ACCELERATED PRECALCULUS STUDY GUIDE FOR THE SLO
I CAN...
MODEL WITH CONICS by graphing, writing conic equations, comparing conic equations, identifying key
features, and writing equations in alternate forms.
1.
Standard G.GPE.3(+)
Write the standard form equation for the ellipse given by 16x2 + 9y2 – 64x + 36y – 44 = 0.
2.
Standard G.GPE.3(+)
Identify the equation of the ellipse that has :
co-vertices (2, 4) and (2, 0) and
foci (5, 2) and (-1, 2).
3.
Standard G.GPE.3(+)
Identify the equation of the hyperbola that has co-vertices (2, 4) and (2, 0) and
foci (5, 2) and (-1, 2).
4.
Standard G.GPE.3(+)
Identify the conic section represented by 3y2 + 20x = 23 + 5x2 + 12y.
5.
Standard (G.GPE.3(+))
Find the equation of a circle with its center at
6.
Standard (G.GPE.3(+))
Find the equation of the ellipse shown below.
and a radius of 4.
y
7
6
5
4
3
2
1
–3
–2
–1
–1
1
2
3
4
5
6
7
8
9
x
–2
–3
–4
–5
7.
Standard (G.GPE.3(+))
Find the equation of the hyperbola graphed below.
y
14
12
10
8
6
4
2
–8
–6
–4
–2
–2
2
4
6
8
10
12
14
16
x
–4
–6
–8
–10
8.
Standard (G.GPE.2)
Find the focus and the directrix for the given parabola:
9. Find an equation of the perpendicular bisector of the segment connecting the points
10. Find the focus of the parabola:
11. Graph
and
.
12. Find the center and radius of
13. Write an equation in standard form for the ellipse with foci (7, 0) and (–7, 0) and y-intercepts of 6 and
14. Find the distance between point
and point
, then find the midpoint of
.
15. Identify the focus and directrix of the parabola given by
16. Sketch the graph of the parabola.
17. Write the standard form of the equation of the parabola with its vertex at (0, 0) and focus at
.
18. Open-ended: Write an equation of a parabola that opens down and has its vertex located in Quadrant II.
19. Graph
y
10
10 x
–10
–10
20. Sketch the graph of
.
21. Write the standard form of the equation of the circle that passes through the point (1, –6) with its center at the
origin.
22. Sketch the graph of
23. Write an equation of the ellipse with a vertex at (–8, 0), a co-vertex at (0, 4), and center at (0, 0).
24. A skating park has a track shaped like an ellipse. If the length of the track is 66 m and the width of the track is
42 m, find the equation of the ellipse.
25. Graph
26. Graph the equation and identify the asymptotes:
y
10
–10
10
x
–10
27. Find the asymptotes and sketch the hyperbola.
28. Find the equation of the circle with center (2, –6) and radius of 4.
29. Write the equation of the circle in standard form. Identify the radius and center.
30. Classify the conic section. If it is a circle, an ellipse, or a hyperbola, find its center. If it is a parabola, find its
vertex.
31. Classify the conic section as a circle, an ellipse, a hyperbola, or a parabola.
32. A satellite dish has a parabolic cross section with a focus that is 3 feet from the vertex. The cross section is
placed on a coordinate plane with the vertex at
and opening to the right.
a. Find the coordinates of the focus and the equation of the directrix. Explain your answers.
b. Write an equation for the cross section of the satellite dish. Explain your answers.
c. If the satellite dish is 4 feet deep, find the diameter of the satellite dish at its opening.
d. If the opening of the satellite dish has a circumference of
, how deep is the dish?
33. The vertical cross section of a cooling tower at a nuclear reactor has a shape that can be described by the
equation
with x and y in feet.
a. Find the diameter of the tower at its narrowest point. Explain your answer.
b. The distance from the center of the hyperbola to the bottom of the tower is twice the distance from the
center of the hyperbola to the top of the tower. If the tower is 180 feet tall, find the diameter of the top of the
tower. Explain your answer.
34. A local television station in Marshall County has a range of 50 miles.
a. Write an equation that represents the region covered by this television station. Explain your answer.
b. Can a person who lives 18 miles to the East and 35 miles North of the station watch this television station?
Explain.
