1. Simplify the expression: √x 7 ∙ x 5/2 ∙ x -3/2

2. Simplify the following (16u 2/5 v -4 ) 5/4

3. Simplify: 10 √c 5k √(c -k ) 1/2

4. Rationalize the following and simplify 2 √x + 2

5. Describe the transformation taking place on the graph of y = 3 x a)3 (x-2) b)8 + 5(3 x )

6. When a child was born, a father put $3000 in a savings account that pays 4% annual interest, compounded quarterly. How much will be in the account on the child’s 18 th birthday?

7. If $1,000 is invested at 8% interest, find the value of the investment after 5 years for each compounding period: a)Annually b)Quarterly c)Monthly d)Weekly

8. There are now 3.2 million people who play bridge and the # increases by 3.5% a year. a)Write the rule of the function that gives the # of bridge players x years from now b)How many people will be playing bridge 15 years from now c)When will there be 10 million bridge players

9. Solve: a)Log 10 √43 b)Ln e x² + 2y

10. Use the properties of logarithms to express as a single logarithm. ½log 2 (25c²)

11. Express as a single logarithm: ln3x – 3 ln x + ln3y

12. Solve: e 3x = 4

13. Solve: ln x + ln(3x-5) = ln 2

14. Expand the following single logarithm: log 10 5x³y

15. Solve the following: 4e 2x =40

16. Solve the following: 5+2ln x =4

17. What is the value of ln e 8 ?

18. Using S(t) = Pe rt solve the following. According to a world almanac, the population of the world in 1991 was estimated to be 5.3 billion people. Assuming the world’s population is growing at a rate of 1.8% per year a)Write a function to model the information above(equation) b)Estimate the population of the world in the year 2001 c)In what year will the earth’s population be 15 billion