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A rectangle is drawn in a standard xy-coordinate plane. If the sides of the rectangle are not parallel to the axes, what is the product of the slope of the four sides?
What is the y-intercept of the graph of the equation y=2·|4x-4|-10?
In the xy-plane, line k is a line that does not pass though the origin. Which of the following statements individually provide(s) sufficient additional information to determine whether the slope of line k is negative?

Indicate all such statements.
f(x)=($$x^{2}$$-x)(x-2)

Quantity A

The sum of all the x-intercepts of f(x)

Quantity B

2


In a circle, the center lies on the Point (-5, 2), while Point (6, 4) lies on the circle. What`s the diameter of the circle?
The distance between point (a, 2) and point (b, 6) is 5.

Quantity A: |a-b|

Quantity B: 3
In a circle, the center lies on the Point (4, 6). If SR is a diameter, Point S (6, 8) and Point R lie on the circle, then what`s the y-coordinate of Point R?


Parallelogram OPQR lies in the xy-plane, as shown in the figure above. The coordinates of point P are (2, 4) and the coordinates of points Q are (8, 6). What are the coordinates of point R?


Quantity A: w+d

Quantity B: c+z
In the xy-plane, triangular region R is bounded by the lines x = 0, y = 0, and 4x + 3y = 60. Which of the following points lie inside region R ?

Indicate all such points
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.
$$y_1=2x^{2}-2$$, $$y_2=-2x^{2}-2$$,

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.

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