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Second Semester Practice Final Exam



 1. 

Alg 2 9-1 Ex 1     Alg 2 9-1 Ex 1
Find the distance between the points (2,3) and (5,7)
a.
7
c.
5
b.
mc001-1.jpg
d.
3
 

 2. 

Alg 2 9-1 Ex 2      Alg 2 9-1 Ex 2
Find the midpoint between the points (2,3) and (6,7)
a.
(-4,-4)
c.
(8,10)
b.
(4,4)
d.
(4,5)
 

 3. 

Alg 2 9-2 Ex 2     Alg 2 9-2 Ex 2
Find the center and radius of the circle: mc003-1.jpg
a.
(3,-4); 6
c.
(-3,4); 36
b.
6; 36
d.
36; (-4,3)
 

 4. 

Alg 2 9-5 Part 1 Ex 1     Alg 2 9-5 Part 1 Ex 1
What is the center of this conic section?
mc004-1.jpg
a.
(4,-3)
c.
(-4,3)
b.
(-3,4)
d.
(3,-4)
 

 5. 

Alg 2 9-2 Ex 3     Alg 2 9-2 Ex 3
Write this equation in standard form:
mc005-1.jpg
a.
It is in standard form
c.
mc005-3.jpg
b.
mc005-2.jpg
d.
mc005-4.jpg
 

 6. 

Alg 2 9-4 Part 2 Ex 1     Alg 2 9-4 Part 2 Ex 1
Write this equation in standard form:
mc006-1.jpg
a.
It is in standard form.
c.
mc006-3.jpg
b.
mc006-2.jpg
d.
mc006-4.jpg
 

 7. 

Alg 2 9-4 Part 1 Ex 1     Alg 2 9-4 Part 1 Ex 1
Find the vertices of the ellipse:
mc007-1.jpg
a.
(-2,-3), (4,-3), (1,-1), (1,-5)
c.
(-4,3), (2,3), (-1,5), (-1,1)
b.
(-2,-3), (4,-3)
d.
(-4,3), (2,3)
 

 8. 

Alg 2 9-3 Part 1 Ex 1     Alg 2 9-3 Part 1 Ex 1
Find the vertex of the parabola:
mc008-1.jpg
a.
(3,5)
c.
(-3,5)
b.
(5,3)
d.
(5,-3)
 

 9. 

a.
512
c.
mc009-2.jpg
b.
16
d.
mc009-3.jpg
 

 10. 

Alg 2 10-5 Ex 7     Alg 2 10-5 Ex 7
If mc010-1.jpg and mc010-2.jpg,
find the mc010-3.jpg
a.
2.5951
c.
3.2364
b.
1.5441
d.
3.5553
 

 11. 

Alg2 10-6 Ex 4     Alg2 10-6 Ex 4
Solve for x to 4 decimal place accuracy:
mc011-1.jpg.
a.
-0.2219
c.
0.2219
b.
0.6825
d.
1.4651
 

 12. 

Alg 2 10-6 Ex 2     Alg 2 10-6 Ex 2
Use your calculator to approximate the following,
to 4 decimal place accuracy: mc012-1.jpg
a.
347.6962
c.
12.6949
b.
0.4050
d.
0.9326
 

 13. 

Alg 2 10-4 Ex 4     Alg 2 10-4 Ex 4
Solve the following equation for x: mc013-1.jpg
a.
6
c.
8
b.
32
d.
128
 

 14. 

Textbook 10-3 Page 465 Example 3b
If mc014-1.jpg, then mc014-2.jpg
a.
mc014-3.jpg
c.
mc014-5.jpg
b.
mc014-4.jpg
d.
mc014-6.jpg
 

 15. 

Alg 2 10-5 Ex 6-7     Alg 2 10-5 Ex 6-7
Use the properties of logs to express mc015-1.jpg as a single logarithm
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
d.
mc015-5.jpg
 

 16. 

Alg 2 10-8 Ex 8     Alg 2 10-8 Ex 8
Write in exponential form: mc016-1.jpg
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 

 17. 

Alg 2 11-5 Ex 3     Alg 2 11-5 Ex 3
Evaluate (find the sum):
mc017-1.jpg
a.
181,050
c.
180,600
b.
181,500
d.
1207
 

 18. 

Alg 2 11-6 Ex 4     Alg 2 11-6 Ex 4
Find the sum of the series 16+12+9+..., if it has one. If it does not, say so
a.
mc018-1.jpg
c.
64
b.
no sum
d.
4
 

 19. 

