Second Semester Exam Review

Transcription

1 Second Semester Exam Review Multiple Choice Identif the choice that best completes the statement or answers the question. What is the solution of the equation? 1. a. 36 b. 2 c. 2 d. What is the solution of the equation? Eliminate an extraneous solutions. 2. a. 1 b. 1 and 2 5 c. 1 d Let and. Find f(x) g(x). a. 10x b. 10x 2 c. 2x d. 2x 2 What is the inverse of the given relation?.. 5. For the function, find. a. 1 b. 5 c. 5 d. 25 Graph the equation. 6. a. c x x 2

2 b. d x x 2 Evaluate the logarithm. 7. a. 3 b. 5 c. d. Graph the logarithmic equation.. a. 12 c x x 12

3 b. 12 d x x 12 Write the expression as a single logarithm a. b. c. d. Expand the logarithmic expression. 11. Solve the logarithmic equation. Round to the nearest ten-thousandth if necessar. 12. a b. 5 c d Solve. Round to the nearest hundredth if necessar. a. 2 b. 0.1 c d Solve. a. 6 b. 6e c. d. ln 6 Use natural logarithms to solve the equation. Round to the nearest thousandth. 15. a. 0. b c d Suppose that x and var inversel, and x = 10 when =. Write the function that models the inverse variation.

4 = 0.x Sketch the asmptotes and graph the function. 17. a. 10 c x x b. 10 d x x Find an points of discontinuit for the rational function. 1. a. x = 2, x = 7 c. x = b. x = 2, x = 7 d. x = 2, x = Describe the vertical asmptote(s) and hole(s) for the graph of. a. asmptote: x = 5 and hole: x = 1 b. asmptote: x = 5 and hole: x = 1 c. asmptote: x = 3 and hole: x = 5

5 d. asmptote: x = 5 and hole: x = Find the horizontal asmptote of the graph of. a. = 1 c. no horizontal asmptote b. = 1 d. = 0 What is the graph of the rational function? 21. a. 10 c x x b. 10 d x x Simplif the rational expression. State an restrictions on the variable. 22. What is the quotient in simplified form? State an restrictions on the variable.

6 23. Simplif the sum. 2. Simplif the difference. 25. Solve the equation. Check the solution. 26. a b. 7 c d a. 9 b. 6 c. 9 and 6 d Write an equation of a parabola with a vertex at the origin and a directrix at = What are the focus and directrix of the parabola with equation? a. focus: ; directrix: c. focus: ; directrix: b. focus: ; directrix: d. focus: ; directrix:

7 30. Use the graph to write an equation for the parabola x What is an equation of a parabola with a vertex at the origin and directrix x =.75? Write an equation in standard form for the circle x What is the center and radius of the circle with the given equation?

8 33. a. center at (, ); radius 9 c. center at (, ); radius 3 b. center at (, ); radius 9 d. center at (, ); radius 3 What is the graph of the equation? 3. a. c. x x b. d. x x What is the standard-form equation of the ellipse shown? 35.

9 x What are the center, vertices, foci, and asmptotes of the hperbola for the given equation? Sketch the graph. 36. a. 2 c Center: Center: x x Vertices: and Vertices: and Foci: and Foci: and Asmptotes: Asmptotes:

10 b. 2 d Center: Center: x x Vertices: and Vertices: and Foci: and Foci: and Asmptotes: Asmptotes: 37. A ogurt shop offers 6 different flavors of frozen ogurt and 12 different toppings. How man choices are possible for a single serving of frozen ogurt with one topping? a. 1 b. 72 c. 36 d. 665,20 3. Verne has 6 math books to line up on a shelf. Jenn has English books to line up on a shelf. In how man more orders can Verne line up his books than Jenn? a. 2 b. 720 c. 1 d In how man was can 12 basketball plaers be listed in a program? a. 665,20 b. 1 c. 79,001,600 d There are 10 students participating in a spelling bee. In how man was can the students who go first and second in the bee be chosen? a. 1 wa c. 3,62,00 was b. 90 was d. 5 was 1. Evaluate. a. 9 b. 1 c. 5,00 d. 7 Suppose S and T are mutuall exclusive events. Find P(S or T). 2. P(S) = 20%, P(T) = 22% a. 2% b. 0% c. 2% d..% 3. Joe 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 probabilit that Joe will blindl reach into his sock drawer and pull out a sock that is brown or a dress sock? a c. 3 11

