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题目： If$$ 8^{n+1} + 8^{n} = 36$$, then n =

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题目： The system of equations has how many solutions?3x - 6y = 92y - x - 3 = 0

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题目： What is the perimeter of ABCDE?

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题目： For all integers n, the function f is defined by $${f}({n})={a}^{n}$$, where a is a constant. What is the value of $$f (1)$$?(1)$$f (2) = 100$$(2)$$f (3) = -1,000$$

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题目： Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?I. {35, 38, 43, 51, 64}II. {10, 16, 26, 42, 68}III. {46, 59, 67, 72, 75}

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题目： In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning the game?

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题目： If x and y are positive odd integers, then which of the following must also be an odd integer?I. $$x^{y+1}$$II. x(y+1)III. $$(y+1)^{x-1} + 1$$

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题目： $$10^{x} + 10^{y} + 10^{z} = n$$, where x, y, and z are positive integers. Which of the following could be the total number of zeroes, to the left of the decimal point, contained in n? I. x + yII. y – zIII. z

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题目： For how many unique coordinate points (P, Q), such that P and Q are integers, is it true that $$P^{2} - Q^{2} =$$ 1155?

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题目： If x is an odd negative integer and y is an even integer, which of the following statements must be true?I. (3x - 2y) is oddII. $$xy^{2}$$ is an even negative integerIII. $$(y^{2} - x)$$ is an odd negative integer

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题目： Given that the length of each side of a quadrilateral is a distinct integer and that the longest side is not greater than 7, how many different possible combinations of side lengths are there?

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题目： How many positive integers less than 10,000 are such that the product of their digits is 210?

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题目： For which real numbers x is the expression $${1}\over{(x-2)(x+1)}$$ not defined?

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题目： Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?(1)The average annual salary of the employees in Division R is $30,000.(2)The average annual salary of the employees at Company Q who are not in Division R is $35,000.

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题目： A salesperson received a 6-percent commission on the amount of total sales up to and including $10,000, and an r-percent commission on the amount of total sales over $10,000. If the salesperson received a total commission of $920 on total sales of $14,000, what was the value of r?