35. Writing: How is the equation of a vertical ellipse like the equation of a vertical hyperbola? How are the
equations different?
36. Writing: How is the equation of an ellipse like the equation of a circle? How are the equations different?
I CAN...
Work with trigonometric functions, use the unit circle (degrees and radians), apply and graph
trigonometric functions, create inverse trigonometric functions to solve equations, prove identities, use
the law of sines and cosines, and apply all to real-world situations.
____ 37.
Standard (F.TF.1))
Which of the following is equivalent to
a.
b.
c.
d.
51.20°
86.43°
106.98°
128.57°
38.
Standard (F.TF.3(+))
?
39.
Standard (F.TF.3(+))
?
?
40.
Standard (F.TF.3(+))
?
41.
Standard (F.TF.2)
Point P is on the unit circle at an angle of
.
What are the coordinates of Point P?
42.
Standard (F.TF.2)
Determine the area of
on the unit circle below.
43.
Standard (F.TF.3)
=
44.
Standard (F.TF.3)
Find the exact value of the
.
45.
Standard (F.TF.2)
Find the exact value of the
.
____ 46.
Standard (F.TF.3)
Which of the following is a coterminal angle with
a.
b.
c.
?
d.
47.
Standard (F.TF.5)
The period of the graph shown below is
____ 48.
Standard (F.TF.5)
Which graph represents the function
a.
b.
in the interval
?
c.
d.
49.
Standard (F.IF.7)
In physics class, Wesley noticed the pattern shown in the accompanying diagram on an oscilloscope.
Which equation best represents the pattern shown on the oscilloscope?
50.
Standard (F.IF.7)
The path traveled by a roller coaster is modeled by the equation
altitude of the roller coaster?
____ 51.
Standard (F.IF.7e))
Choose the correct equation for the graph below.
. What is the maximum
a.
c.
b.
d.
____ 52.
Standard (F.IF.7e))
Choose the correct graph for
y
a.
c.
2
1.5
1.5
1
1
0.5
0.5
–2 –1.5 –1 –0.5
–0.5
0.5
1
1.5
2
x
–1
–1.5
–1.5
–2
–2
d.
y
2
1.5
1.5
1
1
0.5
0.5
0.5
1
1.5
2
x
0.5
1
1.5
2
x
0.5
1
1.5
2
x
y
2
–2 –1.5 –1 –0.5
–0.5
Standard (F.BF.4)
–2 –1.5 –1 –0.5
–0.5
–1
b.
53.
y
2
–2 –1.5 –1 –0.5
–0.5
–1
–1
–1.5
–1.5
–2
–2
Determine the value of
on the unit circle, below.
54.
Standard (F.TF.6))
Evaluate
55.
Standard (F.TF.7)
Solve for  on the interval
.
56.
Standard (F.TF.7)
Solve for x on the interval
.
57.
Standard (F.TF.7)
Solve
____ 58.
Standard (F.TF.4 (+))
on the interval
a.
b.
c.
d.
____ 59.
Standard (F.TF.9(+))
The expression
is equivalent to:
a.
b.
c.
d.
60.
Standard (F.TF.9(+))
Find
if
and if
lies in quadrant IV.
____ 61.
Standard (F.TF8)
Which of the following is a correct Pythagorean Identity?
a.
b.
c.
d.
____ 62.
Standard (F.TF.8)
Which is a trigonometric identity?
a.
b.
c.
d.
63.
Standard (F.TF.9)
Use trigonometric identities to simplify.
64.
Standard (G.SRT.10(+))
Find the measure of
to the nearest whole degree.
65.
Standard (G.SRT.11(+))
Two planes leave an airport at the same time. One plane is flying 650 mph at a bearing of 37° E of N, and
the other is flying at 825 mph at a bearing 53° W of N. How far apart (to the nearest mile) are the planes
after flying for 2 hours?
66.
Standard (G.SRT.10(+))
Given
in which
Solve the triangle.
67.
Standard (G.SRT.10(+))
Given
in which
,
____ 68.
Standard (G.SRT.10)
Which formula below is the Law of Sines?
a.
b.
c.
d.
69. Graph y = cos x
, and
.
Solve the triangle.
70. Find THE EXACT VALUE of
given that sin A =
with
 A   and cos B =
.
