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 Sample Final Exam

 

 

Version 1.(1- 40)

1. Graph the set:

2. Solve and check:

3. The shipping costs for a mail order purchase are $3.50 plus 15% of the price of the purchase. If the shipping cost is $8.00, what is the price of the purchase?

4. A butcher combined 90lb of hamburger that cost $1.50 per pound with 50lb of hamburger that cost $3.60 per pound. Find the cost of the hamburger mixture.

5. Find the x- and y- intercepts of 2x - 5y = -10.

6. Find the equation of the line containing and .

7. Graph:

8. The Melrose Tennis Club charges $500 a year for membership plus a $2 an hour fee for use of a tennis court by its members. The equation that describes the cost of membership per year is given by C = 2n + 500, where n is the number of hours of tennis court use. Graph this equation for .

9. Graph:

10. Evaluate the determinant:  

11. A rowing team rowing with the current traveled 45 miles in 3hours. Against the current, the team rowed 27 miles in 3 hours.  Find the rate of the rowing team in calm water and the rate of the current.

12. Graph the solution set:

13. Multiply:

14. Simplify:

15. Divide:

16. Graph:

17. Multiply:

18. Divide by long division:

19. Solve by factoring:

20. Add:

21. Divide:

22. Divide:

23. Solve:

24. Simplify:

25. Solve:

26. An express bus travels 300 mi in the same amount of time as a car travels 270 mi. The rate of the car is 6 mph less than the rate of the bus. Find the rate of the car.

27. The pressure (p) on a driver in the water varies directly as the depth (d). If the pressure is 6 lb/  when the depth is 12 ft, what is the pressure when the depth is 16 ft?

28. Solve by completing the square:

29. Solve:

30. Find the coordinates of the vertex of

31. To determine if a graph is a function, what test do you have to do?

32. If and , find .

33. Find the inverse of .

34. Graph:

35. Write

36. Solve for x:

37. Write the first 3 terms of the expansion of

38. Solve: 

39. Graph:

 

40. Find the equation of the circle with radius 3 and center (3, -2).

 

Answers: (Version 1)

 

Version 2. (1 - 50)

1. Simplify: 

2. Evaluate when a = -1, b = 2, and c = -3

3. Simplify:

4. Find , given and

5. Solve:

6. Solve:

7. For one performance of a play, 360 tickets were sold. Reserved seat tickets sold for $12 each, and general admission tickets sold for $8 each. Receipts from the sale of the tickets totaled $3340. Find the number of general admission tickets sold.

8. An investment advisor deposited a total of $50,000 into two simple interest accounts. On the tax-free account the annual simple interest rate is 7%, and on the money market fund the annual simple interest rate is 13%. How much should be invested in the money market fund so that both accounts earn the same interest?

9. Simplify:

10. The width of a rectangle is (2x - 7)ft and the length is (6x + 1) ft. Find the area of the rectangle in terms of the variable.

11. Factor:

12. Factor:

13. Factor:

14. Divide:

15. Multiply:

16. Subtract:

17. Solve:

18. Solve: for .

19. Simplify:

20. Write: as square root.

21. Simplify:

22. Subtract:

23. Solve:

24. Graph y = -3x + 5.

25. Find the slope of the line containing the points (-6, -2) and (-1, 3).

26. Find the equation of the line that contains the point (-1,2) and has slope

27. Graph the solution set of 3x - 2y > 6.

28. Solve:

29. Solve:

30. Solve:

31. Evaluate the function at x = -3.

32. Is the following set of ordered pairs a 1 - 1 function?

    

33. Find the inverse of the function

34. Graph

35. Find the minimum value of the function

36. Find the equation of the circle with radius 11 and center (3, -8).

37. Graph

38. Solve:

39. Solve:

 

40. Evaluate the determinant:

 

 

41. Solve:

 

42. Find

 

43. Solve for x:

44. Write as a single logarithm with a coefficient of 1.

45. Solve for x:

46. Solve for x:

47. Find the 17th term of the arithmetic sequence whose first term is 25 and whose common difference is -4.

48. Find the sum of the first 30 terms of the arithmetic sequence 2,4,6,....

49. Find the sum of the first 5 terms of the geometric sequence 12, -36, 108,....

50. Find the 4th term in the expansion of .

 

 

Answers: (Version 2)