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题目内容
$$0 < x < y$$

$$Rx+y < 0$$

Quantity A

$$x-y$$

Quantity B

$$R$$


In the figure, an equilateral polygon with 12 sides is inscribed in a circle. What is the measure, in degrees, of each of the angles of the polygon?


Each of 50 students took a 40-question quiz, and each student's raw score on the quiz was the number of questions answered correctly. The box plot above summarizes the 50 raw scores. In order to report scores on a scale for which the maximum score is 100, the reported score for each student was 20 more than twice the raw score. What is the interquartile range of the 50 reported scores?
What is the least positive integer $$b$$ such that the equation $$x^2+bx+18=0$$ has two integer solutions for $$x$$?

$$b$$=_____
$$(x^2+4x+3)(x^2-4x+4)=0$$

Quantity A

The number of different values of $$x$$ that satisfy the equation

Quantity B

3

Quantity A

The number of real roots of $$2x- \frac{4}{7}$$=0

Quantity B

The number of real roots of $$2x^2 + \frac{4}{7}$$=0


Points P, R, and S are on the circle with cener O. The measure of angle ROS is 92°.

Quantity A

x

Quantity B

y
$$0 < a < b < c$$

The average of $$a$$, $$b$$, and $$c$$ is $$b$$.

Quantity A

The average (arithmetic mean) of $$a^2$$, $$b^2$$ and $$c^2$$

Quantity B

The median of $$a^2$$, $$b^2$$ and $$c^2$$

Quantity A

The area of a triangle with a perimeter of 40 and a side whose length is 12

Quantity B

72


0 < $$x$$ < 90

Quantity A

$$y$$

Quantity B

5
$$y=(x-1)(x-3)(x-5)(x-7)(x-9)(x-11)$$

For which of the following value of $$x$$ is the value of $$y$$ negative?

Indicate all such values of $$x$$.
Which of the following is a value of $$x$$ for which $$x^{12}-x^{10}+x^8-x^6 \gt 0?$$
In a mayoral election, Candidate X received $$33\frac{1}{3}$$ percent more votes than Candidate Y, and Candidate Y received 25 percent fewer votes than Candidate Z.

Quantity A

The number of votes that Candidate X received

Quantity B

8 percent more than the number of votes that Candidate Z received
A survey of 500 households found that 450 households had a microwave oven, 300 had a food processor, and 150 had a trash compactor. Each of the 500 households had at least one of the appliances, and more than 100 households had all three appliances. Which of the following could be the number of households that had a food processor and a trash compactor but no microwave oven?

Indicate all such numbers.

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