Algebra 2 Part A
Second Semester Final Review
Logarithms & Exponential Equations
Solve for the unknown:
1.
Solve for the unknown:
2.
Write the equations for the next 2 steps:
3.
Rewrite using the change of base concept:
4.
Condense:
5.
Solve for the unknown:
6.
Name ______
Date ______Period____
Expand:
7.
Write an equation to fit the following:
8. A population of 300 toads increases at an annual rate of rate of 8% for the next 5 years. How many toads will there be at that time?
Write an equation to fit the following:
9. The 4000 lights on the roof line of Planet Hollywood®, fail at an annual rate of 12%. At this rate, how many will still function in 3 years?
Write an equation to fit the following:
10. $555 is placed in an account at an annual interest rate of 4% compounded quarterly. What is the value of the account in 8 years?
Write an equation to fit the following:
11. There were 3 schools in Murrieta back in 1990. The number of schools doubles every 5 years, how many schools will there be in 2010?
Find the inverse:
12.
Algebra 2 Part B
Second Semester Final Review
Rational Expressions, Quadratics & i
Find the horizontal asymptote(s):
1.
Find the vertical asymptote(s):
2.
Factor completely:
3.
Factor completely:
4.
Simplify
5.
Name ______
Date ______Period____
Simplify:
6.
Simplify:
7.
Solve:
8.
Sketch:
9.
Algebra 2 Part C
Second Semester Final Review
Conic Sections
Write an equation for:
1. an ellipse with co-vertices at , and vertices at .
Find the foci of:
2. an ellipse with vertices at , and co-vertices at
Find the value of “c” that will create a perfect square trinomial:
3.
Complete the square and place in the graphing form:
4.
Name ______
Date ______Period____
Write the graphing form of the circle with:
5. a center at , and through the point
Change to the graphing form:
6.
Find the vertices and foci of:
7.
For problems 8-10, name the shape:
8.
9.
10.
Algebra 2 Part D
Second Semester Final Review
Sequences & Series
1. Determine whether each sequence is arithmetic, geometric, or neither.
a. 3, 5, 8, 12, 17, …
b. -5, -2, 1, 4, 7, …
c. 1, 3, 9, 27, 8, …
d. -2, -4, 8, 16, -32,…
e. -6, -4, -2, 0, 2, …
2. Find the 20th term in the following sequence.
3, 7, 11, 15, …
3. Find the 30th term in the following sequence.
2, 4, 8, 16, 32, …
4. Find the common ratio for the following series:
Name ______
Date ______Period____
5. Find the sum of the following series.
a.
b.
c.
d.
e.
f.
Algebra 2 Part E
Second Semester Final Review
Combinatorics, Binomial Expansion, & Probability
Give the formula and the setup:
1. Seven women enter the Miss Murrieta Beauty Contest. If no ties are allowed, in how many ways can the first four places be awarded?
Give the formula and the setup:
2. A five person committee is chosen at random from a group of 76 people. How many different committees are possible?
Give the setup and/or formula:
3. Mr. Gergins is going to buy a new scooter. He can choose from 3 different styles of handle bars, 5 colors, and 2 different sizes of wheels. How may ways can Mr. Gergins order his new scooter from the dealer?
Name ______
Date ______Period____
Determine the coefficient of the term:
4.
Use the following information for problems 5-7.
A leather sack holds 2 red, 3 black, and 5 green marbles.
5. A marble is withdrawn from the sack and not replaced. Then a second marble is removed from the sack. What is the probability that the first marble was red, and the second marble was black?
6. A marble is removed from the original collection in the sack. What is the probability it is green?
7. A marble is removed from the original collection in the sack. What is the probability it is blue?