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This is just a a random collection of sample questions and not a complete
list. Please study all your lesssons, notes, and assessments from Chapters 1-4. If you have any
questions, please let me know. I am always happy to help:)))))
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Simplify the expression. Write your answer using only positive
exponents.
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2.
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Solve the equation.
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3.
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Factor the polynomial completely.
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4.
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5.
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The graph of  is shown. Use the graph to identify the
factors of  . 
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6.
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Simplify the expression. 
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7.
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Perform the indicated operations and simplify. 
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8.
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Simplify the rational expression. 
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9.
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Determine whether the given value is a solution of the equation. 
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10.
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Solve the linear inequality. Express the solution using interval notation and
graph the solution set. 
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11.
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Write an equation that expresses x as it varies inversely as
F.
The symbols a, b, c, and d are constants.
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12.
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Express the statement as an equation. Use the given information to find the
constant of proportionality. t is jointly proportional to x and y and
inversely proportional to r. If  ,  , and  ,
then  .
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13.
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Evaluate the function f (x) = 5x2 + 4 x
– 5 at f (5).
a. | f (5) = 145 | b. | f (5) = 147 | c. | f (5) =
140 | d. | f (5) = 150 | e. | f (5) =
136 |
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14.
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Select the correct graph of the following function: 
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15.
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The graph of a function is sketched below.  Determine the interval on which the function is decreasing. a. |  | b. | [1,
3] | c. | [–1, –1] | d. |  | e. | [–3,
–1] |
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16.
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The graph of a function is given below. What is the average rate of change of
the function between the indicated values of the variable? 
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17.
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A function is given. Determine the average rate of change of the function
between the values of the variable. 
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18.
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Explain how the graph of g is obtained from the graph of
f. 
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19.
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Calc-Allowed: The number of apples
produced by each tree in an apple orchard depends on how densely the trees are planted. If n trees
are planted on an acre of land, then each tree produces 720 – 8 n apples. So the number
of apples produced per acre is   How
many trees should be planted per acre in order to obtain the maximum yield of
apples? __________ trees per acre
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20.
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Use the given graphs of f and g to evaluate g ( f
(5)). 
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21.
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Use the given graphs of f and g to evaluate the
expression.  
__________
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22.
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Find the inverse function of  .
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23.
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Sketch the graph of the function.
P(x) = (x –
3)(x + 4)
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24.
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Calc-Allowed: Graph the polynomial  . (a) From the graph, determine how many local maxima the polynomial
has. (b) From the graph, determine how many local minima the polynomial has.
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25.
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Find the polynomial  of the degree 3 whose graph is
shown. 
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26.
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Find all rational zeros of the polynomial. 
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27.
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Find the intercepts and asymptotes of the rational function  .
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28.
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The rabbit population on Mr. Jenkins' farm follows the formula:  . For this formula, t > 0 is the time in months since the beginning of the year.
What is the eventual population of rabbits? a. | 4500 rabbits | b. | 5750 rabbits | c. | 5000
rabbits | d. | 5500 rabbits | e. | 6000 rabbits |
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29.
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Calc-Allowed: A drug is administered to a
patient and the concentration of the drug in the bloodstream is monitored. At time t > 0 (in hours
since giving the drug), the concentration (in mg/L) is given by the equation:  . Graph the function c with a graphing device. What is the highest
concentration of the drug?
a. | 14.5 mg/L | b. | 11.5 mg/L | c. | 13.5
mg/L | d. | 12.5 mg/L | e. | 15.5 mg/L |
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30.
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Sketch the graph of the function by making a table of values. Use a calculator
if necessary. 
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31.
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Calc-Allowed: Radioactive iodine is used by
doctors as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such
a way that the mass remaining after t days is given by the function 
where is measured in grams. (a) Find the mass at time  . Please
round the answer to the nearest integer. m(0) »
__________ grams (b) How much of the mass remains after 20 days? Please round the
answer to the nearest integer. m(20) » __________
grams
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32.
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Calc-Allowed: A sky diver jumps from a
reasonable height above the ground. The air resistance she experiences is proportional to her
velocity, and the constant of proportionality is 0.4. It can be shown that the downward velocity of
the sky diver at time t is given by  where t is measured in seconds and
v(t)is measured in feet per second (ft/s).  (a) Find the
initial velocity of the sky diver. Please give the answer to one decimal place. v(0) =
__________ ft/s (b) Find the velocity after 5 s. Please give the answer to one decimal
place. v(5) = __________ ft/s (c) Find the velocity after 9 s. Please
give the answer to one decimal place. v(9) = __________ ft/s (d) The
maximum velocity of a falling object with wind resistance is called its terminal velocity.
From the graph of v(t) find the terminal velocity of this sky diver. Please give the answer to
one decimal place. The terminal velocity = __________ ft/s
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33.
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Use the definition of the logarithmic function to find x. 
x = __________
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34.
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Find the function of the form  whose graph is
given. 
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35.
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Use the Laws of Logarithms to expand the expression. 
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36.
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Calc-Allowed: Find the solution of the
exponential equation, correct to four decimal places. 
a. | x = –51.679 | b. | x = 51.679 | c. | x =
1.6 | d. | x = –1.6032 | e. | x =
0.625 |
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37.
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Calc-Allowed: How long will it take for an
investment of $1,000 to double in value if the interest rate is 7.5% per year, compounded
continuously?
a. | none of these | b. | 14.65 years | c. | 0.09
year | d. | 14.39 years | e. | 9.24 years |
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38.
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Solve the logarithmic equation for x. Please round the answer to four
decimal places, if necessary.  x = __________
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