1. Solve for x:
2. Solve for x:
4
- 3
= 1
x + 1 x + 2
3. Solve for x: |2x - 1| =
5
4. Solve for x: 
5. Solve for x: |x - 3| + |2x - 1|
<
3
6. 
(a) f(-1)
=
(b) f(0) =
(c) f(2)
=
(d) Graph f(x)
7. Find the domain for 
8. Find the domain for 
9. Find the domain for 
10. Graph y = x2(x - 1)(x + 3)3
11. f(x) = 3x4 - 6x2
(a)
increasing
intervals:
(b)
decreasing
intervals:
(c)
even, odd, or
neither
(d)
relative
minimum:
(e)
relative
maximum:
12. 
This is a
graph of f(x).
Graph:
(a) f (x + 1)
(b) f (x) - 1
(c) f ( |x|
)
(d) f (2x)
(e) -f
(x)
(f) |f(x)|
(g) 3
f(x)
(h) f(-x)
13. f(x) = x2 + 1
and g(x) = 2x +
3
(a)
(f + g)(x) = (b) (f
/g)(x)
= (c)
f (g(x))
=
(d) g (f (x))
=
(e)
f -1(x)
=
(f) g-1(x)
=
(g)
f -1(g(x)) =
14. 
(a)
Find the domain for f(g(x)).
(b)
Find the domain for g(f(x)).
15. Solve for t: t3 - 4t2
+ 4t =
0
16. Find a polynomial whose zeros are -2, -1, 0, 1, 2
17. Divide 6x3 - 16x2+
17x -6 by 3x -
2
18. Solve for x:
-2x4 + 13x3 - 21x2
+ 2x + 8 = 0
19. Graph: 
20. Graph: 
21. Graph: 
22. Graph: 
23. Write a rational function that has:
(a)
vertical asymptote: x = 2,
slant asymptote: y = x + 1,
zero: x = -2
(b)
vertical asymptote: x = -2,
horizontal asymptote: y = 3,
zero: x = 1
26. Change 260o to
radians
27. Find trigonometric function values for all the special angles
28. sin A = 2/7; A is in
quadrant
II Find the other
trigonometric
functions.
29. Solve the right triangles:
(a) C
= 90o, a = 2, c = 4
(b) A
= 30o, b = 75, C = 90o
(c) C
= 90o, B = 45o, b = 20
30. Find the exact values of the
trigonometric functions
for an angle A whose terminal side passes
through
(-1,-10).
31. sin A = -1/2, tan A > 0; Find all trigonometric function values.
32. Find: (a) tan 225o
(b) cos 2p/3
(c)
sin 5p/4 (d) sec 17p/3
(e) csc
-p/6 (f) cot - 405o
33. Use your calculator to find: (a) sin 40o (b) cot 142o (c) sec 67o (d) csc 215o
34. Graph: (a) y = 2 sin
[3(x
-p/4)] + 1 (b)
y = - cos (x - p/3)
(c) y = 2 sec x (d)
y = cot x - 1
35. Use your calculator to find: (a) cos-1(1/4) (b) csc-110 (c) tan-16 (d) sec-112
36. Graph: (a) y = arctan
x
(b) y = arctan x -
3 (c)
y = 2 arctan
x
(d) y = |arctan x|
(e)
y = arctan
|x|
(f) y = arctan (x - 3)
37. sin (Arctan 3/4)
38. cot (Arctan
5/8)
39. sec [Arcsin (x - 1)]
40. sin (Arccos
x)
41. Arccos (-1/2)
42. csc (Arctan
(-5/12)
43. cos [Arcsin ((x -h)/r) ]
44. Graph: 
45. Graph y = 2x2 - 4x + 1
46. Solve for x: x3 - 8 = 0
47. Solve for x over [0,2p): sin 2x + cos 2x = 1
48. One root of x3 - 3x2 + x + 5 = 0 is 2 + i. Find the other roots.
49. Is y = x3 + 3x even, odd,
or
neither?
50. Find the equation of the line through (1, -4) with slope 2.
51. Find the distance from 2x + 3y - 6 =
0 to (1,1).
52. Find the quadratic function that has a minimum at (-1,-2) and passes through (0,4).
53. Find the points of intersection of
the
graphs of y = 2x +
3 and y = x2 - 6x - 6.
54. Find the determinant: |
3 2 0 |
| -1 2 4 |
| 0 1 1 |
55. Find the determinant: |
5 6 |
| 2 4 |
56. Solve the system using matrices
(on your calculator):
x + 2y - 3z = -18
2x
+
y - z = -5
-x +
4y
+ z = -4
58. Graph y < 2(x - 1)(x + 2)(x
+ 1)
60. A rectangle has a perimeter of 10. Find the length
and
width that would maximize the area of the rectangle.
61. Determine whether the graph of 
has
infinite discontinuity, jump discontinuity,
point
discontinuity, or is continuous.
62. Write the
equation for the inverse of the
function 
.
63. Find the
constant of variation for the
relation and use it to write an equation for the statement.
Then solve the
equation. If If y varies directly as x and as the square of
z, and y = 560/3
when x = 5 and z = 4, find y when x = 3 and z = 5.
