second semester exam review
TRANSCRIPT
Second Semester Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
What is the solution of the equation?
____ 1.
a. 36 b. 28 c. –2 d. 44
What is the solution of the equation? Eliminate any extraneous solutions.
____ 2.
a. 1 b. 1 and
2
5
c. 1 d.
2
5
____ 3. Let and . Find f(x) g(x).
a. 10x – 8 b. 10x – 2 c. –2x – 8 d. –2x – 2
What is the inverse of the given relation?
____ 4. .
a.
c.
b.
d.
____ 5. For the function , find .
a. 14 b. 5 c. –5 d. 25
Graph the equation.
____ 6.
a.
2 4–2–4 x
2
4
–2
–4
y
c.
2 4–2–4 x
2
4
–2
–4
y
b.
2 4–2–4 x
2
4
–2
–4
y
d.
2 4–2–4 x
2
4
–2
–4
y
Evaluate the logarithm.
____ 7.
a. –3 b. 5 c. –4 d. 4
Graph the logarithmic equation.
____ 8.
a.
2 4 6–2–4–6 x
4
8
12
–4
–8
–12
y
c.
2 4 6–2–4–6 x
4
8
12
–4
–8
–12
y
b.
2 4 6–2–4–6 x
4
8
12
–4
–8
–12
y
d.
2 4 6–2–4–6 x
4
8
12
–4
–8
–12
y
Write the expression as a single logarithm.
____ 9.
a. c.
b. d.
____ 10.
a. b. c. d.
Expand the logarithmic expression.
____ 11.
a. c.
b. d.
Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.
____ 12.
a. 10.7722 b. 5 c. 2.7826 d. 0.6309
____ 13. Solve . Round to the nearest hundredth if necessary.
a. 28 b. 0.14 c. 3.57 d. 700
____ 14. Solve .
a. 6 b. 6e c. d. ln 6
Use natural logarithms to solve the equation. Round to the nearest thousandth.
____ 15.
a. –0.448 b. 0.327 c. 0.067 d. –0.046
____ 16. Suppose that x and y vary inversely, and x = 10 when y = 8. Write the function that models the inverse
variation.
a.
c.
b.
d. y = 0.8x
Sketch the asymptotes and graph the function.
____ 17.
a.
5 10–5–10 x
5
10
–5
–10
y
c.
5 10–5–10 x
5
10
–5
–10
y
b.
5 10–5–10 x
5
10
–5
–10
y
d.
5 10–5–10 x
5
10
–5
–10
y
Find any points of discontinuity for the rational function.
____ 18.
a. x = –2, x = –7 c. x = –8
b. x = 2, x = –7 d. x = 2, x = 7
____ 19. Describe the vertical asymptote(s) and hole(s) for the graph of .
a. asymptote: x = 5 and hole: x = 1
b. asymptote: x = –5 and hole: x = –1
c. asymptote: x = –3 and hole: x = 5
d. asymptote: x = 5 and hole: x = –1
____ 20. Find the horizontal asymptote of the graph of .
a. y = 1 c. no horizontal asymptote
b. y = 1 d. y = 0
What is the graph of the rational function?
____ 21.
a.
5 10–5–10 x
5
10
–5
–10
y
c.
5 10–5–10 x
5
10
–5
–10
y
b.
5 10–5–10 x
5
10
–5
–10
y
d.
5 10–5–10 x
5
10
–5
–10
y
Simplify the rational expression. State any restrictions on the variable.
____ 22.
a. c.
b. d.
What is the quotient in simplified form? State any restrictions on the variable.
____ 23.
a.
c.
b.
d.
Simplify the sum.
____ 24.
a.
c.
b.
d.
Simplify the difference.
____ 25.
a.
c.
b.
d.
Solve the equation. Check the solution.
____ 26.
a. 17
20
b. 47
4
c. 47
20
d.
47
4
____ 27.
a. –9 b. –6 c. –9 and –6 d. 6
____ 28. Write an equation of a parabola with a vertex at the origin and a directrix at y = 5.
a. c.
b.
d.
