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Practice with Simple Rational Expressions

The following problems represent examples from all of your lessons in the rational expressions unit, all mixed up. The idea is to get you to be more comfortable switching between processes as you need them.

Below are reminders to help you:
Standard form – always!
Divide away common terms.
Look for special cases (difference of two squares, perfect square trinomials.)
For all rational expressions, factor, factor, factor!

1. Simplify:

2. Simplify:

3. Simplify:

4. Solve:

5. Simplify:

6. Simplify:

7. Simplify:

8. Solve:

9. Solve:

10. Simplify:

11. Simplify:

12. Solve:

13. Simplify:

14. Simplify: