second semester exam review

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;


b. mean = 13.1 ft;


d. mean = 13.1 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


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


TOP: 7-4 Problem 1 Simplifying Logarithms

11. ANS: C PTS: 1 DIF: L3 REF: 7-4 Properties of Logarithms


TOP: 7-4 Problem 2 Expanding Logarithms


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


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


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





TOP: 8-3 Problem 2 Finding Vertical Asymptotes KEY: rational function





TOP: 8-3 Problem 3 Finding Horizontal Asymptotes KEY: rational function


REF: 8-3 Rational Functions and Their Graphs OBJ: 8-3.2 To graph rational functions


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


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


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



KEY: directrix | focus of a parabola

30. ANS: B PTS: 1 DIF: L3 REF: 10-2 Parabolas



KEY: directrix | focus of a parabola

31. ANS: D PTS: 1 DIF: L4 REF: 10-2 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


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


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


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




TOP: 11-1 Problem 2 Find the Number of Permutations of n Items

KEY: permutation | Fundamental Counting Principle | n factorial




TOP: 11-1 Problem 2 Find the Number of Permutations of n Items




NAT: CC S.CP.9| D.4.e| D.4.j TOP: 11-1 Problem 3 Finding nPr



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


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


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


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


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


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

second semester exam review

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