name final review packet algebra 2 final exam … review packet algebra ii... · 1 name_____ final...

1

Name____________________________________________________________

Final Review Packet Algebra 2 Final Exam

Practice Final 1 Part I

Answer 25 out of 30 questions from this part. Each correct answer will receive 2 credits.

1. Which function is NOT one-to-one?

(1) {(12,-3), (4, 15), (0, 8), (2, -11)} (2) {(2, 0), (-1, 6), (8, 4), (3, -10)}

(3) {(5, 7), (9, 11), (3, 1), (4, 11)} (4) {(1,-5), (2, 2), (8, 6), (1, -4)} (5) OMIT

2. If and , what is the value of .

(1) (2) (3) (4) (5) OMIT

3. What is the solution of the equation

(1) (2) (3)

(4) (5) OMIT

4. The expression 36 18 4 72 9 10ab b a b ab b is equivalent to

(1) 3 10ab b (2) 3 12ab b (3) 6 2 9 10ab b ab b (4) 6 9 10ab ab b

5. If

, what is ?

(1)

(2)

(3)

(4)

(5) OMIT

6. Which graph represents the solution set of ?

(5) OMIT

7. Factored completely the expression is equivalent to

(1) (2)

(3) (4) (5) OMIT

8. Ten students compared their grades on their last math test. Their scores were: 77,55,68,92,85,80,91,94,78,89 To the nearest tenth, what is the sample standard deviation for this set of data?

(1) 12.2 (2) 11.6 (3) 10 (4) 12.3 (5) OMIT

9. If a function is defined by the equation f(x) = , which equation represents the inverse of that

function?

(1) (2) (3) (4) (5) OMIT

10. The expression (6-i)2 is equivalent to

(1) (2) (3) (4) 35+12i (5) OMIT

2


(1) x2 (4x + 16) (2) 8x(x+2)(x-2)

(3) 4x(x+4)(x-4) (4) 8x2(x - 4) (5) OMIT

12. If side a=6 and angle A = 62°, find side b correct to two decimal places when angle B = 41°.

(1) 4.46 (2) 4.45 (3) 9.64 (4) 9.65 (5) OMIT

13. What are the values of in the interval that satisfy the equation ?

(1) (2) (3) (4) (5) OMIT

14. Which graph does not represent a function?

(1) (2)

(3) (4)

(5) OMIT

15. In ∆XYZ, m<X = 67o , side y = 3 and side z = 10. What is the area of ∆XYZ to the nearest square

inch?

(1) 13 (2) 14 (3) 28 (4) 6 (5) OMIT

16. Express as a single trigonometric function.

(1) sinx (2) cscx (3) 1 (4) cosx (5) OMIT

17. The expression is equivalent to

(1) 1/4 (2) 1/2 (3) 4 (4) 2 (5) OMIT

18. What change will be made to the graph of the equation if the equation is changed to ?

(1)shift right 5, up 3 (2)shift right 5, down 3 (3)shift left 5, down 3 (4)shift up 5, left 3 (5)OMIT

19. In simplest form the expression

equals

(1)

(2)

(3)

(4)

(5) OMIT

20. The solution set of

(1) {15} (2) {12} (3) {9} (4) {-15} (5) OMIT

3

21. A circle has a radius of 8 inches. In inches, what is the length of the arc intercepted by a central angle

of 2 radians?

(1)16 (2) 4 (3)

(4) 10 (5) OMIT

22. What is the domain of the function

?

(1) (2) (3) (4) (5) OMIT

23. What is the equation of the axis of symmetry of the graph of

(1) (2) (3) (4) (5) OMIT

24. Which formula can be used to determine the total number of different 5 letter arrangements that can

be formed using the letters in the word PIZZA?

(1)

(2) (3)

(4)

(5) OMIT

25. The graph at the right represents which of the following equations?

(1) (2)

(3) (4) (5) OMIT

26. What is the third term in the expansion of (x + y)4?

(1) x2y

2 (2) 2x

2y

2 (3) 6x

2y

2 (4) 4x

2y

2 (5)OMIT

27. Simplify the expression

and only use positive exponents.

