Algebra 2 CP NAME_______________________

Semester 2 Exam – June 2015 DATE________________ HR____

Part 1 PRACTICE

You may use a calculator. Please show all work directly on this test. Carefully mark each of your final

answers on the scantron form. Remember, the scantron machine is extremely sensitive, so erase

thoroughly. GOOD LUCK!

Do Your Figuring Below 1. Using the right triangle, find the value of csc .

A.

13

5

B.

5

13

C.

13

12

D.

12

13

2. An airplane making its descent towards the ground

makes an angle of descent of 5 with the ground. If the

airplane is 1000 feet from the airport, how high is it

above the ground?

A. 87.5 feet

B. 11,430 feet

C. 11,473.7 feet

D. 1,003.8 feet

CONTINUE TO NEXT PAGE

13

x

5

3. Solve the following triangle for

Do Your Figuring Below

A. 22°

B. 20.6°

C. 68°

D. 69.4°

4. Suppose is an angle in standard position whose

terminal side is in Quadrant II. Find the value of tan

given sin 𝜃 =5

13.

A.

12

5

B.

12

5

C.

5

12

D.

5

12

5. Find the exact value of 4

7sec

.

A.

2

2

B.

2

2

C.

2

D. 2

CONTINUE TO NEXT PAGE

9 24

Do Your Figuring Below 6. Given the following triangle where ,98C ,16A

and c = 32, find the length of side a to the nearest tenth.

A. 0.495

B. 8.9

C. 7.29

D. 197.0

7. Given the following triangle where a = 17,

b = 23, and c = 12, find the measure of the largest angle.

A. 21.2

B. 103.6

C. 76.4

D. 113.8 8. Identify the amplitude and period of the given

trigonometric equation: 3

2sin3y

A. amplitude: 3 Period: 3 B. amplitude: 3 Period: ⅔ C. amplitude: - 3 Period: 3 D. amplitude: - 3 Period: ⅔

CONTINUE TO NEXT PAGE

C

A

B

B

A C

Do Your Figuring Below 9. Describe the translations of the function cosy to

bay cos

A. Right a up b

B. Right a down b

C. Left a up b

D. Left a down b

10. Orange Leaf Frozen Yogurt offers fourteen ice cream

flavors, ten toppings, and three sauces. How many

different ice creams can you make provided you choose

one of each?

A. 27

B. 182

C. 420

D. 560

11. How many ways can you select a committee of nine

students from a group of seventeen?

A. 8,821,612,800

B. 153

C. 24,310

D. 3,719,430

12. There are 20 students in a local math competition. In how

many different ways can first, second, and third place be

awarded?

A. 1,140

B. 6,840

C. 60

D. 23

CONTINUE TO NEXT PAGE

13. How many five-card hands can you hold if you must have

three kings or four aces? Do Your Figuring Below

A. 54,144

B. 1,176

C. 1,181

D. 4,560

14. Given a standard die, find the probability of rolling an

even and then a three.

A.

12

1

B.

3

2

C.

4

1

D.

3

1

15. In a bag of marbles, there are 13 blue, 6 red, and 5 green.

Find the probability of drawing a blue, then a blue, then a

red if replacement does not occur.

A.

12144

1

B.

2304

169

C.

506

39

D.

936

1

CONTINUE TO NEXT PAGE

16. The odds in favor of an event are 2:5. Find the

probability of the same event. Do Your Figuring Below

A.

5

2

B.

7

2

C.

2

5

D.

7

5

17. Identify the vertical and horizontal asymptotes of the

following rational equation: 94

62

2

x

xxy

A. Vertical:

2

3x Horizontal: y = 4

B. Vertical:

2

3x Horizontal: y =

4

1

C. Vertical: 2,3x Horizontal: y = 4

D. Vertical: 2,3x Horizontal: y =

4

1

18. Simplify: 862

82

5

1052

2

xx

xx

x

x

A.

x

x 12

B. 22 x

C.

1

222

xx

x

D. 1x

CONTINUE TO NEXT PAGE

19. Simplify: xx

5

3

2

Do Your Figuring Below

A. 3

11

x

B.

3

17

x

C.

357

xx

x

D.

3157

xx

x

20. Simplify: 24

42

x

x

x

A.

22422

xx

xx

B.

2262

xx

x

C.

2262

xx

x

D.

2222

xx

xx

21.

Solve: 81152

1

x

x

x

A. x = 4, -1

B. 1x

C.

