SAT Problems

Problem 1

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Problem 2

If a – b = 17.5 and a + b = 10 , what is the value of a 2 – b2 ?
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Problem 3

If x2 – y2 = 14 and x – y = 7 , what is the value of x + y ?
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Problem 4


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Problem 5

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Problem 6
For all numbers x and y, let x ♣ y be defined as x ♣ y = x2 − 2xy + y2 . What is the value of (2♣4)♣8 ?

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Problem 7

m2 − n2 < 12

m + n > 10

If m and n are positive integers in the inequalities above and m > n, what is the value of m ?

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Problem 8

If a2 – b2 = 12, and (a – b) = 4, then what is the value of ab ?
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Problem 9

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Problem 10

In the equations above, if a 0, which of the following is equal to (x – y) (x + y) ?

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