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题目内容
Which of the following is an integer?
Which of the following is equivalent to $$36^{-1}$$?

Quantity A

$$(-2)^{-5}$$

Quantity B

-1
A quadratic equation of the form $$x^2-cx+d=0$$, where $$c$$ and $$d$$ are constants, has solutions 2 and 7. What is the value of $$d$$?

_____
A lecture hall has 15 rows of seats. There are $$n-2$$ seats in the first row and $$n$$ seats in each of the other rows. If there are no other seats in the lecture hall and the total number of seats in the lecture hall is between 180 and 200, what is the total number of seats in the lecture hall?
$$x^{3} < -8$$

$$y^{2} > 16$$

Quantity A

x

Quantity B

y
The function $$f$$ is defined for all numbers $$x$$ by $$f(x) = 2+ 3x$$.

Quantity A

$$f(x+4)-f(x)$$

Quantity B

12


Quantity A

The length of line segment PQ

Quantity B

6
$$r$$, $$s$$, and $$t$$ are prime numbers such that $$r < s < t$$.

Quantity A

The number of positive factors of $$rs$$

Quantity B

The number of positive factors of $$st$$
On March 1, 2018, James deposited $12,000 in a new savings account, X, that earned interest at an annual rate of 6 percent, compounded annually. There were no other transactions in the account. On March 1, 2019, James withdrew the total amount of money in account X and deposited that money in a new savings account, Y, that earned interest at an annual rate of 7 percent, compounded annually. There were no other transactions in the account. How much more money did James have on March 1, 2020, in account Y than he would have had in account X if he had not withdrawn the money on March 1, 2019, assuming account X continued earning an annual rate of 6 percent, compounded annually, and there were no other transactions in the account?
The lengths of the sides of a right triangle are 5, 9, and x. The value of x could be between which of the following pairs of integers?

Indicate all such pairs.


What is the value of $$\frac{t}{u}$$?


The figure shows a rectangle where the line segment with length x is perpendicular to the diagonal of the rectangle. What is the value of x?


In the figure shown, O is the center of the circle and $$x$$ and $$y$$ are the lengths of two line segments.

Quantity A

The radius of the circle

Quantity B

$$\frac{x+y}{2}$$
On a scaled map, the point for the geographical center of City A is 4 inches from the point for the geographical center of City B, and the point for the geographical center of City B is 2 inches from the point for the geographical center of City C. The actual distance from the geographical center of City A to the geographical center of City B is 500 miles. Which of the following values could be the actual distance, in miles, from the geographical center of City A to the geographical center of City C?

Indicate all such values.
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
Brand A cheese is sold at a cost of $$$4.00$$ per pound. Brand B cheese is sold at a cost of $6.00 per pound.

Quantity A

The cost of $$\frac{1}{2}$$ pound of Brand A cheese at this rate

Quantity B

The cost of $$\frac{1}{4}$$ pound of Brand B cheese at this rate
The function $$f$$ and $$g$$ are defined for all numbers $$x$$ by $$f(x)=1-2x$$ and $$g(x)=x^2-1$$.

Quantity A

$$f(g(f(-2)))

Quantity B

$$g(f(g(-2)))
List L consists of 1,349 different positive values, and list K consists of the reciprocals of the 1,349 values in L.

Quantity A

The median of L

Quantity B

The reciprocal of the median of K

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