Math 05 Practice

Point A is to be graphed in a quadrant, not on an axis, of the standard (x, y) coordinate plane below.

If the x-coordinate and the y-coordinate of point A are to have the same signs, then point A must be located in:

Quadrant I or III only

If the coordinates of the point X have the same sign, then X must be located in which of the four quadrants seen in the following figure?

Quadrant I or III only

The area of a rectangle in the (x, y) coordinate plane is 6. The corners of the rectangle are the points A (1, 4), B (4, 4), C (4, 6), and D (x, y). What are the coordinates of point D?

(1, 6)

Which of the following could be the coordinates of the point M in the (x, y) coordinate plane is shown?

(−2, 2)

The coordinates of a point P are (x, y) such that xy > 0. Given the four quadrants of the (x, y) coordinate plane shown, which of the following statements MUST be true?

Point P must lie in either quadrant I or quadrant III.

The points A (1, 0), B (1, 8), and C (5, 0) form a triangle in the (x, y) coordinate plane. In coordinate units, what is the area of △ABC?

16

What is the y-coordinate of the point in the standard (x, y) coordinate plane at which the 2 lines y=x2+3 and y = 3x − 2 intersect?

4

How many ordered pairs (x, y) of real numbers will satisfy the equation 5x − 7y = 13?

Infinitely Many

A line in the (x, y) coordinate plane has a positive y-intercept c and a negative slope. Which of the following statements MUST be true about the x-intercept of this line?

x>0

A line segment AB⎯⎯⎯⎯⎯ in the (x, y) coordinate plane has a midpoint that lies on the y-axis and is perpendicular to that axis. If the coordinates of point A are (−8, 6), which of the following could be the coordinates of point B?

(8,6)