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GRE Math: Formulas, Functions, and Sequences Practice Test
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Avg score: 76% • Most missed: “In a certain sequence, each term is 7 greater than the term before it. If the th…”
GRE Math: Formulas, Functions, and Sequences Practice Test
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7 Questions

1. In a certain sequence, each term is 7 greater than the term before it. If the third term of the sequence is 39, what is the 13th term?
2. For all numbers, x, the function f is defined by Image
, where a is a constant. If f(3) = 45, then a =
3. For all numbers x where x ≠ 0, if f(x) is defined by Image
and g(x) is defined by Image
, then f(g(2)) =
4. For all numbers x where x ≠ 0, if f(x) is defined by Image
and g(x) is defined by Image
, then f(g(2)) =
5. A student’s efficiency, E, is measured by the following formula: Image
, where t = hours spent studying and d = hours spent browsing the Internet. Yesterday, Gerald and Harry spent the same amount of time studying, but Gerald spent twice as much time browsing the Internet. Yesterday, Harry’s efficiency was how many times greater than Gerald’s efficiency?
6. For all numbers a and b, if the operation $ is defined by Image
, then 3 $ (5 $ 8) =
7. A student’s efficiency, E, is measured by the following formula: Image
, where t = hours spent studying and d = hours spent browsing the Internet. Yesterday, Gerald and Harry spent the same amount of time studying, but Gerald spent twice as much time browsing the Internet. Yesterday, Harry’s efficiency was how many times greater than Gerald’s efficiency?

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