11 b. d The contingenc table shows the results of a surve of college students. Find the probabilit that a student s first class of the da is a humanities class, given the student is male. Round to the nearest thousandth. First Class of the Da for College Students Male Female Humanities 70 0 Science 50 0 Other a b c d On St. Patrick s Da, ou took note of who was coming into our restaurant wearing green. What is the probabilit that someone was wearing green given that the customer is female? Wearing Green Not Wearing Green Male Female 29 3 a. 0.5 b c d Make a box-and-whisker plot of the data. 6. Average dail temperatures in Tucson, Arizona, in December: 67, 57, 52, 51, 6, 5, 67, 5, 55, 59, 66, 50, 57, 62, 5, 50, 5, 50, 60, 63 a. b. c. d Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth. 7. The height (in feet) of a sample of trees in the school plaground: 12.5, 9., 13.5, 11.2, 12.3, 1.2, 11.7, 9., 12.6, 10. a. mean = 11. ft; c. mean = 11. ft; standard deviation = 1.3 ft standard deviation =.52 ft b. mean = 13.1 ft; d. mean = 13.1 ft; standard deviation = 1.3 ft standard deviation =.52 ft

12 . Mrs. Jones Algebra 2 class scored ver well on esterda s quiz. With one exception, everone received an A. Within how man standard deviations from the mean do all the quiz grades fall? 91, 92, 9,, 96, 99, 91, 93, 9, 97, 95, 97 a. 2 b. 1 c. 3 d. 9. Find the measure of an angle between 0 and 360 coterminal with an angle of 271 in standard position. a. 91 b. 271 c. 9 d Find the exact value of cos 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. s 2_ 3 3 m a. 6.3 m b. 2.0 m c. 3.1 m d 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 = cos 1 2

13 a. c. 2 2 O 2 O b. d. 2 2 O 2 O 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 b the point (x, ), what are the values of the trigonometric functions? 57. For the point (9, 12), find csc and sec. a. csc = c. csc = sec =

14 sec = b. csc = d. csc = sec = sec = In ABC, C is a right angle, what is the measure of x? 5. B 93.6 A x 5.3 C a b c. 3.5 d. 3.0 Use the Law of Sines to find the missing side of the triangle. 59. Find the measure of given = 55, =, and b = 6. a c..19 b d Use the Law of Cosines to find the missing angle. 60. Find, given a = 11, b = 12, and c = 17. a. = 9.9 b. = 0.1 c. = 5.3 d. =.7

15 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: To solve square root and other radical equations TOP: 6-5 Problem 1 Solving a Square Root Equation 2. ANS: C PTS: 1 DIF: L3 REF: 6-5 Solving Square Root and Other Radical Equations OBJ: To solve square root and other radical equations TOP: 6-5 Problem Checking for Extraneous Solutions KEY: radical equation extraneous solution NAT: CC A.CED. CC A.REI.2 A.2.a KEY: square root equation NAT: CC A.CED. CC A.REI.2 A.2.a 3. ANS: D PTS: 1 DIF: L3 REF: 6-6 Function Operations OBJ: To add, subtract, multipl, 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. ANS: A PTS: 1 DIF: L3 REF: 6-7 Inverse Relations and Functions OBJ: To find the inverse of a relation or function NAT: CC F.BF..a CC F.BF..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: To find the inverse of a relation or function NAT: CC F.BF..a CC F.BF..c A.1.j STA: AL A2.6a TOP: 6-7 Problem 6 Composing Inverse Functions KEY: rearrange formulas to highlight a quantit composition of functions inverse relations and functions 6. ANS: A PTS: 1 DIF: L2 REF: 6- Graphing Radical Functions OBJ: 6-.1 To graph square root and other radical functions NAT: CC F.IF.7 CC F.IF.7.b CC F.IF. G.2.c TOP: 6- Problem 1 Translating a Square Root Function Verticall KEY: square root function 7. ANS: C PTS: 1 DIF: L3 REF: 7-3 Logarithmic Functions as Inverses OBJ: To write and evaluate logarithmic expressions NAT: CC A.SSE.1.b CC F.IF.7.e CC F.IF. CC F.IF.9 CC F.BF..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. ANS: A PTS: 1 DIF: L2 REF: 7-3 Logarithmic Functions as Inverses OBJ: To graph logarithmic functions NAT: CC A.SSE.1.b CC F.IF.7.e CC F.IF. CC F.IF.9 CC F.BF..a G.2.c A.2.h A.3.h STA: AL A2.3b AL A2.3a TOP: 7-3 Problem Graphing a Logarithmic Function KEY: logarithmic function 9. ANS: A PTS: 1 DIF: L3 REF: 7- Properties of Logarithms OBJ: 7-.1 To use the properties of logarithms NAT: CC F.LE. N.1.d A.3.h TOP: 7- Problem 1 Simplifing Logarithms 10. ANS: C PTS: 1 DIF: L2 REF: 7- Properties of Logarithms OBJ: 7-.1 To use the properties of logarithms NAT: CC F.LE. N.1.d A.3.h TOP: 7- Problem 1 Simplifing Logarithms 11. ANS: C PTS: 1 DIF: L3 REF: 7- Properties of Logarithms

