Algebra II
Chapter 8 Exam – A
Name:________________
Date:_________
Period:______
2
For questions 1-4, let f ( x)  x  5 and g ( x)  x  7 . Perform each
indicated operation.
1. f ( x)  g ( x)
2.
f
 g (x)
1.____________(+1)
2.____________(+1)
3. f ( x)  f ( x)
4.
g ( x)
f ( x)
3.____________(+1)
4.____________(+1)
A new car that sells for $20,000 depreciates 15% each year.
5. Write a function that models the value of the car.
5.____________(+2)
6. Find the value of the car after 3 years.
6.____________(+2)
For problems 7 and 8 let f ( x)  3x  5 and g ( x)  x 2  1
7.
f
 g (2)
8. g ( f (3))
7.____________(+2)
8.____________(+2)
For the function f ( x)  3x  5 :
9. Graph and label f (x)
(+2pts)
10. Find f
1
( x)
11. Graph and label f
1
( x)
(+2pts)
10.____________(+3)
12. Does this function represent growth or decay? State the growth or
x
decay factor.
f ( x)  1.3(1.08)
12.____________(+1)
_________________(+1)
13. Graph the function. Make sure to have parent function table and final
table.
(+5)
f ( x)  3(2) x  4
14. Write 25 2  625 as a logarithmic function
14.____________(+1)
15. Evaluate log 2 16
15.____________(+2)
16. Graph the function. Clearly label at least three points
y  log 4 ( x  3) (+5)
Write as a single logarithm
17. 4 log x  3 log 5
18. 2 log x  3 log y  5 log d
17.____________(+2)
18.____________(+3)
Expand the logarithm
x2 y
19. log 3
d
( xy 2 ) 3
20. log
( x  3)
19.____________(+3)
20.____________(+3)
Solve each equation. Round to the nearest hundredth.
21. log( 7 x  3)  2
21.____________(+3)
22. 2 log x  log 5  2
22.____________(+3)
23. 7 3 x  20
23.____________(+3)
24. ln x  ln 2  3
24.____________(+3)
EXTRA CREDIT:
1.
Shadow and his men searched the frozen tundra for escaped convict Sid Shady. Just as
they were about to give up, one of Shadow’s men spotted a body. Shady was found lying
dead in the snow. There were no tracks leading to or from the body. The cause of
death was partially due to the unopened pack on his back. Shady did not die of thirst,
hunger or cold. What was in Shady’s pack that led to his death?
2. Using one set of letters in the same order, can you fill in the blanks and make a normal
sentence?
A _o _a _ l _ doctor had _o
_ a _ l _ and therefore, was _o_
a __ l _ to operate
3. Duncan Drivel was riding a particularly frisky horse when suddenly its bridle came off.
As they raced down the road, a screaming Duncan clung to the horse’s ears for dear life.
Out of the corner of his eye, Duncan saw a car coming, and realizing the horse was
completely out of control, he panicked. Flailing his arms about, he accidently caused the
horse to come to an abrupt halt. What could Duncan have done to make the horse stop?