1. College Algebra Practice Test 4 This review should prepare you for the fourth test in College Algebra. Read the question, work out the answer, then check yourself by clicking the mouse to see if you’re right.

2. 1. Is the following function one to one? y = x 2 -1 no

3. 2. Find the inverse of y=x³-1 Y = ³√(x+1) or y=(x+1) 1/3

4. 3. Find the inverse of y = (5x -7) / 2 Y = (2x + 7) / 5

5. 4. What is the point that is the inverse of (2, -3)? (-3, 2)

6. 5. Solve 9 x-4 =27 5-x X=23/5 or x=4.6

7. 6.a)Write in logarithmic form: 5²=25 b)Write in logarithmic form: e y =w c) Write in exponential form: log 2 32=5 A)log 5 25=2 B) ln w = y C) 2 5 =32

8. 7. a)Between what 2 integers is x for: 3 x =7 b) Then use logarithms to approximate x to the nearest thousandth A) between 1 and 2 B) 1.771

9. 8. a) using the change-of-base theorem, what is the exact value of log  e b) then approximate it to four decimal places a) Log e/log  B).8736

10. 9. How long would it take $1786 to become $2063 at 2.6% with interest compounded monthly? Round to the nearest hundredth. 5.55 years

11. 10. What is the translation of the graph of y=(1/2) x +1 from y=(1/2) x ? Is the graph increasing or decreasing? Moves up 1 and the graph is decreasing

12. 11. log (3x+25) = 3 325

13. 12. Find the required annual interest rate for $1200 to grow to $1780 if interest is compounded quarterly for 5 years. 8%

14. 13. Solve for w: 4 3w-2 =27 1.459

15. 14. Solve for x: 200 e 3x-1 =50 -.129

16. 15. Solve for x: 7 log 2 (x+2)=35 30

17. 16. f(x) = 3 x and g(x) = (1/4) x a) Find f(-1) b) Find g(-2) c) Find g(2) d) Find f(0) a) 1/3 b) 16 c) 1/16 d) 1

18. 17. Graph y= -2 x+1

19. 18. Graph y=2 x -3

20. 19. log 5 (2x-5)=log 5 (x+16) 21

21. 20. 3log 7 x= 2log 7 8 X=4

22. 21. log 5 x + log 5 4 = 2 25/4 or 6.25

23. 22. How long would it take your money to double at 5% interest compounded a)annually? b) continuously? a) Approximately 14.2 years b) Approximately 13.9 years

24. 23. What does it mean about the graph if there is no solution to a system of equations? They are parallel

25. 24. Solve the system: x + 3y = -2 y = 3x + 6 (-2, 0)

26. 25. Solve: 7x + 2y = -16 9y = 6x + 3 (-2, -1)

27. 26. Solve : 2x - 2y = -8 7x + 6y = 11 (-1, 3)

28. 27. Solve the system: 2x + y = 1 4x + 2y = 2 Many solutions (these are the same line)

29. THE END!!