Algebra 2 Trig Honors Semester 2 Review Packet Name-PDF Free Download

Algebra 2 Trig Honors SEMESTER 2 REVIEW PACKET Name
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8 Find x to the nearest hundredth, a cot x 3 b sec54 x. 9 Solve the given triangles, 10 Suppose is an angle in standard postion whose terminal side is in the given quadrant For each function. find the exact values of the required trig ratios, a cos and cot 0 find csc b tan and cos 0 find sec. 11 Lucy and Charlie are riding on a Ferris wheel Lucy decides to start timing their rotation They hit the first. high point of 80 feet 8 minutes after she starts timing and it takes 12 minutes to complete a revolution She later. finds out that the lowest point of the wheel is 5 feet off the ground and decides to write a function of how high. she was off the ground in relation to time in minutes. a Write the equation of the function, b Graph the function. c At what time s do they hit 35 feet off the ground in one revolution. 12 Mary Jane noticed Spiderman on top of a building The angle of elevation she has with Spiderman is 53. Spiderman climbs to a lower location on the building and Mary Jane s new angle of elevation is 41 If Mary. Jane is 60 feet from the base of the building how far did Spiderman move down the building from the first. sighting to the second sighting, Problems 13 16 No Calculator.
13 Graph at least two periods of each function Please label your axes clearly and be sure to plot a point. every quarter of a period When given x use radians use degrees. a y 3 cos x, b y tan 2 x, c y 1 4sin 0 5 90, 14 Find the exact value of the following. b 6csc 240, c sin 2 135 cos 2 135, e sec f cot, 15 Write the equation of all the asymptotes over the entire domain of y sec. 16 Solve each equation in the indicated domain Given x use radians and given use degrees. a 4 cos 2 x 3 0 2 0 b 2sin 2 2 5sin 0 360, c 2sec x 1 all real s d cos 2 cos all real s. Chapter 5 Logs R2 5 1 5 5, Simplify the following no calculator. 64 x 2 y 3 3, 1 x y 9 xy, 3 5 3 16 3 81, 4 64 3 5 6 4.
7 log 4 16 8 log 4 4 6 9 8, Graph and state the domain and range no calculator. 10 log2 x 1, Expand each of the logarithms using your log properties. 11 log 12 log 2 3, Use the properties of logarithms to write as a single log. 13 log 2 x 5 log x 14 7log x log y, Solve the following equations calculator okay. 15 10 x 3 91 16 log 4 x 5 3 17 log3 x 5 log3 x 3 2. 18 log5 log x 2 log11 log x 3 19 log5 27 log5 49 log5 32 log5 x. 20 log 2x 3 1 log x 2 21 Solve for x 3x 2 55 x 1, 22 9e2x 7 47.
23 ln x ln 9 2 24 Solve for x ln 2 x ln x 1, round to the nearest tenth exact answer. 15x 2 y 3 z 5, 26 2 x 3 3x 5 y 3 2 27, 54x 9 y5 29 20 3 40 3 5 30. 31 Jenna is a freshman in college and working with a substance that has a. half life of 12 years She drops 60mg into a petri dish How much is left. when she retrieves it exactly 3 years later for an experiment her senior year. 32 The value of Kris s Jeep is depreciating at a rate of 13 per year. He bought the Jeep used in 2004 and estimates that it is now 2014 worth. 9 624 00 How much did the motorcycle cost when he bought it. 33 At age 18 you inherit 15 000 from your grandma and decide to place the. money into a CD account earning 1 2 annual interest compounded monthly. a How much money is in the bank account after 6 years when you graduate. from college with your Master s degrees and have to start paying off your student loans. b How long will you have to keep your money in the CD to earn 30 000. 34 If you put 8800 into a bank account compounding continuously at an annual. interest rate of 1 23 how long would it take for your money to appreciate to. Probability Not in the Book, All problems Calc okay Assume no replacement unless told otherwise. 1 Find the probability that if a dart is thrown inside the square that it lands on the unshaded area. 2 a If the spinner is spun one time what is the probability of spining a. Outcome Probability, b Create a probability distribution for the possible spinner outcomes. 3 One card is chosen from a standard deck of cards Find the probability of each situation occurring. a P black or Jack b P the 4 of hearts, c P spade or Queen d P at most a 9 of any suit with Ace low.
4 Two cards are chosen from the standard deck of cards Find the probability of. a P club then diamond replacement b P heart then heart. c P 2 then Queen d P club and diamond, 5 You throw a pair of dice one red the other black. a P the sum is at least four b P the sum is between three and ten inclusive. c the red die is a five or the black die is a two, 6 There are 2 red pens and 6 black pens on the desk If 4 are selected at random what is the probability. a you have exactly 1 red pen b all of the pens are black. 7 An ordinary deck of playing cards is used to play a game in which you are dealt a 4 card hand Find the. probability that, a you have exactly two red cards and two black cards b you have the ace of hearts. c you have all spades d you have at least one spade. 8 The table below holds information about students weather preferences. Likes the cold No preference Does not like the cold. Girls 45 70 50, Boys 60 30 35, A student is chosen at random Find each probability. a P boy b P someone who does not like cold, c P were a boy who did not like the cold d P likes the cold given that it s a boy.
e P a person with no preference is a girl f P were a girl who had no preference. 9 Make a tree diagram based on the survey results to help you answer questions about probability. Of all the respondents 17 are male, Of all the male respondents 33 are left handed. Of all the female respondents 90 are right handed, a Find P a female respondent is left handed. b Find P a respondent is both male and right handed. c Find the probability that given you are right handed you are female. Sequences and Series 11 1 11 3, 1 Write a general term an for the sequence. a 4 5 6 b 4 20 100 500, 2 Write each series using summation notation with the summing index k starting at k 1. a 27 64 125 216 b 1 1 1 1 1, 32 33 34 35 36, 3 Given the following sequences write both the EXPLICIT and RECURSIVE formulas.
a 10 6 2 2 6 b 52 13 3 25 0 8125, 4 Find the 47th term in an arithmetic sequence with a1 5 and d 3. 5 Find the 9th term in a geometric sequence with a2 6 and r 2. 6 Find the 13th term of, a a geometric sequence with a3 80 and a6 5 120. b an arithmetic sequence with a6 33 and a12 81, 7 First determine if the series is arithmetic or geometric or neither Then find the indicated sum. 8 Find 4 3 k 1, 9 Determine the summation of the following series 18 12 6 0 30. 10 In a geometric series with r 7 and a2 28 which term n would have the value an 3 294 172. 11 In a stadium the number of seats in each row often reduces as you go from the bottom to the top For. example in one section of a stadium the first row has 100 seats the second row has 97 seats the third row has. 94 seats and so on following this pattern How many rows are in this section of the stadium and how many. seats are in the last row, 12 Susie has been studying really hard in Spanish this semester and she has noticed a trend in her test grades.
Each test she takes is 1 4 better than the previous test She got a 72 on the first test of the semester and. there are 8 total tests, a Write an explicit formula describing Susie s percentage on the nth test. b What percent did she earn on the 8th test, 13 A bouncy ball is dropped from the top of Hinsdale Central 30 feet above the ground It hits the ground and. bounces 80 of its original height on each subsequent bounce. a What is the total distance that the ball travels when it hits the ground for the 4th time. b What is the total distance that the ball travels before it stops. Algebra 2 Trig Honors SEMESTER 2 REVIEW PACKET find the exact values of the required trig Each test she takes is 1 4 better than the previous test

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