# Tutor profile: Eugenie B.

## Questions

### Subject: SAT

A Lion’s Share of Luck It’s the beginning of February, and as they do every year, thousands of people line H Street, the heart of Chinatown in Washington, DC. The crowd has gathered to celebrate Lunar New Year. The street is a sea of **red. Red is** the traditional Chinese color of luck and happiness. Which choice most effectively combines the sentences at the portion surrounded by astericks (**)? A) red, B) red; in addition, red is C) red; in other words, red is D) red, the color; that is

The correct answer is A. Although B and C are grammatically correct, B and C do not effectively combine the two sentences because they are too wordy. Keep in mind that the ACT likes the wording to be as concise as possible. D is not grammatically correct because it is not a full sentence. A is grammatically correct and concise.

### Subject: ACT

How many irrational numbers are there between 1 and 6 ? a) 1 b) 3 c) 4 d) 10 e) infinitely many

The correct answer is e. An irrational number is any number that cannot be expressed as a ratio between two numbers. Therefore, 7 is a rational number because it can be expressed as 7/1, while square root of 2 is an irrational number because the numbers in the decimal go on forever (1.41421...). a,b,c,d are incorrect because between any two integers, there are infinitely many irrational numbers.

### Subject: Algebra

What is the solution of the equation (x+2)/2 =4/x?

First, get the x's on one side and the numbers on the other.: x (x+2)/2= 4 x (x+2) = 8 Then, you will find that this equation can be rearranged to make a quadratic equation: x^2 + 2x -8=0 Then, solve for the quadratic equation: (x+4)(x-2)=0 x= - 4, x=2

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