Project #2780 - mid term exams

Please i need help doing my algebra homework.

 

 

A.        Simplify

 

1.         14 + 5(x – 2) when x = 7                    2.         6x – 4[3x + 2( – 7x) – 1]

 

3.         (6x4y5)(3xy2)                                       4.         (1.5 * 109)(2.3 * 10-3)

 

5.         √(200x8y9)                                           6.         (3x2 + 6x – 5) – (2x2 +7x - 1)

 

B.        Expand

 

7.         (x - 5)(x + 4)                                        8.         (2x + 5y)2

 

C.        Factor Completely    

 

9.         8x3 – 27y3                                            10.       16x4 – 81

 

D.        Solve for the variable

 

11.       x2 – 36 = 0                                           12.       x2 - 5x – 24 = 0

 

13.       4x - 5 = 15                                           14.       6x3 + 24x2 = 0

 

15.       5x - 10= -3x + 22                               16.       5x2 + 10 = 40

 

17.       -5x - 4 < 16                                         18.       -5 < 2x + 5 ≤ 13

 

19.       ?? 2x + 4?? > 3                                     20.       f(x) = x3 – 2x2 - 25, find f(5)

 

 

 

21.       The formula A = 15.9 e0.0235t models the population growth of Florida in millions of residents after the year 2000.  If the model continues, how many Floridians will there be in 2040?

 

 

 

E.        Use the slope formulas to solve the following problems

 

 

 

22.       Find the slope of the line between the points (-2, -7) and (4, -11).

 

23.       Find the equation of the line with a slope of 2/3 running through (9, -7).

 

24.       Find the equation of the line running through the points (2, 3) and (4, -1)

 

25.       Find the equation of the line passing through (2, 8) parallel to y = ½ x + 5

 

26.       Describe annual rate of increase (per year) if your salary went from $32,000 to $46,000 in 5 years.

 

F.         Parabolas

 

27.       Describe the transformation for the parabola from y = x2 to y = (x - 4)2 + 5.

 

28.       What is the vertex of f(x) = (x - 5)2 + 9

 

29.       What is the vertex of f(x) = 2x2 – 16x + 9

 

 

 

G.        Exponential functions (round to four decimal places)

 

30.       326 -1.5                                                

 

31.       e3

 

32.       If your 401K is earning 3.25% and pays monthly, how much will your $80,000 balance be worth in 15 years?

 

 

 

H.        Logarithms

 

33.       Change:  3 = logb 37 to exponential form

 

34.       Change 8y = 5 to logarithmic form

 

35.       Use your calculator to find log 3 12,504 and round to four decimal places

 

36.       Use your calculator to evaluate ln 7367 and round to four decimal places.

 

37.       Expand: log(x5y8/z4)

 

38.       Condense: 2 ln x + 3 ln y – ½ ln z

 

I.          Solve for the unknown

 

39.       32x+3 = 243                                          

 

40.       3 ln x - 2 = 16

 

 

 

Extra Credit

 

 

 

            The population of the US was 203.3 million in 1970 and has grown exponentially to 281.4 million in 2000. 

 

 

 

a.         What is the exponential rate of growth to four decimal places?

 

b.         What is the predicted population of the US in 2050 if the trend continues?

 

 


Subject Mathematics
Due By (Pacific Time) 02/28/2013 06:00 pm
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