(1)

(2)

(3)

(4)

(5) OMIT

28. The solution set of 4|10-2x| = 8 is

(1) { } (2) {6} (3) {4} (4) {4,6} (5) OMIT

29. Find the sum of the roots S, and the product of the roots P of the quadratic equation

(1) S = -5, P = -6 (2) S = 5, P = 6

(3) S = -5, P = (4) S = , P = -6 (5)OMIT

30. Given the equation solve for the value of x

(1) 42 (2) 12 (3) 10 (4) 0 (5) OMIT

PART II

Answer all 5 questions from this part. Show work in the space provided.

[Four credits each]

31. Find the value of the expression

4

32. Using the formula V = Pert find the value V for an investment of $7200 at an annual rate of 5.8%

compounded continuously after 7 years.

33. Express

with a rational denominator, in simplest radical form.

34. Find the center and radius of the circle with the equation:

(x – 8)2 + (x + 1)

2 = 81

35. Solve the fractional equation for x:

PART III

Answer 3 out of the 4 questions in this section. All work necessary to the solution of the question

must be written in the space provided and on the graph where necessary. [Each question selected

is worth 10 points]

36. a) Solve 4x2 + 6x + 10 = 0 expressing the result in simplest a + bi form.

5

b) Solve for all values of x by factoring by grouping.

X3 + 6x

2 – 25x – 150 = 0

37. a) The table below summarizes the average revenue in thousands of dollars for the annual ticket sales

for the local basketball team.

Year 1 2 3 4 5 6 7 8 9

Cost 18.0 18.2 18.5 18.9 19.2 19.6 20.0 20.3 20.7

1) Find the linear equation of best fit for the given data. Round decimals to three places.

2) Find the correlation coefficient “r” correct to 4 decimal places for part a.

3) Use the equation of best fit in part a to estimate the average revenue for the local basketball team in

year 15. Round to the nearest dollar.

37. b) St. Francis Prep’s hockey team has 4 games left in the season. The probability that the team will

win a game is 0.65. What is the probability to the nearest hundredth, that they will win at least three out

of the four games?

6

38. a) Two forces have magnitudes of 72 pounds and 98 pounds respectively, and act upon a body at an

angle of 85 between them. Find, to the nearest whole pound, the resultant force.

b) In ABC, side a = 12.5, side b = 16.4, and the measure of angle A = . Find the nearest degree, the

measure of <B.

39.Solve the equation below for all values of on the interval 0o < < 360

o. Round your answer to the

nearest whole degree.

7

Name____________________________________________________________


Practice Final 2

Part I

Answer 25 out of 30 questions from this part. Each correct answer will receive 2 credits.

1. If and , what is the value of .

(1) (2) 5 (3) (4) (5) OMIT

2. What are the values of in the interval that satisfy the equation ?

(1) (2) (3) (4) (5) OMIT


(1) tan x (2) cot x (3) 1 (4) csc x (5) OMIT

4. If

, what is ?

(1)

(2)

(3)

(4)

(5) OMIT


(5) OMIT

6. Ten students compared their grades on their last math test. Their scores were: 66,75,89,93,95,100,78,65,80,90 To the nearest tenth, what is the sample standard deviation for this set of data?

(1) 12.2 (2)12.1 (3) 11.5 (4) 10 (5) OMIT


function?