3

1x

D. 4,1x

CONTINUE TO NEXT PAGE

22. Solve:

1

65

1

72

xx

Do Your Figuring Below

A. ,

5

3x -2

B. ,

5

2x - 2

C. ,

5

2x 2

D. ,

5

3x 2

23. Find the next three terms of the following sequence:

0,2

3,

4

3, …

A. 6 ,

3

8

3

10

B. ,2 ,

3

8

3

10

C. ,

3

5 ,

3

7 3

D. ,

3

5,

3

8

3

10

24. Write a rule for the nth

term of the sequence,

given: -6, -4, -2,…

A. an = 2n – 8

B. an = -2n + 2

C. an = n + 2

D. an = n – 2

CONTINUE TO NEXT PAGE

25. Write a rule for the n

th term of the arithmetic sequence:

a1 = -4 and a5 = 16. Your Figuring Below

A. an = 5n

B. an = 5n + 1

C. an = 5n – 9

D. an =

5

21

5

1n

26. Find Sn for the following:

6

2

14n

n

A. 24

B. 20

C. 102

D. 85

27. Write a rule for the n

th term of the series, given: ,2 ,2

22 ,…

A. 12 nna

B. 12 nna

C. 122 nna

D. 122 nna

28. Find Sn for the following:

5

1

1

3

12

n

n

A.

81

242

B.

81

605

C.

243

322

D.

81

1 CONTINUE TO NEXT PAGE

29. Find the sum for the following:

1

1

3

44

n

n

Your Figuring Below

A. Infinity

B. No Sum

C. 12

D. -12

30. Find the next three terms of the sequence for which a1 = 5

and an = 2an – 1 +3n

A. 16, 41, 94

B. 13, 32, 73

C. 5, 16, 41

D. 8, 25, 62

31. Identify the Vertices of the following equation:

1

25

4

9

222

yx

A. (2, 5) and (2, -5)

B. (3, -4) and (3, 4)

C. (2, -9) and (2, 1)

D. (-1, -4 ) and (5, -4)

32. Identify the Vertices of the following equation:

1

25

4

9

222

yx

A. (2, 5) and (2, -5)

B. (3, -4) and (3, 4)

C. (2, -9) and (2, 1)

D. (-1, -4 ) and (5, -4)

CONTINUE TO NEXT PAGE

33. Identify the slopes of the asymptotes of the following

equation: 18116

22

yx

Your Figuring Below

A.

9

4

B.

4

9

C.

81

16

D.

16

81

34. Determine the directrix and focus of the following

equation: 3415

1 2 yx

A.

Directrix: y = 2

Focus: (1, -8)

B.

Directrix: y = -8

Focus: (1, 2)

C.

Directrix: x = 6

Focus: (-4, -3)

D.

Directrix: x = -4

Focus: (6, -3)

35. Write the equation of a parabola with a Focus (-5, 1) and

Directrix of x = 3.

A. 1161 2 xy B. 1161 2 yx C. 1161 2 xy D. 1161 2 yx

36. Write the equation of a circle with center (-5, -2) and a

point on the circle (-3, 4)

A. 4025 22 yx B. 4043 22 yx C. 2525 22 yx D.

2543 22 yx

END OF PART 1.

Algebra 2 CP NAME_______________________

Semester 2 Exam – June 2015 DATE________________ HR____

Part 2 PRACTICE

Directions: Work out each question slowly and carefully. You MAY write on the test. Show all of your

work for full credit! GOOD LUCK!

For #1, evaluate all six trig functions.

Evaluate all six trig functions of given 𝜃 =3𝜋

2.

sin 𝜃 = _____________ cos 𝜃 = _____________ tan 𝜃 = _____________

csc 𝜃 = _____________ sec 𝜃 = _____________ cot 𝜃 = _____________

For #2, Find angle .

In Δ ABC, 23A , b = 17, and c = 8. Find a.

Answer = ________________________

For #3, Graph the following trigonometric equation.

Graph: 14

2sin2

xy

amp: ______________

Period:_____________

Phase Shift:_________

Vertical Shift:_______

For #4, given: A Standard Deck of Cards.

You are creating a five card hand. How many different combinations exist if you must have at least three

queens?

Answer:____________________________

A B

C

For #5, Find the x-intercepts and the y-intercepts of the following function

51

2

xy

x-intercept:_________________________ y-intercept:______________________________

For #6, Solve.

3

7

2

1

65

32

xx

x

xx

Answer:________________________________

For #7, Write a Rule.

Write a rule for the nth

term of the arithmetic sequence: a3 = 94 and a6 = 85

Answer = ________________________

For #8, Find all necessary information and graph.

3122 xy

Vertex:_____________________

Focus:______________________

Directrix:___________________

Axis of Symmetry:____________

Answers

1. D 2. A 3. C 4. A 5. D 6. B 7. B

8. A 9. D 10. C 11. C 12. B 13. D 14. A

15. C 16. B 17. B 18. A 19. D 20. A 21. A

22. D 23. B 24. A 25. C 26. D 27. C 28. A

29. B 30. A 31. C 32. D 33. A 34. A 35. A

36. A

1. sin 𝜃 = −1 cos 𝜃 = 0 tan 𝜃 = 𝑈𝑁𝐷𝐸𝐹 csc 𝜃 = −1 sec 𝜃 = 𝑈𝑁𝐷𝐸𝐹. cot 𝜃 = 0

2. 10.1 3. Amp = 2, Per = π 4. 4512 Hands 5. (7/5, 0) and (0, -7)

PS = left π/4

VS = down 1

6. x = 7 7. an = -3n + 97 8. Vertex: (-3, 0) Focus: (-6, 0)

Directrix: x = 0 AoS: y = 0