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$$1 \lt x+y$$

Quantity A

$$x^2+y^2$$

Quantity B

$$1$$




RSTW is a parallelogram with x < 90.

Quantity A

The area of the region enclosed by RSTW

Quantity B

50


Three of the vertices of parallelogram RSTU in the xy-plane are R(-3, -2), S(1, -5), and T(9, 1). Which of the following could be the x-coordinate of vertex U?
Which of the following is closest to the fraction of the families with students in four-year public colleges who do not use income or savings as the main source to pay for college expenses?
The probability is 0.70 that event E occurs, 0.40 that event F occurs, and 0.30 that both events occur.

Quantity A

The probability that neither event E nor event F occur

Quantity B

0.20


A certain list consists of 25 different positive integers, where each of the integers is a multiple of the positive integer m, The greatest integer in the list is 250.

Quantity A

m

Quantity B

5


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?
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 survey of voters who were either supporters of Candidate A or supporters of Candidate B showed that 64 percent of the supporters of Candidate A and 50 percent of the supporters of Candidate B were in favor of a progressive income tax.

Quantity A

The percent of the voters surveyed who were in favor of a progressive

Quantity B

57%


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?
Machines A, B, and C produce widgets at their respective constant rates. Machine A produces $$n$$ widgets in $$x$$ hours, machine B produces $$n$$ widgets in $$2x$$ hours, and machine C produces $$n$$ widgets in $$3x$$ hours. In terms of $$x$$, how many hours does it take the three machines, working simultaneously at their respective constant rates to produce $$n$$ widgets?
Polygon P has more than 5 sides. Polygon Q has twice as many sides as polygon P.

Quantity A

Twice the sum of the interior angles of polygon P

Quantity B

The sum of the interior angles of polygon Q


In the xy-plane, the point (2, 5) is a vertex of a square that has sides of length 3. Which of the following points could be the vertex of the square that is diagonally opposite the vertex (2, 5)?

Indicate all such points.


The table shows four different amounts of money invested on the same day at different simple annual interest rates. If each investment earns the same amount of interest for the first year after the investment is made, what is the value of $$y - x$$?
Investors X and Y each invested $5,000 for 2 years at an annual interest rate of 6 percent.

Quantity A

The total amount of interest X earned if the interest was compounded semiannually

Quantity B

The total amount of interest Y earned if the interest was compounded monthly


Working at their respective constant rates, machine A can produce 10,000 widgets in 10 hours, and machine B can produce 10,000 widgets in 5 hours. If the two machines work simultaneously and independently at their respective constant rates, then they would produce a total of 10,000 widgets in how many minutes?
The function $$f$$ is defined by $$f(n)=3n^2+2n+5$$ for all integers $$n$$.

Quantity A

The least value of $$f(n)$$ for all integers $$n$$

Quantity B

$$5$$




In the xy-plane, what is the area of the quadrilateral region ABCD?
Of the 29 students in a class, 15 students study French, fewer than 16 students study Spanish, and 5 students study neither French nor Spanish. Which of the following could be the number of students in the class who study both French and Spanish?

Indicate all such numbers.

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