(1) (2) (3) (4) (5) OMIT


(1) 8x(x+2)(x-2) (2) 8x2(x-4) (3) 8x(x

2 – 4) (4) 8x(x+4)(x-4) (5) OMIT


(1) (2) (3) (4) (5)OMIT

10. Which graph represents a function?

(1) (2) (3) (4)

8


(1) {(3,0), (4, -5), (10, 1), (10, 5)} (2) {(4, 1), (-5, 10), (2, -7), (8, 9)}

(3) {(1, 8), (-3, 9), (2, -2), (12, 9)} (4) {(6,2), (1, -3), (5, -2), (7, -1)} (5) OMIT

12. In ∆XYZ, m<X = 48o, side y = 5 and side z = 9. What is the area of ∆XYZ to the nearest square inch?

(1) 17 (2) 16 (3) 15 (4) 33 (5) OMIT


(1) 8 (2) 1/2 (3) 4 (4) 2 (5) OMIT

14. The expression (5 + 3i)2 is equivalent to

(1) 34+30i (2) 34 – 30i (3)16 – 30i (4) 16+30i (5) OMIT

15.What change will be made to the graph of the equation if the equation is changed to

?

(1)shift left 1 down 2 (2)shift right 1,up 2 (3)shift up 1 left 2 (4)shift right 1,down 2 (5)OMIT

16. Find the sum of the roots S, and the product of the roots P of the quadratic equation

(1) S = 3, P = 1 (2) S = -3, P = 1 (3) S = 3, P = (4) S = , P = -1 (5)OMIT


equals

(1) (2)

(3) -

(4)

(5) OMIT


(1) (2) (3) (4) (5) OMIT

19. A circle has a radius of 15 inches. In inches, what is the length of the arc intercepted by a central

angle of 3 radians?

(1) 5 (2) 45 (3)

(4) 18 (5) OMIT


?

(1) (2) (3) (4) (5) OMIT


(1) (2) (3) (4) (5) OMIT


be formed using the letters in the word ALGEBRA?

(1)

(2)

(3) (4)

(5) OMIT


(1) (2) (3) (4) (5) OMIT

9

24. The graph at the right represents which of the following equations?

(1) (2)

(3) (4) (5) OMIT

25. What is the fourth term in the expansion of (x – 1)7?

(1) 35x4

(2) (3)

(4) (5)OMIT

26) Simplify the expression

and only use positive exponents.

(1)

(2)

(3)

(4) 3x5y

6 (5) OMIT

27. The solution set of 3|2x-3| = 15 is

(1) { } (2) {-1, -4} (3) {-1,4} (4) {1, -4} (5) OMIT


(1) {40/3} (2) {10} (3) { } (4) {10/3} (5) OMIT


(1) 31 (2) 13 (3) 5 (4) 1 (5) OMIT


(1) 9.43 (2) 5.19 (3) 5.18 (4) 9.42 (5) OMIT

PART II


[Four credits each]

31. Find the value of the expression

32. Using the formula V = Pert find the value V for an investment of $8800 at an annual rate of 6.9%


33. Express


10

34. Find the center and radius of the circle with the equation:

(x + 12)2 + (x + 5)

2 = 121


PART III



is worth 10 points]

36. a) Solve 2x2 – 2x + 6 = 0 expressing the result in simplest a + bi form.

b) Solve for all values of x by factoring by grouping.

x3 – x

2 – 49x + 49 = 0

11

37. a) The table below summarizes the average revenue in thousands of dollars for the annual ticket sales

for the local basketball team.

Year 1 2 3 4 5 6 7 8 9

Cost 10.2 10.5 10.9 11.3 11.7 11.8 12.1 12.3 12.6

1) Find the linear equation of best fit for the given data. Round decimals to three places.

2) Find the correlation coefficient “r” correct to 4 decimal places for part a.

3) Use the equation of best fit in part a to estimate the average revenue for the local basketball team in

year 15. Round to the nearest dollar.

37. b) St. Francis Prep’s hockey team has 8 games left in the season. The probability that the team will

win a game is 0.85. What is the probability to the nearest hundredth, that they will win at least seven out

of the eight games?

38. a) Two forces have magnitudes of 74 pounds and 102 pounds respectively, and act upon a body at an

angle of 63 between them. Find, to the nearest whole pound, the resultant force.

12

b) In ABC, side a = 20.1, side b = 22.4, and the measure of angle A = 36 . Find the nearest degree, the

measure of <B.

39.Solve the equation below for all values of on the interval 0o < < 360

o. Round your answer to the

nearest whole degree.

