1. 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.

2. 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) …
2) …
3) …
4) …
V - Determine the sum of a series using summation notation. 1) 2)

3. 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 = ______