Expert: Lynn Houston - 12/29/2008

Question
1. Solve: 3u/5 - 5/6 =  u/ 10

a.) u = 25 / 21        b.) u = -5 / 3

c.) u = 5 / 3          d.) u = 5 / 7


2. Solve: s - 2 - s - 1 = 1
         -----   -----   -
           2       5     4

a.) s = 3.5          b,) s = 1.6

c.) s = -1.6         d.) s = -3.5



3.  1 - t + 2 + 1 ≥ 0
   -   -----   -
   4     3     6

a.) t ≥ 6         b.) t ≥ -6

c.) ≤ -0.75       d.) t ≥ 0.75



4. Solve: x - 5 ≤  2x - 2
         -----    --   -
           9      15   5

a.)  x ≤ -7           b.) x ≥ -7

c.) x ≥  7 / 11       d.) x ≥ 7



5. Solve: t^2 - t - 2 = 0
         ---   -   -
          6    2   3

a.) t = 2 or -2          b.) t = 1 or -4

c.) t = -1 or 4          d.)  t = 4



6. Solve: v^2 + 1 = v
         ---   -   -
          6    8   3

a.) v = -1.33 or 1      b.) v = 1.5 or 0.5

c.) v = -4 or 3         d.) v = 1.5 or 0



7. Solve: t (t - 1) = t + 1
         ---------   -----
             3         2  

a.) t = 1 or -1.5         b.) t = 0.5 or -3

c.) t = 0.5 or -1.5       d.) t = -0.5 or 3



8. Solve: w (w - 1) + 1 = w + 1
         ---------   -   -----
             3       2     2  

a.) w = 0 or 2.5       b.) w = 0.75 or 1

c.) w = -2 or 1.5      d.) w = 2.5 or -1



9. Lisa Chen invested $24,000, part at 8% and the rest at 7.2%.  How much did she invest at each rate if her income from the 8% investment is two thirds that of the 7.2% investment?

a.) $16,000 at 7.2% and $8,000 at 8%  
b.) $12,000 at 7.2% and $12,000 at 8%
c.) $14,000 at 7.2% and 10,000 at 8%  
d.) $15,000 at 7.2% and $9,000 at 8%



10. How much of an 18% solution of sulfuric acid should be added to 360 ml of a 10% solution to obtain a 15% solution?

a.) 60 ml      b.) 600 ml

c.) 54 ml      d.) 540 ml



11. Pipes A and B can fill a storage tank in 8 hours and 12 hours, respectively.  With the tank empty, pipe A was turned on at noon, and then pipe B was turned on at 1:30 P.M.  At what time was the tank full?

a.) 4:54 p.m.         b.) 5:14 p.m.

c.) 5:24 p.m.         d.) 5:05 p.m.



12. Solve: 2 + 1 = 1
          -   -   -
          x   4   x

a.) x = 12         b.) x = -4

c.) x = 8          d.) x = -8



13. Solve:  3  =   1  
          ----   ----
         u + 2   u - 2

a.) u = 3        b.) u = 4

c.) u = 2        d.) u = 1  

Answer
1. Solve: 3u/5 - 5/6 =  u/ 10
c.) u = 5 / 3

2. Solve: s - 2 - s - 1 = 1
        -----   -----   -
          2       5     4

a.) s = 3.5


3.  1 - t + 2 + 1 ≥ 0
  -   -----   -
  4     3     6

c.) t ≤ -0.75


4. Solve: x - 5 ≤  2x - 2
        -----    --   -
          9      15   5

a.)  x ≤ -7


5. Solve: t^2 - t - 2 = 0
        ---   -   -
         6    2   3

c.) t = -1 or 4


6. Solve: v^2 + 1 = v
        ---   -   -
         6    8   3

b.) v = 1.5 or 0.5


7. Solve: t (t - 1) = t + 1
        ---------   -----
            3         2  

d.) t = -0.5 or 3


8. Solve: w (w - 1) + 1 = w + 1
        ---------   -   -----
            3       2     2  

a.) w = 0 or 2.5


9. Lisa Chen invested $24,000, part at 8% and the rest at 7.2%.  How much did she invest at each rate if her income from the 8% investment is two thirds that of the 7.2% investment?

d.) $15,000 at 7.2% and $9,000 at 8%

ur on ur own for 10 and 11.

10. How much of an 18% solution of sulfuric acid should be added to 360 ml of a 10% solution to obtain a 15% solution?

a.) 60 ml      b.) 600 ml

c.) 54 ml      d.) 540 ml



11. Pipes A and B can fill a storage tank in 8 hours and 12 hours, respectively.  With the tank empty, pipe A was turned on at noon, and then pipe B was turned on at 1:30 P.M.  At what time was the tank full?

a.) 4:54 p.m.         b.) 5:14 p.m.

c.) 5:24 p.m.         d.) 5:05 p.m.



12. Solve: 2 + 1 = 1
         -   -   -
         x   4   x

b.) x = -4


13. Solve:  3  =   1  
         ----   ----
        u + 2   u - 2

b.) u = 4