Algebra II
Chapter 8 Exam – A
A new car that sells for $23,500 depreciates 15% each year.
1. Write a function that models the value of the car.
Name:________________
Date:_____________
Period:_______
1.____________(+2)
2. Find the value of the car after 5 years.
2.____________(+1)
3. Does this function represent growth or decay? State the percentage increase or decrease.
f ( x)  1.25(1.12) x
3.____________(+1)
_________________(+1)
4. Write an exponential function y  ab x for a graph that includes the given points.
(3, 40), (6, 320)
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)  3(2) x  4
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  log 4 ( x  3)
7. Write 25 2  625 as a logarithmic function
7.____________(+1)
8. Evaluate log 4 64
8.____________(+1)
Write as a single logarithm
9. 4 ln x  3 ln 5
10. 2 log x  3 log y  5 log d
9.____________(+2)
10.____________(+3)
Expand the logarithm
x2 y
11. log 3
d
( xy 2 ) 3
12. ln
m
11.____________(+2)
12.____________(+3)
Solve each equation. Round answers to three decimal places if needed.
13. log( 7 x  3)  2
14. 2 log x  log 5  2
13.____________(+2)
14.____________(+3)
15. 5 2 x  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 $4,500 is now worth $12,948.29. The account earns 4.28% 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)