16 OBJ: 7-.1 To use the properties of logarithms NAT: CC F.LE. N.1.d A.3.h TOP: 7- Problem 2 Expanding Logarithms 12. ANS: A PTS: 1 DIF: L2 REF: 7-5 Exponential and Logarithmic Equations OBJ: To solve exponential and logarithmic equations NAT: CC A.REI.11 CC F.LE. A.3.h A..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: To solve exponential and logarithmic equations NAT: CC A.REI.11 CC F.LE. A.3.h A..c STA: AL A2.7a AL A2.3b TOP: 7-5 Problem 6 Using Logarithmic Properties to Solve an Equation KEY: logarithmic equation 1. ANS: A PTS: 1 DIF: L REF: 7-6 Natural Logarithms OBJ: To solve equations using natural logarithms NAT: CC F.LE. 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: To solve equations using natural logarithms NAT: CC F.LE. 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: -1 Inverse Variation OBJ: -1.1 To recognize and use inverse variation NAT: CC A.CED.2 CC A.CED. STA: AL A2.3b TOP: -1 Problem 2 Determining an Inverse Variation KEY: inverse variation 17. ANS: C PTS: 1 DIF: L3 REF: -2 The Reciprocal Function Famil OBJ: -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: -2 Problem 3 Graphing a Translation KEY: reciprocal function 1. ANS: D PTS: 1 DIF: L3 REF: -3 Rational Functions and Their Graphs OBJ: -3.1 To identif 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: -3 Problem 1 Finding Points of Discontinuit KEY: rational function point of discontinuit removable discontinuit non-removable points of discontinuit 19. ANS: A PTS: 1 DIF: L3 REF: -3 Rational Functions and Their Graphs OBJ: -3.1 To identif 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: -3 Problem 2 Finding Vertical Asmptotes KEY: rational function 20. ANS: B PTS: 1 DIF: L3 REF: -3 Rational Functions and Their Graphs OBJ: -3.1 To identif 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: -3 Problem 3 Finding Horizontal Asmptotes KEY: rational function 21. ANS: B PTS: 1 DIF: L2 REF: -3 Rational Functions and Their Graphs OBJ: -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

