Fall 2004 Final Algebra II Quiz

 

1. In 1977, the population of a country was estimated at just over 4 million. For any subsequent year the population, P(t) (in millions), can be modeled the equation
P(t) = [image] , where t is the number of years since 1977. Use a graphing calculator to estimate the year when the population will be 29 million.
2. Write an equation for the parabola shown.
[image]

3. Use the law of exponents to simplify:
[image]
4. Express as a single logarithm:
[image]
5. Evaluate and round your answer to the nearest hundredth.
[image]
6. Solve
[image]
7. Solve by the quadratic formula
[image]

Factor 8: [image]