Algebra II
Chapter 8 Exam – Make-Up
Name:________________
Date:_____________
Period:_______
A new car depreciates 15% per year. At the end of 4 years the value of the car is
$12,789.
1. What was the original purchase price?
1.____________(+2)
2. Write a function that models the value of the car.
2.____________(+1)
3. Does this function represent growth or decay? State the percentage increase or decrease.
f ( x)  1.25(.78) x
3.____________(+1)
_________________(+1)
4. Write an exponential function y  ab x for a graph that includes the given points.
(2, 0.32), (4, 0.0512)
4.____________(+3)
5. Graph the function. Make sure to have parent function table and final table. Clearly label at
least three points, the asymptote, domain, and range.(+5)
f ( x)  4(2) x1  3
6. Graph the function. Make sure to have parent function table and final table. Clearly label at
least three points, the asymptote, domain, and range.(+5)
y  2 log 3 ( x  4)
7. Write 5 3 
1
as a logarithmic function
125
7.____________(+1)
8. Evaluate log 4 32
8.____________(+1)
Write as a single logarithm
9. 5 ln x  2 ln 6
1
10. 3 log x  2 log y  log d
5
9.____________(+2)
10.____________(+3)
Expand the logarithm
2
x y
11. log  2
d
4
1
3
( xy ) 2
12. ln
m4
11.____________(+2)
12.____________(+3)
Solve each equation. Round answers to three decimal places if needed.
13. log( 2  5 x)  7
14. 3 log x  log 8  2
13.____________(+2)
14.____________(+3)
15. 5 2 x 3  18
16. ln x 2  ln 2  3
15.____________(+2)
16.____________(+3)
17. log 2 5x  log 2 x  3
18. e 3 x  2  12
17.____________(+3)
18.____________(+2)
19. An initial deposit of $7,200 is now worth $25,500. The account earns 3.7% interest and is
compounded continuously. How long has the money been in the account?
19.____________(+3)
20. List two real-world applications in which logarithms are used.
20.______________________________________________________________ (+2)
BONUS QUESTIONS:
Why do lumberjacks make good musicians?
Expand the logarithm.
 3 a 4 b5c 

21. ln  8
 4 2

x y 

21.________________________________________________ (+2)
Solve equation. Round answers to three decimal places if needed.
22. log 3 5  x  2 log 3


3  x 1
22.____________(+3)