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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.


Identify the equation of the ellipse that has :

co-vertices (2, 4) and (2, 0) and

foci (5, 2) and (-1, 2).


Identify the equation of the hyperbola that has co-vertices (2, 4) and (2, 0) and foci (5, 2) and (-1, 2).


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 and a radius of 4.


Find the equation of the ellipse shown below.

1 2 3 4 5 6 7 8 9–1–2–3 x

1

2

3

4

5

6

7

–1

–2

–3

–4

–5

y


Find the equation of the hyperbola graphed below.

2 4 6 8 10 12 14 16–2–4–6–8 x

2

4

6

8

10

12

14

–2

–4

–6

–8

–10

y

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 and .

10. Find the focus of the parabola:

11. Graph

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

10–10 x

10

–10

y

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:

10–10 x

10

–10

y

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. 51.20°b. 86.43°c. 106.98°d. 128.57°

38.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?


Determine the area of on the unit circle below.


=


Find the exact value of the .


Find the exact value of the .

____ 46.Standard (F.TF.3)

Which of the following is a coterminal angle with ?

a.

b.

c.

d.


The period of the graph shown below is


Which graph represents the function in the interval ?

a.

b.

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 . What is the maximum altitude of the roller coaster?

____ 51.Standard (F.IF.7e))

Choose the correct equation for the graph below.

a. c.

b. d.

____ 52.Standard (F.IF.7e))

Choose the correct graph for a.

0.5 1 1.5 2–0.5–1–1.5–2 x

0.5

1

1.5

2

–0.5

–1

–1.5

–2

y c.

0.5 1 1.5 2–0.5–1–1.5–2 x

0.5

1

1.5

2

–0.5

–1

–1.5

–2

y

b.

0.5 1 1.5 2–0.5–1–1.5–2 x

0.5

1

1.5

2

–0.5

–1

–1.5

–2

y d.

0.5 1 1.5 2–0.5–1–1.5–2 x

0.5

1

1.5

2

–0.5

–1

–1.5

–2

y

53. Standard (F.BF.4)

Determine the value of on the unit circle, below.

54.Standard (F.TF.6))

Evaluate


Solve for on the interval .


Solve for x on the interval .


Solve on the interval

____ 58.

Standard (F.TF.4 (+))

a.

b.

c.

d.

____ 59.Standard (F.TF.9(+))

The expression is equivalent to:

a.b.c.d.


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.


Which is a trigonometric identity?a.

b.

c.d.


Use trigonometric identities to simplify.

64.Standard (G.SRT.10(+))

Find the measure of to the nearest whole degree.


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?


Given in which Solve the triangle.


Given in which , , and . Solve the triangle.

____ 68.Standard (G.SRT.10)

Which formula below is the Law of Sines?

a.

b.

c.d.

69. Graph y = cos x

70. Find THE EXACT VALUE of given that sin A = with A and cos B = with

.

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:



80. Solve in the interval 0° 360°.

81. Solve in the interval

82. Suppose the depth of the tide in a certain harbor can be modeled by , where y is the water depth in feet and t is the time in hours. Consider a day in which represents 12:00 midnight. For that day, when are high and low tide and what is the depth of each?

83. Write two x-values at which the function has a maximum.

84. Write the equation for the sine function below. (The period is 2.)

– – x

5

–5

y

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?


Solve the following system of equations using matrices.


Rewrite the following system of equations in matrix form.

91.Standard (N.VM.5)

Find the inverse of matrix A below, if it exists.


Find the inverse of matrix A below, if it exists.

Find the inverse of the matrix , if it exists.


Perform the indicated operation.

94. Sketch the graph of the equation .

10–10 x

10

–10

y

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.


Given vectors , find .

98.Standard (N.VM.4b)

What are the magnitude and direction of the resultant vector w = 4u – 5v if u = and

v = .


Given vector u = and vector v = , find u – v.


