- Topics At a Glance
- Solutions to Equations
- Checking Solutions to Equations
- Number of Solutions to an Equation
- Equivalent Equations
- Solving Equations with One Variable
- Adding and Subtracting Constants
- Checking Answers
- Adding and Subtracting Variables
- Multiplication and Division
- Complicated Equations
- Simplifying Equations
- Eliminating Fractions
- Keeping Both Solutions
- When You Get Stuck
- Solving Equations with Multiple Variables
- Solving Equations for Expressions
- Keeping Answers Pretty
- Factoring
- Geometry
- Single-Variable Inequalities
- Strict Inequalities
- Equivalent Inequalities
- Inequalities that Allow Equality
- Solving Inequalities
**In the Real World**- Fitting Things in Spaces
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem

Believe it or not, there are lots of jobs where you will need to know algebraâ€”including some exciting ones involving explosives. Especially jobs where you're hired to blow up inequalities.

Check out the US Military site and search for algebra; it appears in quite a few job descriptions. You know, like *You* + *Algebra* = *America*.

Algebra is useful because it provides a convenient way to solve lots of different types of problems. If we can turn a problem into an equation or inequality, then we can solve the problem by solving the equation or inequality. We don't need to think about the original problem until it comes time to actually write down the answer, when we need to make sure we are answering the right question.

It's like the bus that takes you from Point A to Point B, and you only need to wake up five minutes before you get there to make sure you're getting off at the right stop. Point B, in case you've forgotten.