13

NAME:_________________________________________________________________


Practice Final 3

JUNE 2012

PART I

Answer 25 out of 30 questions from this part. Each correct answer will receive 2 credits. FOR

EACH OF THE 5 QUESTIONS YOU OMIT ON PART I, FILL IN CHOICE (5) ON THE

SCANTRON SHEET.


(1) {(-1,4), (3,-2), (7,-4), (9,1)} (3) {(-3,-2), (-1,8), (0,-3), (4,6)}

(2) {(5,3), (7,5), (8,2),(10,5)} (4) {(8,-4), (9,0), (10,1), (11,5)} (5) OMIT

2. In , , y = 9 and z = 13. What is the area of to the nearest square inch?

(1) (2) (3) (4) (5) OMIT

3. Which graph does not represent a function?

(1) (2) (3) (4)


(1)

(2) (3) (4) 5 (5) OMIT

5. The expression (3 – i)2 is equivalent to

(1) 10 + 0i (2) 8 – 6i (3) 10 – 6i (4) 8 + 0i (5) OMIT

6. If f(x) = 3x – 1 and g(x) = -2x + 1, what is the value of f(g(5))?

(1) -27 (2) -28 (3) 5 (4) -10 (5) OMIT

7. What are the values of in the interval that satisfy the equation 2cos + 1 = 0

(1) 120 , 240 (2) 60 , 300 (3) 150 , 210 (4) 60 ,120 , 240 , 300

8. Express (tanx)(cosx) as a single trigonometric function.

(1) secx (2) cscx (3) cosx (4) sinx (5) OMIT


(1) (3)

-3 6 -3 6

(2) (4) (5) OMIT

-3 6 -3 6

14

10. If

, what is ?

(1)

(2)

(3)

(4)

(5) OMIT

11. Eleven students wanted to know how many grams of carbohydrates were in a serving of their

favorite breakfast cereals. Their data are below: 11, 15, 23, 29, 19, 22, 21, 20, 15, 25, 17

To the nearest tenth, what is the population standard deviation for this set of data?

(1) 4.9 (2) 5.1 (3) 19.7 (4) 20 (5) OMIT


function?

(1) (2) (3) (4) (5) OMIT


(1) (2) (3) (4)


(1) (2) (3) (4) (5)OMIT

15. What change will be made to the graph of the equation

y x 2 if the equation is changed to

y x 2 25?

(1)shift left 2, up 5 (2)shift right 2, up 5 (3)shift up 2, right 5 (4)shift right 2, down 5 (5)OMIT

16. For which equation does the sum of the roots equal -3 and the product of the roots equal 4?

(1)x2 – 3x – 4 = 0 (2)x

2 – 4x – 3 = 0 (3)x

2 + 3x + 4 = 0 (4)x

2 + 4x + 3 = 0 (5)OMIT

17. The graph to the right represents which equation?

(1) y = cos ½ x (3) y = cos 2x

(2) y = ½ cos x (4) y = 2 cos x

(5) OMIT

18. The expression

15x 3y 2

3x 5y 6 is equivalent to

(1)

5x8y8 (2)

5y 4

x 2 (3)

x 8

5y8 (4)

5x 8

y 8 (5) OMIT

19. What is the third term in the expansion of ?

(1) (2)

(3) (4) (5)OMIT

20. Express x3 – 4x

2 – 12x

(1) x(x – 2)(x + 6) (2) (x2 – 6)(x + 2) (3) x(x – 6)(x + 2) (4) x(x – 4)(x + 3) (5) omit

15

21. The solution set of |4x – 6| = 14 is

(1) {5} (2) {-2, 5} (3) {-2} (4) {-5} (5) omit


(1) {40} (2) {-40} (3) {-41} (4) {41} (5) omit


(1) 18 (2) 16 (3) 34 (4) 20 (5) omit


(1) 9.94 (2) 9.91 (3) 14.48 (4) 4.63 (5) omit


equals

(1) (2)

(3) (4) (5)OMIT


(1)

(2)

(3)

(4)

(5) OMIT

27. A circle has a radius of 6 inches. In inches, what is the length of the arc intercepted by a central angle

of 3 radians?

