AQR Fall exam sample questions - do not interpet these to be the only types of questions on the
exam . Your returned tests/quizzes are best review resource.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1 The scale on a map is 1.6 inches : 32 kilometers. If
By about how much did the number of students
the distance from town A to town B is 1 inch on the
increase from 1998 to 2004?
A about 75 students
map, what is the actual distance from town A to
B
town B?
about 60 students
A 16 kilometers
C about 45 students
B
D about 30 students
20 kilometers
C 32 kilometers
5 Write 0.45% as a fraction.
D 51.2 kilometers
A
2 The expression
describes the
population of a town p years after the year 2000.
B
What is the town’s population in 2010?
A 10,650
B
C
12,250
C 14,250
D 16,250
D
Figure 6-3
6 Evaluate.
8 – 3(4 + 1)3 – 2  3
A 619
B
–373
C 369
D 119
7 Solve 6x – 8y = 56 for y.
A
B
C
3 The line graph in Figure 6-3 shows the number of
students in a certain high school that took AP
German Language from 1995 to 2004.
About how many students took AP German
Language in 1997?
A about 20 students
B
about 30 students
C about 38 students
D about 43 students
4 The line graph in Figure 6-3 shows the number of
students in a certain high school that took AP
Germany Language from 1995 to 2004.
D
8 Solve for w, to the nearest tenth.
A
w = 400
w = 25
C w = 0.1
D w=9
9 What percent of 30 is 10?
A 300%
B
B
30%
C
D
%
10 Which of the following would give the largest
value?
A
B
C
D
A 30% increase followed by a 40% decrease
A 40% increase followed by a 50% decrease
A 50% increase followed by a 60% decrease
A 60% increase followed by a 70% decrease
11
Anna bought a horse for $500 and sold it for
$700. She then bought the horse back for
$600 and sold it again for $800. What do you
think was the financial outcome of these
transactions? The woman …
A
Lost $100
Made $300
C Made $400
D
Made
Made $500
12 Find the value of the 100th term of the given
sequence of numbers: 2, 2+2, 4+2, 6+2, 8+2, …
B
14 Dark Sky Lake has 4,000 fish; 80% of them are
considered “small” and are returned to the lake
when caught. How many small fish must be
removed from the lake so that the percent of
small fish in the lake is reduced to 70%?
A
1333
1033
C 933
D 833
15 Greg is shopping in a large urban department
store with many floors. He enters the store on
the middle floor from a skyway, and he goes
directly to the credit department. After making
sure his credit is good, he goes up three floors
to the housewares department. Then he goes
down five floors to the sporting goods
department. Next, he goes up six floors to the
media department. Finally, he goes down 8
floors to the main entrance to the store on the
first floor at ground level and leaves to go to
another store. How many floors does this
department store have if it has no basement?
B
A
A
100
B
200
C 300
D 400
13 The directions for a number trick are:
Step 1. Think of a number.
Step 2. Multiply it by 8
Step 3. Add eleven.
Step 4. Subtract three.
Step 5.
Divide by
eight.
Step 6. Subtract the number you started
with in Step 1.
What will be the result?
A
B
C
D
seven times the original number
eight times the original number
1
8
13
11
C 9
D 7
16 Suppose you drive to school. If you drive at an
average speed of 50 mph, you arrive 1 min
early for the first bell. If you drive at an average
speed 45 mph, you arrive 1 min late. How
many miles do you live from school?
B
A
B
C
D
12 mi.
13 mi.
14 mi.
15 mi.
17 The air distance from Honolulu to San
Francisco is approximately 2,400 mi. If an
airliner going from Honolulu to San Francisco
has a cruising speed of 450 mph and an
average tailwind of 50 mph, how many miles
from Honolulu will the plane reach its “point
of no return,” that is, its distance from
Honolulu so the time required to return to
Honolulu is the same as the time needed to go
on to San Francisco?
A
B
C
D
1029 mi.
1129 mi
1233 mi.
1333 mi.
18 Write the fraction
20 The US Government entity that publishes
unemployment data is the ___________.
A
State Department
B
Department of Treasury
Department of Commerce
Department of Labor
C
D
21 If a country exports more than it imports, we call that
a ______________.
A
Industrial production Index
B
Trade Surplus
Trade Deficit
D Producer Price Index
22 Write an equation of a line that passes through the
points (–2, 5) and (3, –6).
C
as a percent, to the nearest
A
tenth of a percent.
A 35.3%
B
3.5%
C 2.8%
D 28.3%
19 The table below shows time moving t in seconds and
distance traveled d in meters.
Time Moving
Distance
(s)
Traveled (m)
t
d
1
5
2
20
3
80
4
320
5
1280
Is the relationship of the data in the table above a
direct variation?
A No, the distance increases by 15 each additional
second.
B
No, the distance is multiplied by 4 each
consecutive second.
C Yes, the distance is multiplied by 4 each
consecutive second.
D Yes, the distance increases by 15 each additional
second.
B
C
D
23 The graph below shows the medication dosage of a
medication for different weights of patients.
Which of the following is the slope of the line?
A 10 mg/lb
B
0.10 mg/lb
C 10 lb/mg
D –10 lb/mg
24 The graph below shows the force needed to stretch a
spring to different lengths.
A
B
C
D
For every pound of force applied, the spring
stretches 20 inches.
For every 10 pound of force applied, the spring
stretches one inch.
For every pound of force applied, the spring
stretches one inch.
For every 20 pounds of force applied, the spring
stretches one inch.
Which of the following best describes the meaning
of the slope in the graph above?
Use your graphing calculator
25 A yoga studio wants to convert one room so that classes can be conducted at a temperature of 88°F. Based on the
data below, what would be the cost per week?
a. Enter data using STAT and generate a scatter plot.
b. Use the regression feature of your graphing calculator to find a function (equation) that models the data. Using t for
temperature and c for cost, write the equation (round decimal valures to 2 places):
_____________________________________________
c. Use your model to predict the cost per week (to 2 decimal places, ie dollars and cents) to heat the building to
88°