1. Evaluate the following expressions using the calculator. No decimals! 1. (729) (5/6) 2. 125 (4/3) 3. ( 4  1296) 3 4. ( 5  1024) 2 Use the rules of exponents to simplify. Show work!(treat “e” just like “x” in these problems) 5. (17e 9 ) (7e 6 ) 6. (-19e -5 ) (-6e 8 ) 7. 35e -5 8. 6(e 3 ) 7 21e -13 38(e -4 ) -6 For #9-14, determine whether each equation is an example of exponential growth, or decay. Then, list the Domain, Range and Asymptote for each one. 9. y = (3) x + 210. y = -(5) x-3 Domain: Range: Asymptote: Growth/Decay: 11. y = (1/4) x+4 12. y = -(1/3) x-5 + 3 Domain:Domain: Range: Asymptote: Growth/Decay: 13. y = 2(1/5) x + 714. y = 4(2) x+1 - 4Domain: Range: Asymptote: Growth/Decay: Growth/Decay Review for Final - Unit 4

2. Simplify completely. Show work! 15.  (96x 10 y 7 )`16. 3  (375x 10 y 6 ) 17.  (81x 6 y 14 ) 18. 4  (80x 15 y 9 19. 5 20. 7 3  7 4  10 21 18 22. -8 4  6 5  2 For #23-26, tell whether each equation given is an example of exponential growth or decay. 23.y = e -x+1 - 624. y = -e -x+2 -1 25. y = -4e x+7 - 1126. y = 5e x -14 Review for Final - Unit 4

3. Solve for x. Show work! 27. 27 3x+4 = (1/9) -x+20 28. 4 6x-9 = 64 x+6 29. 125 2x-10 = (1/25) -x-7 30. 7 5x-53 - 67 = -18 31. 9 8x+29 + 56 = 78532. 3 -4x+19 – 78 = 155 33. 2(x – 8) 3/2 + 12 = 2834. 3(2x + 10) 4/3 – 16 = 752 35. 4(3x – 21) 2/5 + 27 = 63 36. 5(6x + 12) 3/4 – 14 = 121 37. 7(5x – 45) 5/2 + 64 = 21939 Review for Final - Unit 4

4. Convert the following exponential equations to logarithm form. 1. 2. Convert the following logarithm equations to exponential form. 3. 4. Evaluate. 5. 6. 7.8. Find the inverse of the following logs or natural logs. Show work! 9. 10 11. 12. 13. 14. Review for Final Unit 5

5. Expand the following log expressions into multiple logs. 17. 18. 19. 20. Condense the following log expressions into one log. 21. 22 23. 24. Solve the following equations for x. Show work! Round to 2 decimal places where needed. 25. 26. 27. 28. 29. 30. 31. Review for Final Unit 5

6. Warmup 12-14 A data set has a mean = 75 and a standard deviation = 7. 1.Label the normal curve below for the given data. 2. List the range of numbers for the 68%, 95% and 99.7% portions of the curve. 68% __________ 95% __________ 99.7 __________ What percent of the data should be: 3. between 68 and 96?4. greater than 82? 5. less than 89? A principal wants to know what all the students in the school think about the dress code policy. Several ways to choose the students are listed below. List the type of sampling used and whether each gives a biased or unbiased(representative) sample. 6.He asks all of the Juniors 7.He asks 30 randomly chosen Freshmen, Sophomores, Juniors and Seniors. 8.He asks the first 100 students that enter the building on a Friday morning. 9.He asks every 5 th student in every advisement class in the school. 10. He uses a computer to randomly select 250 students from the school.