Algebra 2 Final Exam Review 2017

Transcription

1 Algebra Final Exam Review 017 Multiple Choice Identif the choice that best completes the statement or answers the question. Suppose Q and R are independent events. Find P(Q and R). 1. P(Q) = 1, P(R) = 1 7 a. 9 1 b. 1 1 c d. 13. Suppose that varies directl with x and inversel with z = 1 when x = 16, and z =. Write the equation that models the relationship. Then find when x = and z = 6. a. 9 c. b. d Simplif the rational expression. State an restrictions on the variable. 3. a. c. b. d.

2 Add or subtract. Simplif if possible.. a. c. b. d. 5. Write an equation for the translation of that has the asmptotes x = and = 7. a. c. b. d. 6. Graph the equation. Describe the graph and its lines of smmetr.

3 a. 8 c x x b. The graph is a circle of radius 6. Its center is at the origin. Ever line through the center is a line of smmetr. 8 d. The graph is a circle of radius 36. Its center is at the origin. Ever line through the center is a line of smmetr x x The graph is a circle of radius 6. Its center is at the origin. The -axis and the x-axis are lines of smmetr. The graph is a circle of radius 36. Its center is at the origin. The -axis and the x-axis are lines of smmetr. 7. This ellipse is being used for a design on a poster. Name the x-intercepts and -intercepts of the graph.

4 6 6 6 x 6 a. c. b. d. 8. Write an equation of a parabola with a vertex at the origin and a focus at (, 0). a. c. b. d. 9. Identif the focus and the directrix of the graph of. a. focus (0, 3), directrix at = 3 c. focus (0, 3), directrix at = 3 b. focus ( 3, 0), directrix at = 3 d. focus ( 3, 0), directrix at = 3

5 10. A satellite is launched in a circular orbit around Earth at an altitude of 10 miles above the surface. The diameter of Earth is 790 miles. Write an equation for the orbit of the satellite if the center of the orbit is the center of the Earth labeled (0, 0). a. c. b. d. 11. Graph. a. c x 8 8 x 8 8 b. d x 8 8 x 8 8

6 1. An elliptical track has a major axis that is 80 ards long and a minor axis that is 7 ards long. Find an equation for the track if its center is (0, 0) and the major axis is the x-axis. a. c. b. d. 13. Find the foci of the ellipse with the equation. Graph the ellipse. a. foci (0, 15 ) 8 c. foci (0, 113 ) x x 6 8 b. foci (0, 15 ) d. foci (0, 113 )

7 x x Write an equation of the ellipse with foci at and vertices at. Graph the ellipse. a. c x x 8 1 b. d.

8 x x Suppose that the path of a newl discovered comet could be modeled b using one branch of the equation, where distances are measured in astronomical units. Name the vertices of the hperbola and then graph the hperbola. a. (, 0) c. ( 0, ) x x b. d.

9 x x 16. Find an equation that models the path of a satellite if its path is a hperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hperbola is the origin and the transverse axis is horizontal. a. b. c. d. 17. Write an equation of an ellipse with center (3, 3), vertical major axis of length 1, and minor axis of length 6. a. c. b. d.

10 Describe the pattern in the sequence. Find the next three terms , 15, 17, 19,... a. Add ; 3, 5, 7. b. Multipl b ; 38, 76, 15. c. Add ; 17, 15, 13. d. Add ; 1, 3, The table shows the predicted growth of a particular bacteria after various numbers of hours. Write an explicit formula for the sequence of the number of bacteria. Hours (n) Number of Bacteria a. c. b. d. Is the sequence arithmetic? If so, identif the common difference. 0. 1, 1,, 77,... a. es, 7 b. es, 7 c. es, 1 d. no

11 Write the explicit formula for the sequence. Then find the fifth term in the sequence. 1. a. ; 3 c. ; 3 b. ; 3 d. ; 79 Find the missing term of the geometric sequence.. 5,, 160,... a. 970 b. 51 c. 6 d. 70 Use the finite sequence. Write the related series. Then evaluate the series. 3. 6, 9, 3, 35, 38, 1, a = 19 b = 5 c = 193 d = 01. The sequence 15, 1, 7, 33, 39,..., 75 has 11 terms. Evaluate the related series.

12 a. 0 c. 10 b. 95 d A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the speed of one of the projectiles. The distance (in feet) that the projectile traveled each second, starting with the first second, was given b the arithmetic sequence 6,, 6, 80,.... Find the total distance that the projectile traveled in seven seconds. a. 53 feet b. 560 feet c. 1 feet d. 6 feet 6. Use summation notation to write the series for 1 terms. a. c. b. d. 7. Evaluate the series a b. 136 c. 31 d Justine earned $17,000 during the first ear of her job at cit hall. After each ear she received a % raise. Find her total earnings during the first five ears on the job.

13 a. $3,51. b. $7, c. $517,077.8 d. $9, In June, Cor begins to save mone for a video game and a TV he wants to bu in December. He starts with $0. Each month he plans to save 10% more than the previous month. How much mone will he have at the end of December? a. $15.31 b. $51.59 c. $8.7 d. $189.7 Does the infinite geometric series diverge or converge? Explain. 30. a. It diverges; it has a sum. c. It converges; it has a sum. b. It diverges; it does not have a sum. d. It converges; it does not have a sum. Evaluate the infinite geometric series. Round to the nearest hundredth if necessar. 31. a. 16 b. c. 16 d For two weeks, Mark recorded the color of the traffic light at the intersection of Main Street and North Avenue as his school bus approached the intersection. The results were: red, red, red, red, red, red, green, red, red, ellow. Make a frequenc table for the data.

