Oakton Community College
MAT 149   PreCalculus
Section 005:   TR  12:30 - 2:45   Room 2145   DP Campus
Paul Boisvert     Professor of Mathematics 
FALL  Semester  2009
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Homework Assignments
Note:  Below, exponents are written with the wedge ^ notation.  So "x raised to the third power" would be "x^3". 
Fractions are written with slashes and parentheses:  A fraction with a + b in the top and c - d in the bottom is written as  ( a + b )  /  ( c - d ) .
Square Roots are written as "sqt(x)", and higher roots as fractional exponents, i.e.,  cube root of x would be  "x^(1/3)"
Date Page.  Problems Read Sections
Tue
8/25		 p. 12 9-13 ALL
35-85 [ending in 1, 5, and 9] -- that is, 35, 39, 41, 45, 49, 51, 55, etc.    SKIP the ones ending in 3 or 7, like 37, 43, 47, 53, etc.
NOTE:   Whenever I assign problems ending in 1, 5, 9, the ones ending in 3 and 7 in between are always OPTIONAL.  Do them if you feel you want extra practice (check your answers.)  But Don't do them if you don't feel
               you need to.  I will answer questions about the ones ending in 3 and 7 in class for those who choose to do them, as well as for the regular assignment.
87-99 Odd.                                                                                                                                                                                                                              .		 P.1
Thu
8/27		  p. 22 1-51 [Ending in 1, 5, 9]   Optional ones ending in 3 and 7 highly recommended if you have any trouble with regular ones--exponents often require a lot of practice!
37 and 43
55-75 [Ending in 1, 5, 9]   Again, optional ones recommended if you have trouble.
#77		 P.2
Tue
9/1		 p. 35 1-89 odd   [91-97 odd you can actually SKIP, I didn't mean to assign them in class.] P.3
  p. 44  1-41 [Ending in 1, 5, and 9]   3's and 7's are optional, recommended if you have not seen complex numbers before.  P.4 
Thu
9/3		 p. 44 45-91 [Ending in 1, 5, and 9]  3's and 7's are optional, recommended if you have not seen complex numbers before.   
  p. 53  1, 3, 9, 15, 21, 25, 29, 35, 39, 41, 43, 45, 47, 53, 57, 63, 65, 67, 69, 71, 83, 89  P.5 
Tue
9/8		 p. 64  1-5 odd,  9-15 odd, 25-29 odd, 31, 37, 39, 51, 53,     45-48 ALL
59-67 odd,    70, 79, 81, 82
ANSWERS:   46)    (1 - 2a^2) (1 + 2a^2 + 4a^4)                   48)  (2th + n^3) (4 t^2 h^2- 2 t h n^3 + n^6)
  70)  (a^2 - 2) (a^2 + 2) (a - 4)                                                 82)  Long Divide (2x + 1)  into  2x^3 + 7x^2 + 5x + 1  to get the remaining factor, which is:   (x^2 + 3x + 1)		 P. 6 
  p. 76     [NOTE:  3-7 odd were assigned in Class by mistake--do NOT do them if you haven't already done them.  SKIP them!]

9, 13, 17, 19,    23-31 odd    Reduce, mult, divide by factoring and cancelling.  Be sure to invert when dividing.
P.7 
Thu
9/10 		p. 76   45-61 [Ending in 1, 5, 9].  These are Add/Subt problems, using LCD.   NOTE:  if you find these difficult, DO THE OPTIONAL ones ending in 3 and 7 in between the assigned ones.
  ALSO do #57 [Not Optional]
63-77 odd   Complex Fractions -- Mult. all little fractions in their numerators by the TOTAL LCD for all fractions.
81, 83		  
  p. 95 9-25 odd   1.1
Tue
9/15		    REVIEW For Test 1       Bring your Book.
      BEFORE COMING TO THIS CLASS, you should have ALREADY Reviewed all old HW.  If you have not looked at and reviewed all old HW before coming in, you will WASTE a lot of time trying to do so during the Review Session.  If you HAVE already reviewed, you will be able to use the in-class review session to answer your (few, we hope) remaining questions, and fine-tune your knowledge well for the test. 		  
Thu
9/17		    TEST 1    Covers all material on which HW was asssigned, up through Section 2.2.    Closed Book, No Notes.

     BRING SOME PAPER of your own.   This can be paper you will rip out of a notebook (as long as it has nothing written on it.)  Or any other kind of blank paper you wish.            Bring several sheets.

