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MR22 Review for Test3 2013
1.
What is the sum of 1)
2)
and 3)
?
4)
2. Express in simplest form: 3. A rectangular garden with an area of has a
width of . what is the length of the garden?
4. Factor completely: x 4 – 16
5. Express in simplest form: 6. The expression 1)
2)
3)
4)
is equivalent to 13. What is the solution set for the equation |3 – 2x| = 5?
1) {–1,4}
3) {–1}
2) {1,–4}
4) {4}
7. For all values of x for which the expression is
defined:
Express as a single fraction in lowest terms: 8. Perform the indicated operations and simplify completely:
9. Express in simplest form:
10. For all values of for which the expression is
defined, solve for :
11. Solve for x: 5 + 12. Solve for x.
< – 3
= 9
14. Which represents the solution set for x in the
inequality | 2x - l | < 7?
1)
2)
3)
4)
{x| x < –3 or x > 4}
{x| x < –4 or x > 3}
{x| –4 < x < 3}
{x| –3 < x < 4}
15. Which graph represents the solution set of |2x + 1| > 7?
1)
2)
3)
4)
16. Express – (2
radical form.
– ) in simplest
17. Express the equation below in simplest radical form.
25. The roots of the equation x 2 – 10x + 25 = 0 are
18. The expression below is equivalent to:
1)
2)
3)
1)
2)
3)
4)
4)
19. Solve algebraically for x: 4 – = 1
20. Solve for all values of that satisfy the following
equation
21. What is the solution set of 1) {1}
3) {–2,1}
= x?
2) {–2}
4) {–1,2}
22. The roots of the equation 2x 2 + 7x – 3 = 0 are
1)
3)
2)
4)
23. Find the solution of the inequality x 2 – 4x > 5, algebraically
24. The discriminant of a quadratic equation is 24.
The roots are
1)
2)
3)
4)
imaginary
real, rational, and equal
real, rational, and unequal
real, irrational, and unequal
imaginary
real and irrational
real, rational, and equal
real, rational, and unequal
26. Determine the sum and the product of the roots of 3x 2 = 11x – 6.
27. Base your answer to the following question on
Which equation represents the parabola shown in
the accompanying graph?
35. If range?
, what are its domain and
1) domain:
; range:
2) domain: ; range: 3) domain: ; range: 4) domain: ; range: 36. The expression below is undefined when x equals
1) f(x) = (x + 1) 2 – 3
2) f(x) = –(x – 3) 2 + 1
3) f(x) = –(x + 3) 2 + 1 4) f(x) = –(x – 3) 2 – 3
1) 0º
3) 45º
4) 60º
37. In the set of real numbers, what is the domain of ?
28. Express in simplest form in terms of i:
29. Express the sum of 4
and 3
simplest radical form, in terms of i.
2) 30º
1) x –5
3) x > –5
in
2) x
4) x
–5
0
38. For which value of x is f(x) = 1) 1
30.
2) 0
3) 3
4) –3
39. If The expression above is equivalent to
1) 1
2) – 1
3) i
4) – i
31. Solve for and express the roots in simplest form:
32. When the sum of –4 + 8i and 2 – 9i is graphed,
in which quadrant does it lie?
1) I
2) II
3) III
4) IV
33. When represented graphically, in which quadrant
does the sum of –4 – i and 3 + 4i lie?
, the domain of 34. Given the relation {(8,2), (3,6), (7,5), (k,4)},
which value of k will result in the relation not
being a function?
1) 1
2) 2
3) 3
4) 4
1)
2)
3)
4)
undefined?
40. Base your answer to the following question on
Find if
52. Which expression is equivalent to cos 120°?
41. If f(x) = 2x – 1 and g(x) = 3x + 5, then (f • g)(x)
is equal to
53. What is the number of degrees in an angle whose
radian measure is ?
1) 5x + 4
3) 6x + 9
42.
1) cos 60°
3) –sin 60°
1) 150
2) 6x + 2
4) 6x 2 + 7x – 5
If f(x) = 3x + 1 and g(x) = x 2 –
43. If f(x) = 2x – 5 and g(x) = 1, find (f • g)(2).
45. What is the inverse of the function 1)
2)
3)
4)
?
1)
2)
58. If 1)
3)
3) III
4) IV
49. Expressed as a function of a positive acute angle,
cos (–305º) is equal to
2) cos 55º
4) sin 55º
50. Expressed as a function of a positive acute angle,
sin (–230°) is equal to
1) sin 50°
3) cos 50°
3)
4)
is 3)
4)
, evaluate .
59. In which interval of f(x) = cos(x)is the inverse
also a function?