14 a. c. b. d. 33. The probabilit that a cit bus is read for service when needed is 8%. The probabilit that a cit bus is read for service and has a working radio is 67%. Find the probabilit that a bus chosen at random has a working radio given that it is read for service. Round to the nearest tenth of a percent. a. 17.0% b. 79.8% c. 83.8% d. 1.5% Make a box-and-whisker plot of the data. 3., 18, 9, 1, 16, 3, 13, 11 a. b. c

15 d Find the range and interquartile range of the data. Round to the nearest tenth. 35., 5, 38, 8, 0, 35, 10, 55, 3, 36 a. range = 37; interquartile range = 1 c. range = 37; interquartile range = 1 b. range = 7; interquartile range = 1 d. range = 7; interquartile range = Susan keeps track of the number of tickets sold for each pla presented at The Communit Theater. Within how man standard deviations of the mean do all the values fall? 137, 13, 91, 61, 150, 155, 110, 18, 90, 169, 67, 61 a. 5 b. c. d A set of data has mean 66 and standard deviation 7. Find the z-score of the value 3. a. 0. b..9 c. 3 d In a sample of 138 teenagers, 38 have never been to a live concert. Find the sample proportion for those who have never been to a live concert. a. % b. 8% c. 50% d. 7%

16 39. Find the margin of error for the sample proportion, given a sample size of n = 100. Round to the nearest percent. a. b. c. d. 0. Find the probabilit of x = 5 successes in n = 8 trials for the probabilit of success p = 0.3 on each trial. Round to the nearest thousandth. a b c d Determine whether the function shown below is or is not periodic. If it is, find the period x 3 a. periodic; about 3 c. periodic; about b. not periodic d. periodic; about

17 . Find the measure of the angle below. 0 x a. 110º b. 50º c. 90º d. 10º Sketch the angle in standard position º a. c. 55 x 55 x

18 b. d. 55 x 55 x. Find the measure of an angle between 0º and 360º coterminal with an angle of 110º in standard position. a. 50º b. 0º c. 110º d. 70º Write the measure in radians. Express the answer in terms of º a. b. c. d. Write the measure in degrees. 6. radians

19 a. º b. º c. 108º d. 1.88º 7. A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the measure of the intercepted arc between those two cars on the Ferris wheel? a. 7.8 feet b. 13,00.0 feet c feet d. 30. feet 8. Find the period of the graph shown below. 1 O 1 3 a. b. 3 c. 1 d. 9. Find the amplitude of the sine curve shown below.

20 O 3 a. b. 8 c. d. 50. Sketch one ccle of = sin. a. c. O O b. d. O O

21 51. Write the equation for the sine function shown below. O a. c. b. d. 5. Sketch the graph of the tangent curve = tan x in the interval from 0 to. a. c. _ 3_ _ 3_

22 b. d. _ 3_ _ 3_ 53. Use a graphing calculator to graph the function on the interval and. Evaluate the function at. Round to the nearest tenth. a. 171., 39.7, 3. c. 171., 39.7, 3. b. 39.7, 100.7, 69.3 d..7, 0.8, 0.6 Simplif the trigonometric expression. 5. a. tan b. 1 c. cot d. sin Use a calculator and inverse functions to find the radian measures of the given angle. Round our answer to the nearest hundredth.

23 55. angles whose sine is 0.8 a n and n c n and.68 + n b n and n d n and n 56. The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 5 feet above the water makes a 5 angle with the water. To the nearest foot, how far is the boat from the cliff? 35 ft 5 5 ft Drawing is not to scale. a. 11 feet b. 18 feet c. 7 feet d. 75 feet 57. In XYZ, Y is a right angle and. Find cos X in fraction and in decimal form. Round to the nearest hundredth, if necessar.

24 Z 5 0 X Y a. b. c. d. Find the length x. Round to the nearest tenth. 58. x a b. 8.3 c. 8.3 d In, is a right angle. Find to the nearest tenth of a degree.

25 B x A C a. 0. b. 68. c..9 d. 1.8 Find the angle measure to the nearest tenth of a degree. 60. a. 0. b c d a. 7. b. 8.8 c. 1. d Use the Law of Sines. Find b to the nearest tenth.

26 C 31 b B 6 A a. 7.3 b. 1.6 c d Use the Law of Cosines. Find b to the nearest tenth. C 60 b B 8 85 A a. 10. b. 6. c d. 63.

27 6. Use the Law of Cosines. Find to the nearest tenth of a degree. C 17 B 30 A a b c. 6.3 d In, j = 9 in., k = 5 in., and = 3. Find. a. 8 b. 59 c. 3 d. 75 Find the exact value of the expression. 66. tan 195 a. + 3 b. 3 c. 3 d. + 3

28 67. cos 55 a. b. c. d. Use a half-angle identit to find the exact value of the expression. 68. sin 105 a. b. c. d. 69. tan 67.5 a. b. c. d. 70. cos 67.5 a. b. c. d.

29 71. Given and, find the exact value of. a. b. c. d. 7. Given and, find the exact value of. a. b. c. 1 6 d. Short Answer 73. Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it. x

30 Sketch the asmptotes and graph the function. 7. Find an points of discontinuit for the rational function. 75. Multipl or divide. State an restrictions on the variables. 76. Add or subtract. Simplif if possible. 77.

31 Simplif the complex fraction. 78. Solve the equation. Check the solution Alicia can row miles downstream in the same time it takes her to row miles upstream. She rows downstream 5 miles/hour faster than she rows upstream. Find Alicia s rowing rate each wa. Round our answers to the nearest tenth, if necessar. Suppose Q and R are independent events. Find P(Q and R). 81. P(Q) = 0.6, P(R) = 0.7

32 Suppose S and T are mutuall exclusive events. Find P(S or T). 8. P(S) = 9%, P(T) = 8% 83. Consider the function. Evaluate a sum to approximate the area under the curve for the domain 0 x using the tpe of rectangles in each part. a. Use inscribed rectangles 0.5 units wide. b. Use circumscribed rectangles 0.5 units wide. 8. Use a graphing calculator to solve the equation in the interval from 0 to. Round to the nearest hundredth. 85. The equation models the height h in centimeters after t seconds of a weight attached to the end of a spring that has been stretched and then released. a. Solve the equation for t. b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round our answers to the nearest hundredth.

