## Math 098 - Chapter 1&2 Study Guide

1. Evaluate the expression without using a calculator. Show work when necessary. Five parts. Look at problems 1.2.53 - 1.2.83; 1.4.3 - 1.4.23; 1.6.5 - 1.6.25
2. The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. Look at problems 1.4.125 - 1.4.131
3. Translate the verbal description into an algebraic expression. Look at problems 1.5.73 - 1.5.85
4. Use your calculator to evaluate the expression. Write the calculator expression as well as the answer. Two parts. Look at problems 1.4.31 - 1.4.49
5. Simplify each expression. Three parts. Look at problems 1.5.37 - 1.5.63
6. Write the number in scientific notation. Look at problems 1.7.65 - 1.7.73
7. Write the number in decimal form. Look at problems 1.7.75 - 1.7.83
8. Simplify each expression, expressing each result with positive exponents. Assume all expressions are defined. Three parts. Look at problems 1.6.55 - 1.6.63; 1.6.83 - 1.6.95; 1.6.125 - 1.6.129
9. Determine the distance, to the nearest hundredth, between the two points. Look at problems 2.1.51 - 2.1.59
10. Estimate the domain and range of the relation and identify whether the relation is also a function. Look at problems 2.2.25 - 2.2.35 (not from text)
11. Evaluate some expressions in function notation. Two parts. Look at problems 2.4.3 - 2.4.9; 2.4.13 - 2.4.19; 2.4.29 - 2.4.31
12. Evaluate a difference quotient. Look at problems 2.4.87 - 2.4.89
13. Evaluate the function as indicated (you will want to use your calculator). Two parts. Look at problems 2.4.67 - 2.4.69
14. Sketch a graph. Estimate the coordinates of the relative minimum and relative maximum. Look at problems 2.5.33 - 2.5.35; 2.5.39 - 2.5.43
15. Sketch an example of a graph that meets the given conditions. Look at problems 2.5.51 - 2.5.55.
16. Sketch the graph of the relation. Identify the domain and range of the relation. Identify whether or not the relation is a function. Look at problems 2.2.11 - 2.2.19.

### Notes:

• Except where indicated, all problems are directly from the odd problems in the textbook.