____ 29. What are the focus and directrix of the parabola with equation ?
a. focus: ; directrix: c. focus: ; directrix:
b. focus: ; directrix: d. focus: ; directrix:
____ 30. Use the graph to write an equation for the parabola.
2 4–2–4 x
2
4
–2
–4
y
a.
c.
b.
d.
____ 31. What is an equation of a parabola with a vertex at the origin and directrix x = 4.75?
a.
c.
b.
d.
Write an equation in standard form for the circle.
____ 32.
4 8 12–4–8 x
4
8
12
16
–4
y
a.
c.
b.
d.
What is the center and radius of the circle with the given equation?
____ 33.
a. center at (–4, –8); radius 9 c. center at (4, 8); radius 3
b. center at (4, 8); radius 9 d. center at (–4, –8); radius 3
What is the graph of the equation?
____ 34.
a.
8–8 x
8
–8
y c.
8–8 x
8
–8
y
b.
8–8 x
8
–8
y d.
8–8 x
8
–8
y
What is the standard-form equation of the ellipse shown?
____ 35.
4 8–4–8 x
4
8
–4
–8
y
a.
c.
b.
d.
What are the center, vertices, foci, and asymptotes of the hyperbola for the given equation? Sketch the
graph.
____ 36.
a.
8 16–8–16 x
8
16
24
–8
–16
y
Center:
Vertices: and
Foci: and
Asymptotes:
c.
8 16–8–16 x
8
16
24
–8
–16
y
Center:
Vertices: and
Foci: and
Asymptotes:
b.
8 16–8–16 x
8
16
24
–8
–16
y
Center:
Vertices: and
Foci: and
Asymptotes:
d.
8 16–8–16 x
8
16
24
–8
–16
y
Center:
Vertices: and
Foci: and
Asymptotes:
____ 37. A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are
possible for a single serving of frozen yogurt with one topping?
a. 144 b. 72 c. 36 d. 665,280
____ 38. Verne has 6 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many
more orders can Verne line up his books than Jenny?
a. 24 b. 720 c. 14 d. 696
____ 39. In how many ways can 12 basketball players be listed in a program?
a. 665,280 b. 1 c. 479,001,600 d. 12
____ 40. There are 10 students participating in a spelling bee. In how many ways can the students who go first and
second in the bee be chosen?
a. 1 way c. 3,628,800 ways
b. 90 ways d. 45 ways
____ 41. Evaluate .
a. 9 b. 1 c. 5,040 d. 7
Suppose S and T are mutually exclusive events. Find P(S or T).
____ 42. P(S) = 20%, P(T) = 22%
a. 2% b. 440% c. 42% d. 4.4%
____ 43. Joey’s sock drawer is unorganized and contains 7 black dress socks, 7 black ankle socks, 6 brown dress socks,
and 2 brown ankle socks. What is the probability that Joey will blindly reach into his sock drawer and pull out
a sock that is brown or a dress sock?
a. 15
22
c. 3
11
b. 4 d. 21
22
____ 44. The contingency table shows the results of a survey of college students. Find the probability that a student’s
first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.
First Class of the Day for College Students
Male Female
Humanities 70 80
Science 50 80
Other 60 70
a. 0.171 b. 0.467 c. 0.269 d. 0.389
____ 45. On St. Patrick’s Day, you took note of who was coming into your restaurant wearing green. What is the
probability that someone was wearing green given that the customer is female?
Wearing Green Not Wearing Green
Male 56 70
Female 29 83
a. 0.5 b. 5.23 c. 0.259 d. 0.23
Make a box-and-whisker plot of the data.
____ 46. Average daily temperatures in Tucson, Arizona, in December:
67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63
a.
48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
b.
48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
c.
48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
d.
48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth.