33 c. Find the times at which the weight is at a height of 1 cm, of 3 cm, and of 5 cm below the rest position for the second time. Round our answers to the nearest hundredth. Essa 86. The table shows how the number of sit-ups Marla does each da has changed over time. At this rate, how man sit-ups will she do on Da 1? Explain our steps in solving this problem. Da1 Da Da 3 Da Da

34 Algebra Final Exam Review 017 Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: L REF: 9-7 Probabilit of Multiple Events OBJ: Finding P(A and B) NAT: NAEP Dc CAT5.LV1/.5 CAT5.LV1/.6 CAT5.LV1/.51 IT.LV17/18.CP IT.LV17/18.DP IT.LV17/18.FR S9.TSK3.NS S10.TSK3.NS TV.LV1/.11 TV.LV1/.15 TV.LV1/.5 TV.LVALG.53 STA: NY A.S.13 TOP: 9-7 Example KEY: probabilit independent events. ANS: C PTS: 1 DIF: L REF: 9-1 Inverse Variation OBJ: 9-1. Using Combined Variation NAT: NAEP Ae CAT5.LV1/.50 CAT5.LV1/.53 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.DI IT.LV17/18.PS S9.TSK3.DSP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.DSP S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.15 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.56 STA: NY A.PS.9 NY A.A.5 NY A.CM. NY A.CM.11 TOP: 9-1 Example 5 KEY: direct variation combined variation 3. ANS: D PTS: 1 DIF: L REF: 9- Rational Expressions OBJ: 9-.1 Simplifing Rational Expressions NAT: NAEP A3b CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.CM.11 NY A.N.3 NY A.A.7 NY A.A.17 TOP: 9- Example 1 KEY: rational expression simplifing a rational expression restrictions on a variable. ANS: B PTS: 1 DIF: L REF: 9-5 Adding and Subtracting Rational Expressions OBJ: Adding and Subtracting Rational Expressions NAT: NAEP A3b CAT5.LV1/.50 CAT5.LV1/.5 CAT5.LV1/.55 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.1 TV.LV1/.13 TV.LV1/.5 TV.LVALG.53 STA: NY A.N.3 NY A.A.7 NY A.A.17 TOP: 9-5 Example KEY: simplifing a rational expression subtracting rational expressions 5. ANS: C PTS: 1 DIF: L REF: 9- The Reciprocal Function Famil OBJ: 9-. Graphing Translations of Reciprocal Functions NAT: NAEP Ae NAEP Aa CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 9- Example 5 KEY: asmptote translation 6. ANS: A PTS: 1 DIF: L REF: 10-1 Exploring Conic Sections OBJ: Graphing Equations of Conic Sections NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.18 TV.LV1/.5 TV.LVALG.56 TOP: 10-1 Example 1 KEY: conic sections graphing circle domain range 7. ANS: B PTS: 1 DIF: L REF: 10-1 Exploring Conic Sections OBJ: Identifing Conic Sections NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.18 TV.LV1/.5 TV.LVALG.56 TOP: 10-1 Example KEY: conic sections ellipse intercepts

35 8. ANS: A PTS: 1 DIF: L REF: 10- Parabolas OBJ: Writing the Equation of a Parabola NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 10- Example KEY: equation of a parabola focus of a parabola parabola vertex of a parabola 9. ANS: C PTS: 1 DIF: L REF: 10- Parabolas OBJ: 10-. Graphing Parabolas NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 10- Example KEY: directrix equation of a parabola focus of a parabola parabola graphing 10. ANS: D PTS: 1 DIF: L3 REF: 10-3 Circles OBJ: Writing the Equation of a Circle NAT: NAEP Gd CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 STA: NY A.CN.6 NY A.CN.7 NY A.R.6 NY A.A.7 NY A.A.8 NY A.A.9 TOP: 10-3 Example 3 KEY: center of a circle circle equation of a circle problem solving radius word problem 11. ANS: D PTS: 1 DIF: L REF: 10-3 Circles OBJ: Using the Center and Radius of a Circle NAT: NAEP Gd CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 STA: NY A.CN.6 NY A.CN.7 NY A.R.6 NY A.A.7 NY A.A.8 NY A.A.9 TOP: 10-3 Example 5 KEY: center of a circle circle equation of a circle radius translation 1. ANS: D PTS: 1 DIF: L REF: 10- Ellipses OBJ: Writing the Equation of an Ellipse NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 10- Example KEY: ellipse equation of an ellipse major axis of an ellipse minor axis of an ellipse problem solving word problem 13. ANS: A PTS: 1 DIF: L REF: 10- Ellipses OBJ: 10-. Finding and Using the Foci of an Ellipse NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 10- Example 3 KEY: co-vertex of an ellipse ellipse equation of an ellipse graphing foci of an ellipse major axis of an ellipse minor axis of an ellipse 1. ANS: D PTS: 1 DIF: L REF: 10- Ellipses OBJ: 10-. Finding and Using the Foci of an Ellipse NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 10- Example KEY: ellipse equation of an ellipse graphing foci of an ellipse major axis of an ellipse minor axis of an ellipse 15. ANS: A PTS: 1 DIF: L3 REF: 10-5 Hperbolas