(1) 18 (2) 2 (3)

(4) 9 (5) OMIT


(1) (2) (3) (4) (5) OMIT


(1)

(2)

(3)

(4) (5) OMIT


be formed using the letters in the word MATHEMATICAL?

(1)

(2)

(3) (4)

(5) OMIT

PART II


[Four credits each]

31. Find the value of the expression:

16

32. Using the formula find the value of V for an investment of $3000 at an annual rate of


33. Express


34. Find the center and the radius of the circle with the equation:


PART III



is worth 10 points]

36. Answer both parts a and b.

a) Solve expressing the result in simplest form.

17

b) Solve by factoring by grouping.

37. The table below summarizes the number of minutes per day the average teenager in each age group

spends on their social networking site.

Age 13 14 15 16 17 18 19

Frequency 78 84 99 120 106 110 105

a) Find the linear equation of best fit for the given data. Round decimals to three places.

b) Find the correlation coefficient “r” correct to 4 decimal places for part a.

c) Find the quadratic equation of best fit for the given data. Round decimals to three places.

d) Find the correlation coefficient “r” correct to 4 decimal places for part c.

e) Use the values of “r” to determine which equation, linear from part a, or quadratic from part c, is a

better fit for the given data.

f) Use the equation of best fit found in part e to estimate the number of times a 20 year old would

post to their social networking site.

18

38. Answer both parts a, and b.

a. Two forces have magnitudes of 50 pounds and 130 pounds respectively, and act upon a body at

an angle of 65° between them. Find, to the nearest whole pound, the resultant force.

b. In ΔABC, side a = 6.5, side b = 10.2, and the measure of angle A = 38°. Find, to the nearest degree,

the measure of angle B.

39. Solve the equation below for all values of on the interval

2sin2 - sin – 1 = 0`

19

NAME:_________________________________________________________________


Practice Final 4

JUNE 2011

PART I

Answer 25 out of 30 questions from this part. Each correct answer will receive 2 credits. FOR

EACH OF THE 5 QUESTIONS YOU OMIT ON PART I, FILL IN CHOICE (5) ON THE

SCANTRON SHEET.


(1) (2) (3) (4) (5)OMIT

2. If and , what is the value of (1) (2) (3) (4) (5)OMIT

3. What are the values of in the interval that satisfy the equation (1) (2) (3) (4) (5)OMIT


(1) (2) (3) (4) (5)OMIT

5. Which graph represents the solution set of

(1) (3)

-2 8 -2 8

(2) (4) (5)OMIT

-2 8 -2 8


(1) {(4,3), (3,2), (2,1), (1,0)} (2) {(2,1), (4,2), (6,2), (8,4)}

(3) {(0,2), (1,3), (4,5),(2,4)} (4) {(5,1), (4,2), (3,3), (2,4)} (5)OMIT

7. In , , s = 12 and t = 14. What is the area of to the nearest square inch?

(1) (2) (3) (4) (5)OMIT

8. Which graph does NOT represent a function?

(1) (2) (3) (4)


(1) (2) (3) (4)

(5)OMIT

20

10. If

, what is ?

(1)

(2)

(3)

(4)

(5)OMIT

11. The value of the expression is

(1) 8 (2) 4 (3) 9 (4) -10 (5)OMIT

12. For which equation does the sum of the roots equal

and the product of the roots equal 2?

(1) 2x2 – x + 4 = 0 (2) 2x

2 + x – 4 = 0 (3) 2x

2 – x – 4 = 0 (4) 2x

2 + x + 4 = 0 (5)OMIT

13. The graph to the right represents which equation below?

(1) y = sin 2x (2) y = 2 sin x

(3) y = ½ sin x (4) y = sin½ x

(5)OMIT

14. The expression

is equivalent to

(1)

(2

(3) (4)

(5)OMIT

15. Nine students who went to SUNY Albany were asked how many times they withdrew money from

the ATM in the Campus Center over the last month. Their responses are shown below.

