Nova Math - Problem Set D: Defined Functions
Question Name Average time to answer (seconds) Total correct answers Total incorrect answers
For all p ≠ 2 define p* by the equation . If p =3, then p* = 46 96 7
Let [x] be defined by the equation Then which of the following equals ... ... 42 96 2
For all a and b, define a # b to be Column A Column B 2 # 3 2 ... ... 66 86 12
If denotes the area of a circle with diameter d, then which of the following ... ... 131 47 51
For all real numbers x, y, and z, let 79 78 20
Let [x] = x2 − 2. If [2] − [x] = x2, then x = 126 76 22
For all real numbers a and b, where a · b ≠ 0, let . Then which ... ... 304 57 40
The operation * is defined for all non-zero x and y by the equation . Then ... ... 81 69 28
Let x ⊗ y =x − y − 2x. For what value of x does x ⊗ ... ... 96 77 15
For all positive numbers n, What is the value of (64*)*? 59 77 15
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