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 at 54 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

ACCELERATED PRECALCULUS STUDY GUIDE FOR THE SLOAnswer Section

1. ANS:

PTS: 1 DIF: 2 NAT: G.GPE.3(+) LOC: UNIT 12. ANS:



Hyperbola


Question # 5

PTS: 1 DIF: 1 REF: #5 NAT: GPE.3TOP: Conics

6. ANS:

Question #6


7. ANS:

Question #7


8. ANS:

focus: ,directrix: Question #8


9. ANS:

PTS: 1 DIF: Level B REF: MAL21285TOP: Lesson 9.1 Apply the Distance and Midpoint FormulasKEY: midpoint formula | perpendicular bisector | slope BLM: KnowledgeNOT: 978-0-618-65615-8

10. ANS:(3, 0)

PTS: 1 DIF: Level A REF: MAL21286TOP: Lesson 9.2 Graph and Write Equations of Parabolas KEY: focus | parabolaBLM: Knowledge NOT: 978-0-618-65615-8

11. ANS:

10–10 x

10

–10

y

PTS: 1 DIF: Level A REF: MAL21315TOP: Lesson 9.4 Graph and Write Equations of Ellipses KEY: graph | ellipseBLM: Knowledge NOT: 978-0-618-65615-8

12. ANS:center (–1, 5); r = 4

PTS: 1 DIF: Level B REF: MAL21339TOP: Lesson 9.6 Translate and Classify Conic SectionsKEY: solve | equation | circle | radius | center BLM: KnowledgeNOT: 978-0-618-65615-8

13. ANS:

PTS: 1 DIF: Level B REF: MAL21350TOP: Lesson 9.6 Translate and Classify Conic Sections KEY: equation | standard form | ellipseBLM: Knowledge NOT: 978-0-618-65615-8

14. ANS:

midpoint = ( 1, 12 )

distance = 205

PTS: 1 DIF: Level B REF: MAL21278 NAT: NCTM 9-12.GEO.2.aTOP: Lesson 9.1 Apply the Distance and Midpoint FormulasKEY: points | midpoint | distance formula BLM: KnowledgeNOT: 978-0-618-65615-8

15. ANS:Directrix: x = 1Focus: (–1, 0)

PTS: 1 DIF: Level B REF: MAL21290TOP: Lesson 9.2 Graph and Write Equations of Parabolas KEY: parabola | directrix | axisBLM: Knowledge NOT: 978-0-618-65615-8

16. ANS:

PTS: 1 DIF: Level B REF: MAL21293TOP: Lesson 9.2 Graph and Write Equations of Parabolas KEY: graph | parabolaBLM: Knowledge NOT: 978-0-618-65615-8

17. ANS:

PTS: 1 DIF: Level B REF: MAL21296TOP: Lesson 9.2 Graph and Write Equations of ParabolasKEY: parabola | directrix | equation | focus BLM: KnowledgeNOT: 978-0-618-65615-8

18. ANS:

an equation of the form where h > 0 and k > 0, such as

PTS: 1 DIF: Level B REF: MAL21301TOP: Lesson 9.2 Graph and Write Equations of Parabolas KEY: parabola | equation | vertexBLM: Comprehension NOT: 978-0-618-65615-8

19. ANS:

10–10 x

10

–10

y

PTS: 1 DIF: Level B REF: MAL21303TOP: Lesson 9.3 Graph and Write Equations of Circles KEY: circle | graph | plotBLM: Knowledge NOT: 978-0-618-65615-8

20. ANS:

PTS: 1 DIF: Level B REF: MAL21306TOP: Lesson 9.3 Graph and Write Equations of Circles KEY: graph | circleBLM: Knowledge NOT: 978-0-618-65615-8

21. ANS:

PTS: 1 DIF: Level B REF: MAL21313TOP: Lesson 9.3 Graph and Write Equations of Circles KEY: equation | circleBLM: Knowledge NOT: 978-0-618-65615-8

22. ANS:

PTS: 1 DIF: Level B REF: MAL21318TOP: Lesson 9.4 Graph and Write Equations of Ellipses KEY: graph | ellipseBLM: Knowledge NOT: 978-0-618-65615-8

23. ANS:

PTS: 1 DIF: Level B REF: MAL21323TOP: Lesson 9.4 Graph and Write Equations of EllipsesKEY: equation | vertex | ellipse | co-vertex BLM: KnowledgeNOT: 978-0-618-65615-8