71. Graph
72. What are the amplitude and Period for
?
73. Write the equation of the resulting graph when
is translated down three units.
74. Write the equation of the resulting graph when
is translated two units to the left.
75. Sketch one cycle of the graph of the function.
76. Given that
and
, find the values of the other five trigonometric functions of .
77. Simplify the following expression:
78. Simplify the following expression:
79. Simplify the following expression:
80. Solve
in the interval 0°
81. Solve
in the interval
360°.
with
82. Suppose the depth of the tide in a certain harbor can be modeled by
water depth in feet and t is the time in hours. Consider a day in which
that day, when are high and low tide and what is the depth of each?
83. Write two x-values at which the function
, where y is the
represents 12:00 midnight. For
has a maximum.
84. Write the equation for the sine function below. (The period is 2.)
y
5
–
– 


x
–5
85. Find the exact value of sin 225° using a sum or difference formula.
86. If cos  =
and  terminates in the first quadrant, find the exact value of cos 2.
87. Use a half-angle formula to find the exact value of
I CAN...
Perform operations on matrices, use matrices in applictions, and use matrices to represent and solve
systems of linear equations.
88.
Standard (A.REI.8)
A bank teller is counting 95 bills totaling $960. The number of $10 bills is 6 more than 4 times the number of
$20 bills. The number of $5 bills is 2 less than 2 times the number of $20 bills. How many bills of each
denomination did the bank teller count?
89.
Standard (A.REI.8)
Solve the following system of equations using matrices.
90.
Standard (A.REI.8)
Rewrite the following system of equations in matrix form.
91.
Standard (N.VM.5)
Find the inverse of matrix A below, if it exists.
92.
Standard (N.VM.5)
Find the inverse of matrix A below, if it exists.
Find the inverse of the matrix
, if it exists.
93.
Standard (N.VM.8)
Perform the indicated operation.
94. Sketch the graph of the equation
.
y
10
–10
10
x
–10
95. A company stocks items A, B, and C at each of its two stores. Use matrix multiplication to determine the
value of the inventory at each store.
____ 96. Lawrence's parents pay him a base allowance of $20 per week and $3.55 per hour for extra chores he
completes. Mrs. Johnson pays Lawrence $7.15 per hour to lifeguard at the city pool. Which equation models
Lawrence's total weekly income?
a.
c.
b.
d.
I CAN...
Exten my understanding of complex numbers and their operations through graphical representations, and
perform operations on vectors and use vector operations to represent various quantities.
97.
Standard (N.VM.4)
Given vectors
,
find
.
98.
Standard (N.VM.4b)
What are the magnitude and direction of the resultant vector w = 4u – 5v if u =
v=
.
and
99.
Standard (N.VM.4)
Given vector u =
and vector v =
, find u – v.
100.
Standard (N.VM.5)
Find the direction of the resultant vector
.
101. Find the direction angle of the vector.
102. Give the component form of the vector u that has the magnitude described.
103. An airplane is flying due north at 430 miles per hour. A wind begins to blow in the direction
miles per hour. Find the bearing the pilot must fly the aircraft to continue traveling due north.
Identify the initial point of vector v.
104.