____ 47. The height (in feet) of a sample of trees in the school playground:
12.5, 9.8, 13.5, 11.2, 12.3, 14.2, 11.7, 9.8, 12.6, 10.4
a. mean = 11.8 ft;
standard deviation = 1.43 ft
c. mean = 11.8 ft;
standard deviation = 4.52 ft
b. mean = 13.1 ft;
standard deviation = 1.43 ft
d. mean = 13.1 ft;
standard deviation = 4.52 ft
____ 48. Mrs. Jones Algebra 2 class scored very well on yesterday’s quiz. With one exception, everyone received an A.
Within how many standard deviations from the mean do all the quiz grades fall?
91, 92, 94, 88, 96, 99, 91, 93, 94, 97, 95, 97
a. 2 b. 1 c. 3 d. 4
____ 49. Find the measure of an angle between 0 and 360 coterminal with an angle of –271 in standard position.
a. 91 b. 271 c. 89 d. 181
____ 50. Find the exact value of cos 300.
a.
c.
b.
d.
____ 51. Find the degree measure of an angle of radians.
a. 126 b.
c. 2.2 d.
Use the given circle. Find the length s to the nearest tenth.
____ 52.
2_
3
s
3 m
a. 6.3 m b. 2.0 m c. 3.1 m d. 12.6 m
What is the value of the expression? Do not use a calculator.
____ 53. tan
a. -1 c.
b. 3 d. - 3
Graph the function in the interval from 0 to 2.
____ 54. y = –4 cos 1
2
a.
2O 3
2
4
–2
–4
y c.
2O 3
2
4
–2
–4
y
b.
2O 3
2
4
–2
–4
y d.
2O 3
2
4
–2
–4
y
Find the exact value. If the expression is undefined, write undefined.
____ 55. csc 135
a. 0 b. undefined c.
d.
Use the unit circle to find the inverse function value in degrees.
____ 56. tan
a. 120° c. 60°
b. 90° d. 30°
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric
functions?
____ 57. For the point (9, 12), find csc and sec .
a. csc =
c. csc =
sec =
sec =
b. csc =
sec =
d. csc =
sec =
In ABC, C is a right angle, what is the measure of x?
____ 58.
A
B
C58.3
x
93.6
a. 31.9° b. 51.5° c. 38.5° d. 38.0°
Use the Law of Sines to find the missing side of the triangle.
____ 59. Find the measure of given = 55°, = 44°, and b = 68.
a. 45.22 c. 88.19
b. 96.68 d. 81.12
Use the Law of Cosines to find the missing angle.
____ 60. Find , given a = 11, b = 12, and c = 17.
a. = 49.9°
b. = 40.1°
c. = 45.3°
d. = 44.7°
Second Semester Exam Review
Answer Section
MULTIPLE CHOICE
1. ANS: B PTS: 1 DIF: L2
REF: 6-5 Solving Square Root and Other Radical Equations
OBJ: 6-5.1 To solve square root and other radical equations NAT: CC A.CED.4| CC A.REI.2| A.2.a
TOP: 6-5 Problem 1 Solving a Square Root Equation KEY: square root equation
2. ANS: C PTS: 1 DIF: L3
REF: 6-5 Solving Square Root and Other Radical Equations
OBJ: 6-5.1 To solve square root and other radical equations NAT: CC A.CED.4| CC A.REI.2| A.2.a
TOP: 6-5 Problem 4 Checking for Extraneous Solutions
KEY: radical equation | extraneous solution
3. ANS: D PTS: 1 DIF: L3 REF: 6-6 Function Operations
OBJ: 6-6.1 To add, subtract, multiply, and divide functions NAT: CC F.BF.1| CC F.BF.1.b| A.3.f
TOP: 6-6 Problem 1 Adding and Subtracting Functions
