Math 098  Final Exam Study Guide
 Sketch an example of a graph that meets the given conditions. Look at exam 1.15
 Simplify the expression. Look at exam 1.5b
 Simplify the expression, writing the expression with only positive exponents. Look at exam
1.8.b
 Evaluate a function at a specific value. Look at exam 1.11a
 Solve each equation algebraically. Three parts. Look at exam 2.1
 Solve the formula for the indicated variable. Look at exam 2.2
 Solve the inequality algebraically. Look at exam 2.5a and 5.2a
 Write the equation of the line that contains the given points. Look at exam 2.9
 Use the substitution technique to solve the system of linear equations. Look at exam 3.2
 Use the addition / elimination technique to solve the system of linear equations. Look at exam
3.3
 Divide two polynomials. Look at exam 3.12
 Expand (multiply). Three parts. Look at exam 3.7def
 Factor the expression completely. Three parts. Look at exam 3.9, 3.10
 Simplify the expression. Two parts. Look at exam 4.1cf
 Simplify. Assume that all variables represent positive numbers. Three parts. Look at exam
4.5aeg
 Rationalize the denominator. Look at exam 4.8c
 Solve the equations using any analytic method. Four parts. Look at exam 4.7, 5.1abf
 Find the composition of two functions. Look at problems 11.1.3537
 Find the inverse of a function. Look at problems 11.2.4147
 Evaluate a logarithm. Look at problems 11.4.2951
 Use the properties of logarithms to expand the given expression. Assume all variables
represent positive numbers. Look at problems 11.5.3757
 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 11.5.7389
 Solve for x. Look at problems 11.6.3143
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 