48. If sin is less than 0 and sec is greater than 0,
in which quadrant does the terminal side of lie?
1) –cos 55º
3) –sin 55º
2)
57. The value of sine and cosine
sine and secant
sine and tangent
sine and cosecant
2) II
56. Base your answer to the following question on If and , what is ?
1)
47. Which functions are positive for angles
terminating in Quadrant II?
1) I
4) 518
1)
2)
3)
4)
46. If x varies inversely as y, and x = –34 when y =
–2, find x when y = 4.
1)
2)
3)
4)
3) 330
55. What is the solution set of the equation when ?
evaluate
2) y =
4) y = 3) y = 2) 165
54. Express 450º in radian measure.
44. What is the inverse of the function y = 3x – 2?
1) y = 3x + 2
2) cos 30°
4) –sin 30°
2) –sin 50°
4) –cos 50°
51. Express sin 150° as a function of a positive acute
angle.
60. If 1) sin A =
3) cos A = 2)
4)
= A then
2) sin A = 4) cos A = 61. What is the principal value of 1)
3)
2)
4)
62. Express the value of sin (Arc tan
radical form.
) in simplest
63. Which equation is graphed in the diagram below?
69. Which equation is represented by the graph
below?
1)
2)
1)
3)
3)
4)
64. What is the period of the function f( ) = –2cos 3
?
1)
2)
3)
4) 2
65. What is the period of the function
y = sin( – )?
1)
2)
3)
4) 6
66. A mass on a spring oscillates according to the
equation x(t) = 3 + 7 cos(4t + 3). What is the
amplitude of its motion?
1) 3
2) 4
3) 7
4) 10
67. What is the maximum value of y for the equation y = 1 + 3 sin x?
1) 1
2) 2
3) 3
4) 4
68. The graph of which equation has amplitude 2 and
period ?
1) y = 2 cos 2x
3) y = 2 sin x
2) y = sin 2x
4) y = 2 cos x
2)
4)
70. Write an equation for the graph of the
trigonometric function shown below.
71. A radio transmitter sends a radio wave from the
top of a 50-foot tower. The wave is represented
by the accompanying graph.
What is the equation of this radio wave?
1) y = sin x
3) y = sin 1.5x
2) y = 1.5 sin x
4) y = 2 sin x
72. Which equation is represented in the graph
below?
1) y = 2 sin x
3) y = 2 cos x
2) y = sin 2x
4) y = cos 2x
73. What is the solution set for the interval
1) {30°, 150°}
3) {30°, 330°}
in
2) {60°, 120°}
4) {60°, 300°}
74. Solve the equation 2 tan C – 3 = 3 tan C – 4 algebraically for all values of C in the interval
0° C< 360°.
75. Find all values of in the interval 0° 360° that satisfy the equation sin 2 = sin .
76. Base your answer to the following question on
Solve the following equation algebraically for all
values of in the interval 0° 180°.
2 sin – 1 = 0
2)
is equivalent to
1)
77. The expression cot • sec is equivalent to
1)
79. The expression
3) csc
4) sin 78. The expression 1 – sec x is equivalent to
1) –tan x
2)
3)
4)
2)
3)
4)
80. If sec (a + 15)° = csc (2a)°, find the smallest positive value of a, in degrees.
81. If tan (x + 20) = cot x, a value of x is
1) 35
2) 45
3) 55
4) 75
82. If sin (2x + 20)° = cos 40°, find x.
Answer Key
MR22 Reveiw for Test3 in 2nd marking period 2013
1.
2.
2
–
or 3.
4.
(x 2+4)(x+2)(x–2)
5.
6.
35.
1
71.
2
36.
3
72.
3
37.
1
73.
4
38.
3
74.
45 and 225
39.
4
75.
0, 60, 180, 300
76.
30 and 150
40.
2
41.
3
77.
3
42.
10
78.
2
8.
43.
7
79.
1
9.
44.
2
80.
25
10.
45.
4
81.
1
82.
15
7.
11.
6
46.
17
12.
0 < x < 2
47.
4
13.
1
48.
4
14.
4
49.
2
15.
1
50.
1
16.
51.
17.
52.
4
53.
2
18.
19.
1
sin 30º or cos 60º
54.
7
20.
and 55.
3
21.
1
56.
4
22.
3
57.
4
23.
x < –1 or x > 5
58.
24.
4
59.
3
25.
3
60.
1
3
27.
Sum = and product 61.
= 2
62.
3
63.
28.
64.
2
26.
4
29.
17i
65.
4
30.
3
66.
3
67.
4
68.
1
69.
1
31.
32.
33.
34.
3
II
3
70.
y = –3 sin 2x