4. ANS: A PTS: 1 DIF: L3 REF: 6-7 Inverse Relations and Functions
OBJ: 6-7.1 To find the inverse of a relation or function NAT: CC F.BF.4.a| CC F.BF.4.c| A.1.j
STA: AL A2.6a TOP: 6-7 Problem 2 Finding an Equation for the Inverse
KEY: inverse relation
5. ANS: B PTS: 1 DIF: L2 REF: 6-7 Inverse Relations and Functions
OBJ: 6-7.1 To find the inverse of a relation or function NAT: CC F.BF.4.a| CC F.BF.4.c| A.1.j
STA: AL A2.6a TOP: 6-7 Problem 6 Composing Inverse Functions
KEY: rearrange formulas to highlight a quantity | composition of functions | inverse relations and functions
6. ANS: A PTS: 1 DIF: L2 REF: 6-8 Graphing Radical Functions
OBJ: 6-8.1 To graph square root and other radical functions
NAT: CC F.IF.7| CC F.IF.7.b| CC F.IF.8| G.2.c
TOP: 6-8 Problem 1 Translating a Square Root Function Vertically
KEY: square root function
7. ANS: C PTS: 1 DIF: L3
REF: 7-3 Logarithmic Functions as Inverses
OBJ: 7-3.1 To write and evaluate logarithmic expressions
NAT: CC A.SSE.1.b| CC F.IF.7.e| CC F.IF.8| CC F.IF.9| CC F.BF.4.a| G.2.c| A.2.h| A.3.h
STA: AL A2.3b| AL A2.3a TOP: 7-3 Problem 2 Evaluating a Logarithm
KEY: logarithm
8. ANS: A PTS: 1 DIF: L2
REF: 7-3 Logarithmic Functions as Inverses
OBJ: 7-3.2 To graph logarithmic functions
NAT: CC A.SSE.1.b| CC F.IF.7.e| CC F.IF.8| CC F.IF.9| CC F.BF.4.a| G.2.c| A.2.h| A.3.h
STA: AL A2.3b| AL A2.3a TOP: 7-3 Problem 4 Graphing a Logarithmic Function
KEY: logarithmic function
9. ANS: A PTS: 1 DIF: L3 REF: 7-4 Properties of Logarithms
OBJ: 7-4.1 To use the properties of logarithms NAT: CC F.LE.4| N.1.d| A.3.h
TOP: 7-4 Problem 1 Simplifying Logarithms
10. ANS: C PTS: 1 DIF: L2 REF: 7-4 Properties of Logarithms
OBJ: 7-4.1 To use the properties of logarithms NAT: CC F.LE.4| N.1.d| A.3.h
TOP: 7-4 Problem 1 Simplifying Logarithms
11. ANS: C PTS: 1 DIF: L3 REF: 7-4 Properties of Logarithms
OBJ: 7-4.1 To use the properties of logarithms NAT: CC F.LE.4| N.1.d| A.3.h
TOP: 7-4 Problem 2 Expanding Logarithms
12. ANS: A PTS: 1 DIF: L2
REF: 7-5 Exponential and Logarithmic Equations
OBJ: 7-5.1 To solve exponential and logarithmic equations
NAT: CC A.REI.11| CC F.LE.4| A.3.h| A.4.c STA: AL A2.7a| AL A2.3b
TOP: 7-5 Problem 5 Solving a Logarithmic Equation KEY: logarithmic equation
13. ANS: B PTS: 1 DIF: L3
REF: 7-5 Exponential and Logarithmic Equations
OBJ: 7-5.1 To solve exponential and logarithmic equations
NAT: CC A.REI.11| CC F.LE.4| A.3.h| A.4.c STA: AL A2.7a| AL A2.3b
TOP: 7-5 Problem 6 Using Logarithmic Properties to Solve an Equation
KEY: logarithmic equation
14. ANS: A PTS: 1 DIF: L4 REF: 7-6 Natural Logarithms
OBJ: 7-6.2 To solve equations using natural logarithms NAT: CC F.LE.4| A.3.h
STA: AL A2.3b TOP: 7-6 Problem 2 Solving a Natural Logarithmic Equation
KEY: natural logarithmic function
15. ANS: D PTS: 1 DIF: L3 REF: 7-6 Natural Logarithms