Alg 2 11-4 Ex 3     Alg 2 11-4 Ex 3
Write sigma notation for the series:
1-4+9-16+25-36
a.
mc019-1.jpg
c.
mc019-3.jpg
b.
mc019-2.jpg
d.
mc019-4.jpg
 

 20. 

Alg 2 11-8 Ex 3    Alg 2 11-8 Ex 3
Find the 6th term of mc020-1.jpg
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 

 21. 

Alg 2 11-3 Ex2    Alg 2 11-3 Ex2
Find the 23rd term in the Geometric sequence:
3, 6, 12, ...
a.
8,388,608
c.
12,582,912
b.
6,291,456
d.
25,165,824
 

 22. 

Alg 2 11-1 Ex 1     Alg 2 11-1 Ex 1
Tell whether the sequence mc022-1.jpg is arthimetic, geometric or
neither and supply the next term.
a.
geometric,mc022-2.jpg
c.
arithmetic,mc022-4.jpg
b.
neither,mc022-3.jpg
d.
geometric,mc022-5.jpg
 

 23. 

Alg 2 11-2 Ex 2     Alg 2 11-2 Ex 2
The first term of an Arthimetic Sequence is 2 and the 16th term is 47. Find the common difference.
a.
3
c.
5
b.
4
d.
6
 

 24. 

Textbook Page 512 Example 5
Frank has taken a job with a starting salary of $15,000 and annual raises of 4%. What will be his salary during his third year on the job
a.
$16,224.00
c.
$16,872.96
b.
$15,600.00
d.
$17,547.87
 

 25. 

Alg 2 12-4 Ex 5     Alg 2 12-4 Ex 5
Find q to the nearest degree if cos q = -0.7660 and mc025-1.jpg. (Quadrants II or III)
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 

 26. 

Alg 2 12-6 Ex 1     Alg 2 12-6 Ex 1
In triangle ABC. a =11, c = 15, mc026-1.jpg. Find side b to the nearest tenth.
a.
21.7
c.
11.6
b.
24.5
d.
15.5
 

 27. 

Alg 2 12-3 Ex 6     Alg 2 12-3 Ex 6
If mc027-1.jpg, then mc027-2.jpg mc027-3.jpg Find both angles.
a.
60, 300
c.
60, 240
b.
60, 120
d.
60, 30
 

 28. 

Alg 2 12-6 Ex 2     Alg 2 12-6 Ex 2
In triangle ABC, a = 6, b = 9, and c = 14. Find mc028-1.jpg to the nearest degree.
a.
64°
c.
26°
b.
17°
d.
73°
 

 29. 

Alg 2 12-9 Ex 1     Alg 2 12-9 Ex 1
Find the area of triangle ABC if a = 23, b = 14, and mc029-1.jpg. Give the answer to one decimal place accuracy
a.
144.7 sq units
c.
115.8 sq units
b.
70.6 sq units
d.
289.4 sq units
 

 30. 

Alg 2 12-3 Ex 6     Alg 2 12-3 Ex 6
If csc x = 2, then x = ? (mc030-1.jpg Find both angles.
a.
30, 60
c.
30, 150
b.
30,120
d.
30, 210
 

 31. 

Alg 2 12-3 Ex 1      Alg 2 12-3 Ex 1
DO NOT USE A CALCULATOR! LEAVE YOUR ANSWER IN
SIMPLEST RADICAL FORM! If mc031-1.jpg, find the mc031-2.jpg
a.
mc031-3.jpg
c.
mc031-4.jpg
b.
2
d.
mc031-5.jpg
 

 32. 

Alg 2 12-5 Ex 1-2      Alg 2 12-5 Ex 1-2
In Right Triangle ABC, mc032-1.jpg, mc032-2.jpg mc032-3.jpg. Find side mc032-4.jpg to the nearest tenth
a.
14.4
c.
10.7
b.
23.9
d.
11.9
 

 33. 

Alg 2 12-3 Ex 4     Alg 2 12-3 Ex 4
DO NOT USE A CALCULATOR! LEAVE YOUR ANSWER IN
SIMPLEST RADICAL FORM! Find the mc033-1.jpg
a.
mc033-2.jpg
c.
-1
b.
1
d.
mc033-3.jpg
 

 34. 

