A2 N 7 ImaginaryNumbers2

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					    Regents Exam Questions A2.N.7: Imaginary Numbers 2                                     Page 1
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                                                         Name: __________________________________

    A2.N.7: Imaginary Numbers: Simplify powers of i

 1 Mrs. Donahue made up a game to help her class learn about imaginary numbers. The
   winner will be the student whose expression is equivalent to . Which expression will
   win the game?
   1)
   2)
   3)
   4)

 2 The expression         is equivalent to


 3 Which expression is equivalent to              ?


 4 The value of      is


 5 The expression         is equivalent to


 6 When simplified,            is equivalent to


 7 Which expression is equivalent to


 8 Which expression is equivalent to


 9 The expression                 is equivalent to


10 When simplified,                is equal to


11 The expression                        equals


12 If i is the imaginary unit, the expression                    is equivalent to


13 Expressed in simplest form,                        is equivalent to


14 What is the value of              ?

15 The product            is
    Regents Exam Questions A2.N.7: Imaginary Numbers 2                                     Page 2
    www.jmap.org
                                                         Name: __________________________________

16 The product of         and    is equivalent to


17 The expression                       is equal to


18 The expression           is equivalent to


19 The expression                is equivalent to


20 The expression                  is equivalent to


21 What is the value of            ?


22 If              , what is the value of      ?


23 If              , what is the value of      ?


24 If                   , then     is equivalent to


25 Determine the value of n in simplest form:
   Regents Exam Questions A2.N.7: Imaginary Numbers 2
   www.jmap.org


1 ANS: 2                REF: 060615b
2 ANS:
  i

  REF: 010705b
3 ANS:


  REF: 010905b
4 ANS:
  1

  REF: 018631siii
5 ANS:


  REF: 069527siii
6 ANS:


  REF: 089830siii
7 ANS:
  i

  REF: 010334siii
8 ANS:
  i

  REF: 080327siii
9 ANS:



   REF: 081004a2
10 ANS:


   REF: 080407b
11 ANS:
   i

   REF: 060819b
12 ANS:
   0

   REF: 060331siii
   Regents Exam Questions A2.N.7: Imaginary Numbers 2
   www.jmap.org


13 ANS:


   REF: 080215b
14 ANS:
   0

   REF: 060315b
15 ANS:


   REF: 088423siii
16 ANS:
   1

   REF: 061019a2
17 ANS:

   REF: 060410b
18 ANS:
   i
   REF: 010518b
19 ANS:

   REF: 069925siii
20 ANS:

   REF: 080702b
21 ANS:

   REF: 060224siii
22 ANS:

   REF: 010034siii
23 ANS:

   REF: 080128siii
24 ANS:

   REF: 010415b
25 ANS:




   REF: 061228a2

				
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