1. From the concepts in the readings from Week Three, provide at least one real-world application of algebraic concepts as they would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, sports, or environmental science.
2. Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
3. Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
4. Do all rational equations have a single solution? Why is that so?
5. How are these concepts of direct, inverse, and joint variation used in everyday life? Provide examples for each.
6. Other than those listed in the text, how might the Pythagorean Theorem and distance formula be used in everyday life? Provide examples of each.
7. Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0, may have how many solutions? Explain why.
8. What is the quadratic formula? What is it used for? Provide a useful example, not found in the text.