terminal point is
at 54
ACCELERATED PRECALCULUS STUDY GUIDE FOR THE SLO
Answer Section
1. ANS:
PTS: 1
2. ANS:
DIF:
2
NAT: G.GPE.3(+)
LOC: UNIT 1
PTS: 1
3. ANS:
DIF:
3
NAT: G.GPE.3(+)
LOC: UNIT 1
PTS: 1
4. ANS:
Hyperbola
DIF:
3
NAT: G.GPE.3(+)
LOC: UNIT 1
PTS: 1
5. ANS:
DIF:
2
NAT: G.GPE.3(+)
LOC: UNIT 1
DIF:
1
REF:
#5
NAT: GPE.3
DIF:
2
REF:
#6
NAT: GPE.3
DIF:
2
REF:
#7
NAT: GPE.3
Question # 5
PTS: 1
TOP: Conics
6. ANS:
Question #6
PTS: 1
TOP: Conics
7. ANS:
Question #7
PTS: 1
TOP: Conics
8. ANS:
focus:
,directrix:
Question #8
PTS: 1
TOP: Conics
9. ANS:
PTS:
TOP:
KEY:
NOT:
10. ANS:
(3, 0)
DIF:
2
REF:
#8
1
DIF: Level B
REF: MAL21285
Lesson 9.1 Apply the Distance and Midpoint Formulas
midpoint formula | perpendicular bisector | slope
978-0-618-65615-8
PTS: 1
DIF: Level A
REF: MAL21286
TOP: Lesson 9.2 Graph and Write Equations of Parabolas
BLM: Knowledge
NOT: 978-0-618-65615-8
11. ANS:
NAT: GPE.3
BLM: Knowledge
KEY:
focus | parabola
KEY:
graph | ellipse
y
10
–10
10
x
–10
PTS: 1
DIF: Level A
REF: MAL21315
TOP: Lesson 9.4 Graph and Write Equations of Ellipses
BLM: Knowledge
NOT: 978-0-618-65615-8
12. ANS:
center (–1, 5); r = 4
PTS:
TOP:
KEY:
NOT:
13. ANS:
1
DIF: Level B
REF: MAL21339
Lesson 9.6 Translate and Classify Conic Sections
solve | equation | circle | radius | center
978-0-618-65615-8
BLM: Knowledge
PTS: 1
DIF: Level B
REF: MAL21350
TOP: Lesson 9.6 Translate and Classify Conic Sections
BLM: Knowledge
NOT: 978-0-618-65615-8
14. ANS:
1
midpoint = (1, )
2
distance = 205
PTS: 1
DIF: Level B
REF: MAL21278
TOP: Lesson 9.1 Apply the Distance and Midpoint Formulas
KEY: points | midpoint | distance formula
BLM:
NOT: 978-0-618-65615-8
15. ANS:
Directrix: x = 1
Focus: (–1, 0)
PTS: 1
DIF: Level B
REF: MAL21290
TOP: Lesson 9.2 Graph and Write Equations of Parabolas
BLM: Knowledge
NOT: 978-0-618-65615-8
16. ANS:
PTS: 1
DIF: Level B
REF: MAL21293
TOP: Lesson 9.2 Graph and Write Equations of Parabolas
BLM: Knowledge
NOT: 978-0-618-65615-8
17. ANS:
PTS:
TOP:
KEY:
NOT:
18. ANS:
1
DIF: Level B
REF: MAL21296
Lesson 9.2 Graph and Write Equations of Parabolas
parabola | directrix | equation | focus
978-0-618-65615-8
an equation of the form
KEY:
equation | standard form | ellipse
NAT: NCTM 9-12.GEO.2.a
Knowledge
KEY:
parabola | directrix | axis
KEY:
graph | parabola
BLM: Knowledge
where h > 0 and k > 0, such as
PTS: 1
DIF: Level B
REF: MAL21301
TOP: Lesson 9.2 Graph and Write Equations of Parabolas
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
19. ANS:
parabola | equation | vertex
y
10
10 x
–10
–10
PTS: 1
DIF: Level B
REF: MAL21303
TOP: Lesson 9.3 Graph and Write Equations of Circles
BLM: Knowledge
NOT: 978-0-618-65615-8
20. ANS:
PTS: 1
DIF: Level B
REF: MAL21306
TOP: Lesson 9.3 Graph and Write Equations of Circles
BLM: Knowledge
NOT: 978-0-618-65615-8
21. ANS:
PTS: 1
DIF: Level B
REF: MAL21313
TOP: Lesson 9.3 Graph and Write Equations of Circles
BLM: Knowledge
NOT: 978-0-618-65615-8
22. ANS:
PTS:
1
DIF:
Level B
REF:
MAL21318
KEY:
circle | graph | plot
KEY:
graph | circle
KEY:
equation | circle
TOP: Lesson 9.4 Graph and Write Equations of Ellipses
BLM: Knowledge
NOT: 978-0-618-65615-8
23. ANS:
PTS:
TOP:
KEY:
NOT:
24. ANS:
1
DIF: Level B
REF: MAL21323
Lesson 9.4 Graph and Write Equations of Ellipses
equation | vertex | ellipse | co-vertex
978-0-618-65615-8
PTS: 1
DIF: Level B
REF: MAL21324
TOP: Lesson 9.4 Graph and Write Equations of Ellipses
BLM: Application NOT: 978-0-618-65615-8
