 23. ________________ 24. The polynomial gives the revenue in dollars from the sale of T Ð8Ñ œ  "Þ#&8  )!8 # items. Find the revenue on the sale of 50 items. 8 24. ________________ 25. Write a polynomial that expresses the area of a rectangle whose width is 2 T ÐBÑ inches more than one-third its length. 25. ________________

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    Dugopolski's 9 College Algebra Chapter P Test -- Form E Name: ________________________ A. True or False: _____ 1. 0 is an irrational number. _____ 2. All integers are whole numbers. _____ 3. | | | | B  C œ  C  B _____ 4. is an irrational number. $ ! _____ 5. ( ) +  , œ +  , $ $ $ _____ 6.  % œ "' # _____ 7. Every positive real number is a rational number. _____ 8. 0.00235 10 2.35 10 ‚ œ ‚ # & _____ 9. Š ‹ + , , % + # $ "# ) œ _____ 10. For all real numbers : | | B  B œ BÞ B. Multiple Choice: Choose the best answer. _____ 11. Evaluate: ˆ ‰ #  $ Þ # " " a. b. c. d.  "# "  " " "# _____ 12. Evaluate: #Ð#Ñ  $  #  $ # Þ a. 1 b. c. 5 d. 5   "" & _____ 13. Rationalize the denominator and simplify: È È &  " &  " Þ a. b. c. d. $  & &  & '  & # ' # % (# & È È È È _____ 14. Simplify: ( )  "' Þ  $Î% a. b. c. 8 d. "#  " " ) ) _____ 15. Simplify: '+ , - "#+ , - # # $ % " Þ a. b. c. d. , " , - " #+ - # #+ # # #+ , - # # ' ' ' # + , - _____ 16. Simplify: ˆ ‰ ˆ ‰ &B  'B  '   B  &B  (B  ' Þ # $ # a. c. B  "$B B  "$B  "# $ $ b. d.  B  "!B  B B  "!B  B  "# $ # $ # _____ 17. Expand the product: ˆ ‰ " # $ & # B  Þ a. c. #&B  '!B  $' B  # # " % * #& b. d. " % % " % % ' "& #& * "& #& # # B  B  B  B  _____ 18. Simplify: &B  ) $B  # B  & B  &  Þ a. c. 2 #B  "!#B  "! b. d. #B  ' #B  "! B  & B  &

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    10 Form PE _____ 19. Simplify: 'B  #% $B "# B %B  $ B  " # ƒ Þ a. b. c. d. # ' B  $ $BÐB #Ñ $B  * #ÐB  "Ñ ")ÐB  %Ñ ÐB  $ÑÐB  "Ñ # # _____ 20. Simplify: B  # B  #B " # Þ a. b. c. d. " " # B  # B B B  #B BÐB  #B Ñ & # # $ # _____ 21. Factor completely: B  BÞ & a. ( ) c. ( )( )( ) B B B B  " B  " B  " % # b. ( )( ) d. ( 1) B B  " B  " B B  # # % _____ 22. Factor completely: %B  "#B  B  $Þ $ # a. ( ) ( ) c. ( ) #B  " B  $ %B B  $ # # b. ( )( ) d. ( ) ( ) %B  " B  $ B  $ %B  " # # # _____ 23. Factor completely: B  $!BC  ##&C Þ # # a. ( ) b. ( ) c. ( ) d. B  "&C B  ##&C B  "&C B  "&CÐ#B  "&CÑ # # # # # _____ 24. Simplify: È (#B C Þ & ( a. b. c. d. B C (#BC *BC )B C $B C )BC 'B C #BC # $ # $ # $ $ & È È È È _____ 25. Simplify: È È È #(  "#  "%( Þ a. b c d È È È È È "!) Þ & $  "%( Þ  # $ Þ ' $ _____ 26. The altitude of a falling rock seconds after it is dropped is calculated from > the polynomial . Find the altitude of the rock 2 seconds 2Ð>Ñ œ  "'>  #!! # after it is dropped. a. 78 feet b. 136 feet c. 264 feet d. 164 feet _____ 27. Find the equivalent expression for: . ##ß!!!Ð#ß!!!ß!!!Ñ !Þ!!!!% a. b. . c. 1.1 10 d. 1.1 10 "Þ" ‚ "! " " ‚ "! ‚ ‚ "' & "$ "& _____ 28. A rectangle has a length which is 3 more than its width. Write a polynomial which expresses the perimeter of this rectangle in terms of the width . T ÐBÑ B a. b. c. d. T ÐBÑ œ B  $B T ÐBÑ œ %B  $ T ÐBÑ œ %B  ' T ÐBÑ œ #B  $ # _____ 29. Perform the indicated operations and simplify: Š ‹Š ‹ È È  $  %  $  " Þ a. b. c. d.  (  $3 $ &  $3 $  "  $  $  "  &3 $ È È È È _____ 30. Perform the indicated operation and simplify: "  $3 "  #3 Þ a. b c. d. "  3 Þ  "  3 (  3  3 $ ( " # & &

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    Dugopolski's 11 College Algebra Chapter P Test -- Form F Name: ________________________ A. True or False: _____ 1. is a real number. È # _____ 2. All integers are rational numbers. _____ 3. B  C C  B œ  "Þ _____ 4. 1 œ $Þ"% _____ 5. ˆ ‰ B  C œ B  C !Þ& !Þ& # _____ 6. ˆ ‰ + , , + # œ # # _____ 7. Every real number is a either rational or irrational. _____ 8. 0.000235 10 = 2.35 10 ‚ ‚ # % _____ 9. 3 œ  " # _____ 10. For all real numbers : B B œ BÞ È # B. Multiple Choice. Choose the best answer: _____ 11. Evaluate: . a b &  * " a. b. c. d. %   % " " % % _____ 12. Evaluate: . 3 ( ) Ð#Ñ  $ #  $ # a. 2 b. 9 c. 15 d. 10    _____ 13. Rationalize the denominator and simplify: . È È 2 3 2 3   a. b. c. 11 6 d.   # 1 5 7 ' #  "" ' #  "" & È È È _____ 14. Simplify: ( 8) .  %Î' a. b. c. d. 4 É É 6 6 Ð)Ñ  Ð)Ñ % % " % _____ 15. Simplify: 12 + , - #+ ,- # # $ % " Þ a. b. 6 c. d. 6 6 6 , , - + - + # # + , - # # ' # ' # $ + , - _____ 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: a ba b a b #B  ( &B  $  'B B  # Þ a. c. %B  #*B  "# %B  "(B  #" # # b. d. "!B  $&B  $$ %B  %"B  #" # # _____ 18. Simplify: B B  " B  " #  Þ 1 a. b. c. d. B  " " " B B B  " B  " B  " B  B 1 # # # # 

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