1. From the concepts in the readings from Week Two, provide at least one real-world application of algebraic concepts as it would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, or sports.

2. What is the greatest common factor? How do you know when you have found the greatest one?

3. Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.

4. How do you factor the difference of two squares? How do you factor the perfect square trinomial? How do you factor the sum and difference of two cubes? Which of these three makes the most sense to you? Explain why.

5. What constitutes a rational expression? How would you explain this concept to someone unfamiliar with it?

6. How would you define what a rational exponent is? Is there such a thing as an irrational exponent? Explain.

7. What are the two steps for simplifying radicals? Can either step be deleted? If you could add a step that might make it easier or easier to understand, what step would you add?