25. ANS:
PTS:
TOP:
KEY:
NOT:
26. ANS:
1
DIF: Level B
REF: MAL21327
Lesson 9.5 Graph and Write Equations of Hyperbolas
graph | equation | conic | hyperbola
978-0-618-65615-8
1
asymptotes: y =  x
2
KEY:
graph | ellipse
BLM: Knowledge
KEY:
ellipse | equation | word
BLM: Knowledge
y
10
–10
10
x
–10
PTS:
TOP:
KEY:
NOT:
27. ANS:
1
DIF: Level B
REF: MAL21329
Lesson 9.5 Graph and Write Equations of Hyperbolas
graph | equation | asymptote | conic | hyperbola
978-0-618-65615-8
BLM: Knowledge
Asymptotes:
PTS: 1
DIF: Level B
REF: MAL21333
TOP: Lesson 9.5 Graph and Write Equations of Hyperbolas
BLM: Knowledge
NOT: 978-0-618-65615-8
28. ANS:
PTS: 1
DIF: Level B
REF: MAL21338
TOP: Lesson 9.6 Translate and Classify Conic Sections
BLM: Knowledge
NOT: 978-0-618-65615-8
29. ANS:
Center: (4, –1)
Radius: 3
KEY:
graph | hyperbola | asymptotes
KEY:
equation | circle | radius | center
PTS: 1
DIF: Level B
REF: MAL21341
TOP: Lesson 9.6 Translate and Classify Conic Sections
BLM: Knowledge
NOT: 978-0-618-65615-8
30. ANS:
Hyperbola
Center: (–7, 8)
PTS: 1
DIF: Level B
REF: MAL21345
TOP: Lesson 9.6 Translate and Classify Conic Sections
KEY: parabola | ellipse | circle | conic | hyperbola
NOT: 978-0-618-65615-8
31. ANS:
Hyperbola
KEY:
equation | circle | radius | center
BLM: Knowledge
PTS: 1
DIF: Level B
REF: MAL21347
TOP: Lesson 9.6 Translate and Classify Conic Sections
KEY: parabola | ellipse | circle | conic | hyperbola
BLM: Knowledge
NOT: 978-0-618-65615-8
32. ANS:
a. The focus would be at the point
where each unit represents one foot. Since the parabola opens to the
right, the directrix must be a vertical line. The directrix must also be the same distance from the vertex as the
focus. Therefore, the equation of the directrix is
.
b. Because the parabola opens to the right, the equation is in the form
with
. The equation is
therefore
.
c.
feet
d. If the circumference of the dish is
value of the parabola at
, the diameter of the dish must be 16. Therefore, we want to find the
by solving
for x:
. So the satellite dish is about
5.3 feet deep.
PTS: 1
DIF: Level C
REF: A2.09.02.ER.03
TOP: Lesson 9.2 Graph and Write Equations of Parabolas
KEY: Parabola | real-world | extended response
BLM: Application
NOT: 978-0-618-65615-8
33. ANS:
a. 60 feet; the equation representing the vertical cross section is the equation of a hyperbola. The vertices of
the equation are
and
. The two vertices are the points on the branches of the hyperbola that
are closest together. Therefore the diameter of the tower at its narrowest point is 60 feet.
b. About 93.72 feet; the distance from the center of the hyperbola to the top of the tower is
Substituting 60 into the equation for y yields
top of the tower is about 93.72 feet.
feet.
feet, this is the radius, therefore the diameter of the
PTS: 1
DIF: Level C
REF: A2.09.05.SR.01
TOP: Lesson 9.5 Graph and Write Equations of Hyperbolas
KEY: Hyperbola | real-world | short response
BLM: Application
NOT: 978-0-618-65615-8
34. ANS:
a. Since the range is 50 miles in every direction, the region covered by the television station is a circle with
radius 50. If we put the area on a coordinate plane with the station at the origin, the equation for the points on
the circle that are the maximum distance that this station can reach is then
.
b. Yes; The distance to the station is
. So the distance to the television station is about 39.4
miles which is within the 50 mile range of the television station.
