Algebra 2 Final Exam
Name: ____________________________________
Final Review – Procedural Questions
1.
Period: _______ Date: _______________________
 2 
 x 
Write as a sum or difference of logarithms: log 7  1  .
 y 3 z5 


2.
Find the sum, difference, and product of the complex numbers 2  9i and 5  3i .
3.
Expand  x  y  . What is the coefficient of the term that contains x 2 y 2 .
4.
4
Jim has 7 trophies. He bought a trophy case to put his trophies in.
a. If there is enough space on the top shelf of the case for 4 trophies, how many ways can he arrange
them?
b.
If the bottom shelf has enough space for 3 trophies, how many ways can Jim choose 3 trophies from
the 7 that he has for the bottom shelf?
5.
Find the quotient and remainder when f ( x)  2 x 3  9 x 2  2 x  23 is divided by x  2 .
6.
Solve for x:
a. 0  3  7 x  2  6 x
7.
b.
 2  3 5x  1  6
 6 1
 1 1.5 
5  3


Given A   8  2 , B  
, and C   3 3 , find:

 2  4
 2 9
 0
5 
a.
 2 A  3C
b.
CB
Algebra 2 Final Exam
Name: ____________________________________
Final Review – Procedural Questions
Period: _______ Date: _______________________
8.
The scores on a math exam in a class are normally distributed with a mean of 86 and a standard deviation
of 6.
a. What percent of the data lies between 86 and 92?
b.
9.
What percentage of students scored higher than 98?
Mary’s sister Sally opens a savings account at a different bank. If she deposits $300 earns 5% compounded
continuously, how long does it take for the value of the account to double?
10. Solve each equation for x:
a. 2 x  5  6
b.
4 x  5  17
11. Use factoring, solving by square rooting, completing the square, or the quadratic formula to solve the
following problems:
a. x 2  6 x  7
b. 3 x 2  14 x  5
c.
x 2  14 x  50  0
d.
229  2 x  3  13
12. Solve the equation log x  log 4  2 .
14. Identify transformations to graph the equation y 
x
1
x4 5
2
1
15. Graph the equation y  3  by making a table of values.
2
2