Problems 1-8
These problems are designed to help you to see what you are trying to do when solving equations. For example, if we have x + 3- 3 (which is an expression not an equation) the result is x. So when solving equations, when we have x + 3 = 5, you need to look at the expression x + 3 and think, "What do I need to do?" The goal is to have x, so you need to do the opposite of adding 3, namely subtract 3 from both sides of the equation. Example 2 is showing you where these problems are leading.

Problems 9-16
See Examples 1 and 3. Note the directions: show all your work and be sure to keep the equal signs aligned. Note that "show your work" does allow you to do steps mentally. For example, Problem 9 a is to solve the equation 2x + 1 = 9. You can write:

Problems 17-22
See Example 3. If you do all of these, you can check your work by doing the puzzle problem in Problem 60.

Problems 23-35
See Example 4. Remember to do the work mentally and keep the equal signs aligned.

Problems 36-43
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax. Do not be afraid to give your opinion. These problems are asking you to verbalize the steps necessary to solve equations. If you practice doing this, it will help you internalize and remember the equation-solving process. In other words, these problems are designed to get you thinking about the process, rather than the "answer."

Problems 44-51
These applications give you some practical practice with currency exchange, which may be of use to you if you travel to another country. Take some time studying the example which is given as part of the directions for this problem. You will also need to use Table 3.1.

Note: Homework Hints are given only for the levels 1 and 2 problems. You can also check some sources for homework help on the Internet (see Links, below), or you can call the author at (707) 829-0606 or send an e-mail to: smithkjs@mathnature.com