OBJ: 7-6.2 To solve equations using natural logarithms NAT: CC F.LE.4| A.3.h
STA: AL A2.3b TOP: 7-6 Problem 3 Solving an Exponential Equation
KEY: natural logarithmic function
16. ANS: C PTS: 1 DIF: L2 REF: 8-1 Inverse Variation
OBJ: 8-1.1 To recognize and use inverse variation NAT: CC A.CED.2| CC A.CED.4
STA: AL A2.3b TOP: 8-1 Problem 2 Determining an Inverse Variation
KEY: inverse variation
17. ANS: C PTS: 1 DIF: L3
REF: 8-2 The Reciprocal Function Family
OBJ: 8-2.2 To graph translations of reciprocal functions
NAT: CC A.CED.2| CC F.BF.1| CC F.BF.3| G.2.c STA: AL A2.3a| AL A2.3b
TOP: 8-2 Problem 3 Graphing a Translation KEY: reciprocal function
18. ANS: D PTS: 1 DIF: L3
REF: 8-3 Rational Functions and Their Graphs
OBJ: 8-3.1 To identify properties of rational functions
NAT: CC A.CED.2| CC F.IF.7| CC F.BF.1| CC F.BF.1.b| A.2.h STA: AL A2.3a
TOP: 8-3 Problem 1 Finding Points of Discontinuity
KEY: rational function | point of discontinuity | removable discontinuity | non-removable points of
discontinuity
19. ANS: A PTS: 1 DIF: L3
REF: 8-3 Rational Functions and Their Graphs
OBJ: 8-3.1 To identify properties of rational functions
NAT: CC A.CED.2| CC F.IF.7| CC F.BF.1| CC F.BF.1.b| A.2.h STA: AL A2.3a
TOP: 8-3 Problem 2 Finding Vertical Asymptotes KEY: rational function
20. ANS: B PTS: 1 DIF: L3
REF: 8-3 Rational Functions and Their Graphs
OBJ: 8-3.1 To identify properties of rational functions
NAT: CC A.CED.2| CC F.IF.7| CC F.BF.1| CC F.BF.1.b| A.2.h STA: AL A2.3a
TOP: 8-3 Problem 3 Finding Horizontal Asymptotes KEY: rational function
21. ANS: B PTS: 1 DIF: L2
REF: 8-3 Rational Functions and Their Graphs OBJ: 8-3.2 To graph rational functions
NAT: CC A.CED.2| CC F.IF.7| CC F.BF.1| CC F.BF.1.b| A.2.h STA: AL A2.3a
TOP: 8-3 Problem 4 Graphing Rational Functions KEY: rational function
22. ANS: B PTS: 1 DIF: L2 REF: 8-4 Rational Expressions
OBJ: 8-4.1 To simplify rational expressions
NAT: CC A.SSE.1| CC A.SSE.1.a| CC A.SSE.1.b| CC A.SSE.2| A.3.e
STA: AL A2.6b TOP: 8-4 Problem 1 Simplifying a Rational Expression
KEY: rational expression | simplest form
23. ANS: A PTS: 1 DIF: L3 REF: 8-4 Rational Expressions
OBJ: 8-4.2 To multiply and divide rational expressions
NAT: CC A.SSE.1| CC A.SSE.1.a| CC A.SSE.1.b| CC A.SSE.2| A.3.e
STA: AL A2.6b TOP: 8-4 Problem 3 Dividing Rational Expressions
KEY: rational expression | simplest form
24. ANS: B PTS: 1 DIF: L2
REF: 8-5 Adding and Subtracting Rational Expressions
OBJ: 8-5.1 To add and subtract rational expressions NAT: CC A.APR.7| N.5.e| A.3.c| A.3.e
STA: AL A2.6b TOP: 8-5 Problem 2 Adding Rational Expressions
25. ANS: A PTS: 1 DIF: L3
REF: 8-5 Adding and Subtracting Rational Expressions
OBJ: 8-5.1 To add and subtract rational expressions NAT: CC A.APR.7| N.5.e| A.3.c| A.3.e
STA: AL A2.6b TOP: 8-5 Problem 3 Subtracting Rational Expressions
