3
radians in degree measure.
5
5
Express
radians in degree measure.
6
Solve the equation for x: 4 x  256
1
Solve the equation for x: 3 x 
9
Given the function f ( x)  ( x  5) 2 . Find the numerical value of f ( 3) .
1. Express
2.
3.
4.
5.
6. Given the function f ( x)  2 x 2  7 . Find the numerical value of f ( 2) .
7. Find the product: (5  i )(9  3i ) .
8. Find the product: (2  7i )(3  6i ) .
2
bg
F1 I
find f GJ.
H16K
9. If f ( x)  x 3 find f 216 .
10. If f ( x)  x
3
4
11. The roots of the equation 3x 2  7 x  k  0 will be real when k = ?
12. The roots of the equation 2 x 2  3x  k  0 will be real when k = ?
13. If x  log 7 235 , find the value of x to the nearest hundredth.
14. If x  log 8 29 , find the value of x to the nearest hundredth.
15. In which quadrant does the sum of 2  3i , and ,1  5i lie?
16. In which quadrant does the difference of 2  3i , and ,4  7i lie?
b g
18. The expression b
8 x  1gin expanded form equals:
17. The expression 3x  2 in expanded form equals:
2
2
8a 2  16a
19. Reduce the algebraic fraction to lowest terms: 2
.
a  4a  4
2 y 2  18
20. Reduce the algebraic fraction to lowest terms:
.
2y  8
21. The graph of the equation 2 x 2  2 y 2  98 is the conic section:
22. The graph of the equation 8 x 2  3 y 2  24 is the conic section:
1
23. Express 3 log x  log y as a single logarithm.
4
24. Express log x  5 log y as a single logarithm.
25. If y varies inversely with x, and y = 15 when x = 6, find the value of y when x =
9.
26. If y varies inversely with x, and y = 18 when x = 12, find the value of y when x =
7.
27. If f ( x)  2 x 2  x and g ( x )  5x find f ( g (2)) .
28. If f ( x)  x 2  3x and g ( x )  5x find f ( g ( 2)) .
29. Find the solution set for the inequality x 2  4 x  32  0 .
30. Find the solution set for the inequality x 2  8x  12  0 .
31. What is the solution set for the equation 2 x  5  4  6 .
32. What is the solution set for the equation x  5  4  9 .
33. If cos A  0 and tan A  0 , in what quadrant does the terminal side of angle A lie?
34. If sin A  0 and sec A  0 , in what quadrant does the terminal side of angle A lie?
4  5i
35. Simplify and express in a + bi form:
.
2  3i
7  2i
36. Simplify and express in a + bi form:
.
4i
x y
37. Simplify the complex fraction: x
1 1

x y
6 1

5 y
38. Simplify the complex fraction:
25
36 y 
y
39. If log 3 81  x , find the value of x.
40. If log 7 x  3 , find the value of x.
x2
41. Find the domain of f ( x ) 
.
2x  3
5x
42. Find the domain of f ( x) 
.
x4
43. Solve for all values of x given the equation: 3x  5  30 .
44. Solve for all values of x given the equation: 7 x  1  22 .
3
45. Rationalize the denominator and express the answer in simplest terms:
.
12
3 5
46. Rationalize the denominator and express the answer in simplest terms:
.
5
Part II
1. Solve the following absolute value inequality and graph the solution set on the
real number line: 2 x  3  9
2. For the equation x 2  6x  5  0 , find a) the sum of the roots and b) the product of
the roots.
3. Write in simplest form: 2 50  3 18 .
4. Factor the following expression completely: 2 x 3  8x 2  90x .
Part III
1. Solve the following equation and express the roots in simplest a + bi form.
4 x 2  6x  9  0