PTS: 1
DIF: Level B
REF: A2.09.03.SR.07
NAT: NCTM 9-12.NOP.3.b | NCTM 9-12.PRS.4
TOP: Lesson 9.3 Graph and Write Equations of Circles
KEY: Circle | distance | real-world | short response
BLM: Application
NOT: 978-0-618-65615-8
35. ANS:
Sample answer: When written in standard form, the equations have the same terms, one involving the square
of x and the other involving the square of y. The order of these terms is also the same, with the term involving
y coming first. In both equations, the values of h and k indicate the center of the graph, and the values of a and
b indicate the vertices. The equations are different in that the terms of the ellipse equation are added, while the
terms of the hyperbola equation are subtracted.
PTS: 1
DIF: Level C
REF: MAL21337
NAT: NCTM 9-12.PRS.1 | NCTM 9-12.CON.2 | NCTM 9-12.GEO.4.e
TOP: Lesson 9.5 Graph and Write Equations of Hyperbolas
KEY: hyperbola | ellipse
BLM: Analysis
NOT: 978-0-618-65615-8
36. ANS:
Sample answer: When written in standard form, the equations have the same terms, one involving the square
of x and the other involving the square of y, added together. In both equations, the values of h and k indicate
the center of the graph, and the values of a and b indicate the vertices. The equations are different in that the
terms of the ellipse equation have denominators (always two unequal numbers), while the terms of the circle
equation do not have denominators.
PTS:
NAT:
TOP:
BLM:
37. ANS:
NAT:
38. ANS:
1
DIF: Level C
REF: MAL21326
NCTM 9-1.PRS.1 | NCTM 9-1.COM.2 | NCTM 9-1.PRS.4
Lesson 9.4 Graph and Write Equations of Ellipses
Analysis
NOT: 978-0-618-65615-8
D
PTS: 1
DIF: 1
F.TF.1
KEY:
ellipse | circle
REF:
#9
PTS: 1
39. ANS:
Undefined
DIF:
1
REF:
#10
NAT: F.TF.3
PTS: 1
40. ANS:
DIF:
2
REF:
#11
NAT: F.TF.3
PTS: 1
41. ANS:
DIF:
2
REF:
#12
NAT: F.TF.3
PTS: 1
42. ANS:
DIF:
2
REF:
#13
NAT: F.TF.2
PTS: 1
43. ANS:
DIF:
2
REF:
#14
NAT: F.TF.2
PTS: 1
44. ANS:
DIF:
1
REF:
#15
NAT: F.TF.3
PTS: 1
45. ANS:
DIF:
1
REF:
#16
NAT: F.TF.2
PTS: 1
46. ANS: D
NAT: F.TF.3
47. ANS:
DIF:
PTS:
1
1
REF:
DIF:
#17
2
NAT: F.TF.2
REF: #18
PTS: 1
48. ANS: C
NAT: F.TF.5
49. ANS:
DIF:
PTS:
1
1
REF:
DIF:
#19
1
NAT: F.TF.5
REF: #20
DIF:
2
REF:
#21
NAT: F.IF.7
PTS:
1
50. ANS:
57
PTS: 1
DIF: 2
REF: #22
51. ANS: C
Question #23
***Not dynamic
Created graph using https://www.desmos.com/calculator
NAT: F.IF.7
PTS: 1
52. ANS: A
Question #24
DIF:
2
NAT: F.IF.7e
TOP: Graph of Reciprocal Trig Function
****not dynamic
scramble answer choices
PTS: 1
53. ANS:
DIF:
2
NAT: F.IF.7e
TOP: Graph of Inverse Trig Function
PTS: 1
54. ANS:
DIF:
2
REF:
NAT: F.BF.4
PTS: 1
55. ANS:
DIF:
2
NAT: F.TF.6
PTS: 1
56. ANS:
DIF:
2
NAT: F.TF.7
PTS: 1
57. ANS:
DIF:
3
NAT: F.TF.7
PTS:
58. ANS:
NAT:
59. ANS:
NAT:
DIF:
PTS:
3
1
NAT: F.TF.7
DIF: 1
REF:
#30
PTS:
1
DIF:
REF:
#31
#25
Question #26
1
C
F.TF.4
A
F.TF.9
3
TOP: Compound Inverse Trig Function
60. ANS:
PTS:
61. ANS:
NAT:
62. ANS:
NAT:
63. ANS:
1
D
F.TF.8
D
F.TF.8
DIF:
PTS:
3
1
REF:
DIF:
#32
2
NAT: F.TF.9
