Name _____________________________________________________________________________________
2nd Semester Exam Review
Chapter 6
1.
A typing service keeps data on the number of pages in a manuscript and the length of
time (in hours) it takes to complete the typing. The least squares regression line for the
data is given by y = 20 + 0.273x. Use this to predict the length of time needed to type a
40-page manuscript.
2.
The least squares regression equation y = 50 + 0.1x gives the yield in bushels per acre of
corn when x pounds of fertilizer are applied. Predict the yield for a farmer who plans to
use 320 pounds of fertilizer.
3.
To determine the effectiveness of group study sessions, a college instructor gathers data
on hours of attendance and exam scores for students in the class. Which variable,
hours of attendance or exam scores, would be the response variable (y) for a leastsquares regression equation?
4.
A university admissions counselor wishes to predict the performance of freshmen by
considering their SAT scores. Which variable, freshman GPA or SAT score, would be the
explanatory variable (x) in a least squares regression equation?
5.
A shopping mall is having trouble with shoplifting in several of its stores. For the variables
representing the number of security guards on patrol and the number of shoplifting
incidents, what would be the correlation between number of security guards and the
number of shoplifting incidents?
6.
A marketing company conducted a survey of college students to obtain data for an
advertising campaign. They selected 1421 students randomly from campus directories
of 132 colleges and universities. The students in the directories at the 132 colleges and
universities represent which variable?
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Chapter 7
7.
A poll of 80 students selected at random at Midtown University found that 20 were in
favor of a fee increase to support extra maintenance of gardens on campus. In the
example, what is the sample proportion?
8.
Five people need to be selected from the list of names below.
Agee
Boyd
Clayton
Dillon
Genz
Harris
Hayes
Herndon
Hogan
Jensen
Jones
King
Lewis
Martin
Millham
Rao
Riggins
Ruse
Smith
Wallace
Use the following portion of a table of random digits.
134
135
136
137
19862 54700 18777 22218 25414 13151 54954 80615
96282 11576 59837 27429 60015 40388 39435 94021
17463 26715 71680 04853 55725 87792 99907 67156
44880 55285 95472 57551 24602 95311 63293 58110
Starting at line 134 and numbering the names alphabetically beginning with 01, which five
people are selected?
9.
To estimate the proportion of voters in a town likely to favor a tax increase for road
repair, a random sample of people chosen from the voter registration list is surveyed
and the proportion who favors the increase is found to be 43%. The actual proportion in
the town is 40%. This difference is most likely an example of what type of sampling?
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Chapter 8
10.
A die is rolled and a coin is flipped simultaneously. The number rolled on the die and
whether the coin lands heads or tails is recorded. How many outcomes are in the
sample space?
11.
There are seven blue and six black socks in a drawer. One is pulled out at random. Find
the probability that it is black.
12.
Either Terry, Chris, or Kim will attend a party. The probability Terry attends is 0.31 and the
probability Chris attends is 0.5. What is the probability that Kim attends?
Chapter 13
13.
In which quadrant does the terminal side of a 118º angle lie?
14.
Write 320º in radians. Express the answer in terms of π.
15.
Write
3π
radians in degrees.
5
Langan
16.
 3π

 3π

radians  and sin 
radians  .
Find the exact values of cos 
4
4




17.
Find the amplitude of the sine curve shown below.
y
4
2
O

2
3

–2
–4
18.
A particular sound wave can be graphed using the function y = 2 sin 8x. Find the
amplitude and period of the function.
Chapter 14
19.
Simplify the trigonometric expression:
sin  csc 
20.
Use a unit circle and 30°-60°-90° triangles to find the degree measures of the angles
whose sine is
3
2
.
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21.
Solve the equation for 0º ≤  < 360º.
5tan  = 6 − tan 
22.
In ∆XYZ, Y is a right angle and sinX 
14
. Find sin Z in fraction form.
50
X
50
Y
23.
Z
14
Find the angle measure to the nearest tenth of a degree.
cos-1 0.0682
C
24.
Use the Law of Sines to find mC.
69
67°
B
25.
A
72
Use the Law of Cosines. Find mA.
C
17
B
22
30
A
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College Algebra Topics
26.
2
Simplify. 3x2  9x  12
x  x  20
Do the indicated operation.
27.
29.
x 2  8x  9
x 2  3x
2
2
x  2x  3 x  13x  36
Solve the equation.
28.
3  2x
x2  x 3x  3
31.
3 28  2 7
6  3
5x 20
Simplify.
30.
32.
24x 4 y11
1 3 2  5 3 
33.
1 2
3 2
Langan
Graph the following functions.
34
y = -|x – 3| + 2
35.
y
36.
y 2 x4 3
2
1
x  1  2

2
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