How do I craft a compelling argument in an essay or research paper and ensure that my argument is conveyed clearly to my reader?
Your entire essay should hang around a skeletal framework. Having extracted the "flesh" from your essay--the sentences which fill your body paragraphs--you should be left with a framework of bones, consisting of your introduction (the skull, which is integral as it provides the background and direction for the rest of your paper), the topic sentences of each paragraph (which should connect in a logical fashion which, when read in sequence, make clear for the reader the entire line of your argument), and the conclusion (which, like your feet, should point in possible directions of further exploration).
How do I balance providing an honest view of who I am as a person with the need to promote my skills and qualifications in my essays, interviews, and applications?
When writing your college essays, while it is important to choose a topic that is meaningful to you and express yourself with a genuine voice, it is also important to consider what takeaway message your writing will convey to the college admission staff. By brainstorming multiple essay topics and sharing them with an outside perspective, you can select a message that, while genuine, will convey to the committee specific details that convince them that you are a worthwhile student and a good fit for their school. Oftentimes, changing small details, such as phrases in your essays or the order of achievements you list on your common application, can make a difference in the way the admissions committee is likely to perceive you. Lastly (for now, as there are a million other tips I could give), it is important to consider the balance you strike between the different components of your application, so as to best highlight all of your different positive qualities.
What is the relationship between y = -2*(x-5) and y = 2x + 10?
They are mirror images of each other (the second is a reflection of the first across the y-axis).