| 1. |
Which of the following statements is correct ?
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| 2. |
Let  . What is  ?
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| 3. |
Let  . What is  ?
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| 4. |
Graph  .
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| 5. |
Which of the following graphs can be the graph of  ?
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| 6. |
Find the domain of  .
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| 7. |
Solve:  .
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| 8. |
Solve:  .
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| 9. |
Solve:  .
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| 10. |
Solve:  .
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| 11. |
Find the domain of  .
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| 12. |
Find the domain of  .
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| 13. |
Find the slope of the line passing through the points  and  .
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| 14. |
Which of the following lines do not have slope ?
| (a) |
Line passing through the points (1,2) and (1,3).
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| (b) |
Line passing through the points (1,2) and (2,3).
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| (c) |
Line passing through the points (1,2) and (-1,3).
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| (d) |
Line passing through the points (1,2) and (0,2).
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| 15. |
Which of the following statements are true about the line  :
| (a) |
The slope of this line is  .
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| (b) |
The slope of this line is  .
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| (c) |
The slope of any line perpendicular to this one is  .
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| (d) |
The slope of any line parallel to this one is  .
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| (e) |
On this line, for a unit increase in  , we have that  goes up by  .
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| (f) |
On this line, for a unit increase in  , we have that  goes down by  .
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| (g) |
On this line, for a 3-unit increase in  , we have that  goes up by  .
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| (h) |
On this line, for a 3-unit increase in  , we have that  goes down by .
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| (i) |
On this line, if the change in  is  , then the change in  is  .
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| (j) |
On this line, if the change in  is  , then the change in  is  .
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| 16. |
Write down an equation of a line passing through the points (-1,2) and (2,4).
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| 17. |
Write down an equation of a line passing through the points (-1,3) and (-1,4).
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| 18. |
Write down an equation of a line passing through the points (-1,3) and (3,3).
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| 19. |
Find the slope and the  -intercept of the line with the equation  .
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| 20. |
Write down an equation of a line with  -intercept equal to 5 and slope equal to 3.
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| 21. |
A nurse is mixing two solutions. The first solution contains 0.7 mg of substance A per ounce of solution. The second solution contains 1.0 mg of substance A per ounce. In what proportions should the two solutions be mixed to obtain a solution containing 0.8 mg of substance A per ounce ?
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| 22. |
Graph  on the coordinate plane.
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| 23. |
Graph  on the coordinate plane.
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| 24. |
Graph  on the coordinate plane.
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| 25. |
Graph the following system.
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| 26. |
A lab assistant is preparing a meal for a lab rat. The meal will consist of two types of food. The first type of food has 100 calories and 20 mg of vitamin A per ounce. The second type of food has 50 calories and 5 mg of vitamin  per ounce. The rat has to get at least 200 mg of vitamin  but no more than 500 calories. Describe all the food combinations which can be fed to the rat.
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| 27. |
Find the intercepts of the parabola  .
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| 28. |
Write down the equation of the circle centered at (2,3) and with the radius equal to 3.
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| 29. |
What is the center and the radius of the circle  ?
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| 30. |
Let  , let  . What is the formula and the domain for  ?
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| 31. |
Let  let  . What is the formula and the domain for  ?
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| 32. |
Let  let  . What is the formula and the domain for  ?
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| 33. |
Graph  .
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| 34. |
Graph  .
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| 35. |
Compute  .
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| 36. |
Compute  .
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| 37. |
Compute  .
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| 38. |
Compute  .
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| 39. |
Compute  .
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| 40. |
Compute  .
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| 41. |
Compute  .
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| 42. |
Compute  .
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| 43. |
Compute  .
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| 44. |
Let  . What is the average rate of change of  between  and  for any  ?
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| 45. |
Find the increment of the function  in the interval  .
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| 46. |
Let  . Let  . Find the corresponding  .
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| 47. |
Find the average rate of change for the function  in the interval  .
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| 48. |
Let  . Find the average rate of change of  in the interval  .
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| 49. |
Let  . Find  .
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| 50. |
A population of a certain bacteria grows according to the formula  , where  is measured in hours and  is measured in mg. Find the average rate of growth of the population of the bacteria between t=2 and t=4 hours.
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