26. ANS: A PTS: 1 DIF: L3 REF: 8-6 Solving Rational Equations
OBJ: 8-6.1 To solve rational equations
NAT: CC A.APR.6| CC A.APR.7| CC A.CED.1| CC A.REI.2| CC A.REI.11
TOP: 8-6 Problem 1 Solving a Rational Equation KEY: rational equation
27. ANS: A PTS: 1 DIF: L4 REF: 8-6 Solving Rational Equations
OBJ: 8-6.1 To solve rational equations
NAT: CC A.APR.6| CC A.APR.7| CC A.CED.1| CC A.REI.2| CC A.REI.11
TOP: 8-6 Problem 1 Solving a Rational Equation KEY: rational equation
28. ANS: C PTS: 1 DIF: L3 REF: 10-2 Parabolas
OBJ: 10-2.1 To write the equation of a parabola and to graph parabolas
NAT: CC G.GPE.2 TOP: 10-2 Problem 1 Parabolas with Equation y = ax^2
KEY: directrix
29. ANS: C PTS: 1 DIF: L4 REF: 10-2 Parabolas
OBJ: 10-2.1 To write the equation of a parabola and to graph parabolas
NAT: CC G.GPE.2 TOP: 10-2 Problem 1 Parabolas with Equation y = ax^2
KEY: directrix | focus of a parabola
30. ANS: B PTS: 1 DIF: L3 REF: 10-2 Parabolas
OBJ: 10-2.1 To write the equation of a parabola and to graph parabolas
NAT: CC G.GPE.2 TOP: 10-2 Problem 1 Parabolas with Equation y = ax^2
KEY: directrix | focus of a parabola
31. ANS: D PTS: 1 DIF: L4 REF: 10-2 Parabolas
OBJ: 10-2.1 To write the equation of a parabola and to graph parabolas
NAT: CC G.GPE.2 TOP: 10-2 Problem 2 Parabolas with Equation x = ay^2
KEY: focus of a parabola | directrix
32. ANS: C PTS: 1 DIF: L3 REF: 10-3 Circles
OBJ: 10-3.1 To write and graph the equation of a circle NAT: CC G.GPE.1| G.2.c| G.4.f
TOP: 10-3 Problem 3 Using a Graph to Write an Equation
KEY: circle | center of a circle | radius | standard form of the equation of a circle
33. ANS: C PTS: 1 DIF: L2 REF: 10-3 Circles
OBJ: 10-3.2 To find the center and radius of a circle and use them to graph the circle
NAT: CC G.GPE.1| G.2.c| G.4.f TOP: 10-3 Problem 4 Finding the Center and Radius
KEY: circle | center of a circle | radius | standard form of the equation of a circle
34. ANS: D PTS: 1 DIF: L3 REF: 10-3 Circles
OBJ: 10-3.2 To find the center and radius of a circle and use them to graph the circle
NAT: CC G.GPE.1| G.2.c| G.4.f
TOP: 10-3 Problem 5 Graphing a Circle Using Center and Radius
KEY: circle | center of a circle | radius | standard form of the equation of a circle
35. ANS: D PTS: 1 DIF: L3 REF: 10-4 Ellipses
OBJ: 10-4.1 To write the equation of an ellipse NAT: CC G.GPE.3| G.4.g
TOP: 10-4 Problem 4 Using the Foci of an Ellipse
KEY: ellipse | focus of an ellipse | major axis | center of an ellipse | minor axis | vertices of an ellipse |
co-vertices of an ellipse
36. ANS: C PTS: 1 DIF: L4 REF: 10-6 Translating Conic Sections
OBJ: 10-6.1 To write the equation of a translated conic section NAT: CC G.GPE.1| CC G.GPE.2| G.2.c
TOP: 10-6 Problem 2 Analyzing a hyperbola from its equation
37. ANS: B PTS: 1 DIF: L2
REF: 11-1 Permutations and Combinations OBJ: 11-1.1 To count permutations
