Algebra 2/Trig – Unit 8 Review Name: ________________________ Date__________________________ I - Calculate basic and compound probability. Express your answer as a fraction in simplest form. 1) A card is drawn from a standard deck of 52 cards. Find the probability of selecting a Jack or a Ten. 2) A card is drawn from a standard deck of 52 cards. Find the probability of selecting a Queen or a Spade. 3) A card is drawn from a standard deck of 52 cards. Find the probability of selecting Black or a Face Card. 4) Each time a card is drawn from a standard deck of cards, it is not replaced. Find the probability of selecting an Ace then a 6. 5) Each time a card is drawn from a standard deck of cards, it is not replaced. Find the probability of selecting two Aces in a row. 6) Each time a card is drawn from a standard deck of cards, it is not replaced. Find the probability of selecting two Clubs in a row. 7) A pair of dice are thrown. Find the probability of rolling doubles (the numbers matching). 8) A pair of dice are thrown. Find the probability of getting a sum of exactly 10. II - Determine the odds of a situation. Express your answer as a ratio in simplest form. 1) The odds of an event occurring are 1:3. Find the probability of that event. 2) The odds of an event occurring are 5:2. Find the probability of that event NOT occurring. 3) The probability of an event is 10/13. Find the odds of the event occurring. 4) Determine the odds of selecting a King from a standard deck of cards. 5) Determine the odds of selecting a black card from a standard deck of cards. 6) Determine the odds of selecting either an 8 or a Heart from a standard deck of cards.

V - Determine the sum of a series using summation notation. III- Write a formula to represent each arithmetic or geometric sequence. Then find a10. 1) 3, 7, 11, 15, … 2) 3, 9, 27, 81, … 3) d = -5, a3 = 12 4) r = 0.4, a5 = 64 IV- Determine the sum of the first 15 terms for each arithmetic or geometric series. 1) 3 + 6 + 9 + 12 + … 2) 19 + 17 + 15 + 13 + … 3) 2 + 4 + 8 + 16 + 32 + … 4) 20 + 10 + 5 + 2.5 + 1.25 + … V - Determine the sum of a series using summation notation. 1) 2)

2) Please leave the side (a) as a radical. VI Directions: Find all indicated variables. (x and y refer to angle measures; a, b, c, and d refer to side lengths). If possible, leave your answer as a simplified square root. If you must have a decimal answer, round all answers to the nearest hundredth. 1) No decimal answers! 2) Please leave the side (a) as a radical. 19 11 a c b 18 a 30 45 xº a = _________ b = _________ c = _________ a = _________ x = _________ 3) No decimal answers! 4) a 32 30 yº xº b d a c 30 60 a = _________ b = _________ c = _________ d = _________ a = _________ x = _________ y = _________ 5) Given the below diagram, identify all six trig ratios, in simplified radical/fractional form. 6) Given . Find the other five trig ratios. All ratios must be in simplified radical/fractional form. sin θ = ______ cos θ = ______ tan θ = ______ 6 4 θ cos θ = ______ tan θ = ______