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Example Questions
Example Question #243 : Algebra
Which graph correctly represents the position of the point at ?
Coordinate points are given x-coordinate first, y-coordinate second. The correct representation plots the point one unit to the left of the origin on the x-axis and four units up from the origin on the y-axis.
Example Question #244 : Algebra
Which of the following correctly identifies Points A and B, in that order, on the line?
Coordinate points are given x-coordinate first, y-coordinate second.
(-2, 1), (2, 4) is correct because it list the coordinates of each point in the correct order.
(1, -2), (4, 2) is incorrect because it lists the coordinates of each point in the incorrect order.
(2, 4), (-2, 1) is incorrect because, while it lists the coordinates of each point correctly, it misidentifies the points.
(4, 2), (1, -2) is incorrect because it both lists the coordinates of each point in the incorrect order and misidentifies the points.
Example Question #1 : Graphing An Ordered Pair
Which quadrants can include the point if nonzero numbers
and
have the same sign?
Either Quadrant I or Quadrant III
Either Quadrant I or Quadrant IV
Either Quadrant I or Quadrant II
Either Quadrant II or Quadrant IV
Either Quadrant II or Quadrant III
Either Quadrant I or Quadrant IV
If and
have the same sign, then
, and the point has a positive
-coordinate. The sign of
is the same as the common sign of
and
. Therefore, only the
-coordinate restricts the possibilities.
The points witn positive -coordinates are in Quadrant I and Quadrant IV.
Example Question #101 : Coordinate Geometry
Which quadrant or axis can include the point ?
The -axis
Quadrant III
Quadrant I
Quadrant IV
Quadrant II
Quadrant I
The ordered pair consists of a positive
-coordinate and a positive
-coordinate. The only quadrant that consists entirely of positive
- and
-coordinates is Quadrant I.
Example Question #1031 : Gmat Quantitative Reasoning
Which quadrant or axis contains the point ?
The -axis
Quadrant III
Quadrant II
The -axis
Quadrant I
The -axis
The ordered pair consists of a positive
-coordinate and a
-coordinate of
. The only part of the coordinate plane on which all points have a zero
-coordinate is the
-axis.
Example Question #102 : Graphing
Which of the following ordered pairs is in Quadrant III?
By definition, only Quadrant III contains ordered pairs that have both negative - and
-coordinates.
Example Question #103 : Graphing
Which quadrant or axis includes the point ?
The -axis
Quadrant IV
Quadrant II
Quadrant III
Quadrant I
Quadrant II
The ordered pair has a negative
-coordinate and a positive
-coordinate. By definition, all ordered pairs with negative
-coordinates and a positive
-coordinates exist in Quadrant II.
Example Question #108 : Graphing
Which quadrant or axis includes the point ?
Quadrant III
The -axis
The -axis
Quadrant I
Quadrant II
The -axis
The ordered pair has a zero
-coordinate and a nonzero
-coordinate. By definition, all ordered pairs with zero
-coordinates and nonzero
-coordinates is on the
-axis.
Example Question #4 : Graphing An Ordered Pair
Which of the following ordered pairs is in Quadrant I?
None of these coordinates
By definition, all ordered pairs with positive -coordinates and positive
-coordinates are in Quadrant I. Therefore, the only ordered pair in this quadrant is
.
Example Question #102 : Coordinate Geometry
In which quadrant is the point ?
Quadrant II
Quadrant III
Quadrant I
Quadrant IV
Quadrant II
The quadrants are numbered as follows:
The point (-2,3) has a negative x coordinate, so the point is on the left side of the y-axis, and a positive y-coordinate, so the point is above the x-axis.
That places it in quadrant II.
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