3, 9, 2, 2, 6, 4, 1, 0, 7

Determine the population standard deviation for this data to the nearest tenth.

(1) 2.8 (2) 3.0 (3) 34 (4) 3.8 (5)OMIT

16. If a function is defined by the equation f(x) = , which graph represents the inverse of that function?

21


(1) (2)

(3) (4) (5)OMIT


(1) (2) (3) (4) (5)OMIT

19. What is the second term in the expansion of (4 – x)4?

(1) 96x2

(2) (3)

(4) (5)OMIT


equals

(1) (2)

(3)

(4)

(5)OMIT

21. What is the solution of the equation ?

(1) 75 (2) 50 (3)

(4)

(5)OMIT

22. A circle has a radius of 7 inches. In inches, what is the length of the arc intercepted by a

central angle of 2 radians?

(1) 14 (2) (3) 21 (4) 21 (5)OMIT

23. What is the domain of the function ?

(1) x ≥ 3 (2) x > 3 (3) x ≤ 3 (4) x < 3 (5)OMIT

24. What is the equation of the axis of symmetry of the graph of y = 3x2 + 12x – 2?

(1) x = -2 (2) x = 2 (3) y = -2 (4) y = 2 (5)OMIT

25. Which formula can be used to determine the total number of different 12 letter

arrangements that can be formed using the letters in the word CONSTITUTION ?

(1) 12! (2)

(3)

(4)

(5)OMIT

26. Express in factored form.

(1) (2) (3) (4)

27. The solution set of |3x - 5| = 7 is

(1) {

} (2) {4} (3) {-

, 4} (4) {-4} (5)OMIT

28. The solution set of is (1) { } (2) { 7 } (3) { -7 } (4) { 25 } (5)OMIT 29. Given the equation solve for the value of x. (1) 40 (2) (3) 22 (4) (5)OMIT

22

30. If side a = 13 and angle , find side b correct to two decimal places when

angle (1) 20.33 (b) 7.21 (3) 7.60 (4) 10.78 (5)OMIT

PART II


[Four credits each]

31. Find the value of the expression:

32. Using the formula find the value of V for an investment of $5500 at an annual rate of


33. Express


34. Find the center and the radius of the circle with the equation:


23

Part III:

Answer 3 out of 4 questions in this section. All work necessary to the solution must be written in

the space provided and on the graph when necessary. Each question is worth 10 points.

36. Answer both parts a and b.

a. Solve expressing the result in simplest a + bi form.

b. Solve by factoring by grouping.

24

37. A kicker punts a football eleven times at the same velocity but at different angles. The table below

shows the distance the football traveled, in yards, when kicked at each angle.

Angle of Kick

(degrees) 30 33 36 39 42 45 48 51 54 57 60

Distance

(yards) 57.74 60.83 63.21 65.07 66.19 66.56 66.20 65.11 63.32 30.85 57.73

g) Find the linear equation of best fit for the given data. Round decimals to three places.

h) Find the correlation coefficient “r” correct to 4 decimal places for part a.

i) Find the quadratic equation of best fit for the given data. Round decimals to three places.

j) Find the correlation coefficient “r” correct to 4 decimal places for part c.

k) Use the values of “r” to determine which equation, linear from part a, or quadratic from part c, is a

better fit for the given data.

l) Use the equation of best fit found in part e to estimate the number of times a 20 year old would

post to their social networking site.

38. Answer both parts a, and b.

a. Two forces have magnitudes of 65 pounds and 115 pounds respectively, and act upon a body at an

angle of 75° between them. Find, to the nearest whole pound, the resultant force.

25

b. In ΔABC, side a = 5.2, side b = 7.8, and the measure of angle A = 29°. Find, to the nearest

degree, the measure of angle B.