17 TOP: -3 Problem Graphing Rational Functions KEY: rational function 22. ANS: B PTS: 1 DIF: L2 REF: - Rational Expressions OBJ: -.1 To simplif 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: - Problem 1 Simplifing a Rational Expression KEY: rational expression simplest form 23. ANS: A PTS: 1 DIF: L3 REF: - Rational Expressions OBJ: -.2 To multipl 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: - Problem 3 Dividing Rational Expressions KEY: rational expression simplest form 2. ANS: B PTS: 1 DIF: L2 REF: -5 Adding and Subtracting Rational Expressions OBJ: -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: -5 Problem 2 Adding Rational Expressions 25. ANS: A PTS: 1 DIF: L3 REF: -5 Adding and Subtracting Rational Expressions OBJ: -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: -5 Problem 3 Subtracting Rational Expressions 26. ANS: A PTS: 1 DIF: L3 REF: -6 Solving Rational Equations OBJ: -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: -6 Problem 1 Solving a Rational Equation KEY: rational equation 27. ANS: A PTS: 1 DIF: L REF: -6 Solving Rational Equations OBJ: -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: -6 Problem 1 Solving a Rational Equation KEY: rational equation 2. ANS: C PTS: 1 DIF: L3 REF: 10-2 Parabolas OBJ: To write the equation of a parabola and to graph parabolas NAT: CC G.GPE.2 TOP: 10-2 Problem 1 Parabolas with Equation = ax^2 KEY: directrix 29. ANS: C PTS: 1 DIF: L REF: 10-2 Parabolas OBJ: To write the equation of a parabola and to graph parabolas NAT: CC G.GPE.2 TOP: 10-2 Problem 1 Parabolas with Equation = ax^2 KEY: directrix focus of a parabola 30. ANS: B PTS: 1 DIF: L3 REF: 10-2 Parabolas OBJ: To write the equation of a parabola and to graph parabolas NAT: CC G.GPE.2 TOP: 10-2 Problem 1 Parabolas with Equation = ax^2 KEY: directrix focus of a parabola 31. ANS: D PTS: 1 DIF: L REF: 10-2 Parabolas OBJ: 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 = a^2 KEY: focus of a parabola directrix 32. ANS: C PTS: 1 DIF: L3 REF: 10-3 Circles OBJ: To write and graph the equation of a circle NAT: CC G.GPE.1 G.2.c G..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: 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..f TOP: 10-3 Problem Finding the Center and Radius

18 KEY: circle center of a circle radius standard form of the equation of a circle 3. ANS: D PTS: 1 DIF: L3 REF: 10-3 Circles OBJ: 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..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- Ellipses OBJ: To write the equation of an ellipse NAT: CC G.GPE.3 G..g TOP: 10- Problem 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: L REF: 10-6 Translating Conic Sections OBJ: 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 Analzing a hperbola from its equation 37. ANS: B PTS: 1 DIF: L2 REF: 11-1 Permutations and Combinations OBJ: To count permutations NAT: CC S.CP.9 D..e D..j TOP: 11-1 Problem 1 Using the Fundamental Counting Principle KEY: Fundamental Counting Principle 3. ANS: D PTS: 1 DIF: L3 REF: 11-1 Permutations and Combinations OBJ: To count permutations NAT: CC S.CP.9 D..e D..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: To count permutations NAT: CC S.CP.9 D..e D..j TOP: 11-1 Problem 2 Find the Number of Permutations of n Items KEY: permutation Fundamental Counting Principle n factorial 0. ANS: B PTS: 1 DIF: L3 REF: 11-1 Permutations and Combinations OBJ: To count permutations NAT: CC S.CP.9 D..e D..j TOP: 11-1 Problem 3 Finding npr KEY: permutation Fundamental Counting Principle n factorial 1. ANS: D PTS: 1 DIF: L2 REF: 11-1 Permutations and Combinations OBJ: To count combinations NAT: CC S.CP.9 D..e D..j TOP: 11-1 Problem Finding ncr KEY: combination n factorial 2. ANS: C PTS: 1 DIF: L3 REF: 11-3 Probabilit of Multiple Events OBJ: To find the probabilit of the event A or B NAT: CC S.CP.2 CC S.CP.5 CC S.CP.7 D..a D..b D..c D..h D..j STA: AL A2.12c TOP: 11-3 Problem Finding Probabilit for Mutuall Exclusive Events KEY: mutuall exclusive events 3. ANS: A PTS: 1 DIF: L3 REF: 11-3 Probabilit of Multiple Events OBJ: To find the probabilit of the event A or B NAT: CC S.CP.2 CC S.CP.5 CC S.CP.7 D..a D..b D..c D..h D..j STA: AL A2.12c TOP: 11-3 Problem 5 Finding Probabilit. ANS: D PTS: 1 DIF: L3 REF: 11- Conditional Probabilit OBJ: To find conditional probabilities NAT: CC S.CP.3 CC S.CP. CC S.CP.5 CC S.CP.6 CC S.CP. D..b D..c D..i D..j STA: AL A2.12b TOP: 11- Problem 1 Finding Conditional Probabilit

