Expert: Lynn Houston - 1/4/2009

Question
26. When Ace Airlines changed to planes that flew 100 km/h faster than its old ones, the time of its 2800 km Dallas-Seattle flight was reduced by 30 minutes.  Find the speed of the new planes.

a.) 800 km/h       b.) 700 km/h

c.) 1,000 km/h     d.) 600 km/h



27. Elizabeth drove half the distance of a trip at 36 mph.  At what speed should she cover the remaining half in order to average 45 mph for the entire trip?

a.) 60 mph          b.) 51 mph

c.) 56 mph          d.) 62 mph



28. The formula, A = P + Prt, can be used to find the amount of money (A) in a savings account, where P is the initial deposit, r is the interest rate, and t is the time in years.  Jonathan deposits $400 into a new savings account with an interest rate of 3%.  He makes no other deposits or withdrawals.  How much money, in dollars, will Jonathan have in the account after 1 year?

a.) $400.00       b.) $390.25

c.) $412.00       d.) $300.50



29. The formula, d = vt + 0.5at2, can be used to find the distance (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and a represents the acceleration, in meters per second squared.  A bicycle traveling at a velocity of 4.5 meters per second accelerates down a hill at a constant rate of 0.4 meters per second squared for 12 seconds. What is the distance, in meters, that the bicycle travels?

a.) 83m     b.) 78m

c.) 80m     d.) 74m



30. While on a business trip to France, Bob felt ill.  The hotel manager gave him a thermometer which measured his temperature in degrees Celsius.  The thermometer read 38 degrees Celsius.  The formula, F = 9/5C + 32, is used to convert temperatures in degrees (C) to degrees Fahrenheit (F).  What is Bob's temperature in degrees Fahrenheit?  Round the answer to the nearest whole number.

a.) 99 degrees F       b.) 100 degrees F

c.) 101 degrees F      d.) 102 degrees F



31. Solve: z^2 + 1  ≥ z + 2
         --------   ------
             6         3


32. Solve: u(u-1) + 1 = u(2 - u)
          ------   -   --------
             2     3      4


33. Solve: 2t(3t + 1) - t + 1 = 1
         -----------   -----   --
              5          2     10


34. 3   =  1
  ----   ----
  u + 2  u - 2



35. 6t^2 - t - 1 = 2
   ------------
     3(t^2 + 1)  

Answer
26. When Ace Airlines changed to planes that flew 100 km/h faster than its old ones, the time of its 2800 km Dallas-Seattle flight was reduced by 30 minutes.  Find the speed of the new planes.

a.) 800 km/h


27. Elizabeth drove half the distance of a trip at 36 mph.  At what speed should she cover the remaining half in order to average 45 mph for the entire trip?

c.) 56 mph (Logic tells me it should be 54, but this was the closest answer)


28. The formula, A = P + Prt, can be used to find the amount of money (A) in a savings account, where P is the initial deposit, r is the interest rate, and t is the time in years.  Jonathan deposits $400 into a new savings account with an interest rate of 3%.  He makes no other deposits or withdrawals.  How much money, in dollars, will Jonathan have in the account after 1 year?

c.) $412.00


29. The formula, d = vt + 0.5at2, can be used to find the distance (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and a represents the acceleration, in meters per second squared.  A bicycle traveling at a velocity of 4.5 meters per second accelerates down a hill at a constant rate of 0.4 meters per second squared for 12 seconds. What is the distance, in meters, that the bicycle travels?

a.) 83m     


30. While on a business trip to France, Bob felt ill.  The hotel manager gave him a thermometer which measured his temperature in degrees Celsius.  The thermometer read 38 degrees Celsius.  The formula, F = 9/5C + 32, is used to convert temperatures in degrees (C) to degrees Fahrenheit (F).  What is Bob's temperature in degrees Fahrenheit?  Round the answer to the nearest whole number.

b.) 100 degrees F


31. Solve: z^2 + 1  ≥ z + 2
        --------   ------
            6         3

z<= -1 or z>=3

32. Solve: u(u-1) + 1 = u(2 - u)
         ------   -   --------
            2     3      4
u=2/3

33. Solve: 2t(3t + 1) - t + 1 = 1
        -----------   -----   --
             5          2     10
t=3/4 or t = -2/3

34. 3   =  1
 ----   ----
 u + 2  u - 2

u=4

35. 6t^2 - t - 1 = 2
  ------------
    3(t^2 + 1)

t = 4/3 or t = -1