BRING your OWN Calculator.  NO SHARING of calculators during the test. 		  
Tue
9/22		   All HW assigned before Test 1 is DUE.  I will have a stapler there so you can staple it into one big packet.  Make sure your name is on at least the first page of it.     
   p. 106  1-14 ALL   1.2
   p. 120  5, 9, 13, 15, 29, 31, 33, 35, 39, 41,        
55 a) and b) only
61, 63		  1.3
Thu
9/24 		 p. 134  1-71 [ending in 1, 5, 9]     Ones ending in 3 and 7 are optional
89, 90
Answer:  90)  with C = Cost (y), and  n = number of cards (x),   slope = (35 - 23) / (500 - 200)  =  12/300  =  1/25
                      So Point-slope Equation is   C - 23 = 1/25 (n - 200).   No need to simplify.		 1.4 
Tue
9/29		 p. 157  17, 21, 23, -- for these, solve by factoring
43-55 odd,  57,  105,  107  --  Solve by Quadratic Formula
1-4 ALL   Solve by separating
Answers:   2)  x =  +  2 sqrt(2)       4)  x =  +  2 i sqrt(2)		 1.6 
Thu
10/1 		 p. 170  9-19 odd, 33-37 odd, 39-47 odd,
49-52 ALL --these are 3-sided.  Preferred method is to cover one side, decide how to solve, uncover it, do same thing to all 3 sides.
                      Note:  If you do these as compound inequalities, they are AND inequalitites.
Answers:  50)  [-3, 2]      52)  [-4, 2)   		 1.7 
  p. 194  11, 13, 17, 19,  49-67 odd,   77, 79, 81, 87, 89    2.1 
Tue
10/6 		   Board Problems:   For each one, find the Domain.  For denom's, this is "all x except where Denom = 0."  For even roots, this is the solution to "inside > 0 " .
                             For problems without denom's that can = 0 , and without even roots, the Domain is "all real numbers" = (-oo , oo )
A)  y =  3 / (x^2 - 25)          B)  y  =  7 / (x^2 - 3x)            C)  y = sqrt(-4x + 6)          D)  y = 4th root of (7 - x)      
E)  y =   [ cube root of (x) ] +  x^3

Answers:  
A)  { x |  x does not = 5, x does not = -5}   B)   { x |  x does not = 0, x does not = 3}   C)  (-oo , 3/2]     D)  ( -oo , 7]      E)  ( - oo , oo )		 2.1 
  p. 208  35, 37, 41, 42
And:  This Board problem:     Graph this piecewise function, showing all ghost/border points.  Show 2 points for a line, 3 for other functions.  Do not show parts of functions that do not belong to their own domain.                  x + 3           x > 2
                                                         f(x) =    x^2  +  1       x < 2
                                                                        6                 x = 2                  
Answer to Board problem given in class.
Answer to #42) Given in class		 2.2 
  p. 224  17-29 odd  2.3 
Thu
10/8 		 p. 235  21-27 odd,  37-45 odd,  49-59 odd     For all of these, do NOT worry about the "Domain" question, you can skip that part.  2.4 
  p. 248  39-51 odd,  53, 57, 59  2.5 
Tue
10/13 		    REVIEW For Test 2       Bring your Book.
      BEFORE COMING TO THIS CLASS, you should have ALREADY Reviewed all old HWsince the First Test.  This also included the HW on complex fractions and on LCD's from before Test 1 (page 76).  		  
Thu
10/15 		    TEST 2    Covers all material on which HW was asssigned, up through Section       
Also covers section P.7--LCD problems, which were on Test 1 but with which many people had trouble.  
And covers complex fractions, also from P.7, which were not on Test 1.
     BRING SOME PAPER of your own.   This can be paper you will rip out of a notebook (as long as it has nothing written on it.)  Or any other kind of blank paper you wish.  Bring several sheets.
BRING your OWN Calculator.  NO SHARING of calculators during the test. 		  
Tue
10/20		 p. 276  33, 35, 37, 43   Graph these parabolas, showing y-int., x-int.s, and Vertex (-b/2a , ?)
45-51 odd:   Solve these by setting > 0 (or < 0) , graping the resulting function, finding it's zeroes (x-int.'s), and then looking at where on the graph the y- values are >0  or  < 0.		 3.1 
p. 290 31-41 odd
Board problem:  A)  Find all zeroes of   f(x)  =  x^3 + 2x^2 - 8x - 15   as follows:   first, check f(3) and f(-3) to see if they are zeroes.  
                               Then use the one that is to form a factor, and Long Divide it out to get the other factor.  Set the other factor = 0 and find it's solutions by Quad. Formula.  		 3.2
Thu
10/22 		   NO CLASS   
Tue
10/27 		   No HW  
Thu
10/29		 p. 312 1-9 odd, 11-19 odd, 27-33 odd, 35, 45, 47 3.4
p. 365 13-23 odd, 31-37 odd 4.1
Tue
11/3		 p. 378 9-23 odd, 43-61 odd,  73-101 odd 4.2
p. 392 1-7 odd, 9-27 odd, 37-47 odd, 49-57 odd, 67-79 odd 4.3
Thu
11/5		 p. 403 27-41 odd 4.4
p. 429 1-27 odd, 41-47 odd 5.1
Tue
11/10		 REVIEW For Test 3       Bring your Book.
      BEFORE COMING TO THIS CLASS, you should have ALREADY Reviewed all old HWsince the Second Test.  
      This also includes the HW on piecewise functions from before Test 2 (page 208).  
Thu
11/12		 TEST 3    Covers all material on which HW was assigned, up through Section 4.4    NOTE:  Section 5.1 will NOT be on this test.  It will be on Test 4.
                   Also covers piecwise functions from section 2.2, which were not on Test 2
                   
BRING SOME PAPER of your own.  

BRING your OWN GRAPHING Calculator.  NO SHARING of calculators during the test.
     There will be problems on the test that you can ONLY solve using a graphing calculator--so make sure you have one that you KNOW how to use!
Tue
11/17		   HW due  
  p. 429 Just a reminder to make sure you did the HW assigned above for Thu 11/5 before the TEst --it was not covered on Test 3 but will be on Test 4. :  1-27 odd, 41-47 odd   I will answer Q's on this old HW next time.  
  p. 429 NEW HW:  49, 53,  55-87 odd,  89, 91-97 odd 5.1
  p. 443 1-27 odd, 29-59 odd, 61-69 odd 5.2
Thu
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