## Math 098 - Final Exam Study Guide

1. Sketch an example of a graph that meets the given conditions. Look at exam 1.15
2. Simplify the expression. Look at exam 1.5b
3. Simplify the expression, writing the expression with only positive exponents. Look at exam 1.8.b
4. Evaluate a function at a specific value. Look at exam 1.11a
5. Solve each equation algebraically. Three parts. Look at exam 2.1
6. Solve the formula for the indicated variable. Look at exam 2.2
7. Solve the inequality algebraically. Look at exam 2.5a and 5.2a
8. Write the equation of the line that contains the given points. Look at exam 2.9
9. Use the substitution technique to solve the system of linear equations. Look at exam 3.2
10. Use the addition / elimination technique to solve the system of linear equations. Look at exam 3.3
11. Divide two polynomials. Look at exam 3.12
12. Expand (multiply). Three parts. Look at exam 3.7def
13. Factor the expression completely. Three parts. Look at exam 3.9, 3.10
14. Simplify the expression. Two parts. Look at exam 4.1cf
15. Simplify. Assume that all variables represent positive numbers. Three parts. Look at exam 4.5aeg
16. Rationalize the denominator. Look at exam 4.8c
17. Solve the equations using any analytic method. Four parts. Look at exam 4.7, 5.1abf
18. Find the composition of two functions. Look at problems 11.1.35-37
19. Find the inverse of a function. Look at problems 11.2.41-47
20. Evaluate a logarithm. Look at problems 11.4.29-51
21. Use the properties of logarithms to expand the given expression. Assume all variables represent positive numbers. Look at problems 11.5.37-57
22. Use the rules of logarithms to combine the given expression into a single logarithmic expression with a coefficient of 1. Assume all variables represent positive numbers. Look at problems 11.5.73-89
23. Solve for x. Look at problems 11.6.31-43

### Notes:

• Problems from chapter 11 are directly from the homework, so when the problems to look at differ from the homework assignment, look at the homework assignment.
• The problems from the rest of the course are similar to, but not exactly the same as, the problems indicated from previous tests. They are not straight from the textbook, either.
 # 1 2 3 4 5 6 7 8 9 10 11 12 Pts 5 5 5 5 18 6 12 5 6 6 5 15 # 13 14 15 16 17 18 19 20 21 22 23 Total Pts 15 10 15 5 24 6 6 6 6 6 6 198