REF: #33
PTS:
1
DIF:
2
REF:
PTS: 1
64. ANS:
DIF:
2
REF:
#35
NAT: F.TF.8
PTS: 1
65. ANS:
2,101 miles apart
DIF:
2
REF:
#36
NAT: G.SRT.10(+)
PTS: 1
66. ANS:
DIF:
3
REF:
#37
NAT: G.SRT.11(+)
PTS: 1
67. ANS:
DIF:
2
REF:
#38
NAT: G.SRT.10(+)
PTS: 1
68. ANS: A
NAT: G.SRT.10
69. ANS:
DIF:
PTS:
2
1
REF:
DIF:
#39
1
NAT: G.SRT.10(+)
REF: #40
PTS: 1
DIF: Level B
REF: MAL21793
TOP: Lesson 14.1 Graph Sine, Cosine, and Tangent Functions
BLM: Knowledge
NOT: 978-0-618-65615-8
KEY:
#34
graph | trigonometry | cosine
70. ANS:
PTS:
TOP:
KEY:
NOT:
71. ANS:
1
DIF: Level B
REF: MAL21875
Lesson 14.6 Apply Sum and Difference Formulas
angle | sum | trigonometry | cosine | difference
978-0-618-65615-8
BLM: Comprehension
y
6
– 
–


x
–6
PTS: 1
DIF: Level B
REF: MAL21799
TOP: Lesson 14.1 Graph Sine, Cosine, and Tangent Functions
BLM: Knowledge
NOT: 978-0-618-65615-8
72. ANS:
Amplitude: 2
KEY:
graph | cosine
KEY:
period | amplitude
KEY:
graph | equation | cos | shifted
KEY:
graph | equation | cos | shifted
Period:
PTS: 1
DIF: Level A
REF: MAL21802
TOP: Lesson 14.1 Graph Sine, Cosine, and Tangent Functions
BLM: Knowledge
NOT: 978-0-618-65615-8
73. ANS:
PTS: 1
DIF: Level A
REF: MAL21814
TOP: Lesson 14.2 Translate and Reflect Trigonometric Graphs
BLM: Knowledge
NOT: 978-0-618-65615-8
74. ANS:
PTS: 1
DIF: Level A
REF: MAL21818
TOP: Lesson 14.2 Translate and Reflect Trigonometric Graphs
BLM: Knowledge
NOT: 978-0-618-65615-8
75. ANS:
PTS: 1
DIF: Level B
REF: MAL21821
TOP: Lesson 14.2 Translate and Reflect Trigonometric Graphs
BLM: Knowledge
NOT: 978-0-618-65615-8
76. ANS:
;
PTS:
TOP:
KEY:
BLM:
77. ANS:
1
=
;
;
=
KEY:
;
function | sketch | sin | cycle
=
1
DIF: Level B
REF: MAL21830
Lesson 14.3 Verify Trigonometric Identities
sine | cosine | secant | tangent | cotangent | cosecant | trigonometric functions
Comprehension
NOT: 978-0-618-65615-8
PTS: 1
DIF: Level B
REF: MAL21832
TOP: Lesson 14.3 Verify Trigonometric Identities
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
78. ANS:
PTS: 1
DIF: Level B
REF: MAL21834
TOP: Lesson 14.3 Verify Trigonometric Identities
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
79. ANS:
1
PTS: 1
DIF: Level B
REF: MAL21837
TOP: Lesson 14.3 Verify Trigonometric Identities
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
80. ANS:
109.47°, 250.53°
PTS: 1
DIF: Level A
REF: MAL21854
TOP: Lesson 14.4 Solve Trigonometric Equations
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
81. ANS:
simplify | sec | sin
simplify | csc
sin | simplify | sec | cos
equation | function | trigonometric
PTS: 1
DIF: Level B
REF: MAL21858
TOP: Lesson 14.4 Solve Trigonometric Equations
KEY: solve | sin
BLM: Comprehension
NOT: 978-0-618-65615-8
82. ANS:
high tides at 12:00 noon and 12:00 midnight, depth 29 feet; low tides at 6:00 a.m. and 6:00 p.m., depth 19 feet
PTS: 1
DIF: Level B
REF: MAL21861
TOP: Lesson 14.4 Solve Trigonometric Equations
KEY: solve | equation | word | trigonometric
NOT: 978-0-618-65615-8
83. ANS:
0,  (There are other correct values.)
