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R and T are two different points in the xy-plane. The coordinates of R are (4, 5), and the slope of the line containing R and T is 3.

Quantity A:The x-coordinate of T

Quantity B:2


Which of the following shaded regions represents the set of all points (a,b) in the xy-plane above such that (a+1, b+1) is in quadrant 1? (note that a point lies on axis is not in any quadrant?

Which of the following best represents the graph of the equation y-5x+4=0 in the xy-plane?



Line k and l lie in the xy-plane and are parallel.

Quantity A

a

Quantity B

b




The shaded triangle in the xy-plane above is bounded by the x-axis and the graphs of y=-x+3 and y=($$\frac{3}{2}$$ )x+3. What is the area of the triangle?


Quantity A

The perimeter of quadrilateral RSTW shown in the xy-plane

Quantity B

34








In the rectangular coordinate system, the point (2, 1) is on a circle whose center is (-2, -1). What is the circumference of the circle?
In the xy-plane, a triangle has vertices (0, 0), (k, 0) and (k, -4k), where k>0. If the area of the region enclosed by the triangle is 32, what is the value of k?


In the xy-plane, a circle with point O at the center is tangent to both the x-axis and the y-axis. AB is a diameter of the circle.

Quantity A

m

Quantity B

n


Which of the following could be a portion of the graph of y=$$(x+2)^{2}$$-5 in the xy-plane?
The function f is defined for all numbers x by f(x)=57$$x^{2}$$-kx+925, where k is a constant, and f(x)=f(-x) for all x.

Quantity A

k

Quantity B

0




Quantity A

x+z

Quantity B

y




In quadrilateral QRST, the length of RS is less than the length of QT, and RS is parallel to QT.

Quantity A

The length of QR

Quantity B

The length of ST


If the length of two sides of a triangle is 5 and 12, then which of the following could be the length of the third side?

Indicate all such possible values.


In the figure shown, AB=BD=DC and the degree measure of angle ABD is 80.

Quantity A

The degree measure of angle DBC

Quantity B

30




The lower sides of the two equilateral triangles are parallel. If the side of the bigger equilateral triangle is 36, and the perimeters of the smaller equilateral triangle and the trapezoid beneath are the same, what is the side of the smaller equilateral triangle?
If an equilateral triangle with sides of length 20 has an altitude of length 20x, then x=?
In the xy-plane, line segment RS is a side of a square. The coordinates of R are (2, 10) and the coordinates of the midpoint of RS are (7, 12). Which of the following CANNOT be the coordinates of a vertex of the square?
A metalworker has two sheets of metal. The first sheet is in the shape of an equilateral parallelogram with two opposite angles of measure 60 degrees each. The second sheet is in the shape of a square. If the metalworker cuts out the largest possible circle from each sheet, then the areas of the two circles will be equal. What is the ratio of the area of the first sheet to the area of the second sheet?


A certain closed curve consists of n semicircles having the same radius of $$\frac{r}{n}$$ together with a larger semicircle having a radius of r. The n semicircles are aligned along the diameter of the larger semicircle as indicated in the figure for n=7. The area of the region enclosed by the curve, in terms of n, and r, is which of the following?

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