WorksheetsSemester 2 Final Practice Exam
Total questions: 67
Worksheet time: 3hrs 29mins
Name
Class
Date
1.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
2.
Simplify
x²⁄ ³⋅x¹⁄ ³
x²⁄ ³⋅x¹⁄ ³
a)
2x
b)
x²⁄₉
c)
x
d)
x²
3.
Simplify:
x⁻ ¹⁄ ² ⋅ x⁻¹⁄ ⁴
x⁻ ¹⁄ ² ⋅ x⁻¹⁄ ⁴
a)
-x¹∕ ⁶
b)
x ³∕ ⁴
c)
1∕ x³⁄⁴
d)
x¹∕ ⁸
4.
Simplify
(x²⁄ ³)²⁄ ⁵
(x²⁄ ³)²⁄ ⁵
a)
x⁴∕ ¹⁵
b)
x¹⁶∕ ¹⁵
c)
x⁶
d)
6x
5.
Evaluate 45/2
a)
32
b)
16
c)
8
d)
2
6.
f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).
g(x) = 5x-7
Find f(x)+g(x).
a)
14x-10
b)
-8x+2
c)
2x+2
d)
2x-2
7.
f(x) = x2+9
g(x) = x-9
Find f(x)-g(x).
g(x) = x-9
Find f(x)-g(x).
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
8.
f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
g(x) = x+3,
Find f(x) * g(x)
a)
4x2+24
b)
4x2+20x+24
c)
4x2+12x+24
d)
4x2+4x+24
9.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
10.
p(x) = 3x + 4
q(x) = 2x2
Find p(q(x))
q(x) = 2x2
Find p(q(x))
a)
10x2
b)
18x2 + 4
c)
6x2 + 4
11.
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?
a)
$827.52
b)
$831.10
c)
$839.45
d)
$846.80
12.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
13.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
14.
Is this exponential growth or decay?
a)
Growth
b)
Decay
15.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
16.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
17.
Write the following equation in logarithmic form:
35 = 243
35 = 243
a)
log35 = 243
b)
log2433 = 5
c)
log5243 = 3
d)
log3243 = 5
18.
Write the following equation in exponential form:
log232 = 5
log232 = 5
a)
25 = 32
b)
232 = 5
c)
52 = 32
d)
322 = 5
19.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
20.
Evaluate the log:
log3(1/9) =
log3(1/9) =
a)
1/2
b)
2
c)
-2
d)
3
21.
Rewrite as a single log:
4 log g - 2 log h
4 log g - 2 log h
a)
log (4g/2h)
b)
log (g4/h2)
c)
log (g4 - h2)
d)
log (2gh)
22.
Express as a single logarithm.
Log69 + Log624
a)
Log6216 = 3
b)
Log633 ≈ 1.95
c)
Log6(8/3) ≈ 1.16
d)
Log6216 = 36
23.
23n = 4
a)
2
b)
3
c)
2/3
d)
4
24.
Solve for x using the graphing calculator:
8x+1= 3
8x+1= 3
a)
0.528
b)
0.893
c)
-0.472
d)
1.893
25.
log3(x + 5) = 2
a)
x = 14
b)
x = 4
c)
x = 11
d)
x = 6
26.
Simplify.
a)
3e4
b)
9/3e4
c)
3e7/3
d)
54e10
27.
Solve for x:
5 e6x+3 = 0.1
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
28.
What is the Vertical Asymptotes?
a)
x= -5
b)
x= 5
c)
x= 6
d)
x= -6
29.
What is the Horizontal Asymptote?
a)
y= 5
b)
y= -6
c)
y= 1
d)
y= 5/-6
30.
What is the X-Intercept?
a)
(0, 0)
b)
(4, 0)
c)
(5, 0)
d)
(-5, 0)
31.
What are the asymptotes?
a)
x=-3, y=1
b)
x=3, y =1
c)
x=-3, y =-1
d)
x=3 y=-1
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
-1
b)
0
c)
4
d)
None
34.
Simplify.
a)
(m+6)/(m-3)
b)
7/(m-3)
c)
7(m+6)
d)
(m-3)
35.
Multiply and Simplify
a)
(n-10)/8n+56
b)
(n-10)(n+7)/8n+56
c)
(n-10)/8
d)
(n+10)/8
36.
Divide and Simplify
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
Solve by cross-multiplying
a)
x = 6
b)
x = -6
c)
x = 6/7
d)
x = -6/7
40.
Solve
a)
A.
b)
B.
c)
C.
d)
D.
41.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
42.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
43.
A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower
a)
18.01 m
b)
29.89 m
c)
13.38 m
d)
22.21 m
44.
What is 240 degrees in radians?
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
45.
What is 4π/3 radians in degrees?
a)
120
b)
240
c)
210
d)
270
46.
find X
a)
52
b)
33
c)
41
d)
29
47.
Find BC
a)
A
b)
B
c)
C
d)
D
48.
Find the area to the nearest tenth.
a)
A
b)
B
c)
C
d)
D
49.
a)
y = sin x
b)
y = - sin x
c)
y = cos x
d)
y = - cos x
50.
a)
y = sin x
b)
y = - sin x
c)
y = cos x
d)
y = - cos x
51.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
52.
What is the period?
a)
4π
b)
2π
c)
π
d)
8π
53.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
54.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
55.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
56.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
57.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile (UQ) of the data?
What is the third quartile (UQ) of the data?
a)
37
b)
38
c)
40
d)
46
58.
Find the lower quartile of the following set of scores12, 9, 4, 6, 5, 8, 9, 4, 10, 2
a)
10
b)
4
c)
9
d)
6
59.
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
a)
6.89
b)
10.1
c)
7.26
d)
9
60.
Determine the type of sampling used in the following scenario: Divide students into freshmen/sophomores and juniors/seniors and then conduct a survey about the amount of time spent studying.
a)
Systematic
b)
Simple Random
c)
Cluster
d)
Stratified
61.
Determine the type of sampling used in the following scenario: Randomly generate 5 area codes from the state of New York and count the number of high school students for each high school in the area code region.
a)
Systematic
b)
Simple Random
c)
Cluster
d)
Stratafied
62.
Determine the type of sampling used in the following scenario: A psychologist uses a computer program to randomly select names from a list of students at a university. The members of the sample will take a survey about student housing at the university.
a)
Convenience
b)
Self-Selection
c)
Systematic
d)
Random
63.
Determine the type of sampling used in the following scenario: Ms. Dubovik samples her class by selecting every third person on her class list. Which type of sampling method is this?
a)
Simple
b)
Systematic
c)
Stratified
d)
Cluster
64.
Adam's Z-score on a test is +2.5. What does this mean?
a)
He'd better start studying.
b)
He did better than EVERYONE.
c)
He scored 2.5 standard deviations above the average.
d)
He did terrible.
65.
If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score?
a)
-1.25
b)
+1.25
c)
+1.20
d)
+1.02
66.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
67.
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?
a)
81.5%
b)
47.5%
c)
68%
d)
95%
100 %
