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y=2$$x^{2}$$+7x-3

Quantity A

x

Quantity B

y




The figure shows the graph of the equation y=k-$$x^{2}$$, where k is a constant. If the area of triangle ABC is $$\frac{1}{8}$$, what is the value of k?

Give your answer as a decimal.
$$y_1$$=2$$x^{2}$$-2, $$y_2$$=-2$$x^{2}$$-2,

How many points of intersection do $$y_1$$ and $$y_2$$ have?


If 0< x < y <10, then A (x, y) represents the area of the region bounded by the number line, the semi-circle, and the vertical segments at x and y, as indicated by the shaded region.
0 < a < b < c < 10

Quantity A

A (a, b) + A (b, c)

Quantity B

A (a, c)





(4, 6) is the center of the circle above.

Quantity A

The radius of the circle

Quantity B

6



In the figure above, line k is parallel to line m. What is the value of y?
Give your answer as a decimal.

In the figure above, if m || k and s=t+30, then t=

Lines l and m below are parallel. Find the values of y.

Quantity A

x

Quantity B

y



In the figure below, AC = BC. Find the values of x and y.

In the figure below, what is the relationship between x, y, and z?

The figure above is a regular octagon. A diagonal of an octagon is any line segment connecting two nonadjacent vertices.

Quantity A

The number of diagonals of the octagon that are parallel to at least one side of the octagon

Quantity B

The number of diagonals of the octagon that are not parallel to any side of the octagon



The figure below is a regular hexagon.

Quantity A

a

Quantity B

b



The figure shows a regular 9-sided polygon inscribed in a circle with center O.

Quantity A

The perimeter of the regular polygon

Quantity B

3 times the perimeter of triangle OAB



The figure above is a regular hexagon

Quantity A

Length of AC

Quantity B

Length of BE



In the figure, a regular 8-side polygon is inscribed in the circle with Center O. What is the value of x?
Between two similar pentagons, the length of each side of the smaller pentagon is half of the larger one. If the area of the larger pentagon is $$\frac{1}{3}$$, then the area of the smaller pentagon is?

Quantity A

∠ABD

Quantity B

∠BCD + ∠CDB


In the triangle ABC, if BD is an altitude, while D lies on the side AC, then which of the three angles in the triangle could be an obtuse angle?


Quantity A

Length of AB

Quantity B

Length of BC


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