Download Name____________________________________________________________ Final Review Packet Algebra 2 Final Exam

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
(1)
and
(2)
, what is the value of
(3)
(4)
3. What is the solution of the equation
(1)
(2)
(3)
.
(5) OMIT
(4)
(5) OMIT
4. The expression 6ab 18b  4a 72b3  9ab 10b is equivalent to
(1) 3ab 10b
5. If
(1)
(2) 3ab 12b (3) 6ab 2b  9ab 10b
, what is
(4) 6ab  9ab 10b
?
(2)
(3)
(4)
6. Which graph represents the solution set of
(5) OMIT
?
(5) OMIT
7. Factored completely the expression
(1)
(3)
is equivalent to
(2)
(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) =
function?
(1)
(2)
(3)
10. The expression (6-i)2 is equivalent to
(1)
(2)
(3)
, which equation represents the inverse of that
(4)
(4) 35+12i
1
(5) OMIT
(5) OMIT
11. Factored completely the expression
(1) x2 (4x + 16)
(2) 8x(x+2)(x-2)
(3) 4x(x+4)(x-4)
(4) 8x2(x - 4)
is equivalent to
(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
(1)
(2)
in the interval
(3)
that satisfy the equation
(5) OMIT
(4)
?
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
(1) sinx
as a single trigonometric function.
(2) cscx
(3) 1
(4) cosx
17. The expression
(1) 1/4
(2) 1/2
is equivalent to
(3) 4
(4) 2
(5) OMIT
(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
(1)
(2)
(3)
20. The solution set of
(1) {15}
(2) {12}
equals
(4)
(5) OMIT
(3) {9}
(4) {-15}
2
(5) OMIT
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)
23. What is the equation of the axis of symmetry of the graph of
(1)
(2)
(3)
(4)
(5) OMIT
(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) x2y2
(2) 2x2y2
(3) 6x2y2
(4) 4x2y2
27. Simplify the expression
(1)
(2)
28. The solution set of
(1) { }
(2) {6}
(5)OMIT
and only use positive exponents.
(3)
(4)
4|10-2x| = 8
(3) {4}
(5) OMIT
is
(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
(3) S = -5, P =
30. Given the equation
(1) 42
(2) 12
(2) S = 5, P = 6
(4) S = , P = -6
(5)OMIT
solve for the value of x
(4) 0
(5) OMIT
(3) 10
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
3
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.
4
b) Solve for all values of x by factoring by grouping.
X3 + 6x2 – 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.
1
2
3
4
5
6
7
8
9
Year
18.0
18.2
18.5
18.9
19.2
19.6
20.0
20.3
20.7
Cost
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?
5
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 =
measure of <B.
39.Solve the equation below for all values of
nearest whole degree.
on the interval 0o <
6
. Find the nearest degree, the
< 360o. Round your answer to the
Name____________________________________________________________
Final Review Packet
Algebra 2 Final Exam
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
(1)
(2)
3. Express
(1) tan x
in the interval
(3)
that satisfy the equation
(5) OMIT
(4)
as a single trigonometric function.
(2) cot x
(3) 1
(4) csc x
4. If
, what is
(1)
(2)
?
(5) OMIT
?
(3)
(4)
(5) OMIT
5. Which graph represents the solution set of
?
(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
7. If a function is defined by the equation f(x) =
function?
(1)
(2)
(3)
8. Factored completely the expression
(1) 8x(x+2)(x-2)
(2) 8x2(x-4)
9. The expression
(1)
(2)
(3)
, which equation represents the inverse of that
(4)
(5) OMIT
is equivalent to
(3) 8x(x2 – 4)
(4) 8x(x+4)(x-4)
is equivalent to
(4)
10. Which graph represents a function?
(1)
(2)
(5)OMIT
(3)
7
(4)
(5) OMIT
11. Which function is NOT one-to-one?
(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
13. The expression
(1) 8
(2) 1/2
is equivalent to
(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
15.What change will be made to the graph of the equation
?
(1)shift left 1 down 2 (2)shift right 1,up 2 (3)shift up 1 left 2
(5) OMIT
if the equation is changed to
(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
17. In simplest form the expression
(1)
(2)
(3) -
equals
(4)
(5) OMIT
18. What is the solution of the equation
(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
20. What is the domain of the function
(1)
(2)
?
(3)
(4)
21. What is the equation of the axis of symmetry of the graph of
(1)
(2)
(3)
(4)
(5) OMIT
(5) OMIT
22. Which formula can be used to determine the total number of different 7 letter arrangements that can
be formed using the letters in the word ALGEBRA?
(1)
(2)
(3)
(4)
(5) OMIT
23. Factored completely the expression
(1)
(2)
is equivalent to
(4)
(3)
8
(5) OMIT
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)
26) Simplify the expression
(4)
(5)OMIT
and only use positive exponents.
