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Algebra 2 Semester 2 Review Flashcards | StudBud
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Algebra 2 Semester 2 Review
Algebra 2 Semester 2 Review
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1
Why do we learn about logarithms?
They are the inverses of exponentials
They have no purpose & never used in upper levels of math
The alignment to the common core is the only reason
They help us with rewriting exponential equations
2
If y varies directly as x and y = 4 when x = 8, find y when x = 20.
6
10
40
8/5
3
Find the z-value if μ = 9, σ = 1.2, and X = 8.
-.756
.975
.833
-.833
4
What is your favorite subject?
Math
Lunch
Ms. Robole's Class
Algebra 2
5
What is the Unit Circle?
A circle with an area of 1
A circle with a circumference of 1
A circle with radius 1
A circle with diameter 1
6
What percent of a normal distribution is between +/- 2 standard deviations?
95%
99.7%
100%
68%
7
Dividing rational expressions
-1/k-8
-4/k-2
8
θ is used in trigonometry, but what is the name of θ?
Keta
Eta
Meta
Theta
9
The graph of a rational function has at most ______ horizontal asymptotes.
none
one
there is no limit
two
10
On a unit circle, what are the coordinates of a 180
o
angle?
(-1,0)
(0,-1)
(1,0)
(0,1)
11
Multiplying rational expressions
4/x+5
7/x-5
12
What phrase to remember the trigonometry functions
SAH-COA-TOH
SCT-OHO-HHA
SOH-CAH-TAO
SOH-CAH-TOA
13
Using the unit circle. Y=...?
cos
NO
sin
tan
14
The tangent function has an amplitude.
False
True
15
What type of triangle is trigonometry used for?
right angle
circle
isosceles
equilateral
16
Simplify: cot θ sec θ
cot θ
tan θ
csc θ
sec θ
17
Expand the following logarithms.
log259049
5log9
5log29
log109
18
What is the length of the radius on a unit circle?
½
1
2
¼
19
Simplify rational expressions
x+4/x+3
x-2/x-5
20
What is the amplitude of this function: y = 3 cos 2θ?
3
2
-3
-2
21
Find the probability that a softball team will win 3 of their next 5 games.
.844
.156
.313
.688
22
A research group randomly picks 100 students to ask about their favorite on-campus lunch. This calls for a survey.
False
True
23
Simplify: \frac{1-\sin^2}{\cos^2θ}
\sec^2θ
1
\tan^2θ
^{\cot^2θ}
24
We use _________ to estimate population parameters.
data ranges
sample populations
population parameters
sample statistics
25
Find the vertical asymptotes of the rational function below
x = – 8, x = 8, x = – 5
x = – 8, x = 8
x = 0, x = 64
x = 64, x = – 5
26
In an experiment, the two groups, control group and experimental group, do not need to be randomly split.
True
False
27
True or False: \cos^2θ-1=-\sin^2θ
True
False
28
Solve the following the problem using trigonometry to find the area.
8.4
12
100.8
35
29
If P(-√2/2, √2/2), what is the value of tan P?
-1
1
√2/2
-√2/2
30
What is the period of this function: y=2\sin3θ
120o
90o
360o
180o
31
Solve for x: log
5
x - log
5
2 = 4
1250
312.5
2
623
32
Simplify: sec
2
θ - 1
cos2 θ
tan2 θ
sin2 θ
sec2 θ
33
Identify the vertical asymptote of the function: y = (x
2
- 3x)/(x - 1)
y = 1
y = 3
x = 1
x = 3
34
Name the growth factor in the function: y = 2(3)
x-1
+ 4
1
4
2
3
35
Which of the following gives the equations for all the vertical asymptotes of the graph of
B. x = -8, x = 5
C. x = -2, x = 5
A. x = -4
D. x = -5, x = 8
36
Logarithms can be negative....
True
False
37
Properties of Logarithms
2 log x + log y – log z
2 log x + log y + log z
2 log x – log y + log z
log x + 2 log y – log z
38
If you deposit $500 into an account at 0.3% interest for 10 years, how much will you have? y=Pe^{rt}
$1500
$15
$10,042.77
$515.23
39
Describe the translation of: y=\cos2\left(θ-90\degree\right)+4
Left 90o, Up 4
Left 90o, Down 4
Right 90o, Down 4
Right 90o, Up 4
40
In a population of 250 people, 105 said they prefer running over hiking. What is the population proportion?
0.50
0.525
0.42
2.38
41
What percent of a normal distribution is above +2 standard deviations?
16%
13.5%
2.5%
50%
42
Trigonometry: Knowing that cos x = 3/5, what is sin x?
4/3
3/4
5/3
4/5
43
Add the rational expressions
(5+4y)/[(y+10)(y+2)]
(9y)/[(y+10)(y+2)]
(9y+10)/[(y+10)(y+2)]
(9y+2)/[(y+2)(y+10)]
44
Trigonometry
13/5
13/12
5/12
12/5
45
Find the exact value of cos 30
o
.
√2/2
1/2
1
√3/2
46
Give the margin of error for a sample of 82
30%
1.2%
12%
11%
47
Subtract the rational expressions
(x+17)/[(x-3)(x+7)]
17/[(x-3)(x+7)]
(x+11)/[(x-3)(x+7)]
11/[(x-3)(x+7)]
48
What are the coordinates of this point on the unit circle?
(-√3/2, -1/2)
(1/√2, -1/√2)
(1/2, √3/2)
(√3/2, -1/2)
49
Find the 3rd term of (x - 3y)
4
.
54x2y2
-54x2y2
-12x3y
-108xy3
50
What is margin of error?
A calculation of how much sampling error occurred.
Measures the expected error between sample and population.
Shows what proportion of the population is missing.
A formula to find the true parameter.