Alg 2 12-3 Ex 3     Alg 2 12-3 Ex 3
Find the reference angle for an angle with measure mc034-1.jpg 
a.
14mc034-2.jpg
c.
104mc034-4.jpg
b.
76mc034-3.jpg
d.
166mc034-5.jpg
 

 35. 

Alg 2 13-1 Ex 1     Alg 2 13-1 Ex 1
Convert 270mc035-1.jpg into radians
a.
mc035-2.jpg
c.
mc035-4.jpg
b.
mc035-3.jpg
d.
mc035-5.jpg
 

 36. 

Alg2 13-4 Ex 1      Alg2 13-4 Ex 1
What is the amplitude of the graph of mc036-1.jpg
a.
mc036-2.jpg
c.
mc036-4.jpg
b.
mc036-3.jpg
d.
90mc036-5.jpg
 

 37. 

Alg 13-4 Ex 3-4     Alg 13-4 Ex 3-4
Sketch the graph of mc037-1.jpg on your scratch paper. What is the y value, when mc037-2.jpg is 360mc037-3.jpg
a.
5
c.
0
b.
-5
d.
mc037-4.jpg
 

 38. 

Alg 2 13-4 Ex 3-4     Alg 2 13-4 Ex 3-4
What is the period of the graph of  mc038-1.jpg
a.
2
c.
mc038-3.jpg
b.
mc038-2.jpg
d.
mc038-4.jpg
 

 39. 

Alg 2 13-4 Ex 3-4     Alg 2 13-4 Ex 3-4
What is the period of the graph of mc039-1.jpg
a.
2
c.
90mc039-3.jpg
b.
mc039-2.jpg
d.
1440mc039-4.jpg
 

 40. 

Alg 2 15-7 Ex 2     Alg 2 15-7 Ex 2
How many combinations can be selected from the letter in the word IMPROVE, taking them 5 at a time
a.
2520
c.
21
b.
42
d.
14
 

 41. 

ScoreFrequency
51
102
154
202
Alg 2 15-1 Ex 3     Alg 2 15-1 Ex 3
Find the mode, the median, and the mean, to the nearest whole number, for the frequency distribution shown above.
a.
4; 15; 15
c.
14; 15; 15
b.
4; 13; 13
d.
15; 15; 14
 

 42. 

Alg 2 15-6 Ex4     Alg 2 15-6 Ex4
In how many ways can the letters in the word HUBBUB be arranged?
a.
60
c.
6
b.
720
d.
120
 

 43. 

Alg 2 15-6 Ex 2     Alg 2 15-6 Ex 2
In how many way can the letters of the word SAMPLE be arranged using only 4 of the letters at a time?
a.
720
c.
30
b.
1296
d.
360
 

 44. 

Alg 2 15-5 Ex 1-2     Alg 2 15-5 Ex 1-2
How many positive even integers containing 4 digits can be formed using the digits 0, 1, 2, 4, and 5?
a.
300
c.
200
b.
625
d.
375
 

 45. 

Alg 2 15-5 Ex 3     Alg 2 15-5 Ex 3
How many 3-symbol identification codes can be made using lower case letters for the first and third symbols and a digit from 1 to 9 inclusive for the middle symbol?
a.
6084
c.
8100
b.
3042
d.
2106
 

 46. 

Alg 2 16-9 Part 1 Ex 1     Alg 2 16-9 Part 1 Ex 1
For the following system of simultanious equations, find mc046-1.jpg
mc046-2.jpg
a.
-79
c.
-1
b.
1
d.
79
 

 47. 

Alg 2 16-1 Ex 2     Alg 2 16-1 Ex 2
Solve for x and y:
mc047-1.jpg
a.
x = 3, y = 2
c.
x = 4, y = 2
b.
x = 2, y = 4
d.
x = 0, y =0
 

 48. 

Alg 2 16-5 Ex 2     Alg 2 16-5 Ex 2
Find the determinant of the following matrix using the definition of a determinant for a 3x3 matrix:
mc048-1.jpg
a.
56
c.
80
b.
77
d.
59
 

 49. 

Textbook Page 771 Example 2
Simplify:
mc049-1.jpg
a.
mc049-2.jpg
c.
mc049-4.jpg
b.
mc049-3.jpg
d.
mc049-5.jpg
 

 50. 

Textbook Page 775 Example 1
mc050-1.jpg
a.
mc050-2.jpg
c.
mc050-4.jpg
b.
mc050-3.jpg
d.
mc050-5.jpg
 



 
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