(3)
(4) 3x5y6
(5) OMIT
(3) {-1,4}
(4) {1, -4}
(5) OMIT
28. The solution set of
(1) {40/3}
(2) {10}
(3) { }
(4) {10/3}
(5) OMIT
29. Given the equation
(1) 31
(2) 13
(3) 5
(1)
(2)
27. The solution set of
3|2x-3| = 15
(1) { }
(2) {-1, -4}
is
solve for the value of x
(4) 1
(5) OMIT
30. If side a=7 and angle A = 58°, find side b correct to two decimal places when angle B = 39°.
(1) 9.43
(2) 5.19
(3) 5.18
(4) 9.42
(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
32. Using the formula V = Pert find the value V for an investment of $8800 at an annual rate of 6.9%
compounded continuously after 7 years.
33. Express
with a rational denominator, in simplest radical form.
9
34. Find the center and radius of the circle with the equation:
(x + 12)2 + (x + 5)2 = 121
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 2x2 – 2x + 6 = 0 expressing the result in simplest a + bi form.
b) Solve for all values of x by factoring by grouping.
x3 – x2 – 49x + 49 = 0
10
37. a) The table below summarizes the average revenue in thousands of dollars for the annual ticket sales
for the local basketball team.
1
2
3
4
5
6
7
8
9
Year
10.2
10.5
10.9
11.3
11.7
11.8
12.1
12.3
12.6
Cost
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.
11
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
nearest whole degree.
on the interval 0o <
12
< 360o. Round your answer to the
NAME:_________________________________________________________________
Final Review Packet
Algebra 2 Final Exam
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. Which function is NOT one-to-one?
(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)}
2. In
,
(1)
, y = 9 and z = 13. What is the area of
(2)
(3)
(4)
3. Which graph does not represent a function?
(1)
(2)
4. The expression
(1)
(5) OMIT
to the nearest square inch?
(5) OMIT
(3)
(4)
is equivalent to
(2)
5. The expression (3 – i)2 is equivalent to
(1) 10 + 0i (2) 8 – 6i
(3) 10 – 6i
(3)
(4) 5
(4) 8 + 0i
(5) OMIT
(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
(1) 120 , 240
in the interval
(2) 60 , 300
that satisfy the equation 2cos + 1 = 0
(3) 150 , 210
(4) 60 ,120 , 240 , 300
8. Express (tanx)(cosx) as a single trigonometric function.
(1) secx
(2) cscx
(3) cosx
9. Which graph represents the solution set of
(1)
-3
6
(2)
-3
6
(4) sinx
(5) OMIT
?
(3)
-3
(4)
-3
13
6
(5) OMIT
6
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
12. If a function is defined by the equation f(x) =
function?
(1)
(2)
(3)
, which equation represents the inverse of that
13. Factored completely the expression
(1)
(2)
is equivalent to
(3)
14. The expression
(1)

(4)
is equivalent to
(3)
(2)
(5) OMIT
(4)
(4)
(5)OMIT
15. What change will be made to the graph of the equation y  x 2 if the equation is changed to
2
y  x  2  5 ?
(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)x2 – 4x – 3 = 0
(3)x2 + 3x + 4 = 0
(4)x2 + 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
(1) 5x 8 y 8
15x 3 y 2
is equivalent to
3x 5 y 6
(2)
5y 4
x2
(3)
x8
5y 8
(4)
5x 8
y8
(5) OMIT

19. What is the third term in the expansion of
?
(1)
(2)
(3)
(4)
(5)OMIT




20. Express x3 – 4x2 – 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
14
21. The solution set of |4x – 6| = 14 is
(1) {5}
(2) {-2, 5}
(3) {-2}
(4) {-5}
(5) omit
22. The solution set of
(1) {40}
(2) {-40}
(4) {41}
(5) omit
23. Given the equation
(1) 18
(2) 16
(3) {-41}
solve for the value of x
(4) 20
(5) omit
(3) 34
24. If side a=12 and angle A = 48°, find side b correct to two decimal places when angle B = 38°.
(1) 9.94
(2) 9.91
(3) 14.48
(4) 4.63
(5) omit
25. In simplest form the expression
(1)
equals
(2)
26. What is the solution of the equation
(1)
(2)
(3)
(4)
(5)OMIT
(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
28. What is the domain of the function
(1)
(2)
(3)
(4)
(5) OMIT
29. What is the equation of the axis of symmetry of the graph of
(1)
(2)
(3)
(4)
(5) OMIT
30. 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 MATHEMATICAL?
