SAT Problems
Problem 1
Problem 2
If a – b = 17.5 and a + b = 10 , what is the value of a 2 – b2 ?
Answer Help Solution
Problem 3
If x2 – y2 = 14 and x – y = 7 , what is the value of x + y ?
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Problem 4
Problem 5
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 ?
Answer Help Solution
Problem 9
Problem 10
In the equations above, if a 0, which of the following is equal to (x – y) (x + y) ?