## Math 098 - Chapter 7-8 Study Guide

- Simplify the expression. Six parts. Look at problems 7.1.55 - 71; 7.2.23 - 33, 41 - 51; 7.3.51
- 63, 69 - 81; 7.4.15 - 37
- Solve the equation. Two parts. Look at problems 7.5.15 - 25, 51 - 61
- Simplify. Assume that all variables represent real numbers. This means you may have to
include absolute value signs in some instances. Three parts. Look at problems 8.1.15 - 35, 81
- 101; 8.2.65 - 89
- Simplify. Assume that all variables represent positive numbers. This means that you do not
have to worry about absolute values. Two parts. Look at problems 8.3.31 - 45, 59 - 75
- Simplify. Assume that all variables represent positive numbers. Write each radical in
simplified radical form. Seven parts. Look at problems 8.4.19 - 29, 41 - 55, 59 - 71; 8.5.21 -
33, 61 - 65; 8.6.15 - 25, 27 - 41
- Rationalize the denominator. Assume all variables represent positive numbers. Two parts.
Look at problems 8.7.3 - 13, 59 - 69
- Solve the equation. Be sure to check for extraneous solutions. Be sure to use a +/- if you take
the square root of both sides of the equation. Remember that raising both sides to the 1/2
power is the same as taking the square root. Two parts. Look at problems 8.8.31 - 55, 81 - 87
- Perform the indicated operation and simplify. This is the only problem on the test dealing
with complex numbers. Three parts. Look at problems 8.9.19 - 29, 37 - 49, 89 - 101

### Notes:

- All problems are directly from the odd exercises in the textbook.

**#** |
**1** |
**2** |
**3** |
**4** |
**5** |
**6** |
**7** |
**8** |
**Total** |

**pts** |
24 |
10 |
9 |
6 |
21 |
6 |
10 |
9 |
95 |