BLM: Application
PTS: 1
DIF: Level B
REF: MAL21863
TOP: Lesson 14.5 Write Trigonometric Models
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
84. ANS:
PTS: 1
DIF: Level B
REF: MAL21812
TOP: Lesson 14.5 Write Trigonometric Models
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
85. ANS:
PTS: 1
DIF: Level A
REF: MAL21871
TOP: Lesson 14.6 Apply Sum and Difference Formulas
KEY:
BLM: Comprehension
NOT: 978-0-618-65615-8
86. ANS:
PTS:
TOP:
KEY:
NOT:
87. ANS:
graph | trigonometric | function
sine | exact
1
DIF: Level A
REF: MAL21879
Lesson 14.7 Apply Double-Angle and Half-Angle Formulas
trigonometric function | coordinate | terminal side
BLM: Comprehension
978-0-618-65615-8
(There are other correct forms.)
PTS:
function | maximum | cos
1
DIF:
Level B
REF:
MAL21883
TOP: Lesson 14.7 Apply Double-Angle and Half-Angle Formulas
KEY: expression | sin
BLM: Comprehension
NOT: 978-0-618-65615-8
88. ANS:
PTS: 1
89. ANS:
DIF:
2
REF:
#41
NAT: A.REI.8
PTS: 1
90. ANS:
DIF:
1
REF:
#42
NAT: A.REI.8
PTS: 1
91. ANS:
DIF:
1
REF:
#43
NAT: A.REI.8
PTS: 1
92. ANS:
DIF:
2
REF:
#44
NAT: N.VM.5
PTS: 1
93. ANS:
DIF:
2
REF:
#45
NAT: N.VM.5
PTS: 1
94. ANS:
DIF:
2
REF:
#46
NAT: N.VM.8
y
10
–10
10
x
–10
PTS: 1
DIF: Level B
REF: MAL21287
TOP: Lesson 9.2 Graph and Write Equations of Parabolas
BLM: Knowledge
NOT: 978-0-618-65615-8
95. ANS:
$198 at Store 1; $203 at Store 2
PTS:
NAT:
KEY:
96. ANS:
TOP:
KEY:
97. ANS:
KEY:
1
DIF: Level C
REF: MAL20465
NCTM 9-12.NOP.2.b | NCTM 9-12.NOP.3.a
TOP:
matrix | multiplication
BLM: Application NOT:
D
PTS: 1
DIF: Level A
REF:
Lesson 3.4 Solve Systems of Linear Equations in Three Variables
model | function | three-variable BLM: Application NOT:
PTS: 1
98. ANS:
magnitude =
DIF:
2
graph | parabola
Lesson 3.6 Multiply Matrices
978-0-618-65615-8
MAL20409
978-0-618-65615-8
REF:
#47
NAT: N.VM.4
; direction =
PTS: 1
99. ANS:
DIF:
2
REF:
#48
NAT: N.VM.4b
PTS: 1
100. ANS:
DIF:
1
REF:
#49
NAT: N.VM.4
DIF:
3
REF:
#50
NAT: N.VM.5
PTS:
1
101. ANS:
PTS: 1
DIF: Level B
REF:
KEY: angle | vector | component | direction
102. ANS:
HMPC0759
TOP: Objective 5
NOT: 0-978-0-547-04983-0
PTS: 1
DIF: Level B
REF: HMPC0746
KEY: multiply | vector | component | scalar | magnitude
103. ANS:
TOP: Objective 3
NOT: 0-978-0-547-04983-0
PTS: 1
DIF: Level B
KEY: word | vector | direction
104. ANS:
PTS:
KEY:
REF: HMPC0764 TOP: Objective 6
NOT: 0-978-0-547-04983-0
1
DIF: Level B
REF:
point | vector | component | terminal
HMPC0743
TOP: Objective 2
NOT: 0-978-0-547-04983-0