# Tutor profile: Lydia B.

## Questions

### Subject: German

How can I remember the different pronouns each word has, like die, das, and der?

The best way to remember which pronoun goes with which word is to learn them alongside the word. One way to do this, is to draw a picture of a house with an attic, main floor, and basement. As you learn new words, write them out inside the picture of your house in the following way: - Words with a 'die' pronoun are written in the attic. - Words with a 'das' pronoun are written on the ground floor. - Words with a 'der' pronoun are written in the basement. Then, as you review the words, think to yourself "'Die' is in the attic" (as an example), and visualize the word as it appears in the attic in the drawing of your house. Do the same for every word you learn, and soon you'll associate each pronoun with the correct word.

### Subject: Writing

I have an idea for a paper but don't know how to start it. What can I do?

Start with gathering all the information you have: the information you're using for research (textbooks, online articles, etc). Open a new word document and in it write out the main ideas you need to get across in the paper. Don't worry about formatting or details right now, just limit it to one or two brief sentences for each idea or topic. Then, reformat the document so each idea is on a line by itself. These can serve as your paragraphs or as sentences within the paragraph once you start writing your paper. Under each line, make a bullet point for each fact you want to include in the paragraph or for the idea. Here's an example: Idea: the Revolutionary War was an important part of American history. - The war started in 1775 and ended in 1783. - The first battles were the Battles of Lexington and Concord. - The last battle of the war was the Battle of Yorktown. - George Washington was the commander in chief of the Continental Army. You could then continue with a second idea about George Washington: the last line of the previous idea. Continue filling out bullet points for each idea you want to include, then group ideas together so they make sense. For example, it would make sense to include an idea about George Washington as a general with an idea about the Revolutionary War. It would make a little less sense to include an idea about George Washington's childhood with the idea about the revolutionary war. Once you have all your ideas arranged together, you have your outline! Write each idea group as a paragraph, filling out the bullet points with actual sentences.

### Subject: Algebra

How do I solve an equation like $$4x^2 + 6x - 2 = 2?$$

Use the quadratic formula: $$\frac{-b±\sqrt{b^2-4ac}}{2a} = x$$ First, write our equation in the form $$ax^2+bx+c$$ = 0 To do this, divide both sides by 2: $$\frac{4x^2}{2} + \frac{6x}{2} - \frac{2}{2} = \frac{2}{2}$$ This reduces to $$2x^2 + 3x - 1 = 0$$ So our a = 2, b = 3, c = -1 Plug these into the quadratic formula: $$\frac{-3±\sqrt{3^2-4(2)(-1)}}{2(2)} = x$$ Solve the contents of the square root: $$\frac{-3±\sqrt{17}}{2(2)} = x$$ Solve the denominator: $$\frac{-3±\sqrt{17}}{4} = x$$ Separate the two cases in the numerator ($$+\sqrt{17}$$ and $$-\sqrt{17}$$: $$\frac{-3+\sqrt{17}}{4} = x$$ and $$\frac{-3-\sqrt{17}}{4} = x$$ These two values for x are our final solutions to the equation $$4x^2 + 6x - 2 = 2$$.

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