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题目内容
Committee A is composed of 14 people and committee B is composed of 10 people. At least 6 people are members of both committees.

Quantity A

The greatest possible number of members present if the two committees meet in a joint session

Quantity B

18
$$x+\frac{1}{x}=2$$

Quantity A

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

Quantity B

2
2z=x+y

Quantity A

The average (arithmetic mean) of x, y and z

Quantity B

z
n is an integer greater than 1.

Quantity A

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

Quantity B

$$(2n+1)^{-1}$$
x ≥ 2

$$\sqrt{x-2}=x-2$$

Quantity A

x

Quantity B

$$\frac{5}{2}$$


Quantity A

x

Quantity B

y+z
Which of the following is the graph of all the values of x such that |2x-1| ≤ 7?

Quantity A

$$x^{2}+(\frac{1}{x})^{2}$$

Quantity B

$$(x+\frac{1}{x})^{2}$$
M, a, and b are positive numbers.

Quantity A

$$\frac{M(a^{2}+b^{2})}{12}$$

Quantity B

$$\frac{M(a+b)^{2}}{12}$$
What is the probability that the product is an even integer when randomly multiplying two different integers from 1 to 25, inclusive?

Give your answer as a fraction.
A restaurant has a total of 18 tables. Each of the tables is occupied by either 1 or 2 people. The number of people occupying the tables is 26.

Quantity A

The number of tables occupied by only 1 person

Quantity B

9
The functions $$f$$ and $$g$$ are defined for all numbers x by $$f(x)=x^{2}$$ and $$g(x)=bx+1$$, where b is a constant and $$0 < b < 2$$. Which of the following could be the graph of $$y=f(x)+g(x)$$ in the xy-plane?
If $$x=(96,538)(701,865)$$, then $$x$$ is between?


In the square above, the side is 10, and points, P, Q, O, and R are all midpoints of each side. What is the area of the shaded region?
The median of the set of numbers $$s_{1}$$ < $$s_{2}$$ < $$s_{3}$$ < $$s_{4}$$ < $$s_{5}$$ < $$s_{6}$$ < $$s_{7}$$ is 130.

Quantity A

The median of $$s_{1}$$, $$s_{3}$$, $$s_{5}$$, $$s_{6}$$, $$s_{7}$$

Quantity B

130
When the integer n is divided by 12, the remainder is 9. Which of the following must be a divisor of n?
A bottle has a volume of m liters and is $$\frac{1}{2}$$ full of water. A second bottle has a volume of n liters and is $$\frac{1}{3}$$ full of water. The contents of both bottles are poured into an empty tank that has a volume of r liters, where r ≥ m + n. Which of the following represents the fraction of the tank's volume that is filled with water?
In the xy-plane, what is the slope of the line containing the two points with coordinates (7a, -10a) and (-13a, -4a), where a≠0?
A weather report stated that 3 inches of rain is equivalent to 24 inches of snow. According to the weather report, 12 inches of rain is equivalent to how many feet of snow? (12 inches = 1 foot)

_____feet

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