39. Solve the equation below for all values of on the interval . 2sin2 + sin – 1 = 0

26

Answer Keys

Practice Final #1

Part I:

1.) (3) 2.) (2) 3.) (1) 4.) (3) 5.) (3) 6.) (4) 7.) (1)

8.) (2) 9.) (1) 10.) (2) 11.) (3) 12.) (1) 13.) (3) 14.) (4)

15.) (2) 16.) (1) 17.) (4) 18.) (3) 19.) (1) 20.) (1) 21.) (1)

22.) (1) 23.) (4) 24.) (1) 25.) (3) 26.) (3) 27.) (2) 28.) (4)

29.) (1) 30.) (2)

Part II:

31.) 105 32.) $10805.78 33.)

34.) center: (8,-1) r: 9 35.) x = 3

Part III:

36.) a.)

b.)

37.) a.) (1) y = .347x + 17.533 (2) r = .9980 (3) $23 thousand b.) .56

38.) a.) 127 pounds b.) 77o

39.) {68o, 127

o, 248

o, 307

o}

27

Practice Final #2

Part I:

1.) (1) 2.) (3) 3.) (1) 4.) (1) 5.) (1) 6.) (1) 7.) (3)

8.) (1) 9.) (2) 10.) (4) 11.) (3) 12.) (1) 13.) (4) 14.) (4)

15.) (2) 16.) (3) 17.) (4) 18.) (3) 19.) (2) 20.) (4) 21.) (2)

22.) (1) 23.) (3) 24.) (3) 25.) (3) 26.) (1) 27.) (3) 28.) (2)

29.) (2) 30.) (2)

Part II:

31.) 90 32.) $14264.18 33.)

34.) center: (-12,-5) r: 11 35.)

Part III:

36.) a.)

b.)

37.) a.) (1) y = 0.298x + 9.997 (2) r = 0.9918 (3) $14 thousand b.) 0.66

38.) a.) 151 pounds b.) 41o

39.) {60o, 300

o}

28

Practice Final #3: (June 2012)

Part I:

1.) (2) 2.) (2) 3.) (3) 4.) (4) 5.) (2) 6.) (2) 7.) (1)

8.) (4) 9.) (1) 10.) (1) 11.) (1) 12.) (3) 13.) (3) 14.) (3)

15.) (2) 16.) (3) 17.) (2) 18.) (4) 19.) (2) 20.) (3) 21.) (2)

22.) (4) 23.) (2) 24.) (1) 25.) (4) 26.) (3) 27.) (1) 28.) (4)

29.) (3) 30.) (4)

Part II:

31.) 24 32.) $4001.27 33.) 34.) center: (-6,2) r: 5 35.) x = 4

Part III:

36.) a.)

b.)

37.) a.) y = 5x + 20.286 b.) r = 0.7334 c.) y = -2.143x2 + 73.571x – 519.714

d.) r = 0.9134 e.) quadratic f.) 95 times

38.) a.) 158 pounds b.) 75o

39.) {90o, 210

o, 330

o}

29

Practice Final #4 (June 2011)

Part I:

1.) (3) 2.) (1) 3.) (3) 4.) (3) 5.) (2) 6.) (2) 7.) (2)

8.) (1) 9.) (2) 10.) (3) 11.) (1) 12.) (4) 13.) (2) 14.) (1)

15.) (1) 16.) (2) 17.) (4) 18.) (2) 19.) (3) 20.) (4) 21.) (4)

22.) (1) 23.) (1) 24.) (3) 25.) (4) 26.) (4) 27.) (3) 28.) (2)

29.) (3) 30.) (3)

Part II:

31.) 24 32.) $7335.67 33.)

34.) center: (12,-5) r: 7 35.)

Part III:

36.) a.)

b.)

37.) g.) y = 0.362x + 76.558 h.) r = -0.3513 i.) y = -0.062x2 + 5.626x – 44.371

j.) r = 0.6174 k.) quadratic l.) 36 times

38.) a.) 146 pounds b.) 47o

39.) {30o, 150

o, 270

o}

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