Algebra 2 Final Exam
Name: ____________________________________
Procedural Questions
Period: _______ Date: _______________________
1.
Find the zeros (x-intercepts) and the vertex of f ( x)  x 2  6 x  16 .
Zeros
Vertex
2.
Identify the transformations that must be applied to y  x 2 to get the graph of g ( x)  2x  3  5 .
3.
Neatly graph h( x)  1x  2   3 on the axes at right.
2
2
4. Given f ( x)  2 x  1 and g ( x)  x 2
a. Find f (2)
5.
a.
b.
Find g  f x .
Consider the functions f ( x)  x 3  64 and h( x)  2 x  1  8
Factor f (x) .
b. Solve h( x)  0
Algebra 2 Final Exam
Name: ____________________________________
Procedural Questions
Period: _______ Date: _______________________
3
2
6. Find the quotient and remainder when f ( x)  3x  7 x  28x  37 is divided by x  4 .
7.
Write as a single logarithm: log 4 x  2 log 4 y  3 log 4 z .
8. Find the Sum, Difference, and Product of the complex numbers ( 3  5i ) and (  7  2i ).
Simplify your answers.
a) Sum
b) Difference
c) Product
9. There are 40 students competing for a Prize in a Statewide Mathematics competition.
Find the following…
a) How many ways can the 10 finalists be chosen?
b) How many ways can 10 finalists be arranged(?) (picked in order)?
c) Once the top 10 have been picked, in how many ways can (they) those 10 finalists be ranked?
Algebra 2 Final Exam
Name: ____________________________________
Procedural Questions
Period: _______ Date: _______________________
10. Use Matricies, Elimination, or Substitution to solve for X, Y, and Z.
2x + y – z = 5
3x – y + 2z = -1
x–y–z=0
11. A survey of coffee-drinking habits of the population in a small town revealed the mean number of cups
consumed per week is 20 and the standard deviation is 3.5. If a normal distribution is assumed, how many cups
per week will approximately 68% of the population of this small town drink?
***Show the normal distribution curve associated with this problem.
12. Use the quadratic formula to find all of the complex solutions to the equation x 2  10 x  29  0