36 OBJ: Graphing Hperbolas Centered at the Origin NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 10-5 Example 1 KEY: asmptotes of a hperbola equation of a hperbola graphing hperbola problem solving transverse axis of a hperbola vertices of a hperbola word problem 16. ANS: D PTS: 1 DIF: L REF: 10-5 Hperbolas OBJ: Using the Foci of a Hperbola NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 10-5 Example 3 KEY: equation of a hperbola foci of a hperbola equation of a hperbola word problem 17. ANS: D PTS: 1 DIF: L REF: 10-6 Translating Conic Sections OBJ: Writing Equations of Translated Conic Sections NAT: NAEP Gc CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TV.LVALG.58 TOP: 10-6 Example 1 KEY: conic sections co-vertex of an ellipse equation of an ellipse major axis of an ellipse minor axis of an ellipse translation vertex of an ellipse 18. ANS: D PTS: 1 DIF: L REF: 11-1 Mathematical Patterns OBJ: Identifing Mathematical Patterns NAT: NAEP A1a NAEP A1b IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.11 TV.LV1/.15 TV.LV1/.16 TV.LV1/.50 TV.LVALG.53 STA: NY A.PS.3 NY A.CM. NY A.R.8 NY A.A.9 NY A.A.3 NY A.A.33 TOP: 11-1 Example 1 KEY: sequence pattern 19. ANS: D PTS: 1 DIF: L REF: 11-1 Mathematical Patterns OBJ: Using Formulas to Generate Mathematical Patterns NAT: NAEP A1a NAEP A1b IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.11 TV.LV1/.15 TV.LV1/.16 TV.LV1/.50 TV.LVALG.53 STA: NY A.PS.3 NY A.CM. NY A.R.8 NY A.A.9 NY A.A.3 NY A.A.33 TOP: 11-1 Example KEY: explicit formula problem solving sequence 0. ANS: D PTS: 1 DIF: L REF: 11- Arithmetic Sequences OBJ: Identifing and Generating Arithmetic Sequences NAT: NAEP A1a CAT5.LV1/.8 CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.I S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.10 TV.LV1/.11 TV.LV1/.9 TV.LV1/.5 TV.LVALG.53 TV.LVALG.5 STA: NY A.PS.3 NY A.R.8 NY A.A.9 NY A.A.30 NY A.A.3 NY A.A.33 TOP: 11- Example 1 KEY: sequence arithmetic sequence common difference 1. ANS: A PTS: 1 DIF: L REF: 11-3 Geometric Sequences OBJ: Identifing and Generating Geometric Sequences NAT: NAEP A1a CAT5.LV1/.7 CAT5.LV1/.50 CAT5.LV1/.51 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.PS.3 NY A.CM. NY A.R.3 NY A.R.8 NY A.A.9 NY A.A.31 NY A.A.3 NY A.A.33 TOP: 11-3 Example KEY: common ratio explicit formula geometric sequence sequence pattern. ANS: D PTS: 1 DIF: L REF: 11-3 Geometric Sequences

37 OBJ: Identifing and Generating Geometric Sequences NAT: NAEP A1a CAT5.LV1/.7 CAT5.LV1/.50 CAT5.LV1/.51 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.PS.3 NY A.CM. NY A.R.3 NY A.R.8 NY A.A.9 NY A.A.31 NY A.A.3 NY A.A.33 TOP: 11-3 Example 3 KEY: geometric sequence sequence pattern geometric mean 3. ANS: B PTS: 1 DIF: L REF: 11- Arithmetic Series OBJ: Writing and Evaluating Arithmetic Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.CM.13 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11- Example 1 KEY: arithmetic sequence arithmetic series sequence evaluating a series. ANS: B PTS: 1 DIF: L REF: 11- Arithmetic Series OBJ: Writing and Evaluating Arithmetic Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.CM.13 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11- Example KEY: arithmetic sequence arithmetic series sequence evaluating a series 5. ANS: B PTS: 1 DIF: L3 REF: 11- Arithmetic Series OBJ: Writing and Evaluating Arithmetic Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.CM.13 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11- Example KEY: arithmetic sequence arithmetic series evaluating a series sequence problem solving word problem 6. ANS: C PTS: 1 DIF: L REF: 11- Arithmetic Series OBJ: 11-. Using Summation Notation NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.CM.13 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11- Example 3 KEY: arithmetic series summation notation 7. ANS: A PTS: 1 DIF: L REF: 11-5 Geometric Series OBJ: Evaluating a Finite Geometric Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.R.6 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11-5 Example 1 KEY: common ratio evaluating a series geometric series 8. ANS: D PTS: 1 DIF: L REF: 11-5 Geometric Series OBJ: Evaluating a Finite Geometric Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53

