(Questions courtesy of
Chesterfield County Public Schools) Multiple Choice Identify the choice that best completes the statement or answers
the question.


1.

Simplify the expression
completely.


2.

Simplify completely.


3.

If is
the sum of two complex numbers, and one of the binomials is , which of the
following represents the other binomial?


4.

Simplify the algebraic
expression completely.


5.

Simplify the algebraic
expression completely.


6.

Which of the following is a
factor of ?


7.

Simplify .


8.

Which of the following are equivalent to ?
a.  II only  b.  I and IV only
 c.  III and V only  d.  II, IV and V only 


9.

Determine all expressions
equivalent to .
a.  I, II and IV
only  b.  I, III and V only  c.  III and V only  d.  III only 


10.

Simplify
completely


11.

Which of the following
expressions correctly illustrates the Inverse Property of
Multiplication?


12.

Simplify completely.


13.

Perform the indicated
operation and simplify .


14.

Solve .


15.

The graphs of functions
f(x) and g(x) are shown in the
graph to the right. How many solutions does the system have?


16.

Solve
over the real numbers.


17.

Solve .
a.  {
}  b.  {17}  c.  {– 17}  d.  {– 11, 17} 


18.

Solve


19.

Solve


20.

A garden is currently 4
meters wide and 7 meters long. If the area of the garden is to be doubled by increasing the
width and length by the same number of meters, find the new dimensions of the
garden.
a.  6.1 m x 9.1
m  b.  6 m x 9.3
m  c.  6.2 m x 9
m  d.  8 m x 14
m 


21.

Which of the following is a solution for the system
?


22.

Which of the following is
the solution of ?


23.

Determine the solution set
for the system graphed.


24.

Which of the following
represents the solution to ?


25.

Solve


26.

A car is traveling at 26
meters per second (m/sec) begins to decelerate at 13
m/sec. After traveling 26 m, the driver brings the car to a complete stop. The
equation
can be used to represent the situation, where t
is the time it takes to stop. How long did it take the driver to
stop the car?
a.  0.8
seconds  b.  2 seconds  c.  6.5 seconds  d.  10.7 seconds 


27.

The population of a state is
counted every ten years. In the table, populations are given for
every twenty years. At the rate the state is growing, what would be the best estimate for the
population in the year 2020?
Year  population (to nearest
1000)  1800  478,000  1820  639,000  1840  753,000  1860  993,000  1880  1,400,000  1900  1,894,000  1920  2,559,000  1940  3,572,000  1960  4,556,000  1980  5,880,000  2000  8,049,000   
a.  6, 970,
000  b.  10, 600, 000  c.  16, 000, 000  d.  100, 600, 000 


28.

Evaluate
.


29.

Which of the following best describes the parent function of
?


30.

Determine the intervals on
which the function is decreasing.


31.

Simplify in
terms of x if and .


32.

Determine which function has
a range .


33.

If you drop a ball and let
it bounce repeatedly, the rebound height becomes smaller with each bounce. Using an initial
height of 300 inches, the formula for finding the rebound heights can be modeled by
for . What is the approximate rebound
height for , the 4^{th} bounce?
a.  2
inches  b.  13 inches  c.  50 inches  d.  75 inches 


34.

Determine all possible functions with an asymptote .
a.  I and
III  b.  II and V  c.  III and IV  d.  IV and VI 


35.

Describe the end behavior of
.
a.  As x approaches infinity, f(x) approaches negative
infinity. As x approaches negative infinity, f(x) approaches
infinity.  b.  As x approaches infinity, f(x) approaches infinity. As x approaches negative infinity,
f(x) approaches negative infinity.  c.  As x approaches
infinity, f(x) approaches negative infinity. As
x approaches negative infinity, f(x) approaches negative infinity.
 d.  As x approaches
infinity, f(x) approaches infinity. As x approaches negative infinity, f(x) approaches
infinity.



36.

Which of the following
scenarios represents a combination?
a.  The arrangement of 8 books on a
shelf.  b.  The number of ways 6 people can be seated at a round table if 2 people must
be seated next to each other.
 c.  The letters r,s,t,v,w
are used to form 5letter passwords for a security system.  d.  A seven person committee selected from the junior
class. 


37.

The electrical resistance of
a wire varies directly as its length and inversely as the square of
its diameter. A wire with a length of 200 inches and a diameter of onequarter of an inch has a
resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same
diameter.
a.  50
ohms  b.  200 ohms  c.  1250 ohms  d.  5000 ohms 


38.

A race car driver increases
her speed at a constant rate. What will be her speed after 20 seconds if her initial speed is
17 meters per second and her rate of acceleration is meters per second?
a.  37.0 meters per
second  b.  57.0 meters per second  c.  59.2 meters per second  d.  61.4 meters per
second 


39.

The useful life of a radial
tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000
miles. The company makes 10,000 tires a month. What is the probability that if a radial
tire is purchased at random, it will last between 20,000 and 35,000
miles?


40.

Identify all
x and y intercepts of .


41.

A polynomial function
P(x) has zeros . Which of the following
represents the factors of P(x)?


42.

The weights of eggs produced
on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4
ounces. To be graded extra large, an egg must weigh at least 2 ounces. What is the
probability that an egg from this farm will be graded extra large?
a.  0.934  b.  0.157  c.  0.066  d.  0.025 


43.

Determine the zeros of .


44.

Identify the domain of
.


45.

Determine the inverse of


46.

Identify the equation that
best represents the graph p(x).


47.

Twelve runners are in a
cross country race. How many different ways can they finish first, second, and
third?


48.

If a temperature is
constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150
pounds per square inch occupies a volume of 25 cubic feet. What is the constant of
proportionality for this variation?
a.  3750  b.  673  c.  6  d.  


49.

Determine the number of
horizontal and vertical asymptotes for


50.

At 1,821 feet tall, the CN
Tower in Toronto, Ontario, is the world’s tallest selfsupporting structure. A penny is
dropped from the observation deck on top of the tower and falls to the ground. The table shows
the penny’s distance from the ground after various periods of
time (in seconds) have passed. Where is the penny located after falling for a total of 10.5
seconds?
Time
(seconds)  Distance (feet)  0  1821  2  1757  4  1565  6  1245  8  797  10  221   
a.  57
feet  b.  140 feet  c.  221 feet  d.  300 feet 