19 KEY: conditional probabilit contingenc table 5. ANS: C PTS: 1 DIF: L REF: 11- Conditional Probabilit OBJ: To use formulas and tree diagrams NAT: CC S.CP.3 CC S.CP. CC S.CP.5 CC S.CP.6 CC S.CP. D..b D..c D..i D..j STA: AL A2.12b TOP: 11- Problem 3 Using the Conditional Probabilit Formula KEY: conditional probabilit 6. ANS: A PTS: 1 DIF: L3 REF: 11-6 Analzing Data OBJ: 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 Using a Box-and-Whisker Plot KEY: median quartile box-and-whisker plot 7. ANS: A PTS: 1 DIF: L REF: 11-7 Standard Deviation OBJ: To find the standard deviation and variance of a set of values NAT: CC S.ID. CC S.IC.6 D.1.c TOP: 11-7 Problem 2 Using a Calculator to Find Standard Deviation KEY: mean standard deviation. ANS: A PTS: 1 DIF: L3 REF: 11-7 Standard Deviation OBJ: To appl standard deviation and variance NAT: CC S.ID. CC S.IC.6 D.1.c TOP: 11-7 Problem 3 Using Standard Deviation to Predict KEY: standard deviation mean 9. ANS: C PTS: 1 DIF: L3 REF: 13-2 Angles and the Unit Circle OBJ: To work with angles in standard position NAT: CC F.TF.2 TOP: 13-2 Problem 3 Identifing Coterminal Angles KEY: coterminal angles 50. ANS: B PTS: 1 DIF: L3 REF: 13-2 Angles and the Unit Circle OBJ: 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: To use radian measure for angles NAT: CC F.TF.1 M.3.e TOP: 13-3 Problem 1 Using Dimensional Analsis KEY: central angle intercepted arc radian 52. ANS: A PTS: 1 DIF: L3 REF: 13-3 Radian Measure OBJ: 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: 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 Geometricall KEY: tangent of theta tangent function 5. ANS: D PTS: 1 DIF: L3 REF: 13-7 Translating Sine and Cosine Functions OBJ: To graph translations of trigonometric functions NAT: CC F.IF.7.e CC F.TF.5 A.2.d TOP: 13-7 Problem Graphing a Translation of = sin 2x KEY: phase shift 55. ANS: D PTS: 1 DIF: L3 REF: 13- Reciprocal Trigonometric Functions OBJ: To evaluate reciprocal trigonometric functions NAT: CC F.IF.7.e TOP: 13- Problem 1 Finding Values Geometricall KEY: cosecant 56. ANS: C PTS: 1 DIF: L3 REF: 1-2 Solving Trigonometric Equations Using Inverses OBJ: To evaluate inverse trigonometric functions NAT: CC F.TF.6 CC F.TF.7 TOP: 1-2 Problem 1 Using the Unit Circle

20 57. ANS: A PTS: 1 DIF: L3 REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: To find lengths of sides in a right angle NAT: CC G.SRT.6 CC G.SRT. TOP: 1-3 Problem 1 Trigonometric Values Beond the Unit Circle KEY: trigonometric ratios 5. ANS: B PTS: 1 DIF: L3 REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: To find measures of angles in a right triangle NAT: CC G.SRT.6 CC G.SRT. TOP: 1-3 Problem 5 Finding an Angle Measure KEY: trigonometric ratios 59. ANS: B PTS: 1 DIF: L REF: 1- Area and the Law of Sines OBJ: 1-.2 To use the Law of Sines NAT: CC G.SRT.9 CC G.SRT.10 CC G.SRT.11 M.3.g TOP: 1- Problem 2 Finding the Side of a Triangle KEY: Law of Sines 60. ANS: D PTS: 1 DIF: L3 REF: 1-5 The Law of Cosines OBJ: 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: 1-5 Problem 3 Finding an Angle Measure KEY: Law of Cosines