Algebra 2 Final Exam Review #2
Simplify the radical expressions.
1.2.
3.4.
5.6.
7. 8.
Determine if the function is exponential growth or decay and find the rate of growth or decay. Round to the nearest tenth of a percent
9.y = 28(1.06)t10.y = 200(.71)t
11. The number of students in a school is increasing 11% per year. If there were 295 students in 2001, then how many were there in 2012?
12. The population of a small town is decreasing 7% per year. If the population was 30,000 in 1995, what was the population in 2015?
13. Charlie invests $6500 at an interest rate of 3.2% compounded quarterly. Find the balance of the account after 4 years.
14. The value of a car is $14,000 and is depreciating at a rate of 8% per year. Find the value after 5 years.
15. An account earns 1.8% interest compounded monthly. Find the account balance for an initial investment of $3000 after 4 years.
Determine if each sequence is arithmetic. If it is, find the common difference.
16.1, 3, 5, 7, 9, …17.4, 8, 16, 32, …
Find the 10th term of each arithmetic sequence.
18.1, 5, 9, 13, …19.4, 1.5, -1, -3.5, …
20. If a1 = 42 and d = -4, then what is a15?
Determine if each sequence is geometric. If it is, find the common ratio.
21.1, 3, 9, 27, …22.128, 64, 32, …
Find the 10th term of each geometric sequence.
23.1, 5, 25, 125, …24.¼ , -½ , 1, -2, …
25. If a1 = 13 and r = -2, then what is a8?
Simplify each number by using the imaginary number i.
26. 27. 28.
Simplify each expression.
29.(2 + 3i) + (5 2i)30.(5 + 3i) (8 + 2i)
31.(5 3i)(5 + 3i)32.(2i)(5i)(4)
Use the Quadratic Formula to solve each equation.
33.x2 – 5x + 4 = 0
34.6x2 + 5x = -2
35.A model rocket is launched into the sky. The quadratic function y = -16x2 + 80x models the height in feet of the rocket after x seconds. How long is the rocket in the air?
Graph the quadratic functions
36.y = x2 + 4x – 3 37.y = -2x2 + 4x + 3
38. You must make a password for your email account. The password must
consist of two letters followed by four digits. How many different passwords arepossible?
39. Your father is buying a sport coat, a pair of pants, and a tie. Sport coats come
in 6 different colors. Pants come in 4 different colors. There are 25 different tie
styles to choose from. How many different combinations are possible?
40. Twelve different types of pizza are being judged in a contest. In how many
different ways can the pizzas be judged first, second, and third?
41. Twenty students are trying out for the basketball team but only ten will make
the team. How many different groups of ten players could make the team?
42. What is the probability of rolling a 5 twice in a row on a number cube?
43. What is the probability of drawing a face card from a standard deck on one
draw?
44. What is the probability of drawing two cards from a deck and having both be
aces?
45. What is the probability of rolling a 3 on a die and flipping a coin and getting
heads?