64.
Change 303.22° to degrees, minutes,
and seconds.
65. Write 114° 26´ 11´´ as a decimal to the nearest thousandth.
66. Jane observes a raft floating on the
water bobbing up and
down with an amplitude of 8 feet. Beginning at the top of the
wave, if the raft
completes a full cycle every 5 seconds, what is the height of the raft
relative
to the lowest point after 25
seconds?
67. Use a graphing calculator to find an equation
for the line
of regression and the correlation value (r)
for
the data in the chart. The table below shows the blood pressure
of members of a
fitness class.
| Age | 20 |
25 |
28 |
32 |
36 |
36 |
37 |
42 |
45 |
46 |
48 |
| Blood Pressure |
130 |
110 |
125 |
116 |
99 |
105 |
109 |
120 |
113 |
124 |
? |
If the correlation
value (r) for the regression equation
shows a moderate or strong relationship,
use the equation to predict the
missing value and explain whether the prediction is reliable.
68. Use scalar multiplication to determine the coordinates of
the vertices of the dilated figure. Then graph
the pre-image and the image of
the same coordinate grid. Triangle with verticesA(-4,6), B(6,1), and
C(3,-5);
with scale factor 5/2.
69. Use matrices to determine the
coordinates of the vertices
of the translated figure. Then graph the
pre-image and the image on the
same
coordinate grid. Triangle DEF with vertex matrix 
translated 6 units right and 11
units down.
70. Use matrices to determine the
coordinates of the vertices
of the reflected figure. Then graph the pre-image
and the image on the same
coordinate grid. Triangle GHI
with vertices G(-3,6), H(8,4), and
I(6,-3); reflected
over the y-axis.
71. Use matrices to
determine the coordinates of the vertices
of the rotated figure. Then graph the pre-image
and the image on the same
coordinate grid. Rot180 for triangle MNP with
vertices M(-2,5), N(5,2), and P(5,-5).
72. Decompose 
into
partial fractions.
73. A senior engineer at an aerospace
engineering company
reported the amounts of material used and the
cost of materials for three
projects under his supervision. Winglet modifications on 15 jet
airliners used
6810 pounds of aluminum at a cost
of $38,820; horizontal tail surfaces for the
same 15 jet airliners used
33,750 pounds of aluminum at a
cost of $190,010; and
a full-sized mockup (model) of the wings for a new
jumbo-jet used 52,610 pounds
of aluminum all by itself, for a cost of materials of $313,030.
Use a matrix to
represent this data.
74. Find the inverse of the matrix, if it exists. 
75. Graph:
y > -x2 + 3x + 4
76.
Graph y > |x - 1|.
77. Solve the inequality: |x + 3|
> 9
78. Graph the function. Determine the interval(s) for which the
function is increasing and the interval(s)
for which the function is
decreasing.
y = x3 - 0.5x2 - 10x + 2
79. Verify that cot2x
+ sin2x = csc2x - cos2x is
an identity.
80. Find the maximum and minimum values of
the function for the
polygonal convex set determined by
the given system of inequalities.
x + y > 2
8x - 2y < 16
4y < 6x + 8
f(x,y) = 2x + 6y
81. Solve the
system by using a matrix equation. 5x - y = 13
6x - 5y = 8
82. Solve
the system of equations: -5x - 3y + z = 7
-x - 2y + 5z = 17
-3x - 3y + 10z = 44
83. A pulley of radius 15 cm turns at 8
revolutions per second.
What is the linear velocity of the belt
driving the pulley in meters per
second?
84.
Find the vertical, horizontal, and slant asymptotes,
if any, for 
85.
Find the value of 
86.
Find the value of 
87.
Find the value of 
88. The
hourly temperature at Portland, Oregon, on a
particular day is recorded below.
| 1 AM |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 Noon |
| 46o |
44o |
42o |
41o |
40o |
40o |
41o |
43o |
46o |
52o |
65o |
69o |
| 1 PM |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 Midnight |
| 71o |
74o |
75o |
76o |
77o |
76o |
74o |
70o |
62o |
55o |
51o |
48 |
a.
Find the amplitude of a sinusoidal function that models
this temperature variation.
b. Find the vertical shift of a sinusoidal function that
models this temperature variation.
c. What is the period of a sinusoidal function that models
this temperature variation?
d. Use t = 0 at 5 p.m.
to write a
sinusoidal function that models this temp. variation.
e. What is the model’s temperature at 10 a.m.? Compare this to the
actual value?
89.
Solve sin x + 2 sin x cos x = 0 for
0o < x < 180o
90. What is the standard form of the
equation with p
= 11 and 
?
91.
Find an equation of the line that bisects the
acute angle formed by the graphs of
-3x + 4y - 7 = 0
and 12x + 5y - 3 = 0.
92.
Find an equation of the line that bisects the
acute angle formed by the graphs of the following equations.
-5x + 4y - 5 = 0
9x + 3y - 19 = 0
93. Find the distance from the origin to
the graph of 2x - 3y + 4 = 0.
94. Write the equation x + 3y - 4 = 0 in
normal form. Then, find the length
of the normal and the angle
it
makes with the positive x-axis.