Name: _______________________________
Algebra 1 B Final Exam Review: Chapter 8
Simplify each expression using only positive exponents.
1. 2. 3.
1.156203
4. 5. 6.
7. If , which expression has the greatest value?
a. b. c. d.
B
8. Write 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.
Btu
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.
m
Evaluate each function for x = –1, 1, 2.
11. 12. 13. 14.
, 28, 196 , 4, 24 10, 16.9, 21.97
Graph each function.
15. 16. 17.
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?
$16,000; $64,000
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?
$1049.07; $1100.55
20. For what values of x is the function between 0 and 1? For what values of x is the function less than 0?
x < 0; the function y is always positive
21. 22. 23.
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.
57,883 people
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.
exponential decay; 0.85
b. Write a function to model this situation.
c. Use the function to find the value of the car in 6 years.
$3,960.08
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.
14.87 mg