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Algebra II
Ms.Lanci
Final Review Quizzes
There are 10 weeks left of school. At the beginning of every week you will be handed a
quiz paper with 5 practice final questions. They are due the Friday of that week. IF YOUR
CLASS DROPS ON A FRIDAY, THE ASSIGNMENT WILL BE DUE ON THE THURSDAY.
Each quiz will be worth 10 points, for a total of 100 points for the 4th quarter. This assignment is
mean to help you; however failing to complete the quiz each week will give you a zero on a test
for the 4th quarter.
Quiz 2: Answer all questions on loose-leaf (with your name on it)
This assignment is due______________________
1. Simplify the complex fraction:
1 x

2x 2
5
x
2. Solve the following equation and express the roots in simplest a + bi form. x 2  4 x  5  0
3. Solve the following absolute value inequality and graph the solution set on the real number
line: x  3  14
4. Factor the following expression completely: 5x 3  15x 2  50 .
5. Write in simplest form: 2 63  3 28 .
Algebra II: Review Sheet
Trigonometric Functions
A) Find θ to the nearest second.
1.) tan θ = .7465
2.) cos θ = .5772
3.) sin θ = .3213
4.) tan θ = 1.2345
B) Find the value of x to 4 decimal places
1.) cos 504452
2.) sin 315221
3.) sec 53468
4.) tan 714633
C) Find x to the nearest tenth. (All angle measures in degrees/minutes/seconds)
1.)
2.)
3.)
4.)
5.)
5
x
9
12
x
9
17
x
20
16
63
12
x
25
6
D) Find sin θ, cos θ, tan θ, csc θ, sec θ, cot θ (Write the formulas)
1.)
2.)
5
√85
6
3
θ
θ
4
7
E) Name the quadrant in which the terminal side of  A lies.
1.) sin θ >0 and cot θ >0
2.) csc θ <0 and sec θ < 0
3.) cos θ <0 and sin θ >0
4.) tan θ <0 and sec θ <0
F) Solve for x.
1.) sin(x + 20) = cos(4x + 5)
2.) csc(2x – 8)=sec(4x + 38)
3.) tan 4x = cot 70
G) Write the following expressions as functions of acute angles whose measure is less than 45 .
1.) cos 78
2.) sec 125
3.) tan 256
4.) sin 280
H) Given the following points located on the unit circle, find sin θ, cos θ, tan θ, csc θ, sec θ, cot
θ.
2 5

1.) (8, -15)
2.) ( 3 ,1)
3.)  ,

3
3


I) Sketch the angle and determine the quadrant in which the terminal side lies.
1.) 140
2.) 97
3.) 315
4.) 168
5.)  475
6.) 184
s
r
1.) In a circle, the length of a radius is 4cm. Find the length of an arc intercepted by a
central angle whose measure is 1.5 radians.
J) The formula for finding the length of an arc is:  
2.) In a circle, a central angle of 4.2 radians intercepts an arc whose length is 6.3 meters.
Find the length of a radius in meters.
3.) If  = 2.5 and r = 4, find s.
4.) If s = 12 and  =6, find r.
K) Change each angle from degrees to radians.
1.) 120
2.)  50
3.) 315
4.) 135
L) Change each angle from radians to degrees.
5
5
5
1.)
2.)
3.)
4
6
3
M) Complete the table below:
θ
30
45
Radians
60

3
4.)
90

2

6
5.) 240
5.)
180
11
6
270
360
2
sin θ
cos θ
tan θ
csc θ
sec θ
cot θ
N) Express each function as a function of a positive acute angle.
4
11
  17 
1. cos
2. sin 
3.csc
4. cot 190

3
4
 15 
O) Find the exact value of the function.
1. cos 315
2. sin 135
3. tan 120
6. cos
5
3
7. tan
3
4
8. sin 
5. tan(-115)
4. cos 225
5. sin 240
9. tan 210
10. cos 120
6. sec 208