# Write out relevant formulas from the question we have

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Write out relevant formulas: From the question, we have f ( x ) = x 5 and g ( x ) = | x |. A ssemble equations: We’re looking for g ( f (-1)), so let’s spell out what that means: g ( f (-1)) = | f (-1)| f (-1) = (-1) 5 P lug in and solve: Now we just solve for f (-1) and plug the answer into g : f (-1) = (-1) 5 = -1 plug that answer into g g ( f (-1)) = |-1| = 1 So our answer is C. Data & Statistics These questions cover probability, averages (mean, median, & mode), and data representation (graphs, tables, scatterplots, etc.). Here’s an example: A car race has 2 red cars, 3 green cars, and 4 blue cars. If a blue car comes in last, what is the prob - ability that a red car comes in first? (A) 1/9 (B) 2/9 (C) 2/7 (D) 1/8 (E) 1/4 Now for a change of pace, let’s UnWrAP this one: Un derline: “probability that a red car comes in first.” Write out relevant formulas: 2 red cars, 3 green cars, 4 blue cars Probability event = number of ways it could come true total possible outcomes A ssemble equations: We need to figure out the to - tal number of possible outcomes and the number of ways a red car could come in first. Since there are 2 red cars, there are 2 ways one could come in first (either one could win). Since there are 9 total cars (2 + 3 + 4 = 9), we might think there are 9 total possible outcomes. But since a blue car definitely comes in last, we know that there are only 3 blue cars that could come in first. So we get these equations: Probability red car winning = number of red cars total cars that could win number of red cars = 2 total cars that could win = 8 P lug in and solve: This should be easy: Probability red car winning = 2/8 = 1/4 The answer is (E). (800) 501-Prep | TopTestPrep.com
others ask about how the sentences work together. Flow like Flo-Rida. A lot of these ques - tions are about how sentences work together, so focus on making them flow well. If Sentence 3 is negative and Sentence 4 is positive, Sentence 4 needs to start by acknowledging the change in at - titude (“However,” “Conversely,” etc.). The Essay Every SAT begins with an essay. You get 25 min - utes to write up to two pages. Here’s an example: Think carefully about the issue presented in the following excerpt and the assignment below. Scientific fields as varied as economics and evolutionary biology paint a picture of hu - mans as selfish and competitive, just like the rest of Earth’s creatures. Some people believe we should fight this instinct, that the world has become too competitive and people should be more cooperative and less adversarial. But this view underestimates the extent to which the competitive drive is hard-wired into our brains: one person’s success will always be someone else’s failure. Assignment: Must one person’s success come at someone else’s expense? Plan and write an essay in which you develop your point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, expe - rience, or observations.