38 STA: NY A.R.6 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11-5 Example KEY: geometric series common ratio evaluating a series problem solving word problem 9. ANS: D PTS: 1 DIF: L REF: 11-5 Geometric Series OBJ: Evaluating a Finite Geometric Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.R.6 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11-5 Example KEY: geometric series common ratio evaluating a series problem solving word problem 30. ANS: C PTS: 1 DIF: L REF: 11-5 Geometric Series OBJ: Evaluating an Infinite Geometric Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.R.6 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11-5 Example 3 KEY: geometric series common ratio divergent series convergent series infinite geometric series 31. ANS: A PTS: 1 DIF: L REF: 11-5 Geometric Series OBJ: Evaluating an Infinite Geometric Series NAT: NAEP A1a CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.5 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.R.6 NY A.N.10 NY A.A.3 NY A.A.35 TOP: 11-5 Example KEY: evaluating a series geometric series infinite geometric series arithmetic mean 3. ANS: B PTS: 1 DIF: L REF: 1-1 Probabilit Distributions OBJ: Making a Probabilit Distribution NAT: CAT5.LV1/.5 CAT5.LV1/.6 CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP IT.LV17/18.FR S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.11 TV.LV1/.1 TV.LV1/.15 TV.LV1/.7 TV.LVALG.53 TV.LVALG.56 TOP: 1-1 Example 1 KEY: frequenc table 33. ANS: B PTS: 1 DIF: L REF: 1- Conditional Probabilit OBJ: 1-. Using Formulas and Tree Diagrams NAT: NAEP De NAEP Di CAT5.LV1/.5 CAT5.LV1/.6 CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP IT.LV17/18.FR S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.11 TV.LV1/.1 TV.LV1/.15 TV.LV1/.7 TV.LVALG.53 TOP: 1- Example 3 KEY: conditional probabilit word problem problem solving 3. ANS: A PTS: 1 DIF: L REF: 1-3 Analzing Data OBJ: 1-3. Box-and-Whisker Plots NAT: NAEP D1b NAEP D1d NAEP Da CAT5.LV1/.7 CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.I IT.LV17/18.PS S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.15 TV.LV1/.17 TV.LV1/.9 TV.LVALG.53 STA: NY A.CM.11 NY A.CM.1 NY A.R.7 NY A.S.3 NY A.S. TOP: 1-3 Example 3 KEY: median quartile box-and-whisker plot 35. ANS: D PTS: 1 DIF: L REF: 1- Standard Deviation OBJ: 1-.1 Finding Standard Deviation NAT: NAEP Da NAEP Dd CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.PS S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.1 TV.LV1/.15 TV.LVALG.53 STA: NY A.R.7 NY A.S. NY A.RP.5 TOP: 1- Example 1 KEY: range interquartile range 36. ANS: C PTS: 1 DIF: L REF: 1- Standard Deviation

39 OBJ: 1-. Using Standard Deviation NAT: NAEP Da NAEP Dd CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.PS S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.1 TV.LV1/.15 TV.LVALG.53 STA: NY A.R.7 NY A.S. NY A.RP.5 TOP: 1- Example KEY: standard deviation 37. ANS: D PTS: 1 DIF: L REF: 1- Standard Deviation OBJ: 1-. Using Standard Deviation NAT: NAEP Da NAEP Dd CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.PS S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.1 TV.LV1/.15 TV.LVALG.53 STA: NY A.R.7 NY A.S. NY A.RP.5 TOP: 1- Example 5 KEY: standard deviation z-score 38. ANS: B PTS: 1 DIF: L REF: 1-5 Working With Samples OBJ: Sampling Without Bias NAT: NAEP D3c CAT5.LV1/.8 CAT5.LV1/.53 IT.LV17/18.DI IT.LV17/18.DP S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.15 TV.LV1/.50 TV.LVALG.53 STA: NY A.R.7 NY A.S. NY A.S. TOP: 1-5 Example 1 KEY: sample proportion sample 39. ANS: B PTS: 1 DIF: L REF: 1-5 Working With Samples OBJ: 1-5. Sample Size NAT: NAEP D3c CAT5.LV1/.8 CAT5.LV1/.53 IT.LV17/18.DI IT.LV17/18.DP S9.TSK3.DSP S9.TSK3.NS S10.TSK3.DSP S10.TSK3.NS TV.LV1/.15 TV.LV1/.50 TV.LVALG.53 STA: NY A.R.7 NY A.S. NY A.S. TOP: 1-5 Example KEY: sample sample size margin of error 0. ANS: C PTS: 1 DIF: L REF: 1-6 Binomial Distributions OBJ: Finding Binomial Probabilities NAT: NAEP Dh CAT5.LV1/.5 CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.DI IT.LV17/18.DP S9.TSK3.DSP S9.TSK3.NS S9.TSK3.PRA S10.TSK3.DSP S10.TSK3.NS S10.TSK3.PRA TV.LV1/.15 TV.LV1/.7 TV.LV1/.5 TV.LVALG.53 STA: NY A.R.8 NY A.S.13 NY A.S.15 TOP: 1-6 Example 3 KEY: binomial probabilit 1. ANS: B PTS: 1 DIF: L REF: 13-1 Exploring Periodic Data OBJ: Identifing Periodic Functions NAT: CAT5.LV1/.5 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.16 TV.LVALG.53 TV.LVALG.56 STA: NY A.R.6 NY A.A.69 TOP: 13-1 Example KEY: ccle period periodic function. ANS: A PTS: 1 DIF: L REF: 13- Angles and the Unit Circle OBJ: Working With Angles in Standard Position NAT: CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S10.TSK3.GM TV.LV1/.13 TV.LV1/.1 TV.LVALG.58 STA: NY A.RP. NY A.R.3 NY A.A.55 NY A.A.56 NY A.A.57 NY A.A.60 NY A.A.6 TOP: 13- Example 1 KEY: standard position of an angle initial side of an angle terminal side of an angle measure of an angle in standard position 3. ANS: C PTS: 1 DIF: L REF: 13- Angles and the Unit Circle OBJ: Working With Angles in Standard Position NAT: CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S10.TSK3.GM TV.LV1/.13 TV.LV1/.1 TV.LVALG.58 STA: NY A.RP. NY A.R.3 NY A.A.55 NY A.A.56 NY A.A.57 NY A.A.60 NY A.A.6 TOP: 13- Example

