Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.


1.

Which
is equivalent to ?


2.

Vicki
works in a store at the Valley View Mall in Roanoke. She started her job on November 1, 2002, at an
hourly wage of $6, and receives a 3% raise every 6 months. If she keeps this job, what will be her
hourly wage on July 1, 2006?
a.  $6.96  c.  $7.38  b.  $7.16  d.  $7.60  





3.

If
a, b, and c are positive real numbers, which equation could be represented by
this graph?


4.

Which
equation has solution set ?


5.

Which
could be an equation for this graph?


6.

Which
is equivalent to ?


7.

What
is the solution set for this system of equations?
a.  {1,
5}  c.  {(0, 1), (4,
5)}  b.  {0,
4}  d.  {(1, 0), (5,
4)}  





8.

Which
is the completely factored form of ?


9.

Which
function is the inverse of ?


10.

Matrix P shows the admission prices at the Science Museum of Virginia in
Richmond.
Suppose matrix F gives the number of people in
each age category for two family groups that are visiting the museum
today.
If the Jones family bought tickets to see the exhibits
only and the McKay family bought tickets to see both the exhibits and the film, what is the
total amount that these two families spent on admission?
a.  $78.00  c.  $126.50  b.  $116.50  d.  $144.00  





11.

How
many real solutions does
have?


12.

Which
equation has no real solutions?


13.

The
time needed to remove litter from a park varies directly as the area of the park and inversely as the
number of workers. If it takes 4 hours for 5 workers to remove litter from a 120acre park, how long
will it take for 8 workers to remove litter from a 200acre park?
a.  2 h 30
min  c.  5 hr 36
min  b.  4 h 10
min  d.  6 h 40
min  





14.

Which
is the graph of a polynomial function with no real solutions?


15.

Which
graph shows the solution set for ?


16.

What
is the value of ?


17.

Which
function has a graph with xintercepts
and 4?


18.

Which
matrix equation is equivalent to this system of equations?


19.

Which
could be the graph of ?


20.

Which
represents in the standard form a +
bi?


21.

If
, , and , which product is not
possible?
a.  P
´
R  c.  P
´
P  b.  S ´ P  d.  R ´ P  





22.

Which
equation describes a hyperbola with vertices
and asymptotes ?


23.

What
property is illustrated by the following statement?
If x =
y and y = z, then x = z.
a.  Distributive
Property  c.  Symmetric
Property of Equality  b.  Reflexive Property of Equality  d.  Transitive Property of Equality  





24.

Which
inequality has the empty set as its solution set?


25.

If
the domain of
is {^{–}3, ^{–}1, 1, 3}, what is the range?
a.  {16,
36}  c.  {0, 4, 16,
36}  b.  {4, 16,
36}  d.  {0, 4, 14,
18}  





26.

By
simply examining , which set includes all of the numbers that cannot be solutions of the
equation?
a.  {^{–}5, 0, 5}  c.  {0}  b.  {^{–}5, 5}  d.  {5}  





27.

What
is the simplest form of ?


28.

Which
graph shows the solution set for ?


29.

Which
equation shows that f is directly proportional to the square of d and inversely
proportional to the square root of e?


30.

Ashley and Marita went shopping at the Spotsylvania Mall in Fredericksburg. Their
favorite store was having a sale where all sweaters were one price and all jeans were another price.
Not including sales tax, Ashley paid $102 for 3 sweaters and 2 pairs of jeans, while Marita paid $96
for 4 sweaters and 1 pair of jeans. If x represents the price of a sweater and y
represents the price of a pair of jeans, which matrix equation can be used to find the price for each
sweater and the price for each pair of jeans?


31.

What
is the solution set for ?


32.

Which
is a factor of ?
a.  (2x
– 3)  c.  (4x
+
3)  b.  (4x +
1)  d.  (4x
– 1)  





33.

A
parking garage charges $5 for the first hour and $1.75 for each additional halfhour or portion of a
halfhour. Which graph best represents this situation?


34.

Which
type of function would best fit the data in this scatterplot?
a.  exponential  c.  logarithmic  b.  linear  d.  quadratic  





35.

Which
system of inequalities best represents this graph?


36.

Which
is equal to ?


37.

What
is another way to write ?


38.

If an
object is dropped from a height of h_{0} feet, its height h (in feet) after
t seconds is given by the equation . The Sun Trust building in Richmond is 400 feet tall. If a ball is dropped from the top
of this building, how long will it take the ball to hit the ground?
a.  25.0
s  c.  2.5
s  b.  5.0
s  d.  2.2
s  





39.

This
is the graph of a polynomial function h. Which appears to be the solution set of
h(x) = 0?
a.  {^{–}2}  c.  {3}  b.  {^{–}2, 3}  d.  Æ  





40.

The
figure shows the graph of a system of equations. How many realnumber solutions does the system
have?


41.

Since
2000, Virginia’s population has been increasing by about 1.3% per year. What type of function
best models this situation?
a.  exponential  c.  logarithmic  b.  linear  d.  quadratic  





42.

If
a, b, c, and d are distinct real numbers, which matrix is the additive
inverse of ?


43.

The
chart shows the number of students enrolled in mathematics classes at Northwest High School in
September for several recent years. Assuming a linear relationship, which is the best estimate of the
number of students who were enrolled in mathematics classes in September,
2004?
Year  2000  2001  2002  2003  Number of
Students  1,250  1,322  1,405  1,483  




a.  1,170 students  c.  1,510 students  b.  1,200
students  d.  1,560
students  





44.

Which
type of function is shown here?
a.  exponential  c.  quadratic  b.  logarithmic  d.  rational  





45.



46.

The
function models the cost C, in thousands of
dollars, to remove x% of the pollutants from a lake. What percentage of the lake’s
pollutants can be removed if $50,000 is budgeted?


47.

Which
function is represented by the graph?


48.

Which
describes the graph of ?
a.  circle  c.  hyperbola  b.  ellipse  d.  parabola  





49.

Which
equation most closely fits the data in this scatterplot?


50.

The
VHR Company makes replicas of historic sites in Virginia. Its two best selling replicas are of Mount
Vernon and Monticello. The company makes a profit of $8 on each replica of Mount Vernon and $10 on
each replica of Monticello. To use linear programming to maximize profit, the company’s
financial officer developed this feasible region from the constraints on the company’s resources
and the pattern of demand for these replicas. The number of Mount Vernon replicas to be made each
week is represented by x and y represents the number of Monticello replicas to be made
each week. How many of each replica should the company make each week in order to maximize the
profit?
a.  200 Mount Vernon
replicas, 0 Monticello replicas  b.  150 Mount Vernon replicas, 50 Monticello
replicas  c.  100 Mount Vernon replicas, 100 Monticello
replicas  d.  50 Mount Vernon replicas, 100 Monticello
replicas  

