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题目内容
A train engine, traveling at a constant rate, passed Station A on its way to Station B. Thirty minutes after the engine passed Station A, it was 40 miles from Station B, and 45 minutes after it passed Station A, it was 23 miles from Station B, where these distances were measured along the train route between the two stations. How fast was the train engine traveling, in miles per hour?

_____miles per hour
Sixty-eight people are sitting in 20 cars, and each car contains at most 4 people. What is the maximum possible number of cars that could contain exactly 1 of 68 people?
11, 12, 13, 14, 15

Which of the following changes to the list of numbers above would increase the average (arithmetic mean) of the numbers but not affect their standard deviation?
$$2 < x < 5$$

Quantity A

$$x^2-7x+10$$

Quantity B

0
Last month a certain contractor received $350,000 for each home in a group of 8 homes sold. Additionally the contractor received a total of $2,150,000 for all 7 homes sold in another group of homes. For the 15 homes sold how much less was the average (arithmetic mean) selling price than the median selling price?

Quantity A

The greatest possible value of the product of two positive integers whose sum is 9

Quantity B

18
0 < x < 1

Quantity A

$$\frac{1}{x^2-x}$$

Quantity B

0
n is a positive integer.

Quantity A

$$(-1)^{2n}+(-1)^{2n-1}$$

Quantity B

0
$$0 < x^y < 1$$

$$y$$ is an integer

Quantity A

$$y$$

Quantity B

0
Five gift cards will be distributed among 10 people so that no person receives more than one gift card. The gift cards consist of one $100 gift card, one $50 gift card, one $25 gift card and two $10 gift cards. How many different distributions of the five gift cards among the 10 people are possible if the two $10 gift cards are considered to be identical?
If a positive integer that is less than or equal to 1,000 is to be selected at random, what is the probability that at least one digit of the selected integer will be 6?
Although producers of Broadway plays are attempting to curb overall costs, the problem of runaway production costs seems _______________: conditioned by movies, theme parks, and computer games, audiences demand ever more thrilling (and costly) special effects in plays.


The table shows values of the function $$f$$ , the graph of which is a line in the xy-plane. What is the value of $$f(x)$$ when $$x=104$$?

$$f(104)$$=____________?
In the rectangular coordinate system, the graph of a certain line contains the points (-4, -2), (14, 12), and (23, y).

Quantity A

y

Quantity B

21


The table above shows the values of f(x) for selected values of x, where f(x) is a linear function. What is the value of f(-10)?


In the $$xy$$-plane, the graph of the function $$y=f(x)$$ for $$0 \leq x \leq 15$$ consists of two line segments intersecting at the point $$(6, 0)$$. The slopes of the two line segments are $$-1$$ and $$1$$.

Quantity A

$$f(3)$$

Quantity B

$$f(9)$$
If an integer x is to be randomly selected from among the integers between -3 and 3, inclusive, what is the probability that |x-2| > 0 ?
If an integer x is to be randomly selected from among the integers between 1 and 10, inclusive, what is the probability that 2|x-3| < 4 ?
$$x \lt 0$$

$$2y+3 \lt a$$

Quantity A

$$\frac{2y+3}{x}$$

Quantity B

$$\frac{a}{x}$$

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