## Math 098 - Chapter 7-8 Study Guide

1. 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
2. Solve the equation. Two parts. Look at problems 7.5.15 - 25, 51 - 61
3. 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
4. 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
5. 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
6. Rationalize the denominator. Assume all variables represent positive numbers. Two parts. Look at problems 8.7.3 - 13, 59 - 69
7. 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
8. 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