24. ANS:

PTS: 1 DIF: Level B REF: MAL21324TOP: Lesson 9.4 Graph and Write Equations of Ellipses KEY: ellipse | equation | wordBLM: Application NOT: 978-0-618-65615-8

25. ANS:

PTS: 1 DIF: Level B REF: MAL21327TOP: Lesson 9.5 Graph and Write Equations of HyperbolasKEY: graph | equation | conic | hyperbola BLM: KnowledgeNOT: 978-0-618-65615-8

26. ANS:

asymptotes: y = 12x

10–10 x

10

–10

y

PTS: 1 DIF: Level B REF: MAL21329TOP: Lesson 9.5 Graph and Write Equations of HyperbolasKEY: graph | equation | asymptote | conic | hyperbola BLM: KnowledgeNOT: 978-0-618-65615-8

27. ANS:

Asymptotes:

PTS: 1 DIF: Level B REF: MAL21333TOP: Lesson 9.5 Graph and Write Equations of Hyperbolas KEY: graph | hyperbola | asymptotesBLM: Knowledge NOT: 978-0-618-65615-8

28. ANS:

PTS: 1 DIF: Level B REF: MAL21338TOP: Lesson 9.6 Translate and Classify Conic Sections KEY: equation | circle | radius | centerBLM: Knowledge NOT: 978-0-618-65615-8

29. ANS:

Center: (4, –1)Radius: 3

PTS: 1 DIF: Level B REF: MAL21341TOP: Lesson 9.6 Translate and Classify Conic Sections KEY: equation | circle | radius | centerBLM: Knowledge NOT: 978-0-618-65615-8

30. ANS:HyperbolaCenter: (–7, 8)

PTS: 1 DIF: Level B REF: MAL21345TOP: Lesson 9.6 Translate and Classify Conic SectionsKEY: parabola | ellipse | circle | conic | hyperbola BLM: KnowledgeNOT: 978-0-618-65615-8

31. ANS:Hyperbola

PTS: 1 DIF: Level B REF: MAL21347TOP: Lesson 9.6 Translate and Classify Conic SectionsKEY: parabola | ellipse | circle | conic | hyperbola BLM: KnowledgeNOT: 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. feetd. If the circumference of the dish is , the diameter of the dish must be 16. Therefore, we want to find the

value of the parabola at by solving for x: . So the satellite dish is about 5.3 feet deep.

PTS: 1 DIF: Level C REF: A2.09.02.ER.03TOP: Lesson 9.2 Graph and Write Equations of ParabolasKEY: Parabola | real-world | extended response BLM: ApplicationNOT: 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 feet. Substituting 60 into the equation for y yields feet, this is the radius, therefore the diameter of the top of the tower is about 93.72 feet.

PTS: 1 DIF: Level C REF: A2.09.05.SR.01TOP: Lesson 9.5 Graph and Write Equations of Hyperbolas

KEY: Hyperbola | real-world | short response BLM: ApplicationNOT: 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.07NAT: NCTM 9-12.NOP.3.b | NCTM 9-12.PRS.4TOP: Lesson 9.3 Graph and Write Equations of CirclesKEY: Circle | distance | real-world | short response BLM: ApplicationNOT: 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: MAL21337NAT: NCTM 9-12.PRS.1 | NCTM 9-12.CON.2 | NCTM 9-12.GEO.4.eTOP: Lesson 9.5 Graph and Write Equations of Hyperbolas KEY: hyperbola | ellipseBLM: 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: 1 DIF: Level C REF: MAL21326NAT: NCTM 9-1.PRS.1 | NCTM 9-1.COM.2 | NCTM 9-1.PRS.4TOP: Lesson 9.4 Graph and Write Equations of Ellipses KEY: ellipse | circleBLM: Analysis NOT: 978-0-618-65615-8

37. ANS: D PTS: 1 DIF: 1 REF: #9NAT: F.TF.1

38. ANS:

PTS: 1 DIF: 1 REF: #10 NAT: F.TF.339. ANS:

