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Appendix Review
Appendix Unit
Find the value of each expression if x = 3 and y = -4
1. 4 x  3 y
2. 6 x  2 y
Determine the domain
10
5
4.
5. 2
x3
x  13 x  30
Reduce each rational expression.
x 2  4x  4
x 2  3x  2
Factor
15. x 6  2 x 3  1
12.
13.
x3  8
x3  2x 2
16. x 4  81
3.  9 x  4 y 2
6.
4x  2
x 2  25
14.
8  2x
x  x  12
2
17. 52x  9  x2x  9
Perform the indicated operation.
1
2
3
3
x4
12
x2 1
 3
 2
18. 2
19.  2
20.

2
x x x x x
x  1 x  2x  1
x  x 4x  2
Find the Quotient and Remainder using LONG division.
21. 3x 3  4 x 2  x  7 divided by x  2
22. 3x 5  x 2  x  2 divided by 3x 3  1
Use SYNTHETIC division to find the quotient and remainder.
23.  4 x 3  2 x 2  x  2 divided by x  2
24. x 4  1 divided by x  2
Solve each equation.
25. 8x  2x  1  3x  10
26. 2 x 2  5 x  3  0
28. x 3  16 x 2  0
29.
31. x 3  4 x 2  x  4  0
32. 2 x 3  4  x 2  8 x
4
6

x  4 x 1
27.
1
3
x4 x
2
4
30.
x
x3
3
 2
 2
x 1 x  x x  x
2
Solve by completing the square.
33. x 2  4 x  3  0
34. 4  5 x   x 2
35. 8  x 2  3x  0
Write each expression in the form a + bi
3
36. 2  i 
37.  3i4i  23i  4
38. 6  2i 3i 8  4i 
Solve each equation in the complex number system
39. x 2  4 x  8  0
40. x 2  2 x  5  0
41. 10 x 2  6 x  1  0
Solve each inequality. Express your answers using interval notation.
42. 2x  2  3  x
43. 8  42  x  6x
44. 8  4x  4  20
45. 4 x  20
46. 1  2 x  4  1
47. x4 x  3  2 x  1
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