# Study Guide - Chapters 7-8

All problems 1 - 3 are directly out of the odds in the textbook.

1. Simplify each expression as much as possible. Express all answers in terms of positive exponents. Assume that all variables represent positive real numbers (so that you don't have to worry about the square root of x squared being the absolute value of x). Write any complex numbers in standard a + bi form. 20 parts.
2. Solve the equations. 6 parts.
3. Solve the inequalities. 2 parts.
4. Write the inverse, converse, and contrapositive of the given statement. 3 parts. Study the squaring property of equality.
5. Write a definition statement and give the domain of the variable. 2 parts. Do NOT solve these problems. Only define the variable and state the domain. Remember, there is more to domain than just eliminating division by zero. Look at problems in section 8.4. The problems are not exactly from the text, but are sufficiently close.

Look at the following sections and problems for problem #1 on the exam.

• 7.1: 3 - 53 (5 parts)
• 7.2: 5 - 33 (3 parts); 49 - 65 (1 part)
• 7.3: 15 - 31 (2 parts)
• 7.4: 19 - 43 (2 parts); 53 - 59 (1 part)
• 7.5: 1 - 17 (1 part); 33 - 45 (1 part)
• 7.7: 1 - 9 (1 part); 21 - 33 (1 part); 47 - 55 (2 parts);
Look at the following sections and problems for problem #2 on the exam.

• 7.6: 1 - 25 (2 parts)
• 8.1: 1 - 19 (1 part); 29 - 41 (1 part)
• 8.2: 33 - 49 (1 part)
• 8.3: 11 - 31 (1 part)
Look at the following sections and problems for problem #3 on the exam.

• 8.5: 17 - 21 (1 part); 23 - 35 (1 part)