Undefined

PTS: 1 DIF: 2 REF: #11 NAT: F.TF.3

40. ANS:






PTS: 1 DIF: 1 REF: #17 NAT: F.TF.246. ANS: D PTS: 1 DIF: 2 REF: #18

NAT: F.TF.347. ANS:

PTS: 1 DIF: 1 REF: #19 NAT: F.TF.548. ANS: C PTS: 1 DIF: 1 REF: #20

NAT: F.TF.549. ANS:

PTS: 1 DIF: 2 REF: #21 NAT: F.IF.750. ANS:

57

PTS: 1 DIF: 2 REF: #22 NAT: F.IF.751. ANS: C

Question #23***Not dynamicCreated graph using https://www.desmos.com/calculator

PTS: 1 DIF: 2 NAT: F.IF.7e TOP: Graph of Reciprocal Trig Function52. ANS: A

Question #24

****not dynamicscramble answer choices

PTS: 1 DIF: 2 NAT: F.IF.7e TOP: Graph of Inverse Trig Function53. ANS:

PTS: 1 DIF: 2 REF: #25 NAT: F.BF.454. ANS:

Question #26

PTS: 1 DIF: 2 NAT: F.TF.6 TOP: Compound Inverse Trig Function55. ANS:

PTS: 1 DIF: 2 NAT: F.TF.756. ANS:

PTS: 1 DIF: 3 NAT: F.TF.757. ANS:

PTS: 1 DIF: 3 NAT: F.TF.758. ANS: C PTS: 1 DIF: 1 REF: #30

NAT: F.TF.4

59. ANS: A PTS: 1 DIF: 3 REF: #31NAT: F.TF.9

60. ANS:

PTS: 1 DIF: 3 REF: #32 NAT: F.TF.961. ANS: D PTS: 1 DIF: 2 REF: #33

NAT: F.TF.862. ANS: D PTS: 1 DIF: 2 REF: #34

NAT: F.TF.863. ANS:


PTS: 1 DIF: 2 REF: #36 NAT: G.SRT.10(+)65. ANS:

2,101 miles apart



PTS: 1 DIF: 2 REF: #39 NAT: G.SRT.10(+)68. ANS: A PTS: 1 DIF: 1 REF: #40

NAT: G.SRT.1069. ANS:

PTS: 1 DIF: Level B REF: MAL21793

TOP: Lesson 14.1 Graph Sine, Cosine, and Tangent Functions KEY: graph | trigonometry | cosineBLM: Knowledge NOT: 978-0-618-65615-8

70. ANS:

PTS: 1 DIF: Level B REF: MAL21875TOP: Lesson 14.6 Apply Sum and Difference FormulasKEY: angle | sum | trigonometry | cosine | difference BLM: ComprehensionNOT: 978-0-618-65615-8

71. ANS:

– – x

6

–6

y

PTS: 1 DIF: Level B REF: MAL21799TOP: Lesson 14.1 Graph Sine, Cosine, and Tangent Functions KEY: graph | cosineBLM: Knowledge NOT: 978-0-618-65615-8

72. ANS:Amplitude: 2

Period:

PTS: 1 DIF: Level A REF: MAL21802TOP: Lesson 14.1 Graph Sine, Cosine, and Tangent Functions KEY: period | amplitudeBLM: Knowledge NOT: 978-0-618-65615-8

73. ANS:

PTS: 1 DIF: Level A REF: MAL21814TOP: Lesson 14.2 Translate and Reflect Trigonometric Graphs KEY: graph | equation | cos | shiftedBLM: Knowledge NOT: 978-0-618-65615-8

74. ANS:

PTS: 1 DIF: Level A REF: MAL21818TOP: Lesson 14.2 Translate and Reflect Trigonometric Graphs KEY: graph | equation | cos | shiftedBLM: Knowledge NOT: 978-0-618-65615-8

75. ANS:

PTS: 1 DIF: Level B REF: MAL21821TOP: Lesson 14.2 Translate and Reflect Trigonometric Graphs KEY: function | sketch | sin | cycleBLM: Knowledge NOT: 978-0-618-65615-8

