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Algebra 1 B Final Exam Review: Chapter 8
Simplify each expression using only positive exponents.
4 7 0
1. a b c
3 5
2. (0.93 )(0.93 )
1 3
4. (m n m )
7. If z 
8
6
 x 4 y 2 
5.  3 5 
x y 
p 3 q 1
3. 2 6
qr
1
6. u 5v 4 (u 3v 2 )3
1
, which expression has the greatest value?
2
a. z 6 z 4
b. ( z 2 z 5 ) 2
c. ( z 3 )5
d. ( z 2 z 4 )3
8. Write 1193 in scientific notation.
9. At the end of 1993, there were 109 nuclear power plants operating in the United States. These plants generated a total
of 6,520,000,000,000,000 Btu (British thermal unit) of electric power in 1993. How much energy was generated per
plant? Write your answer in scientific notation.
10. A red blood cell is 0.000007 m in diameter. There are about 20,000,000,000,000 red blood cells in a 125-lb person.
If all of the red blood cells were lined up end to end, how long would the line be? Write your answer in scientific
notation.
Evaluate each function for x = –1, 1, 2.
11. f ( x)  4 7
x
2
12. y   6 x
3
13. f ( x)  13 (1.3)
x
4
14. h( x)  3  
5
Graph each function.
1
3
15. f ( x)   3x
1
3
16. y  3  
x
17. y  1 0.5x
x
18. An investment of $2000 doubles every 12 years.
a. Write an exponential function to model this situation.
b. How much is the investment worth after 36 years? After 60 years?
19. Suppose you deposit $1000 earned from your summer job in a savings account that pays 4.8% interest compounded
monthly.
a. Write an exponential function to model the amount of money in your savings account.
b. How much will you have in your account after 1 year? After 2 years?
20. For what values of x is the function y  3x between 0 and 1? For what values of x is the function less than 0?
 3x 2 
21.  3 
 2y 
4
 12 x 7 
22.  3 
 3x 
2
23.
 4xy 
3 2
24. The population of Cherryville was 34,000 in 2010 and the population is increasing 3% each year.
a. Write a function to model this situation.
b. Use the function to determine the population in 2028.
25. A car is currently worth $10,500. The value of a car decreases 15% each year.
a. Determine whether this represents growth or decay and identify the growth or decay factor.
b. Write a function to model this situation.
c. Use the function to find the value of the car in 6 years.
26. A radioactive substance has a half-life of 12 days. Suppose a patient receives a 25 mg sample of this substance.
a. Write a function to model this situation.
b. Use the function to determine how much of the substance is left after 9 days.