40 KEY: initial side of an angle measure of an angle in standard position standard position of an angle terminal side of an angle. ANS: A PTS: 1 DIF: L3 REF: 13- Angles and the Unit Circle OBJ: Working With Angles in Standard Position NAT: CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S10.TSK3.GM TV.LV1/.13 TV.LV1/.1 TV.LVALG.58 STA: NY A.RP. NY A.R.3 NY A.A.55 NY A.A.56 NY A.A.57 NY A.A.60 NY A.A.6 TOP: 13- Example 3 KEY: initial side of an angle measure of an angle in standard position standard position of an angle terminal side of an angle 5. ANS: A PTS: 1 DIF: L REF: 13-3 Radian Measure OBJ: Using Radian Measure NAT: CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.58 STA: NY A.A.56 NY A.A.57 NY A.A.61 NY A.M.1 NY A.M. TOP: 13-3 Example 1 KEY: radian measure measure of an angle in standard position 6. ANS: C PTS: 1 DIF: L REF: 13-3 Radian Measure OBJ: Using Radian Measure NAT: CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.58 STA: NY A.A.56 NY A.A.57 NY A.A.61 NY A.M.1 NY A.M. TOP: 13-3 Example KEY: radian measure measure of an angle in standard position 7. ANS: D PTS: 1 DIF: L3 REF: 13-3 Radian Measure OBJ: Finding the Length of an Arc NAT: CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.58 STA: NY A.A.56 NY A.A.57 NY A.A.61 NY A.M.1 NY A.M. TOP: 13-3 Example 5 KEY: central angle problem solving radian measure 8. ANS: B PTS: 1 DIF: L REF: 13- The Sine Function OBJ: Interpreting Sine Functions NAT: NAEP M1m CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.56 STA: NY A.R.6 NY A.A.56 NY A.A.69 NY A.A.70 NY A.A.7 TOP: 13- Example 3 KEY: sine function period graphing 9. ANS: D PTS: 1 DIF: L REF: 13- The Sine Function OBJ: Interpreting Sine Functions NAT: NAEP M1m CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.56 STA: NY A.R.6 NY A.A.56 NY A.A.69 NY A.A.70 NY A.A.7 TOP: 13- Example KEY: amplitude sine function graphing 50. ANS: C PTS: 1 DIF: L REF: 13- The Sine Function OBJ: 13-. Graphing Sine Functions NAT: NAEP M1m CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.56

41 STA: NY A.R.6 NY A.A.56 NY A.A.69 NY A.A.70 NY A.A.7 TOP: 13- Example 6 KEY: amplitude graphing sine function period 51. ANS: B PTS: 1 DIF: L REF: 13- The Sine Function OBJ: 13-. Graphing Sine Functions NAT: NAEP M1m CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.56 STA: NY A.R.6 NY A.A.56 NY A.A.69 NY A.A.70 NY A.A.7 TOP: 13- Example 7 KEY: amplitude graphing period 5. ANS: A PTS: 1 DIF: L REF: 13-6 The Tangent Function OBJ: Graphing the Tangent Function NAT: NAEP M1m CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.56 STA: NY A.A.71 TOP: 13-6 Example KEY: period graphing tangent function 53. ANS: B PTS: 1 DIF: L REF: 13-6 The Tangent Function OBJ: Graphing the Tangent Function NAT: NAEP M1m CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.56 STA: NY A.A.71 TOP: 13-6 Example 3 KEY: period graphing tangent function graphing calculator 5. ANS: B PTS: 1 DIF: L REF: 1-1 Trigonometric Identities OBJ: Verifing Trigonometric Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.A.58 NY A.A.67 TOP: 1-1 Example 3 KEY: trigonometric identities simplifing trigonometric expressions 55. ANS: B PTS: 1 DIF: L REF: 1- Solving Trigonometric Equations Using Inverses OBJ: 1-.1 Inverses of Trigonometric Functions NAT: NAEP Aa CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.A.63 NY A.A.6 NY A.A.68 TOP: 1- Example 3 KEY: radian measure inverse of a trigonometric equation graphing calculator sine function 56. ANS: B PTS: 1 DIF: L REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: Finding the Lengths of Sides in a Right Triangle NAT: NAEP M1m CAT5.LV1/.6 CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.FR IT.LV17/18.PS S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.55 NY A.A.56 NY A.A.58 NY A.A.59 TOP: 1-3 Example 1 KEY: trigonometric ratios tangent function angle measure problem solving 57. ANS: C PTS: 1 DIF: L REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: Finding the Lengths of Sides in a Right Triangle NAT: NAEP M1m CAT5.LV1/.6 CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.FR IT.LV17/18.PS S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1

42 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.55 NY A.A.56 NY A.A.58 NY A.A.59 TOP: 1-3 Example KEY: trigonometric ratios Pthagorean Theorem 58. ANS: B PTS: 1 DIF: L REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: Finding the Lengths of Sides in a Right Triangle NAT: NAEP M1m CAT5.LV1/.6 CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.FR IT.LV17/18.PS S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.55 NY A.A.56 NY A.A.58 NY A.A.59 TOP: 1-3 Example 3 KEY: angle measure trigonometric ratios sine function 59. ANS: D PTS: 1 DIF: L REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: 1-3. Finding the Measures of Angles in a Right Triangle NAT: NAEP M1m CAT5.LV1/.6 CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.FR IT.LV17/18.PS S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.55 NY A.A.56 NY A.A.58 NY A.A.59 TOP: 1-3 Example KEY: angle measure trigonometric ratios 60. ANS: B PTS: 1 DIF: L REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: 1-3. Finding the Measures of Angles in a Right Triangle NAT: NAEP M1m CAT5.LV1/.6 CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.FR IT.LV17/18.PS S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.55 NY A.A.56 NY A.A.58 NY A.A.59 TOP: 1-3 Example KEY: angle measure sine function cosine function inverses of trigonometric functions 61. ANS: B PTS: 1 DIF: L REF: 1-3 Right Triangles and Trigonometric Ratios OBJ: 1-3. Finding the Measures of Angles in a Right Triangle NAT: NAEP M1m CAT5.LV1/.6 CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.FR IT.LV17/18.PS S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.55 NY A.A.56 NY A.A.58 NY A.A.59 TOP: 1-3 Example KEY: angle measure tangent function inverses of trigonometric functions 6. ANS: D PTS: 1 DIF: L REF: 1- Area and the Law of Sines OBJ: 1-.1 Area and the Law of Sines NAT: NAEP Ae CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.PS S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.66 NY A.A.68 NY A.A.73 NY A.A.7 TOP: 1- Example KEY: Law of Sines 63. ANS: D PTS: 1 DIF: L REF: 1-5 The Law of Cosines OBJ: The Law of Cosines NAT: NAEP Ae CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.PS S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA

