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11. Pretest
12. Use set notation to write the elements of each set. Then
determine whether the statement about the set is true or false .
1. L is the set of whole number multiples of 2 that are less than 22. 18 ∈ L
Determine whether each function has a maximum or minimum
value. Then find the value of the maximum or minimum, and state
the domain and range of the function.
2. S is the set of integers that are less than 5 but greater than -6. -8 ∈ S
Let C = {0, 1, 2, 3, 4}, D = {3, 5, 7, 8}, E = {0, 1, 2}, and F = {0,
8}. Find each of the following.
3. 4. 5. 13. 6. Simplify.
7. (6 + 5i) + (–3 + 2i)
8. (–3 + 4i) – (4 – 5i)
9. (1 + 8i)(6 + 2i)
10. (–3 + 3i)(–2 + 2i)
14. 11. Solve each equation.
15. x2 – x – 20 = 0
12. Determine whether each function has a maximum or minimum
value. Then find the value of the maximum or minimum, and state
the domain and range of the function.
16. x2 – 3x + 5 = 0
17. x2 + 2x – 1 = 0
18. x2 + 11x + 24 = 0
19. CARS The current value V and the original value v of a car are related
n
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by V = v(1 – r) , where r is the rate of depreciation per year and n is the
number of years. If the original value of a car is $10,000, what wouldPage
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the current value of the car after 30 months at an annual depreciation
rate of 10%?
16. x2 – 3x + 5 = 0
27. 17. x2 + 2x – 1 = 0
28. JOBS Destiny mows lawns for $8 per lawn and weeds gardens for $10
Pretest
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per garden. If she had 8 jobs and made $72, how many of the jobs were
mowing? How many were weeding?
18. x + 11x + 24 = 0
Solve each system of equations. State whether the system is
consistent and independent, consistent and dependent, or
inconsistent.
19. CARS The current value V and the original value v of a car are related
n
by V = v(1 – r) , where r is the rate of depreciation per year and n is the
number of years. If the original value of a car is $10,000, what would be
the current value of the car after 30 months at an annual depreciation
rate of 10%?
29. Simplify each expression.
30. 20. 21. 31. 22. 23. 32. Simplify.
Solve each system of inequalities. If the system has no solution,
state no solution.
24. 33. 25. 26. 34. 27. 35. 28. JOBS Destiny mows lawns for $8 per lawn and weeds gardens for $10
per garden. If she had 8 jobs and made $72, how many of the jobs were
mowing? How many were weeding?
Solve each system of equations. State whether the system is
consistent and independent, consistent and dependent, or
inconsistent.
36. Find each of the following for D =
,E=
, and F
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=
30. .
49. CARDS Three cards are randomly drawn from a standard deck of 52
cards. Find each probability.
a. P(all even)
b. P(two clubs and one heart)
36. Pretest
Find each of the following for D =
,E=
, and F
Find the mean, median, and mode for each set of data. Then find
the range, variance, and standard deviation for each population.
50. {7, 7, 8, 10, 10, 10}
51. =
.
37. D – F
38. D + 2F
39. 2D – E
40. D + E + F
41. 3D – 2E
42. D – 3E + 3F
Find each permutation or combination.
43. 9C5
44. 9P5
45. 5P5
46. 5C5
47. 4P2
48. 4C2
49. CARDS Three cards are randomly drawn from a standard deck of 52
cards. Find each probability.
a. P(all even)
b. P(two clubs and one heart)
Find the mean, median, and mode for each set of data. Then find
the range, variance, and standard deviation for each population.
50. {7, 7, 8, 10, 10, 10}
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