(1)
(2)
(3)
(4)
(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:
15
32. Using the formula
find the value of V for an investment of $3000 at an annual rate of
compounded continuously after 8 years.
33. Express
with a rational denominator, in simplest radical form.
34. Find the center and the radius of the circle with the equation:
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. Answer both parts a and b.
a) Solve
expressing the result in simplest
form.
16
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.
17
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
2sin2
- sin
on the interval
– 1 = 0`
18
NAME:_________________________________________________________________
Final Review Packet
Algebra 2 Final Exam
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. The expression
is equivalent to
(1)
(2)
(3)
(4)
(5)OMIT
2. If
(1)
and
(2)
3. What are the values of
(1)
(2)
4. Express
(1)
(2)
, what is the value of
(3)
(4)
in the interval
(3)
(4)
6. Which function is NOT one-to-one?
(1) {(4,3), (3,2), (2,1), (1,0)}
(3) {(0,2), (1,3), (4,5),(2,4)}
7. In
(1)
,
(4)
(5)OMIT
(3)
-2
8
-2
8
(4)
(5)OMIT
(2) {(2,1), (4,2), (6,2), (8,4)}
(4) {(5,1), (4,2), (3,3), (2,4)}
, s = 12 and t = 14. What is the area of
(2)
(3)
8. Which graph does NOT represent a function?
(1)
(2)
9. The expression
(1)
that satisfy the equation
(5)OMIT
as a single trigonometric function.
(3)
5. Which graph represents the solution set of
(1)
-2
8
(2)
-2
8
(5)OMIT
(5)OMIT
to the nearest square inch?
(4)
(5)OMIT
(3)
(4)
is equivalent to
(2)
(3)
(4)
19
(5)OMIT
10. If
, what is
(1)
?
(2)
(3)
11. The value of the expression
(1) 8
(2) 4
is
(3) 9
(4)
(5)OMIT
(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) 2x2 + x – 4 = 0
(3) 2x2 – x – 4 = 0 (4) 2x2 + 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
(1)
is equivalent to
(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?
20
17. Factored completely the expression
(1)
(3)
18. The expression
(1)
is equivalent to
(2)
(4)
(5)OMIT
is equivalent to
(3)
(2)
19. What is the second term in the expansion of (4 – x)4?
(1) 96x2
(2)
(3)
20. In simplest form the expression
(1)
(2)
(4)
(5)OMIT
(4)
(5)OMIT
equals
(3)
(4)
21. What is the solution of the equation
(1) 75
(2) 50
(5)OMIT
?
(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
(1)
in factored form.
(2)
(3)
27. The solution set of |3x - 5| = 7 is
(1) { }
(2) {4}
28. The solution set of
(1) { }
(2) { 7 }
29. Given the equation
(1) 40
(2)
(4)
(3) {- , 4}
(4) {-4}
(5)OMIT
(3) { -7 }
(4) { 25 }
(5)OMIT
is
(3) 22
21
solve for the value of x.
(4)
(5)OMIT
30. If side a = 13 and angle
angle
(1) 20.33
(b) 7.21
, find side b correct to two decimal places when
(3) 7.60
(4) 10.78
(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:
32. Using the formula
find the value of V for an investment of $5500 at an annual rate of
compounded continuously after 6 years.
33. Express
with a rational denominator, in simplest radical form.
34. Find the center and the radius of the circle with the equation:
35. Solve the fractional equation for x:
22
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.
23
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
30
33
36
39
42
45
48
51
54
57
60
(degrees)
Distance
57.74 60.83 63.21 65.07 66.19 66.56 66.20 65.11 63.32 30.85 57.73
(yards)
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.
24
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
2sin2 + sin – 1 = 0
on the interval
25
.
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
38.) a.) 127 pounds
(2) r = .9980
(3) $23 thousand
b.) 77o
39.) {68o, 127o, 248o, 307o}
26
b.) .56
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
38.) a.) 151 pounds
(2) r = 0.9918 (3) $14 thousand
b.) 41o
39.) {60o, 300o}
27
b.) 0.66
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
Part III:
36.) a.)
37.)
34.) center: (-6,2) r: 5
b.)
a.) y = 5x + 20.286
d.) r = 0.9134
38.) a.) 158 pounds
33.)
b.) r = 0.7334
e.) quadratic
c.) y = -2.143x2 + 73.571x – 519.714
f.) 95 times
b.) 75o
39.) {90o, 210o, 330o}
28
35.) x = 4
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.)
h.) r = -0.3513
k.) quadratic
i.) y = -0.062x2 + 5.626x – 44.371
l.) 36 times
Part III:
36.) a.)
37.)
b.)
g.) y = 0.362x + 76.558
j.) r = 0.6174
38.) a.) 146 pounds
b.) 47o
39.) {30o, 150o, 270o}
29