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Navya N.

Grade School Tutor

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SAT II Mathematics Level 1

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Question:

What is the median of this particular data set? Data set: {33,45,24,45,55,37,88,72}.

Navya N.

Answer:

In order to approach this kind of question, it is best to first order the numbers in ascending order, so for this data set, that order would be: {24, 33, 37, 45, 45, 55, 72, 88}. The best way to find the median is to cross out the highest and lowest numbers first, and continue with a similar pattern until all but one OR two numbers are left. If we continue this pattern with this data set, we will be left with two numbers at the end, both of which are 45. Since we are left with two numbers, we must take the average (or mean) of them. (45+45)/2 = 45, so the median of this data set is 45.

SAT

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Question:

If the total cost for renting a DVD at a particular store is described by: total cost = 1.5 + 0.75*(number of days rented for), then how much will Sally have to pay if she rents a DVD for 6 days?

Navya N.

Answer:

This is a common type of question on the SAT math section. In order to approach this question, it is necessary to understand the equation given and plug in the value given. We are told Sally is renting the DVD for 6 days. Thus, we must plug in 6 to the equation as "number of days rented for". Now, the equation will look like this: total cost - 1.5 + 0.75*(6). The problem now becomes a matter of arithmetic. Due to the order of operations, we must do the multiplication first. So, the expression now looks like: total cost = 1.5 + 4.5, which comes out to be 6. So, if Sally wants to rent a DVD for 6 days, she must pay $6.

Algebra

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Question:

What is the value of x when given 2x^2 + 4 = 22?

Navya N.

Answer:

To begin to solve this problem, you would first isolate the variable, which in this case is "x". Thus you would subtract 4 from the left and right hand side, leaving the equation looking like: 2x^2 = 18. Then, in order to isolate the variable further, you would divide both sides by 2, leaving you with x^2 = 9. Now you can do a square root on each side, leaving you with x = +/- 3. Remember, you have to use +/- as (3)^2 = 9 AND (-3)^2 = 9.

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