43 TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.66 NY A.A.73 TOP: 1-5 Example 1 KEY: Law of Cosines 6. ANS: A PTS: 1 DIF: L REF: 1-5 The Law of Cosines OBJ: The Law of Cosines NAT: NAEP Ae CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.PS S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.66 NY A.A.73 TOP: 1-5 Example KEY: Law of Cosines 65. ANS: D PTS: 1 DIF: L REF: 1-5 The Law of Cosines OBJ: The Law of Cosines NAT: NAEP Ae CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.PS S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.66 NY A.A.73 TOP: 1-5 Example 3 KEY: Law of Cosines Law of Sines finding an angle of a triangle 66. ANS: C PTS: 1 DIF: L REF: 1-6 Angle Identities OBJ: 1-6. Sum and Difference Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.CN.8 NY A.A.56 NY A.A.66 NY A.A.76 TOP: 1-6 Example KEY: angle identities angle difference identities angle sum identities exact values of trigonometric functions 67. ANS: A PTS: 1 DIF: L REF: 1-6 Angle Identities OBJ: 1-6. Sum and Difference Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.CN.8 NY A.A.56 NY A.A.66 NY A.A.76 TOP: 1-6 Example KEY: angle identities angle difference identities angle sum identities exact values of trigonometric functions 68. ANS: A PTS: 1 DIF: L REF: 1-7 Double-Angle and Half-Angle Identities OBJ: 1-7. Half-Angle Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.56 NY A.A.66 NY A.A.77 TOP: 1-7 Example 3 KEY: angle identities sine function half-angle identities exact values of trigonometric functions angle measure 69. ANS: D PTS: 1 DIF: L REF: 1-7 Double-Angle and Half-Angle Identities OBJ: 1-7. Half-Angle Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.56 NY A.A.66 NY A.A.77 TOP: 1-7 Example 3 KEY: angle identities tangent function half-angle identities exact values of trigonometric functions angle measure 70. ANS: B PTS: 1 DIF: L

44 REF: 1-7 Double-Angle and Half-Angle Identities OBJ: 1-7. Half-Angle Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.56 NY A.A.66 NY A.A.77 TOP: 1-7 Example 3 KEY: angle identities cosine function half-angle identities exact values of trigonometric functions angle measure 71. ANS: C PTS: 1 DIF: L REF: 1-7 Double-Angle and Half-Angle Identities OBJ: 1-7. Half-Angle Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.56 NY A.A.66 NY A.A.77 TOP: 1-7 Example KEY: angle identities half-angle identities exact values of trigonometric functions 7. ANS: B PTS: 1 DIF: L REF: 1-7 Double-Angle and Half-Angle Identities OBJ: 1-7. Half-Angle Identities NAT: NAEP A3c CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.58 STA: NY A.A.56 NY A.A.66 NY A.A.77 TOP: 1-7 Example KEY: angle identities half-angle identities exact values of trigonometric functions SHORT ANSWER 73. ANS: direct variation; PTS: 1 DIF: L REF: 9-1 Inverse Variation OBJ: Using Inverse Variation NAT: NAEP Ae CAT5.LV1/.50 CAT5.LV1/.53 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.DI IT.LV17/18.PS S9.TSK3.DSP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.DSP S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.15 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 TV.LVALG.56 STA: NY A.PS.9 NY A.A.5 NY A.CM. NY A.CM.11 TOP: 9-1 Example KEY: rational function direct variation 7. ANS: x 5 10

45 PTS: 1 DIF: L REF: 9- The Reciprocal Function Famil OBJ: 9-. Graphing Translations of Reciprocal Functions NAT: NAEP Ae NAEP Aa CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.56 TOP: 9- Example 75. ANS: x = 3, x = 7 KEY: graphing asmptote PTS: 1 DIF: L REF: 9-3 Rational Functions and Their Graphs OBJ: Properties of Rational Functions NAT: NAEP Aa CAT5.LV1/.50 CAT5.LV1/.5 CAT5.LV1/.53 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.DI S9.TSK3.DSP S9.TSK3.PRA S10.TSK3.DSP S10.TSK3.PRA TV.LV1/.1 TV.LV1/.15 TV.LV1/.5 TV.LVALG.56 TOP: 9-3 Example 1 KEY: rational function point of discontinuit 76. ANS: PTS: 1 DIF: L REF: 9- Rational Expressions OBJ: 9-. Multipling and Dividing Rational Expressions NAT: NAEP A3b CAT5.LV1/.50 CAT5.LV1/.56 IT.LV17/18.AM S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.CM.11 NY A.N.3 NY A.A.7 NY A.A.17 TOP: 9- Example 3 KEY: simplifing a rational expression restrictions on a variable multipling rational expressions 77. ANS: PTS: 1 DIF: L REF: 9-5 Adding and Subtracting Rational Expressions OBJ: Adding and Subtracting Rational Expressions NAT: NAEP A3b CAT5.LV1/.50 CAT5.LV1/.5 CAT5.LV1/.55 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.1 TV.LV1/.13 TV.LV1/.5 TV.LVALG.53 STA: NY A.N.3 NY A.A.7 NY A.A.17 TOP: 9-5 Example 3 KEY: simplifing a rational expression adding rational expressions 78. ANS: PTS: 1 DIF: L REF: 9-5 Adding and Subtracting Rational Expressions OBJ: 9-5. Simplifing Complex Fractions NAT: NAEP A3b CAT5.LV1/.50 CAT5.LV1/.5 CAT5.LV1/.55 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.1 TV.LV1/.13 TV.LV1/.5 TV.LVALG.53 STA: NY A.N.3 NY A.A.7 NY A.A.17 TOP: 9-5 Example 5 KEY: complex fraction simplifing a rational expression simplifing a complex fraction 79. ANS:

