Wednesday, September 24, 2008

Function Graphs

This is a tiny bit more advance; from precalculus. These graphs, when memorized, can help you save time with function problems. Other than that, don't bother if it's too advanced.
1st column: 1) y=1/x
2) y=x^3
3) y=square root of x
4) y=ln x
2nd column: 1) y=x^2
2) y=absolute value of x
3) y=[[x]]
4) y=e^x

Common Prefixes 1 (A's)

Prefix..........Meaning.......... Example

ab, abs ............from, away............abduct, abjure (renounce,) abject

ad, ac, af, ........to, forward ...........admit, annexation, adjure
ag, an, ap,
ar, as, at

ambi................ both ...................... ambidextrous (skilled with both hands,)
..........................................................ambiguous, ambivalent

an, a................ without.................. anarchy, anemia, amoral

ante................. before.................... antecedent, antediluvian

anti.................. against, opposite.. antipathy, antiseptic, antithetical

arch................. chief, first.............. archetype, archbishop

Daily Vocabulary 2

superfluous - adj. unnecessary; excessive; overabundant
repudiate - v. disown; disavow
piety - n. religious devotion; godliness
frugality - n. thrift; economy
disparage - v. belittle

Monday, September 22, 2008

Daily Vocabulary 1

extol - v. praise; glorify
acrimonious - adj. bitter in words or manner
placate - v. pacify; conciliate
stagnant - adj. motionless; stale; dull
zealot - n. fanatic; person who shows excessive zeal

Laws of Exponents

Even though most of you know, you can apply these rules to so many different questions.

Some basic rules
ex. a^x+y = a to the x plus y power

1. (a^x)^y = a^xy
2. a^x+y = a^x*a^y
3. (ab)^x = a^x*b^x
4. 1/a^-x = a^x
5. -a^x = -1(a^x)
6.
7. a^0 = 1
8. a^1 = a
9. a^b*a^c = A^b+c
10. (a^c)/(a^b) = a^c-b

Scrambled Paragraph Help

Yeah, a lot of people have trouble with the scrambled paragraphs. Don't dwell on them, they are worth the same as two questions, so if you spend ten minutes on one, remember, nobody is there to hurt your pride-skip it. What you want is not 100%, but to get into the school of your choice.

Tips

1. Don't try to start with the first sentence, unless it is clearly noticeable.
2. Look for pronouns. Pronouns proceed a noun.
3. Pronouns are close to the noun it represents.
4. Look for synonyms, matching words, repetition... They usually go together.
5. Look for the author's voice. Follow it.
6. Make pairs, then put them together.
7. If a last name is involved, look for the full name. That comes before it.
8. Look for 'time words.' Usually things are in chronological order. Usually.
9. Often it starts off general, then more specific, maybe examples or explanations, then back to
general.

Purpose of Paragraphs
(knowing would help you understand the paragraph.)

1. Correct a misconception.
2. Explain.
3. Define.
4. Persuade.
5. Describe.
6. Compare and contrast.

Hello.

So.
Hi, you probably stumbled upon this sight hoping for test prep. Well, no.
What you'll find here are skills and tricks for a higher score, because a month before the test, you should have gotten the basics all down. (That means finished with that Barron's book.)
What matters now is the nitty-gritty details like vocabulary, math tricks, and maybe a overview of the basics. Most of the stuff I put here is just stuff I learned from my prep school, Ivy Prep, (so this is secondhand skills.) If you go there, you are already elite enough to stop looking here, unless you want a review or something.

What to Expect:

Math shortcuts
Laws and Rules
Scrambled paragraph linking methods
Vocabulary
and stuff like that.