76. ANS:

; = ; ; = ; =

PTS: 1 DIF: Level B REF: MAL21830TOP: Lesson 14.3 Verify Trigonometric IdentitiesKEY: sine | cosine | secant | tangent | cotangent | cosecant | trigonometric functionsBLM: Comprehension NOT: 978-0-618-65615-8

77. ANS:1

PTS: 1 DIF: Level B REF: MAL21832TOP: Lesson 14.3 Verify Trigonometric Identities KEY: simplify | sec | sinBLM: Comprehension NOT: 978-0-618-65615-8

78. ANS:

PTS: 1 DIF: Level B REF: MAL21834TOP: Lesson 14.3 Verify Trigonometric Identities KEY: simplify | cscBLM: Comprehension NOT: 978-0-618-65615-8

79. ANS:1

PTS: 1 DIF: Level B REF: MAL21837TOP: Lesson 14.3 Verify Trigonometric Identities KEY: sin | simplify | sec | cosBLM: Comprehension NOT: 978-0-618-65615-8

80. ANS:109.47°, 250.53°

PTS: 1 DIF: Level A REF: MAL21854TOP: Lesson 14.4 Solve Trigonometric Equations KEY: equation | function | trigonometricBLM: Comprehension NOT: 978-0-618-65615-8

81. ANS:

PTS: 1 DIF: Level B REF: MAL21858TOP: Lesson 14.4 Solve Trigonometric Equations KEY: solve | sinBLM: 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: MAL21861TOP: Lesson 14.4 Solve Trigonometric EquationsKEY: solve | equation | word | trigonometric BLM: ApplicationNOT: 978-0-618-65615-8

83. ANS:0, (There are other correct values.)

PTS: 1 DIF: Level B REF: MAL21863TOP: Lesson 14.5 Write Trigonometric Models KEY: function | maximum | cosBLM: Comprehension NOT: 978-0-618-65615-8

84. ANS:

PTS: 1 DIF: Level B REF: MAL21812TOP: Lesson 14.5 Write Trigonometric Models KEY: graph | trigonometric | functionBLM: Comprehension NOT: 978-0-618-65615-8

85. ANS:

PTS: 1 DIF: Level A REF: MAL21871TOP: Lesson 14.6 Apply Sum and Difference Formulas KEY: sine | exactBLM: Comprehension NOT: 978-0-618-65615-8

86. ANS:

PTS: 1 DIF: Level A REF: MAL21879TOP: Lesson 14.7 Apply Double-Angle and Half-Angle FormulasKEY: trigonometric function | coordinate | terminal side BLM: ComprehensionNOT: 978-0-618-65615-8

87. ANS:

(There are other correct forms.)

PTS: 1 DIF: Level B REF: MAL21883

TOP: Lesson 14.7 Apply Double-Angle and Half-Angle FormulasKEY: expression | sin BLM: ComprehensionNOT: 978-0-618-65615-8

88. ANS:

PTS: 1 DIF: 2 REF: #41 NAT: A.REI.889. ANS:



PTS: 1 DIF: 2 REF: #44 NAT: N.VM.592. ANS:



10–10 x

10

–10

y

PTS: 1 DIF: Level B REF: MAL21287TOP: Lesson 9.2 Graph and Write Equations of Parabolas KEY: graph | parabolaBLM: Knowledge NOT: 978-0-618-65615-8

95. ANS:$198 at Store 1; $203 at Store 2

PTS: 1 DIF: Level C REF: MAL20465NAT: NCTM 9-12.NOP.2.b | NCTM 9-12.NOP.3.a TOP: Lesson 3.6 Multiply MatricesKEY: matrix | multiplication BLM: Application NOT: 978-0-618-65615-8

96. ANS: D PTS: 1 DIF: Level A REF: MAL20409TOP: Lesson 3.4 Solve Systems of Linear Equations in Three VariablesKEY: model | function | three-variable BLM: Application NOT: 978-0-618-65615-8

97. ANS:


magnitude = ; direction =

PTS: 1 DIF: 2 REF: #48 NAT: N.VM.4b99. ANS:


PTS: 1 DIF: 3 REF: #50 NAT: N.VM.5

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