46 0 PTS: 1 DIF: L REF: 9-6 Solving Rational Equations OBJ: Solving Rational Equations NAT: NAEP Aa CAT5.LV1/.50 CAT5.LV1/.55 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.PS S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 STA: NY A.N.3 NY A.A.7 NY A.A.17 NY A.A.3 TOP: 9-6 Example 1 KEY: rational equation 80. ANS: 1.6 mi/h downstream, 0.8 mi/h upstream PTS: 1 DIF: L REF: 9-6 Solving Rational Equations OBJ: 9-6. Using Rational Equations NAT: NAEP Aa CAT5.LV1/.50 CAT5.LV1/.55 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.PS S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.17 TV.LV1/.5 TV.LVALG.53 STA: NY A.N.3 NY A.A.7 NY A.A.17 NY A.A.3 TOP: 9-6 Example 3 KEY: average problem solving word problem 81. ANS: 0.16 PTS: 1 DIF: L REF: 9-7 Probabilit of Multiple Events OBJ: Finding P(A and B) NAT: NAEP Dc CAT5.LV1/.5 CAT5.LV1/.6 CAT5.LV1/.51 IT.LV17/18.CP IT.LV17/18.DP IT.LV17/18.FR S9.TSK3.NS S10.TSK3.NS TV.LV1/.11 TV.LV1/.15 TV.LV1/.5 TV.LVALG.53 STA: NY A.S.13 TOP: 9-7 Example KEY: probabilit independent events 8. ANS: 77% PTS: 1 DIF: L REF: 9-7 Probabilit of Multiple Events OBJ: 9-7. Finding P(A or B) NAT: NAEP Dc CAT5.LV1/.5 CAT5.LV1/.6 CAT5.LV1/.51 IT.LV17/18.CP IT.LV17/18.DP IT.LV17/18.FR S9.TSK3.NS S10.TSK3.NS TV.LV1/.11 TV.LV1/.15 TV.LV1/.5 TV.LVALG.53 STA: NY A.S.13 TOP: 9-7 Example KEY: mutuall exclusive events probabilit 83. ANS: a units b units PTS: 1 DIF: L REF: 11-6 Area Under a Curve OBJ: Finding Area Under a Curve NAT: CAT5.LV1/.50 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.PRA S10.TSK3.GM S10.TSK3.PRA TV.LV1/.13 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 TV.LVALG.56 TOP: 11-6 Example KEY: area under a curve inscribed rectangles circumscribed rectangles 8. ANS: 1.91;.37

47 PTS: 1 DIF: L3 REF: 13-5 The Cosine Function OBJ: Solving Trigonometric Equations NAT: NAEP M1m CAT5.LV1/.51 CAT5.LV1/.55 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S10.TSK3.GM S10.TSK3.NS TV.LV1/.11 TV.LV1/.13 TV.LV1/.1 TV.LVALG.56 STA: NY A.R.6 NY A.A.56 NY A.A.69 NY A.A.70 TOP: 13-5 Example KEY: cosine of an angle graphing trigonometric function cosine equation 85. ANS: a. b s, 1.08 s, 0.7 s c..36 s,.08 s, 3.7 s PTS: 1 DIF: L3 REF: 1- Solving Trigonometric Equations Using Inverses OBJ: 1-. Solving Trigonometric Equations NAT: NAEP Aa CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.56 IT.LV17/18.AM IT.LV17/18.CP S9.TSK3.GM S9.TSK3.NS S9.TSK3.PRA S10.TSK3.GM S10.TSK3.NS S10.TSK3.PRA TV.LV1/.11 TV.LV1/.1 TV.LV1/.5 TV.LVALG.53 STA: NY A.A.63 NY A.A.6 NY A.A.68 TOP: 1- Example 7 KEY: problem solving cosine function radian measure inverse of a trigonometric equation multi-part question ESSAY 86. ANS: [] To find the number of sit-ups on Da 1, first write an explicit formula for the sequence using the explicit formula. You can see that the first term,, is 8 and the common difference is 5. Substitute these values into the formula:. Next, substitute 1 into the formula for n and solve for.. Simplif to find that. She will do 83 sit-ups on Da 1. [3] correct procedure with one minor mathematical error [] correct procedure with two minor mathematical errors [1] incomplete procedure or correct answer with no explanation or work shown PTS: 1 DIF: L3 REF: 11- Arithmetic Sequences OBJ: Identifing and Generating Arithmetic Sequences NAT: NAEP A1a CAT5.LV1/.8 CAT5.LV1/.50 CAT5.LV1/.51 CAT5.LV1/.53 IT.LV17/18.AM IT.LV17/18.CP IT.LV17/18.I S9.TSK3.NS S9.TSK3.PRA S10.TSK3.NS S10.TSK3.PRA TV.LV1/.10 TV.LV1/.11 TV.LV1/.9 TV.LV1/.5 TV.LVALG.53 TV.LVALG.5 STA: NY A.PS.3 NY A.R.8 NY A.A.9 NY A.A.30 NY A.A.3 NY A.A.33 TOP: 11- Example KEY: arithmetic sequence common difference explicit formula extended response problem solving rubric-based question sequence writing in math