DIAGNOSTIC-STEP 2

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   THE FOLLOWING ARE PROBLEMS THAT HAVE BEEN ON THE SAT TESTS.
   1.  (a-b)(b-a)
      A.   a[2] -2ab +b[2]  (Note: a[2] means  a squared
      B.   a[2] -b[2]
      C.   a[2] +2ab +b[2]
      D.   a[2]+2ab-b[2]
      e.   -a[2] +2ab -b[2]

 
   2.  In a certain state one must pay a state income tax of 5 percent.
   The federal income tax instructions say that one mayh deduct
   75 percent of the amount of one's state income tax.
   If a man was able to deduct $900 from his federal income
   tax because of his state income tax, what was his income?
      A.   $3,375
      B.   $6,000
      C.   $7,200
      D.   $13,500
      E.   $24,000


    3.  Margaret has d dimes and n nickels totaling $3.00.
    If she has 40 coins altogether, which of the pairs of
    equations could be used to solve forf the number of
    nickels and dimes Margaret has?
   A.  x(d) +(40-x)n =$3.00
       n+d=40
   B.  3.00 -d=n
       n+d=40
   C.  5x+10d=$3.00
       n+d=40
   D.  40-(n+d)=$3.00
       n+d=40


    4. IN A PREHISTORIC VILLAGE, ROCKS, STONE, AND PEBBLES
       WERE USED AS MONEY.  tHE RELATIVE VALUES OF THE
       "COINS" WERE:
       1 ROCK = 7 STONES
       1 ROCK = 49 PEBBLES
       iF A MAN USED 6 ROCKS TO PURCHASE A HIDE THAT COST
       5 ROCKS, 2 STONES, AND 3 PEBBLES,
       hOW MUCH CHANGE WAS HE OWED?
    A. 1 ROCK, 5 STONES, 4 PEBBLES
    B. 5 STONES, 4 PEBBLES  
    C. 4 STONES, 4 PEBBLES 
    D. 5 STONES, 5 PEBBLES
    E. 6 STONES, 5 PEBBLES


    5. All of the following are implied by the
       equation  a/b = c/d   EXCEPT
    A. AD =BC
    B. A/C = B/D
    C. (A-B)/B = (C-D)/D
    D. (A+B)/(A-B) =(C+D)/(C-D)
    E. AD/C = BC/D




    6. The sum of three consecutive odd numbers is how
    many times as large as the middle number?
    A.  1
    B.  1 1/2
    C.  2
    D.  3
    E.  5


    7.  At most, how manyh 1 1/4 foot peieces of string can
    be cut from a string that is 20 feet long?
    A.  15
    B.  16
    C.  18
    D.  20
    E.  25


    8.  If n= -1000, which of the following is a
    negative number?
    A. n/3 - n/2
    B. n/3 - n/4
    C. -n/3 - n/2
    D. -2(n-1)
    E, n(n+1)


    9. If 2x = 3y = 4w, what is 5x +6w in terms of y?
    A.  8y
    B.  9y
    C.  10y
    D.  12y
    E.  15y


     10. B dozen oranges costs a total of C cents.
     At this rate, how many oranges can be bought
     for E cents?
     A.  CE/12B
     B.  BE/12C
     C.  12BC/E
     D.  12BE/C
     E.  12CE/B




     11. IN THE LAST FIVE YEARS, THE PRICE OF A NEW BRAND X CAR
     HAS INCREASED 30 PERCENT.  iF IT IS ASSUMED THAT THE PERCENT
     INCREASE IN THE NEXT FIVE-YEAR PERIOD WILL BE THE SAME,
     THEN THE PERCENT INCREASE IN THE PRICE OF A NEW BRAND X
     CAR OVER THE ENTIRE TEN-YEAR PERIOD WILL BE:
     A.  15%
     B.  30%
     C.  39%
     D.  60%
     E.  69%


     12. If x[2] +y[2] = 18 and xy=6, then (x-y)[2] =
     (note [2] means squared.0
     A. 12
     B.  6
     C.  0
     D. -6
     E. -12


     13. There are between 60 and 70 eggs in a basket.
     If they are counted out 3 at a time there are 2
     left over, but if they are counted out 4 at a
     time there is 1 left over.
     How many eggs are in the basket?
     A. 61
     B. 62
     C. 65
     D. 68
     E. 69


    14. Tom is t years old, whiich is 3 times Becky's age.
    In terms of t, after how manuy years will tom be just
    twice as old as Becky?
     A.  t/3
     B.  t/2
     C.  2t/3
     D.  t
     E.  3t/2


    15. Of the 400 students at a certain college,  3/4 have
    automobiles and 120 live on campus.
    Of the students living on campus, 65 have automobiles.
    How many students do not live on campus and do not
    have automobiles?
     A.  45
     B.  98
     C.  129
     D.  215
     E.  335




   
























Solutions