NAT: CC S.CP.9| D.4.e| D.4.j
TOP: 11-1 Problem 1 Using the Fundamental Counting Principle
KEY: Fundamental Counting Principle
38. ANS: D PTS: 1 DIF: L3
REF: 11-1 Permutations and Combinations OBJ: 11-1.1 To count permutations
NAT: CC S.CP.9| D.4.e| D.4.j
TOP: 11-1 Problem 2 Find the Number of Permutations of n Items
KEY: permutation | Fundamental Counting Principle | n factorial
39. ANS: C PTS: 1 DIF: L3
REF: 11-1 Permutations and Combinations OBJ: 11-1.1 To count permutations
NAT: CC S.CP.9| D.4.e| D.4.j
TOP: 11-1 Problem 2 Find the Number of Permutations of n Items
KEY: permutation | Fundamental Counting Principle | n factorial
40. ANS: B PTS: 1 DIF: L3
REF: 11-1 Permutations and Combinations OBJ: 11-1.1 To count permutations
NAT: CC S.CP.9| D.4.e| D.4.j TOP: 11-1 Problem 3 Finding nPr
KEY: permutation | Fundamental Counting Principle | n factorial
41. ANS: D PTS: 1 DIF: L2
REF: 11-1 Permutations and Combinations OBJ: 11-1.2 To count combinations
NAT: CC S.CP.9| D.4.e| D.4.j TOP: 11-1 Problem 4 Finding nCr
KEY: combination | n factorial
42. ANS: C PTS: 1 DIF: L3 REF: 11-3 Probability of Multiple Events
OBJ: 11-3.2 To find the probability of the event A or B
NAT: CC S.CP.2| CC S.CP.5| CC S.CP.7| D.4.a| D.4.b| D.4.c| D.4.h| D.4.j
STA: AL A2.12c TOP: 11-3 Problem 4 Finding Probability for Mutually Exclusive Events
KEY: mutually exclusive events
43. ANS: A PTS: 1 DIF: L3 REF: 11-3 Probability of Multiple Events
OBJ: 11-3.2 To find the probability of the event A or B
NAT: CC S.CP.2| CC S.CP.5| CC S.CP.7| D.4.a| D.4.b| D.4.c| D.4.h| D.4.j
STA: AL A2.12c TOP: 11-3 Problem 5 Finding Probability
44. ANS: D PTS: 1 DIF: L3 REF: 11-4 Conditional Probability
OBJ: 11-4.1 To find conditional probabilities
NAT: CC S.CP.3| CC S.CP.4| CC S.CP.5| CC S.CP.6| CC S.CP.8| D.4.b| D.4.c| D.4.i| D.4.j
STA: AL A2.12b TOP: 11-4 Problem 1 Finding Conditional Probability
KEY: conditional probability | contingency table
45. ANS: C PTS: 1 DIF: L4 REF: 11-4 Conditional Probability
OBJ: 11-4.2 To use formulas and tree diagrams
NAT: CC S.CP.3| CC S.CP.4| CC S.CP.5| CC S.CP.6| CC S.CP.8| D.4.b| D.4.c| D.4.i| D.4.j
STA: AL A2.12b TOP: 11-4 Problem 3 Using the Conditional Probability Formula
KEY: conditional probability
46. ANS: A PTS: 1 DIF: L3 REF: 11-6 Analyzing Data
OBJ: 11-6.2 To draw and interpret box-and-whisker plots
NAT: CC S.IC.6| D.1.a| D.1.b| D.2.c| D.1.e| D.2.a
TOP: 11-6 Problem 4 Using a Box-and-Whisker Plot
KEY: median | quartile | box-and-whisker plot
47. ANS: A PTS: 1 DIF: L4 REF: 11-7 Standard Deviation
OBJ: 11-7.1 To find the standard deviation and variance of a set of values
NAT: CC S.ID.4| CC S.IC.6| D.1.c
TOP: 11-7 Problem 2 Using a Calculator to Find Standard Deviation
KEY: mean | standard deviation
48. ANS: A PTS: 1 DIF: L3 REF: 11-7 Standard Deviation
OBJ: 11-7.2 To apply standard deviation and variance NAT: CC S.ID.4| CC S.IC.6| D.1.c
