Worksheets[Algebra 2] Final Exam Review (Sem 2)
Total questions: 40
Worksheet time: 9hrs 6mins
Name
Class
Date
1.
Simplify.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
x = −2/3
b)
x = 6/7
c)
x = −4
d)
x = 4
5.
a)
It is a radical function
b)
The function has been shifted left 3, up 2
c)
There is a vertical asymptote at x = 3
d)
There is a horizontal asymptote at y = 3
6.
a)
All Real #s; x ≠ 1
b)
All Real #s; x = −1
c)
All Real #s; x ≠ -2
d)
x ≠ −2
7.
a)
All Real #s; x ≠ 1
b)
All Real #s; x = −1
c)
All Real #s; x ≠ -2
d)
x ≠ −2
8.
a)
It is a radical function
b)
The function has been shifted left 3, up 2
c)
There is a vertical asymptote at x = 3
d)
There is a horizontal asymptote at y = 3
9.
What is the GCF?
2x2 - 4x + 8
2x2 - 4x + 8
a)
2x
b)
2
c)
x
d)
1
10.
a)
A
b)
B
c)
C
d)
D
11.
Re-Write the Exponential Equation into Logarithmic Form
x-z = 1/32
x-z = 1/32
a)
logx(1/32) = -z
b)
logx(1/32) = z
c)
logx(-z) = 1/32
d)
logz(1/32) = -x
12.
Re-Write the Exponential Equation into Logarithmic Form
5x = 625
5x = 625
a)
x = log5625
b)
log5x = 625
c)
5 = logx625
d)
log5x = 625
13.
Evaluate the Logarithm: log4(1/256)
a)
4
b)
-4
c)
64
d)
-64
14.
a)
log8(a2/cb3)
b)
log8(ca2/b3)
c)
log8(a2cb3)
d)
log(a2 − c − b3)
15.
a)
5log6(a) + 6log6(c) − 30log6(b)
b)
log6(a) + 6log6(c) − 5log6(b)
c)
6log6(a) − 6log6(c) − 30log6(b)
d)
6log6(a) + 6log6(c) − 30log6(b)
16.
Log with a base "e" (loge) is the same thing as...
a)
"e"
b)
Natural Logarithm (LN)
c)
Common Logarithm (Log)
d)
Natural Log, base "e"
LNe
LNe
17.
Solve the Equation
a)
n = -1.12
b)
n = -1.16
c)
n = -0.64
d)
n = -2.10
18.
Solve the Equation
a)
k = 3.39
b)
k = 2.60
c)
k = 2.58
d)
k = 3.02
19.
a)
log3(a36 − b6)
b)
log3(a36 + b6)
c)
log(a36b6)
d)
log3(a36/b6)
20.
What is the base of the logarithm:
log(100) = 2 ?
log(100) = 2 ?
a)
2
b)
10
c)
e
d)
50
21.
Is this exponential growth or decay?
a)
Growth
b)
Decay
22.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
23.
List the domain for the following.
a)
x > -2
b)
All Real #s
c)
x < -2
d)
x > 2
24.
Find the y-intercept for the following.
a)
None
b)
(0, 8)
c)
(0, 6.39)
d)
(0, 9.61)
25.
a)
$75,124
b)
$86,114
c)
$96,354
d)
$106,651
26.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
27.
a)
3.83%
b)
1.91%
c)
2.13%
d)
8.33%
28.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
29.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
30.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the percentage increase of the population annually?
a)
720,500%
b)
102.2%
c)
2.2%
d)
22%
31.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
x + y = 21
6x + 4y = 104
a)
(10, 11)
b)
(12, 9)
c)
(11, 10)
d)
(9, 12)
32.
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?
a)
x + y = 15
4x + 2y = 44
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
x + y = 44
c)
x = 2y + 44
4x = y + 15
4x = y + 15
d)
2x - 4y = 44
x - y = 15
x - y = 15
33.
a)
A
b)
B
c)
C
d)
D
34.
Write the inequalities represented in the picture.
a)
y > -4/5x - 1 and y ≤ 2/3x + 3
b)
y ≥ -4/5x - 1 and y ≤ 2/3x + 3
c)
y < -4/5x - 1 and y < 2/3x + 3
d)
y < -4/5x - 1 and y ≥ 2/3x + 3
35.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
36.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.
a)
35 nachos, 52 sodas
b)
18 nachos, 69 sodas
c)
52 nachos, 35 sodas
d)
61 nachos, 26 sodas
37.
a)
(-3, 0)
b)
(0, 3)
c)
(3, 0)
d)
(0, -3)
38.
Carol has a colony of bees that produced 17 pounds of honey in the first year. As the colony grows, it produces 5.125% more honey each year. Determine the total amount of honey that is produced by the colony after the 6th year.
a)
116
b)
18
c)
74,673
d)
17
39.
a)
A
b)
B
c)
C
d)
D
40.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
100 %
