# Study Guide - Chapters 5 and 6

## Math 098

- Factor each polynomial completely over the integers. Six parts. Look at problems 1 - 31 in
the chapter 5 review.
- Solve each equation. Three parts. Look at problems 33 - 43 in the chapter 5 review.
- Construct a quadratic equation in
*x* with the indicated solutions. Look at problems 45 - 47 in
the chapter 5 review.
- Simplify each expression as much as possible. State any necessary restrictions on the variable.
Five parts. Look at problems 15 - 33 in the chapter 6 review.
- Solve each equation. State any restrictions on the variable. Two parts. Look at problems 35 -
41 in the chapter 6 review.
- Application problem out of chapter 5 review. Hint: Should there be a Pythagorean theorem
problem on the test, you would be responsible for knowing the formula. Look at problems 52
- 55 in the chapter 5 review.
- Application problem. Look at problems 50 - 54 in the chapter 6 review.
- Application problem. Look at problems 50 - 54 in the chapter 6 review.
- Optional Extra Credit: Two parts. Simplify each expression as much as possible. These would
include negative exponents and variable coefficients. Look at problems 32, and 55 - 57 in the
chapter 6 review.

All questions on the exam are straight from the odd problems in the chapter 5 and chapter 6
reviews with the exception of problems 6 - 9. These problems are straight from the chapter
reviews, but may (or may not) be even.