TOP: 11-7 Problem 3 Using Standard Deviation to Predict KEY: standard deviation | mean
49. ANS: C PTS: 1 DIF: L3 REF: 13-2 Angles and the Unit Circle
OBJ: 13-2.1 To work with angles in standard position NAT: CC F.TF.2
TOP: 13-2 Problem 3 Identifying Coterminal Angles KEY: coterminal angles
50. ANS: B PTS: 1 DIF: L3 REF: 13-2 Angles and the Unit Circle
OBJ: 13-2.2 To find coordinates of points on the unit circle NAT: CC F.TF.2
TOP: 13-2 Problem 5 Finding Exact Values of Cosine and Sine
KEY: cosine of theta
51. ANS: A PTS: 1 DIF: L3 REF: 13-3 Radian Measure
OBJ: 13-3.1 To use radian measure for angles NAT: CC F.TF.1| M.3.e
TOP: 13-3 Problem 1 Using Dimensional Analysis
KEY: central angle | intercepted arc | radian
52. ANS: A PTS: 1 DIF: L3 REF: 13-3 Radian Measure
OBJ: 13-3.2 To find the length of an arc of a circle NAT: CC F.TF.1| M.3.e
TOP: 13-3 Problem 3 Finding the Length of an Arc
KEY: central angle | intercepted arc | radian
53. ANS: C PTS: 1 DIF: L3 REF: 13-6 The Tangent Function
OBJ: 13-6.1 To graph the tangent function
NAT: CC F.IF.7.e| CC F.TF.2| CC F.TF.5| M.3.c
TOP: 13-6 Problem 1 Finding Tangents Geometrically KEY: tangent of theta | tangent function
54. ANS: D PTS: 1 DIF: L3
REF: 13-7 Translating Sine and Cosine Functions
OBJ: 13-7.1 To graph translations of trigonometric functions NAT: CC F.IF.7.e| CC F.TF.5| A.2.d
TOP: 13-7 Problem 4 Graphing a Translation of y = sin 2x KEY: phase shift
55. ANS: D PTS: 1 DIF: L3
REF: 13-8 Reciprocal Trigonometric Functions
OBJ: 13-8.1 To evaluate reciprocal trigonometric functions NAT: CC F.IF.7.e
TOP: 13-8 Problem 1 Finding Values Geometrically KEY: cosecant
56. ANS: C PTS: 1 DIF: L3
REF: 14-2 Solving Trigonometric Equations Using Inverses
OBJ: 14-2.1 To evaluate inverse trigonometric functions NAT: CC F.TF.6| CC F.TF.7
TOP: 14-2 Problem 1 Using the Unit Circle
57. ANS: A PTS: 1 DIF: L3
REF: 14-3 Right Triangles and Trigonometric Ratios
OBJ: 14-3.1 To find lengths of sides in a right angle NAT: CC G.SRT.6| CC G.SRT.8
TOP: 14-3 Problem 1 Trigonometric Values Beyond the Unit Circle
KEY: trigonometric ratios
58. ANS: B PTS: 1 DIF: L3
REF: 14-3 Right Triangles and Trigonometric Ratios
OBJ: 14-3.2 To find measures of angles in a right triangle NAT: CC G.SRT.6| CC G.SRT.8
TOP: 14-3 Problem 5 Finding an Angle Measure KEY: trigonometric ratios
59. ANS: B PTS: 1 DIF: L4 REF: 14-4 Area and the Law of Sines
OBJ: 14-4.2 To use the Law of Sines NAT: CC G.SRT.9| CC G.SRT.10| CC G.SRT.11| M.3.g
TOP: 14-4 Problem 2 Finding the Side of a Triangle KEY: Law of Sines
60. ANS: D PTS: 1 DIF: L3 REF: 14-5 The Law of Cosines
OBJ: 14-5.1 To use the Law of Cosines in finding the measures of sides and angles of a triangle
NAT: CC G.SRT.10| CC G.SRT.11| M.3.g
TOP: 14-5 Problem 3 Finding an Angle Measure KEY: Law of Cosines